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Diffstat (limited to 'libstdc++-v3/include/bits/std_complex.h')
| -rw-r--r-- | libstdc++-v3/include/bits/std_complex.h | 961 |
1 files changed, 961 insertions, 0 deletions
diff --git a/libstdc++-v3/include/bits/std_complex.h b/libstdc++-v3/include/bits/std_complex.h new file mode 100644 index 00000000000..63f735181da --- /dev/null +++ b/libstdc++-v3/include/bits/std_complex.h @@ -0,0 +1,961 @@ +// The template and inlines for the -*- C++ -*- complex number classes. + +// Copyright (C) 1997-1999, 2000 Free Software Foundation, Inc. +// +// This file is part of the GNU ISO C++ Library. This library is free +// software; you can redistribute it and/or modify it under the +// terms of the GNU General Public License as published by the +// Free Software Foundation; either version 2, or (at your option) +// any later version. + +// This library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. + +// You should have received a copy of the GNU General Public License along +// with this library; see the file COPYING. If not, write to the Free +// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, +// USA. + +// As a special exception, you may use this file as part of a free software +// library without restriction. Specifically, if other files instantiate +// templates or use macros or inline functions from this file, or you compile +// this file and link it with other files to produce an executable, this +// file does not by itself cause the resulting executable to be covered by +// the GNU General Public License. This exception does not however +// invalidate any other reasons why the executable file might be covered by +// the GNU General Public License. + +// +// ISO 14882/26.2.1 +// Note: this is not a conforming implementation. +// Initially implemented by Ulrich Drepper <drepper@cygnus.com> +// Improved by Gabriel Dos Reis <dosreis@cmla.ens-cachan.fr> +// + +#ifndef _CPP_COMPLEX +#define _CPP_COMPLEX 1 + +#include <bits/c++config.h> +#include <bits/std_iosfwd.h> + +namespace std +{ + + // Forward declarations + template<typename _Tp> class complex; + template<> class complex<float>; + template<> class complex<double>; + template<> class complex<long double>; + + template<typename _Tp> _Tp abs(const complex<_Tp>&); + template<typename _Tp> _Tp arg(const complex<_Tp>&); + + template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> polar(const _Tp&, const _Tp&); + + // Transcendentals: + template<typename _Tp> complex<_Tp> cos(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> cosh(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> exp(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> log(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int); + template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const _Tp&); + template<typename _Tp> complex<_Tp> pow (const complex<_Tp>&, + const complex<_Tp>&); + template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&); + template<typename _Tp> complex<_Tp> sin(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> sinh(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> sqrt(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&); + template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&); + + + // + // 26.2.2 Primary template class complex + // + template <typename _Tp> + class complex + { + public: + typedef _Tp value_type; + + complex(const _Tp& = _Tp(), const _Tp & = _Tp()); + + // Let's the compiler synthetize the copy constructor + // complex (const complex<_Tp>&); + template <typename _Up> + complex(const complex<_Up>&); + + _Tp real() const; + _Tp imag() const; + + complex<_Tp>& operator=(const _Tp&); + complex<_Tp>& operator+=(const _Tp&); + complex<_Tp>& operator-=(const _Tp&); + complex<_Tp>& operator*=(const _Tp&); + complex<_Tp>& operator/=(const _Tp&); + + // Let's the compiler synthetize the + // copy and assignment operator + // complex<_Tp>& operator= (const complex<_Tp>&); + template <typename _Up> + complex<_Tp>& operator=(const complex<_Up>&); + template <typename _Up> + complex<_Tp>& operator+=(const complex<_Up>&); + template <typename _Up> + complex<_Tp>& operator-=(const complex<_Up>&); + template <typename _Up> + complex<_Tp>& operator*=(const complex<_Up>&); + template <typename _Up> + complex<_Tp>& operator/=(const complex<_Up>&); + + private: + _Tp _M_real, _M_imag; + }; + + template<typename _Tp> + inline _Tp + complex<_Tp>::real() const { return _M_real; } + + template<typename _Tp> + inline _Tp + complex<_Tp>::imag() const { return _M_imag; } + + + // + // 26.2.3 complex specializations + // + + // + // complex<float> specialization + // + template<> class complex<float> + { + public: + typedef float value_type; + + complex(float = 0.0f, float = 0.0f); +#ifdef _GLIBCPP_BUGGY_COMPLEX + complex(const complex& __z) : _M_value(__z._M_value) { } +#endif + explicit complex(const complex<double>&); + explicit complex(const complex<long double>&); + + float real() const; + float imag() const; + + complex<float>& operator=(float); + complex<float>& operator+=(float); + complex<float>& operator-=(float); + complex<float>& operator*=(float); + complex<float>& operator/=(float); + + // Let's the compiler synthetize the copy and assignment + // operator. It always does a pretty good job. + // complex& operator= (const complex&); + template <typename _Tp> + complex<float>&operator=(const complex<_Tp>&); + template <typename _Tp> + complex<float>& operator+=(const complex<_Tp>&); + template <class _Tp> + complex<float>& operator-=(const complex<_Tp>&); + template <class _Tp> + complex<float>& operator*=(const complex<_Tp>&); + template <class _Tp> + complex<float>&operator/=(const complex<_Tp>&); + + private: + typedef __complex__ float _ComplexT; + _ComplexT _M_value; + + complex(_ComplexT __z) : _M_value(__z) { } + + friend class complex<double>; + friend class complex<long double>; + + friend float abs<>(const complex<float>&); + friend float arg<>(const complex<float>&); + + friend complex<float> conj<>(const complex<float>&); + + friend complex<float> cos<>(const complex<float>&); + friend complex<float> cosh<>(const complex<float>&); + friend complex<float> exp<>(const complex<float>&); + friend complex<float> log<>(const complex<float>&); + friend complex<float> log10<>(const complex<float>&); + friend complex<float> pow<>(const complex<float>&, int); + friend complex<float> pow<>(const complex<float>&, const float&); + friend complex<float> pow<>(const complex<float>&, + const complex<float>&); + friend complex<float> pow<>(const float&, const complex<float>&); + friend complex<float> sin<>(const complex<float>&); + friend complex<float> sinh<>(const complex<float>&); + friend complex<float> sqrt<>(const complex<float>&); + friend complex<float> tan<>(const complex<float>&); + friend complex<float> tanh<>(const complex<float>&); + }; + + inline float + complex<float>::real() const + { return __real__ _M_value; } + + inline float + complex<float>::imag() const + { return __imag__ _M_value; } + + + // + // complex<double> specialization + // + template<> class complex<double> + { + public: + typedef double value_type; + + complex(double =0.0, double =0.0); +#ifdef _GLIBCPP_BUGGY_COMPLEX + complex(const complex& __z) : _M_value(__z._M_value) { } +#endif + complex(const complex<float>&); + explicit complex(const complex<long double>&); + + double real() const; + double imag() const; + + complex<double>& operator=(double); + complex<double>& operator+=(double); + complex<double>& operator-=(double); + complex<double>& operator*=(double); + complex<double>& operator/=(double); + + // The compiler will synthetize this, efficiently. + // complex& operator= (const complex&); + template <typename _Tp> + complex<double>& operator=(const complex<_Tp>&); + template <typename _Tp> + complex<double>& operator+=(const complex<_Tp>&); + template <typename _Tp> + complex<double>& operator-=(const complex<_Tp>&); + template <typename _Tp> + complex<double>& operator*=(const complex<_Tp>&); + template <typename _Tp> + complex<double>& operator/=(const complex<_Tp>&); + + private: + typedef __complex__ double _ComplexT; + _ComplexT _M_value; + + complex(_ComplexT __z) : _M_value(__z) { } + + friend class complex<float>; + friend class complex<long double>; + + friend double abs<>(const complex<double>&); + friend double arg<>(const complex<double>&); + + friend complex<double> conj<>(const complex<double>&); + friend complex<double> cos<>(const complex<double>&); + friend complex<double> cosh<>(const complex<double>&); + friend complex<double> exp<>(const complex<double>&); + friend complex<double> log<>(const complex<double>&); + friend complex<double> log10<>(const complex<double>&); + friend complex<double> pow<>(const complex<double>&, int); + friend complex<double> pow<>(const complex<double>&, const double&); + friend complex<double> pow<>(const complex<double>&, + const complex<double>&); + friend complex<double> pow<>(const double&, const complex<double>&); + friend complex<double> sin<>(const complex<double>&); + friend complex<double> sinh<>(const complex<double>&); + friend complex<double> sqrt<>(const complex<double>&); + friend complex<double> tan<>(const complex<double>&); + friend complex<double> tanh<>(const