gcc/libstdc++-v3/include/tr1/poly_hermite.tcc
Edward Smith-Rowland 2be75957b8 Implement TR29124 C++ special Math Functions.
2016-01-14  Edward Smith-Rowland  <3dw4rd@verizon.net>
	    Jonathan Wakely  <jwakely@redhat.com>
	    Florian Goth <CaptainSifff@gmx.de>

	Implement TR29124 C++ special Math Functions.
	* include/Makefile.am: Add new headers.
	* include/Makefile.in: Regenerate.
	* include/bits/specfun.h: New.
	* include/c_global/cmath: Adjust for both tr1 and tr29124 maths.
	* include/tr1/bessel_function.tcc: Ditto.
	* include/tr1/beta_function.tcc: Ditto.
	* include/tr1/cmath: Ditto.
	* include/tr1/ell_integral.tcc: Ditto.
	* include/tr1/exp_integral.tcc: Ditto.
	* include/tr1/gamma.tcc: Ditto.
	* include/tr1/hypergeometric.tcc: Ditto.
	* include/tr1/legendre_function.tcc: Ditto.
	* include/tr1/modified_bessel_func.tcc: Ditto.
	* include/tr1/poly_hermite.tcc: Ditto.
	* include/tr1/poly_laguerre.tcc: Ditto.
	* include/tr1/riemann_zeta.tcc: Ditto.
	* include/tr1/special_function_util.h: Ditto.
	* testsuite/ext/special_functions/conf_hyperg: New.
	* testsuite/ext/special_functions/conf_hyperg/check_nan.cc: New.
	* testsuite/ext/special_functions/conf_hyperg/check_value.cc: New.
	* testsuite/ext/special_functions/conf_hyperg/compile.cc: New.
	* testsuite/ext/special_functions/hyperg: New.
	* testsuite/ext/special_functions/hyperg/check_nan.cc: New.
	* testsuite/ext/special_functions/hyperg/check_value.cc: New.
	* testsuite/ext/special_functions/hyperg/compile.cc: New.
	* testsuite/libstdc++-dg/conformance.exp: Add special_functions directory.
	* testsuite/special_functions/01_assoc_laguerre/check_nan.cc: New.
	* testsuite/special_functions/01_assoc_laguerre/check_value.cc: New.
	* testsuite/special_functions/01_assoc_laguerre/compile.cc: New.
	* testsuite/special_functions/01_assoc_laguerre/compile_2.cc: New.
	* testsuite/special_functions/02_assoc_legendre/check_nan.cc: New.
	* testsuite/special_functions/02_assoc_legendre/check_value.cc: New.
	* testsuite/special_functions/02_assoc_legendre/compile.cc: New.
	* testsuite/special_functions/02_assoc_legendre/compile_2.cc: New.
	* testsuite/special_functions/03_beta/check_nan.cc: New.
	* testsuite/special_functions/03_beta/check_value.cc: New.
	* testsuite/special_functions/03_beta/compile.cc: New.
	* testsuite/special_functions/03_beta/compile_2.cc: New.
	* testsuite/special_functions/04_comp_ellint_1/check_nan.cc: New.
	* testsuite/special_functions/04_comp_ellint_1/check_value.cc: New.
	* testsuite/special_functions/04_comp_ellint_1/compile.cc: New.
	* testsuite/special_functions/04_comp_ellint_1/compile_2.cc: New.
	* testsuite/special_functions/05_comp_ellint_2/check_nan.cc: New.
	* testsuite/special_functions/05_comp_ellint_2/check_value.cc: New.
	* testsuite/special_functions/05_comp_ellint_2/compile.cc: New.
	* testsuite/special_functions/05_comp_ellint_2/compile_2.cc: New.
	* testsuite/special_functions/06_comp_ellint_3/check_nan.cc: New.
	* testsuite/special_functions/06_comp_ellint_3/check_value.cc: New.
	* testsuite/special_functions/06_comp_ellint_3/compile.cc: New.
	* testsuite/special_functions/06_comp_ellint_3/compile_2.cc: New.
	* testsuite/special_functions/07_cyl_bessel_i/check_nan.cc: New.
	* testsuite/special_functions/07_cyl_bessel_i/check_value.cc: New.
	* testsuite/special_functions/07_cyl_bessel_i/compile.cc: New.
	* testsuite/special_functions/07_cyl_bessel_i/compile_2.cc: New.
	* testsuite/special_functions/07_cyl_bessel_i/pr56216.cc: New.
	* testsuite/special_functions/08_cyl_bessel_j/check_nan.cc: New.
	* testsuite/special_functions/08_cyl_bessel_j/check_value.cc: New.
	* testsuite/special_functions/08_cyl_bessel_j/compile.cc: New.
	* testsuite/special_functions/08_cyl_bessel_j/compile_2.cc: New.
	* testsuite/special_functions/09_cyl_bessel_k/check_nan.cc: New.
	* testsuite/special_functions/09_cyl_bessel_k/check_value.cc: New.
	* testsuite/special_functions/09_cyl_bessel_k/compile.cc: New.
	* testsuite/special_functions/09_cyl_bessel_k/compile_2.cc: New.
	* testsuite/special_functions/10_cyl_neumann/check_nan.cc: New.
	* testsuite/special_functions/10_cyl_neumann/check_value.cc: New.
	* testsuite/special_functions/10_cyl_neumann/compile.cc: New.
	* testsuite/special_functions/10_cyl_neumann/compile_2.cc: New.
	* testsuite/special_functions/11_ellint_1/check_nan.cc: New.
	* testsuite/special_functions/11_ellint_1/check_value.cc: New.
	* testsuite/special_functions/11_ellint_1/compile.cc: New.
	* testsuite/special_functions/11_ellint_1/compile_2.cc: New.
	* testsuite/special_functions/12_ellint_2/check_nan.cc: New.
	* testsuite/special_functions/12_ellint_2/check_value.cc: New.
	* testsuite/special_functions/12_ellint_2/compile.cc: New.
	* testsuite/special_functions/12_ellint_2/compile_2.cc: New.
	* testsuite/special_functions/13_ellint_3/check_nan.cc: New.
	* testsuite/special_functions/13_ellint_3/check_value.cc: New.
	* testsuite/special_functions/13_ellint_3/compile.cc: New.
	* testsuite/special_functions/13_ellint_3/compile_2.cc: New.
	* testsuite/special_functions/14_expint/check_nan.cc: New.
	* testsuite/special_functions/14_expint/check_value.cc: New.
	* testsuite/special_functions/14_expint/compile.cc: New.
	* testsuite/special_functions/14_expint/compile_2.cc: New.
	* testsuite/special_functions/15_hermite/check_nan.cc: New.
	* testsuite/special_functions/15_hermite/check_value.cc: New.
	* testsuite/special_functions/15_hermite/compile.cc: New.
	* testsuite/special_functions/15_hermite/compile_2.cc: New.
	* testsuite/special_functions/16_laguerre/check_nan.cc: New.
	* testsuite/special_functions/16_laguerre/check_value.cc: New.
	* testsuite/special_functions/16_laguerre/compile.cc: New.
	* testsuite/special_functions/16_laguerre/compile_2.cc: New.
	* testsuite/special_functions/17_legendre/check_nan.cc: New.
	* testsuite/special_functions/17_legendre/check_value.cc: New.
	* testsuite/special_functions/17_legendre/compile.cc: New.
	* testsuite/special_functions/17_legendre/compile_2.cc: New.
	* testsuite/special_functions/18_riemann_zeta/check_nan.cc: New.
	* testsuite/special_functions/18_riemann_zeta/check_value.cc: New.
	* testsuite/special_functions/18_riemann_zeta/compile.cc: New.
	* testsuite/special_functions/18_riemann_zeta/compile_2.cc: New.
	* testsuite/special_functions/19_sph_bessel/check_nan.cc: New.
	* testsuite/special_functions/19_sph_bessel/check_value.cc: New.
	* testsuite/special_functions/19_sph_bessel/compile.cc: New.
	* testsuite/special_functions/19_sph_bessel/compile_2.cc: New.
	* testsuite/special_functions/20_sph_legendre/check_nan.cc: New.
	* testsuite/special_functions/20_sph_legendre/check_value.cc: New.
	* testsuite/special_functions/20_sph_legendre/compile.cc: New.
	* testsuite/special_functions/20_sph_legendre/compile_2.cc: New.
	* testsuite/special_functions/21_sph_neumann/check_nan.cc: New.
	* testsuite/special_functions/21_sph_neumann/check_value.cc: New.
	* testsuite/special_functions/21_sph_neumann/compile.cc: New.
	* testsuite/special_functions/21_sph_neumann/compile_2.cc: New.
	* testsuite/util/specfun_testcase.h: New.
	* testsuite/tr1/5_numerical_facilities/special_functions/08_cyl_bessel_i/check_value.cc: More testcases.
	* testsuite/tr1/5_numerical_facilities/special_functions/09_cyl_bessel_j/check_value.cc: Ditto.
	* testsuite/tr1/5_numerical_facilities/special_functions/10_cyl_bessel_k/check_value.cc: Ditto.
	* testsuite/tr1/5_numerical_facilities/special_functions/11_cyl_neumann/check_value.cc: Ditto.
	* testsuite/tr1/5_numerical_facilities/special_functions/21_sph_bessel/check_value.cc: Ditto.
	* testsuite/tr1/5_numerical_facilities/special_functions/23_sph_neumann/check_value.cc: Ditto.
	* testsuite/tr1/5_numerical_facilities/special_functions/16_hermite/check_value.cc: New.


