1 // (C) Copyright John Maddock 2005.
2 // Use, modification and distribution are subject to the
3 // Boost Software License, Version 1.0. (See accompanying file
4 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
6 #ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
7 #define BOOST_MATH_COMPLEX_DETAILS_INCLUDED
9 // This header contains all the support code that is common to the
10 // inverse trig complex functions, it also contains all the includes
11 // that we need to implement all these functions.
17 #include <boost/math/special_functions/sign.hpp>
18 #include <boost/math/special_functions/fpclassify.hpp>
19 #include <boost/math/special_functions/sign.hpp>
20 #include <boost/math/constants/constants.hpp>
22 namespace boost{ namespace math{ namespace detail{
25 inline T mult_minus_one(const T& t)
27 return (boost::math::isnan)(t) ? t : (boost::math::changesign)(t);
31 inline std::complex<T> mult_i(const std::complex<T>& t)
33 return std::complex<T>(mult_minus_one(t.imag()), t.real());
37 inline std::complex<T> mult_minus_i(const std::complex<T>& t)
39 return std::complex<T>(t.imag(), mult_minus_one(t.real()));
43 inline T safe_max(T t)
45 return std::sqrt((std::numeric_limits<T>::max)()) / t;
47 inline long double safe_max(long double t)
49 // long double sqrt often returns infinity due to
50 // insufficient internal precision:
51 return std::sqrt((std::numeric_limits<double>::max)()) / t;
55 inline T safe_min(T t)
57 return std::sqrt((std::numeric_limits<T>::min)()) * t;
59 inline long double safe_min(long double t)
61 // long double sqrt often returns zero due to
62 // insufficient internal precision:
63 return std::sqrt((std::numeric_limits<double>::min)()) * t;
68 #endif // BOOST_MATH_COMPLEX_DETAILS_INCLUDED