complex<double>&); + }; + + inline double + complex<double>::real() const + { return __real__ _M_value; } + + inline double + complex<double>::imag() const + { return __imag__ _M_value; } + + + // + // complex<long double> specialization + // + template<> class complex<long double> + { + public: + typedef long double value_type; + + complex(long double = 0.0L, long double = 0.0L); +#ifdef _GLIBCPP_BUGGY_COMPLEX + complex(const complex& __z) : _M_value(__z._M_value) { } +#endif + complex(const complex<float>&); + complex(const complex<double>&); + + long double real() const; + long double imag() const; + + complex<long double>& operator= (long double); + complex<long double>& operator+= (long double); + complex<long double>& operator-= (long double); + complex<long double>& operator*= (long double); + complex<long double>& operator/= (long double); + + // The compiler knows how to do this efficiently + // complex& operator= (const complex&); + + template<typename _Tp> + complex<long double>& operator=(const complex<_Tp>&); + template<typename _Tp> + complex<long double>& operator+=(const complex<_Tp>&); + template<typename _Tp> + complex<long double>& operator-=(const complex<_Tp>&); + template<typename _Tp> + complex<long double>& operator*=(const complex<_Tp>&); + template<typename _Tp> + complex<long double>& operator/=(const complex<_Tp>&); + + private: + typedef __complex__ long double _ComplexT; + _ComplexT _M_value; + + complex(_ComplexT __z) : _M_value(__z) { } + + friend class complex<float>; + friend class complex<double>; + + friend long double abs<>(const complex<long double>&); + friend long double arg<>(const complex<long double>&); + + friend complex<long double> conj<>(const complex<long double>&); + friend complex<long double> cos<>(const complex<long double>&); + friend complex<long double> cosh<>(const complex<long double>&); + friend complex<long double> exp<>(const complex<long double>&); + friend complex<long double> log<>(const complex<long double>&); + friend complex<long double> log10<>(const complex<long double>&); + friend complex<long double> pow<>(const complex<long double>&, int); + friend complex<long double> pow<>(const complex<long double>&, + const long double&); + friend complex<long double> pow<>(const complex<long double>&, + const complex<long double>&); + friend complex<long double> pow<>(const long double&, + const complex<long double>&); + friend complex<long double> sin<>(const complex<long double>&); + friend complex<long double> sinh<>(const complex<long double>&); + friend complex<long double> sqrt<>(const complex<long double>&); + friend complex<long double> tan<>(const complex<long double>&); + friend complex<long double> tanh<>(const complex<long double>&); + }; + + inline + complex<long double>::complex(long double __r, long double __i) + { + __real__ _M_value = __r; + __imag__ _M_value = __i; + } + + inline + complex<long double>::complex(const complex<float>& __z) + : _M_value(_ComplexT(__z._M_value)) { } + + inline + complex<long double>::complex(const complex<double>& __z) + : _M_value(_ComplexT(__z._M_value)) { } + + inline long double + complex<long double>::real() const + { return __real__ _M_value; } + + inline long double + complex<long double>::imag() const + { return __imag__ _M_value; } + + inline complex<long double>& + complex<long double>::operator=(long double __r) + { + __real__ _M_value = __r; + __imag__ _M_value = 0.0L; + return *this; + } + + inline complex<long double>& + complex<long double>::operator+=(long double __r) + { + __real__ _M_value += __r; + return *this; + } + + inline complex<long double>& + complex<long double>::operator-=(long double __r) + { + __real__ _M_value -= __r; + return *this; + } + + inline complex<long double>& + complex<long double>::operator*=(long double __r) + { + __real__ _M_value *= __r; + return *this; + } + + inline complex<long double>& + complex<long double>::operator/=(long double __r) + { + __real__ _M_value /= __r; + return *this; + } + + template<typename _Tp> + inline complex<long double>& + complex<long double>::operator=(const complex<_Tp>& __z) + { + __real__ _M_value = __z.real(); + __imag__ _M_value = __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<long double>& + complex<long double>::operator+=(const complex<_Tp>& __z) + { + __real__ _M_value += __z.real(); + __imag__ _M_value += __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<long double>& + complex<long double>::operator-=(const complex<_Tp>& __z) + { + __real__ _M_value -= __z.real(); + __imag__ _M_value -= __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<long double>& + complex<long double>::operator*=(const