Co-Authored-By: Florian Goth <CaptainSifff@gmx.de>
Co-Authored-By: Jonathan Wakely <jwakely@redhat.com>

From-SVN: r232377
2016-01-14 18:12:43 +00:00

132 lines
3.8 KiB
C++

// Special functions -*- C++ -*-
// Copyright (C) 2006-2016 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.
* Do not attempt to use it directly. @headername{tr1/cmath}
*/
//
// 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 _GLIBCXX_VISIBILITY(default)
{
#if __STDCPP_WANT_MATH_SPEC_FUNCS__
#elif defined(_GLIBCXX_TR1_CMATH)
namespace tr1
{
#else
# error do not include this header directly, use <cmath> or <tr1/cmath>
#endif
// [5.2] Special functions
// Implementation-space details.
namespace __detail
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
/**
* @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(unsigned int __n, _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(unsigned int __n, _Tp __x)
{
if (__isnan(__x))
return std::numeric_limits<_Tp>::quiet_NaN();
else
return __poly_hermite_recursion(__n, __x);
}
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace __detail
#if ! __STDCPP_WANT_MATH_SPEC_FUNCS__ && defined(_GLIBCXX_TR1_CMATH)
} // namespace tr1
#endif
}
#endif // _GLIBCXX_TR1_POLY_HERMITE_TCC