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Ruta de la carpeta: \\game3dprogramming\materials\GameFactory\GameFactoryDemo\references\boost_1_35_0\boost\math\special_functions\acosh.hpp
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// boost asinh.hpp header file // (C) Copyright Eric Ford 2001 & Hubert Holin. // 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_ACOSH_HPP #define BOOST_ACOSH_HPP #include
#include
#include
#include
#include
// This is the inverse of the hyperbolic cosine 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 template
inline T acosh_imp(const T x, const Policy& pol) { using ::std::abs; using ::std::sqrt; using ::std::log; 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 T const upper_taylor_2_bound = one/taylor_2_bound; if(x < one) { return policies::raise_domain_error
( "boost::math::acosh<%1%>(%1%)", "acosh requires x >= 1, but got x = %1%.", x, pol); } else if (x >= taylor_n_bound) { if (x > upper_taylor_2_bound) { // approximation by laurent series in 1/x at 0+ order from -1 to 0 return( log( x*two) ); } else { return( log( x + sqrt(x*x-one) ) ); } } else { T y = sqrt(x-one); // approximation by taylor series in y at 0 up to order 2 T result = y; if (y >= taylor_2_bound) { T y3 = y*y*y; // approximation by taylor series in y at 0 up to order 4 result -= y3/static_cast
(12); } return(sqrt(static_cast
(2))*result); } } } template
inline typename tools::promote_args
::type acosh(const T x, const Policy& pol) { typedef typename tools::promote_args
::type result_type; return detail::acosh_imp( static_cast
(x), pol); } template
inline typename tools::promote_args
::type acosh(const T x) { typedef typename tools::promote_args
::type result_type; return detail::acosh_imp( static_cast
(x), policies::policy<>()); } } } #endif /* BOOST_ACOSH_HPP */
acosh.hpp
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