complex<_Tp>& __z) + { + _ComplexT __t; + __real__ __t = __z.real(); + __imag__ __t = __z.imag(); + _M_value *= __t; + return *this; + } + + template<typename _Tp> + inline complex<long double>& + complex<long double>::operator/=(const complex<_Tp>& __z) + { + _ComplexT __t; + __real__ __t = __z.real(); + __imag__ __t = __z.imag(); + _M_value /= __t; + return *this; + } + + // + // complex<float> continued. + // + inline + complex<float>::complex(float r, float i) + { + __real__ _M_value = r; + __imag__ _M_value = i; + } + + inline + complex<float>::complex(const complex<double>& __z) + : _M_value(_ComplexT(__z._M_value)) { } + + inline + complex<float>::complex(const complex<long double>& __z) + : _M_value(_ComplexT(__z._M_value)) { } + + inline complex<float>& + complex<float>::operator=(float __f) + { + __real__ _M_value = __f; + __imag__ _M_value = 0.0f; + return *this; + } + + inline complex<float>& + complex<float>::operator+=(float __f) + { + __real__ _M_value += __f; + return *this; + } + + inline complex<float>& + complex<float>::operator-=(float __f) + { + __real__ _M_value -= __f; + return *this; + } + + inline complex<float>& + complex<float>::operator*=(float __f) + { + _M_value *= __f; + return *this; + } + + inline complex<float>& + complex<float>::operator/=(float __f) + { + _M_value /= __f; + return *this; + } + + template<typename _Tp> + inline complex<float>& + complex<float>::operator=(const complex<_Tp>& __z) + { + __real__ _M_value = __z.real(); + __imag__ _M_value = __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<float>& + complex<float>::operator+=(const complex<_Tp>& __z) + { + __real__ _M_value += __z.real(); + __imag__ _M_value += __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<float>& + complex<float>::operator-=(const complex<_Tp>& __z) + { + __real__ _M_value -= __z.real(); + __imag__ _M_value -= __z.real(); + return *this; + } + + template<typename _Tp> + inline complex<float>& + complex<float>::operator*=(const complex<_Tp>& __z) + { + _ComplexT __t; + __real__ __t = __z.real(); + __imag__ __t = __z.imag(); + _M_value *= __t; + return *this; + } + + template<typename _Tp> + inline complex<float>& + complex<float>::operator/=(const complex<_Tp>& __z) + { + _ComplexT __t; + __real__ __t = __z.real(); + __imag__ __t = __z.imag(); + _M_value /= __t; + return *this; + } + + + // + // complex<double> continued. + // + inline + complex<double>::complex(double __r, double __i) + { + __real__ _M_value = __r; + __imag__ _M_value = __i; + } + + inline + complex<double>::complex(const complex<float>& __z) + : _M_value(_ComplexT(__z._M_value)) { } + + inline + complex<double>::complex(const complex<long double>& __z) + { + __real__ _M_value = __z.real(); + __imag__ _M_value = __z.imag(); + } + + inline complex<double>& + complex<double>::operator=(double __d) + { + __real__ _M_value = __d; + __imag__ _M_value = 0.0; + return *this; + } + + inline complex<double>& + complex<double>::operator+=(double __d) + { + __real__ _M_value += __d; + return *this; + } + + inline complex<double>& + complex<double>::operator-=(double __d) + { + __real__ _M_value -= __d; + return *this; + } + + inline complex<double>& + complex<double>::operator*=(double __d) + { + _M_value *= __d; + return *this; + } + + inline complex<double>& + complex<double>::operator/=(double __d) + { + _M_value /= __d; + return *this; + } + + template<typename _Tp> + inline complex<double>& + complex<double>::operator=(const complex<_Tp>& __z) + { + __real__ _M_value = __z.real(); + __imag__ _M_value = __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<double>& + complex<double>::operator+=(const complex<_Tp>& __z) + { + __real__ _M_value += __z.real(); + __imag__ _M_value += __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<double>& + complex<double>::operator-=(const complex<_Tp>& __z) + { + __real__ _M_value -= __z.real(); + __imag__ _M_value -= __z.imag(); + return *this; + } + + template<typename _Tp> + inline complex<double>& + complex<double>::operator*=(const complex<_Tp>& __z) + { + _ComplexT __t; + __real__ __t = __z.real(); + __imag__ __t = __z.imag(); + _M_value *= __t; + return *this; + } + + template<typename _Tp> + inline complex<double>& + complex<double>::operator/=(const complex<_Tp>& __z) + { + _ComplexT __t; + __real__ __t = __z.real(); + __imag__ __t = __z.imag(); + _M_value /= __t; + return *this; + } + + // + // Primary template class complex continued. + // + // 26.2.4 + template<typename _Tp> + inline + complex<_Tp>::complex(const _Tp& __r, const _Tp& __i) + : _M_real(__r), _M_imag(__i) { } + + template<typename _Tp> + template<typename _Up> + inline + complex<_Tp>::complex(const