sl@0: //  (C) Copyright John Maddock 2005.
sl@0: //  Use, modification and distribution are subject to the
sl@0: //  Boost Software License, Version 1.0. (See accompanying file
sl@0: //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
sl@0: 
sl@0: #ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
sl@0: #define BOOST_MATH_COMPLEX_DETAILS_INCLUDED
sl@0: //
sl@0: // This header contains all the support code that is common to the
sl@0: // inverse trig complex functions, it also contains all the includes
sl@0: // that we need to implement all these functions.
sl@0: //
sl@0: #include <boost/detail/workaround.hpp>
sl@0: #include <boost/config.hpp>
sl@0: #include <boost/config/no_tr1/complex.hpp>
sl@0: #include <boost/limits.hpp>
sl@0: #include <math.h> // isnan where available
sl@0: #include <cmath>
sl@0: 
sl@0: #ifdef BOOST_NO_STDC_NAMESPACE
sl@0: namespace std{ using ::sqrt; }
sl@0: #endif
sl@0: 
sl@0: namespace boost{ namespace math{ namespace detail{
sl@0: 
sl@0: template <class T>
sl@0: inline bool test_is_nan(T t)
sl@0: {
sl@0:    // Comparisons with Nan's always fail:
sl@0:    return std::numeric_limits<T>::has_infinity && (!(t <= std::numeric_limits<T>::infinity()) || !(t >= -std::numeric_limits<T>::infinity()));
sl@0: }
sl@0: #ifdef isnan
sl@0: template<> inline bool test_is_nan<float>(float t) { return isnan(t); }
sl@0: template<> inline bool test_is_nan<double>(double t) { return isnan(t); }
sl@0: template<> inline bool test_is_nan<long double>(long double t) { return isnan(t); }
sl@0: #endif
sl@0: 
sl@0: template <class T>
sl@0: inline T mult_minus_one(const T& t)
sl@0: {
sl@0:    return test_is_nan(t) ? t : -t;
sl@0: }
sl@0: 
sl@0: template <class T>
sl@0: inline std::complex<T> mult_i(const std::complex<T>& t)
sl@0: {
sl@0:    return std::complex<T>(mult_minus_one(t.imag()), t.real());
sl@0: }
sl@0: 
sl@0: template <class T>
sl@0: inline std::complex<T> mult_minus_i(const std::complex<T>& t)
sl@0: {
sl@0:    return std::complex<T>(t.imag(), mult_minus_one(t.real()));
sl@0: }
sl@0: 
sl@0: template <class T>
sl@0: inline T safe_max(T t)
sl@0: {
sl@0:    return std::sqrt((std::numeric_limits<T>::max)()) / t;
sl@0: }
sl@0: inline long double safe_max(long double t)
sl@0: {
sl@0:    // long double sqrt often returns infinity due to
sl@0:    // insufficient internal precision:
sl@0:    return std::sqrt((std::numeric_limits<double>::max)()) / t;
sl@0: }
sl@0: #if BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x564))
sl@0: // workaround for type deduction bug:
sl@0: inline float safe_max(float t)
sl@0: {
sl@0:    return std::sqrt((std::numeric_limits<float>::max)()) / t;
sl@0: }
sl@0: inline double safe_max(double t)
sl@0: {
sl@0:    return std::sqrt((std::numeric_limits<double>::max)()) / t;
sl@0: }
sl@0: #endif
sl@0: template <class T>
sl@0: inline T safe_min(T t)
sl@0: {
sl@0:    return std::sqrt((std::numeric_limits<T>::min)()) * t;
sl@0: }
sl@0: inline long double safe_min(long double t)
sl@0: {
sl@0:    // long double sqrt often returns zero due to
sl@0:    // insufficient internal precision:
sl@0:    return std::sqrt((std::numeric_limits<double>::min)()) * t;
sl@0: }
sl@0: #if BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x564))
sl@0: // type deduction workaround:
sl@0: inline double safe_min(double t)
sl@0: {
sl@0:    return std::sqrt((std::numeric_limits<double>::min)()) * t;
sl@0: }
sl@0: inline float safe_min(float t)
sl@0: {
sl@0:    return std::sqrt((std::numeric_limits<float>::min)()) * t;
sl@0: }
sl@0: #endif
sl@0: 
sl@0: } } } // namespaces
sl@0: 
sl@0: #endif // BOOST_MATH_COMPLEX_DETAILS_INCLUDED
sl@0: