// (C) Copyright John Maddock 2005. | |
// Use, modification and distribution are subject to 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) | |
#ifndef BOOST_TR1_COMPLEX_HPP_INCLUDED | |
# define BOOST_TR1_COMPLEX_HPP_INCLUDED | |
# include <boost/tr1/detail/config.hpp> | |
# include <complex> | |
#ifndef BOOST_HAS_TR1_COMPLEX_INVERSE_TRIG | |
#include <boost/math/complex.hpp> | |
namespace std { | |
namespace tr1 { | |
using boost::math::acos; | |
using boost::math::asin; | |
using boost::math::atan; | |
using boost::math::acosh; | |
using boost::math::asinh; | |
using boost::math::atanh; | |
using boost::math::fabs; | |
} } | |
#else | |
# if defined(BOOST_HAS_INCLUDE_NEXT) && !defined(BOOST_TR1_DISABLE_INCLUDE_NEXT) | |
# include_next BOOST_TR1_HEADER(complex) | |
# else | |
# include <boost/tr1/detail/config_all.hpp> | |
# include BOOST_TR1_STD_HEADER(BOOST_TR1_PATH(complex)) | |
# endif | |
#endif | |
#ifndef BOOST_HAS_TR1_COMPLEX_OVERLOADS | |
#include <boost/tr1/detail/math_overloads.hpp> | |
#include <boost/assert.hpp> | |
#include <boost/detail/workaround.hpp> | |
#include <boost/config/no_tr1/cmath.hpp> | |
namespace std{ | |
#ifdef BOOST_NO_STDC_NAMESPACE | |
using :: atan2; | |
#endif | |
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING | |
template <class T> | |
inline BOOST_TR1_MATH_RETURN(double) arg(const T& t) | |
{ | |
return ::std::atan2(0.0, static_cast<double>(t)); | |
} | |
#else | |
inline double arg(const double& t) | |
{ | |
return ::std::atan2(0.0, t); | |
} | |
#endif | |
inline long double arg(const long double& t) | |
{ | |
return ::std::atan2(0.0L, static_cast<long double>(t)); | |
} | |
inline float arg(const float& t) | |
{ | |
return ::std::atan2(0.0F, static_cast<float>(t)); | |
} | |
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING | |
template <class T> | |
inline BOOST_TR1_MATH_RETURN(double) norm(const T& t) | |
{ | |
double r = static_cast<double>(t); | |
return r*r; | |
} | |
#else | |
inline double norm(const double& t) | |
{ | |
return t*t; | |
} | |
#endif | |
inline long double norm(const long double& t) | |
{ | |
long double l = t; | |
return l*l; | |
} | |
inline float norm(const float& t) | |
{ | |
float f = t; | |
return f*f; | |
} | |
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING | |
template <class T> | |
inline BOOST_TR1_MATH_RETURN(std::complex<double>) conj(const T& t) | |
{ | |
return ::std::conj(std::complex<double>(static_cast<double>(t))); | |
} | |
#else | |
inline std::complex<double> conj(const double& t) | |
{ | |
return ::std::conj(std::complex<double>(t)); | |
} | |
#endif | |
inline std::complex<long double> conj(const long double& t) | |
{ | |
return ::std::conj(std::complex<long double>(t)); | |
} | |
inline std::complex<float> conj(const float& t) | |
{ | |
std::complex<float> ct(t); | |
ct = ::std::conj(ct); | |
return ct; | |
} | |
#if !BOOST_WORKAROUND(__BORLANDC__, <=0x570) && !BOOST_WORKAROUND(BOOST_MSVC, < 1310) | |
inline complex<double> polar(const char& rho, const char& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const unsigned char& rho, const unsigned char& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const signed char& rho, const signed char& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const short& rho, const short& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const unsigned short& rho, const unsigned short& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const int& rho, const int& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const unsigned int& rho, const unsigned int& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const long& rho, const long& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const unsigned long& rho, const unsigned long& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
#ifdef BOOST_HAS_LONG_LONG | |
inline complex<double> polar(const long long& rho, const long long& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const unsigned long long& rho, const unsigned long long& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
#elif defined(BOOST_HAS_MS_INT64) | |
inline complex<double> polar(const __int64& rho, const __int64& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
inline complex<double> polar(const unsigned __int64& rho, const unsigned __int64& theta = 0) | |
{ return ::std::polar(static_cast<double>(rho), static_cast<double>(theta)); } | |
#endif | |
template<class T, class U> | |
inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type> | |
polar(const T& rho, const U& theta) | |
{ | |
typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type; | |
return std::polar(static_cast<real_type>(rho), static_cast<real_type>(theta)); | |
} | |
#endif | |
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING | |
template <class T> | |
inline BOOST_TR1_MATH_RETURN(double) imag(const T& ) | |
{ | |
return 0; | |
} | |
#else | |
inline double imag(const double& ) | |
{ | |
return 0; | |
} | |
#endif | |
inline long double imag(const long double& ) | |
{ | |
return 0; | |
} | |
inline float imag(const float& ) | |
{ | |
return 0; | |
} | |
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING | |
template <class T> | |
inline BOOST_TR1_MATH_RETURN(double) real(const T& t) | |
{ | |
return static_cast<double>(t); | |
} | |
#else | |
inline double real(const double& t) | |
{ | |
return t; | |
} | |
#endif | |
inline long double real(const long double& t) | |
{ | |
return t; | |
} | |
inline float real(const float& t) | |
{ | |
return t; | |
} | |
template<class T, class U> | |
inline complex<typename boost::tr1_detail::largest_real<T, U>::type> | |
pow(const complex<T>& x, const complex<U>& y) | |
{ | |
typedef complex<typename boost::tr1_detail::largest_real<T, U>::type> result_type; | |
typedef typename boost::mpl::if_<boost::is_same<result_type, complex<T> >, result_type const&, result_type>::type cast1_type; | |
typedef typename boost::mpl::if_<boost::is_same<result_type, complex<U> >, result_type const&, result_type>::type cast2_type; | |
cast1_type x1(x); | |
cast2_type y1(y); | |
return std::pow(x1, y1); | |
} | |
template<class T, class U> | |
inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type> | |
pow (const complex<T>& x, const U& y) | |
{ | |
typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type; | |
typedef complex<typename boost::tr1_detail::promote_to_real<T, U>::type> result_type; | |
typedef typename boost::mpl::if_<boost::is_same<result_type, complex<T> >, result_type const&, result_type>::type cast1_type; | |
real_type r = y; | |
cast1_type x1(x); | |
std::complex<real_type> y1(r); | |
return std::pow(x1, y1); | |
} | |
template<class T, class U> | |
inline complex<typename boost::tr1_detail::promote_to_real<T, U>::type> | |
pow (const T& x, const complex<U>& y) | |
{ | |
typedef typename boost::tr1_detail::promote_to_real<T, U>::type real_type; | |
typedef complex<typename boost::tr1_detail::promote_to_real<T, U>::type> result_type; | |
typedef typename boost::mpl::if_<boost::is_same<result_type, complex<U> >, result_type const&, result_type>::type cast_type; | |
real_type r = x; | |
std::complex<real_type> x1(r); | |
cast_type y1(y); | |
return std::pow(x1, y1); | |
} | |
} | |
#endif | |
#endif | |