diff -r 2fe1408b6811 -r e1b950c65cb4 epoc32/include/stdapis/boost/math/complex/asinh.hpp --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/epoc32/include/stdapis/boost/math/complex/asinh.hpp Wed Mar 31 12:27:01 2010 +0100 @@ -0,0 +1,101 @@ +// boost asinh.hpp header file + +// (C) Copyright Eric Ford & 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_ASINH_HPP +#define BOOST_ASINH_HPP + + +#include +#include +#include +#include + + +#include + + +// This is the inverse of the hyperbolic sine function. + +namespace boost +{ + namespace math + { +#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 asinh(const T x) + { + 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(numeric_limits::epsilon()); + static T const taylor_n_bound = sqrt(taylor_2_bound); + static T const upper_taylor_2_bound = one/taylor_2_bound; + static T const upper_taylor_n_bound = one/taylor_n_bound; + + if (x >= +taylor_n_bound) + { + if (x > upper_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 + { + // approximation by laurent series in 1/x at 0+ order from -1 to 1 + return( log( x*two + (one/(x*two)) ) ); + } + } + else + { + return( log( x + sqrt(x*x+one) ) ); + } + } + else if (x <= -taylor_n_bound) + { + return(-asinh(-x)); + } + 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(6); + } + + return(result); + } + } + } +} + +#endif /* BOOST_ASINH_HPP */