// (C) Copyright John Maddock 2005.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
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#define BOOST_MATH_COMPLEX_DETAILS_INCLUDED
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//
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// This header contains all the support code that is common to the
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// inverse trig complex functions, it also contains all the includes
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// that we need to implement all these functions.
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//
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#include <boost/config.hpp>
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#include <boost/detail/workaround.hpp>
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#include <boost/config/no_tr1/complex.hpp>
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#include <boost/limits.hpp>
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#include <math.h> // isnan where available
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#include <boost/config/no_tr1/cmath.hpp>
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#include <boost/math/special_functions/sign.hpp>
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#include <boost/math/special_functions/fpclassify.hpp>
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#include <boost/math/special_functions/sign.hpp>
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#include <boost/math/constants/constants.hpp>
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#ifdef BOOST_NO_STDC_NAMESPACE
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namespace std{ using ::sqrt; }
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#endif
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namespace boost{ namespace math{ namespace detail{
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template <class T>
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inline T mult_minus_one(const T& t)
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{
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return (boost::math::isnan)(t) ? t : (boost::math::changesign)(t);
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}
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template <class T>
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inline std::complex<T> mult_i(const std::complex<T>& t)
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{
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return std::complex<T>(mult_minus_one(t.imag()), t.real());
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}
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template <class T>
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inline std::complex<T> mult_minus_i(const std::complex<T>& t)
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{
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return std::complex<T>(t.imag(), mult_minus_one(t.real()));
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}
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template <class T>
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inline T safe_max(T t)
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{
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return std::sqrt((std::numeric_limits<T>::max)()) / t;
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}
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inline long double safe_max(long double t)
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{
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// long double sqrt often returns infinity due to
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// insufficient internal precision:
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return std::sqrt((std::numeric_limits<double>::max)()) / t;
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}
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#if BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x564))
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// workaround for type deduction bug:
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inline float safe_max(float t)
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{
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return std::sqrt((std::numeric_limits<float>::max)()) / t;
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}
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inline double safe_max(double t)
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{
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return std::sqrt((std::numeric_limits<double>::max)()) / t;
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}
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#endif
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template <class T>
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inline T safe_min(T t)
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{
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return std::sqrt((std::numeric_limits<T>::min)()) * t;
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}
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inline long double safe_min(long double t)
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{
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// long double sqrt often returns zero due to
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// insufficient internal precision:
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return std::sqrt((std::numeric_limits<double>::min)()) * t;
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}
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#if BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x564))
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// type deduction workaround:
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inline double safe_min(double t)
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{
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return std::sqrt((std::numeric_limits<double>::min)()) * t;
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}
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inline float safe_min(float t)
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{
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return std::sqrt((std::numeric_limits<float>::min)()) * t;
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}
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#endif
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} } } // namespaces
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#endif // BOOST_MATH_COMPLEX_DETAILS_INCLUDED
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