88 lines
3.4 KiB
Plaintext
88 lines
3.4 KiB
Plaintext
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// Copyright (c) 2013 Anton Bikineev
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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//
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// This is a partial header, do not include on it's own!!!
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//
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// Linear combination for bessel derivatives are defined here
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#ifndef BOOST_MATH_SF_DETAIL_BESSEL_DERIVATIVES_LINEAR_HPP
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#define BOOST_MATH_SF_DETAIL_BESSEL_DERIVATIVES_LINEAR_HPP
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#ifdef _MSC_VER
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#pragma once
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#endif
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namespace boost{ namespace math{ namespace detail{
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template <class T, class Tag, class Policy>
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inline T bessel_j_derivative_linear(T v, T x, Tag tag, Policy pol)
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{
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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;
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}
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template <class T, class Policy>
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inline T bessel_j_derivative_linear(T v, T x, const bessel_int_tag& tag, Policy pol)
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{
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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;
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}
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template <class T, class Policy>
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inline T sph_bessel_j_derivative_linear(unsigned v, T x, Policy pol)
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{
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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);
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}
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template <class T, class Policy>
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inline T bessel_i_derivative_linear(T v, T x, Policy pol)
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{
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T result = boost::math::detail::cyl_bessel_i_imp<T>(v - 1, x, pol);
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if(result >= tools::max_value<T>())
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return result; // result is infinite
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T result2 = boost::math::detail::cyl_bessel_i_imp<T>(v + 1, x, pol);
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if(result2 >= tools::max_value<T>() - result)
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return result2; // result is infinite
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return (result + result2) / 2;
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}
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template <class T, class Tag, class Policy>
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inline T bessel_k_derivative_linear(T v, T x, Tag tag, Policy pol)
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{
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T result = boost::math::detail::cyl_bessel_k_imp<T>(v - 1, x, tag, pol);
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if(result >= tools::max_value<T>())
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return -result; // result is infinite
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T result2 = boost::math::detail::cyl_bessel_k_imp<T>(v + 1, x, tag, pol);
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if(result2 >= tools::max_value<T>() - result)
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return -result2; // result is infinite
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return (result + result2) / -2;
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}
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template <class T, class Policy>
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inline T bessel_k_derivative_linear(T v, T x, const bessel_int_tag& tag, Policy pol)
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{
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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;
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}
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template <class T, class Tag, class Policy>
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inline T bessel_y_derivative_linear(T v, T x, Tag tag, Policy pol)
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{
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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;
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}
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template <class T, class Policy>
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inline T bessel_y_derivative_linear(T v, T x, const bessel_int_tag& tag, Policy pol)
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{
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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;
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}
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template <class T, class Policy>
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inline T sph_neumann_derivative_linear(unsigned v, T x, Policy pol)
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{
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return (v / x) * boost::math::detail::sph_neumann_imp<T>(v, x, pol) - boost::math::detail::sph_neumann_imp<T>(v+1, x, pol);
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}
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}}} // namespaces
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#endif // BOOST_MATH_SF_DETAIL_BESSEL_DERIVATIVES_LINEAR_HPP
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