--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/epoc32/include/stdapis/boost/math/complex/acosh.hpp Wed Mar 31 12:27:01 2010 +0100
@@ -0,0 +1,198 @@
+// 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 <cmath>
+#include <limits>
+#include <string>
+#include <stdexcept>
+
+
+#include <boost/config.hpp>
+
+
+// This is the inverse of the hyperbolic cosine 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
+
+#if defined(BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION)
+ // This is the main fare
+
+ template<typename T>
+ inline T acosh(const T x)
+ {
+ using ::std::abs;
+ using ::std::sqrt;
+ using ::std::log;
+
+ using ::std::numeric_limits;
+
+
+ T const one = static_cast<T>(1);
+ T const two = static_cast<T>(2);
+
+ static T const taylor_2_bound = sqrt(numeric_limits<T>::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)
+ {
+ if (numeric_limits<T>::has_quiet_NaN)
+ {
+ return(numeric_limits<T>::quiet_NaN());
+ }
+ else
+ {
+ ::std::string error_reporting("Argument to atanh is strictly greater than +1 or strictly smaller than -1!");
+ ::std::domain_error bad_argument(error_reporting);
+
+ throw(bad_argument);
+ }
+ }
+ 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<T>(12);
+ }
+
+ return(sqrt(static_cast<T>(2))*result);
+ }
+ }
+#else
+ // These are implementation details (for main fare see below)
+
+ namespace detail
+ {
+ template <
+ typename T,
+ bool QuietNanSupported
+ >
+ struct acosh_helper2_t
+ {
+ static T get_NaN()
+ {
+ return(::std::numeric_limits<T>::quiet_NaN());
+ }
+ }; // boost::detail::acosh_helper2_t
+
+
+ template<typename T>
+ struct acosh_helper2_t<T, false>
+ {
+ static T get_NaN()
+ {
+ ::std::string error_reporting("Argument to acosh is greater than or equal to +1!");
+ ::std::domain_error bad_argument(error_reporting);
+
+ throw(bad_argument);
+ }
+ }; // boost::detail::acosh_helper2_t
+
+ } // boost::detail
+
+
+ // This is the main fare
+
+ template<typename T>
+ inline T acosh(const T x)
+ {
+ using ::std::abs;
+ using ::std::sqrt;
+ using ::std::log;
+
+ using ::std::numeric_limits;
+
+ typedef detail::acosh_helper2_t<T, std::numeric_limits<T>::has_quiet_NaN> helper2_type;
+
+
+ T const one = static_cast<T>(1);
+ T const two = static_cast<T>(2);
+
+ static T const taylor_2_bound = sqrt(numeric_limits<T>::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(helper2_type::get_NaN());
+ }
+ 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<T>(12);
+ }
+
+ return(sqrt(static_cast<T>(2))*result);
+ }
+ }
+#endif /* defined(BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION) */
+ }
+}
+
+#endif /* BOOST_ACOSH_HPP */
+
+