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// (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_TR1_COMPLEX_HPP_INCLUDED
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# define BOOST_TR1_COMPLEX_HPP_INCLUDED
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# include <boost/tr1/detail/config.hpp>
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# include <complex>
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#ifndef BOOST_HAS_TR1_COMPLEX_OVERLOADS
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#include <boost/tr1/detail/math_overloads.hpp>
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#include <boost/assert.hpp>
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#include <boost/detail/workaround.hpp>
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#include <cmath>
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namespace std{
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#ifdef BOOST_NO_STDC_NAMESPACE
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using :: atan2;
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#endif
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#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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template <class T>
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inline BOOST_TR1_MATH_RETURN(double) arg(const T& t)
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{
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return ::std::atan2(0.0, static_cast<double>(t));
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}
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#else
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inline double arg(const double& t)
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{
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return ::std::atan2(0.0, t);
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}
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#endif
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inline long double arg(const long double& t)
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{
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return ::std::atan2(0.0L, static_cast<long double>(t));
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}
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inline float arg(const float& t)
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{
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return ::std::atan2(0.0F, static_cast<float>(t));
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}
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#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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template <class T>
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inline BOOST_TR1_MATH_RETURN(double) norm(const T& t)
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{
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double r = static_cast<double>(t);
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return r*r;
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}
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#else
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inline double norm(const double& t)
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{
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return t*t;
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}
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#endif
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inline long double norm(const long double& t)
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{
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long double l = t;
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return l*l;
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}
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inline float norm(const float& t)
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{
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float f = t;
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return f*f;
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}
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#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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template <class T>
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inline BOOST_TR1_MATH_RETURN(std::complex<double>) conj(const T& t)
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{
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return ::std::conj(std::complex<double>(static_cast<double>(t)));
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}
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#else
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inline std::complex<double> conj(const double& t)
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{
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return ::std::conj(std::complex<double>(t));
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}
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#endif
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inline std::complex<long double> conj(const long double& t)
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{
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return ::std::conj(std::complex<long double>(t));
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}
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inline std::complex<float> conj(const float& t)
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{
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std::complex<float> ct(t);
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ct = ::std::conj(ct);
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return ct;
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}
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#if !BOOST_WORKAROUND(__BORLANDC__, <=0x570) && !BOOST_WORKAROUND(BOOST_MSVC, < 1310)
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inline complex<double> polar(const char& rho, const char& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const unsigned char& rho, const unsigned char& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const signed char& rho, const signed char& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const short& rho, const short& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const unsigned short& rho, const unsigned short& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const int& rho, const int& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const unsigned int& rho, const unsigned int& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const long& rho, const long& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const unsigned long& rho, const unsigned long& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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#ifdef BOOST_HAS_LONG_LONG
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inline complex<double> polar(const long long& rho, const long long& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const unsigned long long& rho, const unsigned long long& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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#elif defined(BOOST_HAS_MS_INT64)
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inline complex<double> polar(const __int64& rho, const __int64& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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inline complex<double> polar(const unsigned __int64& rho, const unsigned __int64& theta = 0)
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{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); }
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#endif
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template<class T, class U>
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inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type>
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polar(const T& rho, const U& theta)
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{
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typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type;
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return std::polar(static_cast<real_type>(rho), static_cast<real_type>(theta));
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}
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#endif
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#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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template <class T>
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inline BOOST_TR1_MATH_RETURN(double) imag(const T& )
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{
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return 0;
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}
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#else
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inline double imag(const double& )
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{
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return 0;
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}
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#endif
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inline long double imag(const long double& )
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{
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return 0;
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}
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inline float imag(const float& )
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{
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return 0;
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}
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#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
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template <class T>
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inline BOOST_TR1_MATH_RETURN(double) real(const T& t)
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{
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return static_cast<double>(t);
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}
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#else
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inline double real(const double& t)
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{
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return t;
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}
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#endif
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inline long double real(const long double& t)
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{
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return t;
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}
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inline float real(const float& t)
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{
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return t;
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}
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template<class T, class U>
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inline complex<typename boost::tr1_detail::largest_real<T, U>::type>
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pow(const complex<T>& x, const complex<U>& y)
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{
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typedef complex<typename boost::tr1_detail::largest_real<T, U>::type> result_type;
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typedef typename boost::mpl::if_<boost::is_same<result_type, complex<T> >, result_type const&, result_type>::type cast1_type;
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typedef typename boost::mpl::if_<boost::is_same<result_type, complex<U> >, result_type const&, result_type>::type cast2_type;
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cast1_type x1(x);
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cast2_type y1(y);
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return std::pow(x1, y1);
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}
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template<class T, class U>
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inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type>
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pow (const complex<T>& x, const U& y)
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{
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typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type;
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typedef complex<typename boost::tr1_detail::promote_to_real<T, U>::type> result_type;
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typedef typename boost::mpl::if_<boost::is_same<result_type, complex<T> >, result_type const&, result_type>::type cast1_type;
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real_type r = y;
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cast1_type x1(x);
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std::complex<real_type> y1(r);
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return std::pow(x1, y1);
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}
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template<class T, class U>
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inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type>
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pow (const T& x, const complex<U>& y)
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{
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typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type;
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typedef complex<typename boost::tr1_detail::promote_to_real<T, U>::type> result_type;
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typedef typename boost::mpl::if_<boost::is_same<result_type, complex<U> >, result_type const&, result_type>::type cast_type;
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real_type r = x;
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std::complex<real_type> x1(r);
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cast_type y1(y);
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return std::pow(x1, y1);
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}
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}
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#endif
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#ifndef BOOST_HAS_TR1_COMPLEX_INVERSE_TRIG
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#include <boost/math/complex.hpp>
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namespace std {
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namespace tr1 {
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using boost::math::acos;
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using boost::math::asin;
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using boost::math::atan;
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using boost::math::acosh;
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using boost::math::asinh;
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using boost::math::atanh;
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using boost::math::fabs;
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} }
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#else
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# ifdef BOOST_HAS_INCLUDE_NEXT
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# include_next BOOST_TR1_HEADER(complex)
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# else
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# include BOOST_TR1_STD_HEADER(BOOST_TR1_PATH(complex))
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# endif
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#endif
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#endif
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