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- // 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)
- {
- T result = boost::math::detail::cyl_bessel_i_imp<T>(v - 1, x, pol);
- if(result >= tools::max_value<T>())
- return result; // result is infinite
- T result2 = boost::math::detail::cyl_bessel_i_imp<T>(v + 1, x, pol);
- if(result2 >= tools::max_value<T>() - result)
- return result2; // result is infinite
- return (result + result2) / 2;
- }
- template <class T, class Tag, class Policy>
- inline T bessel_k_derivative_linear(T v, T x, Tag tag, Policy pol)
- {
- T result = boost::math::detail::cyl_bessel_k_imp<T>(v - 1, x, tag, pol);
- if(result >= tools::max_value<T>())
- return -result; // result is infinite
- T result2 = boost::math::detail::cyl_bessel_k_imp<T>(v + 1, x, tag, pol);
- if(result2 >= tools::max_value<T>() - result)
- return -result2; // result is infinite
- return (result + result2) / -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
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