| // Copyright (c) 2013 Anton Bikineev |
| // Use, modification and distribution are subject to the |
| // Boost Software License, Version 1.0. (See accompanying file |
| // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) |
| |
| // |
| // This is a partial header, do not include on it's own!!! |
| // |
| // Linear combination for bessel derivatives are defined here |
| #ifndef BOOST_MATH_SF_DETAIL_BESSEL_DERIVATIVES_LINEAR_HPP |
| #define BOOST_MATH_SF_DETAIL_BESSEL_DERIVATIVES_LINEAR_HPP |
| |
| #ifdef _MSC_VER |
| #pragma once |
| #endif |
| |
| namespace boost{ namespace math{ namespace detail{ |
| |
| template <class T, class Tag, class Policy> |
| inline T bessel_j_derivative_linear(T v, T x, Tag tag, Policy pol) |
| { |
| return (boost::math::detail::cyl_bessel_j_imp<T>(v-1, x, tag, pol) - boost::math::detail::cyl_bessel_j_imp<T>(v+1, x, tag, pol)) / 2; |
| } |
| |
| template <class T, class Policy> |
| inline T bessel_j_derivative_linear(T v, T x, const bessel_int_tag& tag, Policy pol) |
| { |
| return (boost::math::detail::cyl_bessel_j_imp<T>(itrunc(v-1), x, tag, pol) - boost::math::detail::cyl_bessel_j_imp<T>(itrunc(v+1), x, tag, pol)) / 2; |
| } |
| |
| template <class T, class Policy> |
| inline T sph_bessel_j_derivative_linear(unsigned v, T x, Policy pol) |
| { |
| return (v / x) * boost::math::detail::sph_bessel_j_imp<T>(v, x, pol) - boost::math::detail::sph_bessel_j_imp<T>(v+1, x, pol); |
| } |
| |
| template <class T, class Policy> |
| inline T bessel_i_derivative_linear(T v, T x, Policy pol) |
| { |
| return (boost::math::detail::cyl_bessel_i_imp<T>(v-1, x, pol) + boost::math::detail::cyl_bessel_i_imp<T>(v+1, x, pol)) / 2; |
| } |
| |
| template <class T, class Tag, class Policy> |
| inline T bessel_k_derivative_linear(T v, T x, Tag tag, Policy pol) |
| { |
| return (boost::math::detail::cyl_bessel_k_imp<T>(v-1, x, tag, pol) + boost::math::detail::cyl_bessel_k_imp<T>(v+1, x, tag, pol)) / -2; |
| } |
| |
| template <class T, class Policy> |
| inline T bessel_k_derivative_linear(T v, T x, const bessel_int_tag& tag, Policy pol) |
| { |
| return (boost::math::detail::cyl_bessel_k_imp<T>(itrunc(v-1), x, tag, pol) + boost::math::detail::cyl_bessel_k_imp<T>(itrunc(v+1), x, tag, pol)) / -2; |
| } |
| |
| template <class T, class Tag, class Policy> |
| inline T bessel_y_derivative_linear(T v, T x, Tag tag, Policy pol) |
| { |
| return (boost::math::detail::cyl_neumann_imp<T>(v-1, x, tag, pol) - boost::math::detail::cyl_neumann_imp<T>(v+1, x, tag, pol)) / 2; |
| } |
| |
| template <class T, class Policy> |
| inline T bessel_y_derivative_linear(T v, T x, const bessel_int_tag& tag, Policy pol) |
| { |
| return (boost::math::detail::cyl_neumann_imp<T>(itrunc(v-1), x, tag, pol) - boost::math::detail::cyl_neumann_imp<T>(itrunc(v+1), x, tag, pol)) / 2; |
| } |
| |
| template <class T, class Policy> |
| inline T sph_neumann_derivative_linear(unsigned v, T x, Policy pol) |
| { |
| return (v / x) * boost::math::detail::sph_neumann_imp<T>(v, x, pol) - boost::math::detail::sph_neumann_imp<T>(v+1, x, pol); |
| } |
| |
| }}} // namespaces |
| |
| #endif // BOOST_MATH_SF_DETAIL_BESSEL_DERIVATIVES_LINEAR_HPP |
