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Ruta de la carpeta: \\game3dprogramming\materials\GameFactory\GameFactoryDemo\references\boost_1_35_0\boost\math\special_functions\sinhc.hpp
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// boost sinhc.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_SINHC_HPP #define BOOST_SINHC_HPP #include
#include
#include
#include
#include
#include
#include
#include
// These are the the "Hyperbolic Sinus Cardinal" functions. 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::sinh; using ::std::numeric_limits; #endif /* defined(__GNUC__) && (__GNUC__ < 3) */ // This is the "Hyperbolic Sinus Cardinal" of index Pi. template
inline T sinhc_pi_imp(const T x) { #if defined(BOOST_NO_STDC_NAMESPACE) && !defined(__SUNPRO_CC) using ::abs; using ::sinh; using ::sqrt; #else /* BOOST_NO_STDC_NAMESPACE */ using ::std::abs; using ::std::sinh; using ::std::sqrt; #endif /* BOOST_NO_STDC_NAMESPACE */ static T const taylor_0_bound = tools::epsilon
(); static T const taylor_2_bound = sqrt(taylor_0_bound); static T const taylor_n_bound = sqrt(taylor_2_bound); if (abs(x) >= taylor_n_bound) { return(sinh(x)/x); } else { // approximation by taylor series in x at 0 up to order 0 T result = static_cast
(1); if (abs(x) >= taylor_0_bound) { T x2 = x*x; // approximation by taylor series in x at 0 up to order 2 result += x2/static_cast
(6); if (abs(x) >= taylor_2_bound) { // approximation by taylor series in x at 0 up to order 4 result += (x2*x2)/static_cast
(120); } } return(result); } } } // namespace detail template
inline typename tools::promote_args
::type sinhc_pi(T x) { typedef typename tools::promote_args
::type result_type; return detail::sinhc_pi_imp(static_cast
(x)); } template
inline typename tools::promote_args
::type sinhc_pi(T x, const Policy&) { return boost::math::sinhc_pi(x); } #ifdef BOOST_NO_TEMPLATE_TEMPLATES #else /* BOOST_NO_TEMPLATE_TEMPLATES */ template
class U> inline U
sinhc_pi(const U
x) { #if defined(BOOST_FUNCTION_SCOPE_USING_DECLARATION_BREAKS_ADL) || defined(__GNUC__) using namespace std; #elif defined(BOOST_NO_STDC_NAMESPACE) using ::abs; using ::sinh; using ::sqrt; #else /* BOOST_NO_STDC_NAMESPACE */ using ::std::abs; using ::std::sinh; using ::std::sqrt; #endif /* BOOST_NO_STDC_NAMESPACE */ using ::std::numeric_limits; static T const taylor_0_bound = tools::epsilon
(); static T const taylor_2_bound = sqrt(taylor_0_bound); static T const taylor_n_bound = sqrt(taylor_2_bound); if (abs(x) >= taylor_n_bound) { return(sinh(x)/x); } else { // approximation by taylor series in x at 0 up to order 0 #ifdef __MWERKS__ U
result = static_cast
>(1); #else U
result = U
(1); #endif if (abs(x) >= taylor_0_bound) { U
x2 = x*x; // approximation by taylor series in x at 0 up to order 2 result += x2/static_cast
(6); if (abs(x) >= taylor_2_bound) { // approximation by taylor series in x at 0 up to order 4 result += (x2*x2)/static_cast
(120); } } return(result); } } #endif /* BOOST_NO_TEMPLATE_TEMPLATES */ } } #endif /* BOOST_SINHC_HPP */
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