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Ruta de la carpeta: \\game3dprogramming\materials\GameFactory\GameFactoryDemo\references\boost_1_35_0\boost\math\special_functions\atanh.hpp
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// boost atanh.hpp header file // (C) Copyright Hubert Holin 2001. // Distributed under 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) // See http://www.boost.org for updates, documentation, and revision history. #ifndef BOOST_ATANH_HPP #define BOOST_ATANH_HPP #include
#include
#include
#include
#include
// This is the inverse of the hyperbolic tangent function. namespace boost { namespace math { namespace detail { #if defined(__GNUC__) && (__GNUC__ < 3) // gcc 2.x ignores function scope using declarations, // put them in the scope of the enclosing namespace instead: using ::std::abs; using ::std::sqrt; using ::std::log; using ::std::numeric_limits; #endif // This is the main fare template
inline T atanh_imp(const T x, const Policy& pol) { using ::std::abs; using ::std::sqrt; using ::std::log; using ::std::numeric_limits; T const one = static_cast
(1); T const two = static_cast
(2); static T const taylor_2_bound = sqrt(tools::epsilon
()); static T const taylor_n_bound = sqrt(taylor_2_bound); static const char* function = "boost::math::atanh<%1%>(%1%)"; if (x < -one) { return policies::raise_domain_error
( function, "atanh requires x >= -1, but got x = %1%.", x, pol); } else if (x < -one + tools::epsilon
()) { // -Infinity: return -policies::raise_overflow_error
(function, 0, pol); } else if (x > one - tools::epsilon
()) { // Infinity: return -policies::raise_overflow_error
(function, 0, pol); } else if (x > +one) { return policies::raise_domain_error
( function, "atanh requires x <= 1, but got x = %1%.", x, pol); } else if (abs(x) >= taylor_n_bound) { return(log( (one + x) / (one - x) ) / two); } else { // approximation by taylor series in x at 0 up to order 2 T result = x; if (abs(x) >= taylor_2_bound) { T x3 = x*x*x; // approximation by taylor series in x at 0 up to order 4 result += x3/static_cast
(3); } return(result); } } } template
inline typename tools::promote_args
::type atanh(const T x, const Policy& pol) { typedef typename tools::promote_args
::type result_type; return detail::atanh_imp( static_cast
(x), pol); } template
inline typename tools::promote_args
::type atanh(const T x) { typedef typename tools::promote_args
::type result_type; return detail::atanh_imp( static_cast
(x), policies::policy<>()); } } } #endif /* BOOST_ATANH_HPP */
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