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Ruta de la carpeta: \\game3dprogramming\materials\GameFactory\GameFactoryDemo\references\boost_1_35_0\boost\math\special_functions\detail\bessel_i1.hpp
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// Copyright (c) 2006 Xiaogang Zhang // 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) #ifndef BOOST_MATH_BESSEL_I1_HPP #define BOOST_MATH_BESSEL_I1_HPP #include
#include
// Modified Bessel function of the first kind of order one // minimax rational approximations on intervals, see // Blair and Edwards, Chalk River Report AECL-4928, 1974 namespace boost { namespace math { namespace detail{ template
T bessel_i1(T x) { static const T P1[] = { static_cast
(-1.4577180278143463643e+15L), static_cast
(-1.7732037840791591320e+14L), static_cast
(-6.9876779648010090070e+12L), static_cast
(-1.3357437682275493024e+11L), static_cast
(-1.4828267606612366099e+09L), static_cast
(-1.0588550724769347106e+07L), static_cast
(-5.1894091982308017540e+04L), static_cast
(-1.8225946631657315931e+02L), static_cast
(-4.7207090827310162436e-01L), static_cast
(-9.1746443287817501309e-04L), static_cast
(-1.3466829827635152875e-06L), static_cast
(-1.4831904935994647675e-09L), static_cast
(-1.1928788903603238754e-12L), static_cast
(-6.5245515583151902910e-16L), static_cast
(-1.9705291802535139930e-19L), }; static const T Q1[] = { static_cast
(-2.9154360556286927285e+15L), static_cast
(9.7887501377547640438e+12L), static_cast
(-1.4386907088588283434e+10L), static_cast
(1.1594225856856884006e+07L), static_cast
(-5.1326864679904189920e+03L), static_cast
(1.0L), }; static const T P2[] = { static_cast
(1.4582087408985668208e-05L), static_cast
(-8.9359825138577646443e-04L), static_cast
(2.9204895411257790122e-02L), static_cast
(-3.4198728018058047439e-01L), static_cast
(1.3960118277609544334e+00L), static_cast
(-1.9746376087200685843e+00L), static_cast
(8.5591872901933459000e-01L), static_cast
(-6.0437159056137599999e-02L), }; static const T Q2[] = { static_cast
(3.7510433111922824643e-05L), static_cast
(-2.2835624489492512649e-03L), static_cast
(7.4212010813186530069e-02L), static_cast
(-8.5017476463217924408e-01L), static_cast
(3.2593714889036996297e+00L), static_cast
(-3.8806586721556593450e+00L), static_cast
(1.0L), }; T value, factor, r, w; BOOST_MATH_STD_USING using namespace boost::math::tools; w = abs(x); if (x == 0) { return static_cast
(0); } if (w <= 15) // w in (0, 15] { T y = x * x; r = evaluate_polynomial(P1, y) / evaluate_polynomial(Q1, y); factor = w; value = factor * r; } else // w in (15, \infty) { T y = 1 / w - T(1) / 15; r = evaluate_polynomial(P2, y) / evaluate_polynomial(Q2, y); factor = exp(w) / sqrt(w); value = factor * r; } if (x < 0) { value *= -value; // odd function } return value; } }}} // namespaces #endif // BOOST_MATH_BESSEL_I1_HPP
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