complex<_Up>& __z) + : _M_real(__z.real()), _M_imag(__z.imag()) { } + + // 26.2.7/6 + template<typename _Tp> + inline complex<_Tp> + conj(const complex<_Tp>& __z) + { return complex<_Tp>(__z.real(), -__z.imag()); } + + // 26.2.7/4 + template<typename _Tp> + inline _Tp + norm(const complex<_Tp>& __z) + { + // XXX: Grammar school computation + return __z.real() * __z.real() + __z.imag() * __z.imag(); + } + + template<typename _Tp> + complex<_Tp>& + complex<_Tp>::operator=(const _Tp& __t) + { + _M_real = __t; + _M_imag = _Tp(); + return *this; + } + + // 26.2.5/1 + template<typename _Tp> + inline complex<_Tp>& + complex<_Tp>::operator+=(const _Tp& __t) + { + _M_real += __t; + return *this; + } + + // 26.2.5/3 + template<typename _Tp> + inline complex<_Tp>& + complex<_Tp>::operator-=(const _Tp& __t) + { + _M_real -= __t; + return *this; + } + + // 26.2.5/5 + template<typename _Tp> + complex<_Tp>& + complex<_Tp>::operator*=(const _Tp& __t) + { + _M_real *= __t; + _M_imag *= __t; + return *this; + } + + // 26.2.5/7 + template<typename _Tp> + complex<_Tp>& + complex<_Tp>::operator/=(const _Tp& __t) + { + _M_real /= __t; + _M_imag /= __t; + return *this; + } + + template<typename _Tp> + template<typename _Up> + complex<_Tp>& + complex<_Tp>::operator=(const complex<_Up>& __z) + { + _M_real = __z.real(); + _M_imag = __z.imag(); + return *this; + } + + // 26.2.5/9 + template<typename _Tp> + template<typename _Up> + complex<_Tp>& + complex<_Tp>::operator+=(const complex<_Up>& __z) + { + _M_real += __z.real(); + _M_imag += __z.imag(); + return *this; + } + + // 26.2.5/11 + template<typename _Tp> + template<typename _Up> + complex<_Tp>& + complex<_Tp>::operator-=(const complex<_Up>& __z) + { + _M_real -= __z.real(); + _M_imag -= __z.imag(); + return *this; + } + + // 26.2.5/13 + // XXX: this is a grammar school implementation. + template<typename _Tp> + template<typename _Up> + complex<_Tp>& + complex<_Tp>::operator*=(const complex<_Up>& __z) + { + _Tp __r = _M_real * __z.real() - _M_imag * __z.imag(); + _M_imag = _M_real * __z.imag() + _M_imag * __z.real(); + _M_real = __r; + return *this; + } + + // 26.2.5/15 + // XXX: this is a grammar school implementation. + template<typename _Tp> + template<typename _Up> + complex<_Tp>& + complex<_Tp>::operator/=(const complex<_Up>& __z) + { + _Tp __r = _M_real * __z.real() + _M_imag * __z.imag(); + _Tp __n = norm(__z); + _M_imag = (_M_real * __z.imag() - _M_imag * __z.real()) / __n; + _M_real = __r / __n; + return *this; + } + + // Operators: + template<typename _Tp> + inline complex<_Tp> + operator+(const complex<_Tp>& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__x) += __y; } + + template<typename _Tp> + inline complex<_Tp> + operator+(const complex<_Tp>& __x, const _Tp& __y) + { return complex<_Tp> (__x) += __y; } + + template<typename _Tp> + inline complex<_Tp> + operator+(const _Tp& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__y) += __x; } + + template<typename _Tp> + inline complex<_Tp> + operator-(const complex<_Tp>& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__x) -= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator-(const complex<_Tp>& __x, const _Tp& __y) + { return complex<_Tp> (__x) -= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator-(const _Tp& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__x) -= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator*(const complex<_Tp>& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__x) *= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator*(const complex<_Tp>& __x, const _Tp& __y) + { return complex<_Tp> (__x) *= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator*(const _Tp& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__y) *= __x; } + + template<typename _Tp> + inline complex<_Tp> + operator/(const complex<_Tp>& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__x) /= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator/(const complex<_Tp>& __x, const _Tp& __y) + { return complex<_Tp> (__x) /= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator/(const _Tp& __x, const complex<_Tp>& __y) + { return complex<_Tp> (__x) /= __y; } + + template<typename _Tp> + inline complex<_Tp> + operator+(const complex<_Tp>& __x) + { return __x; } + + template<typename _Tp> + inline complex<_Tp> + operator-(const complex<_Tp>& __x) + { return complex<_Tp>(-__x.real(), -__x.imag()); } + + template<typename _Tp> + inline bool + operator==(const complex<_Tp>& __x, const complex<_Tp>& __y) + { return __x.real() == __y.real() && __x.imag() == __y.imag(); } + + template<typename _Tp> + inline bool + operator==(const complex<_Tp>& __x, const _Tp& __y) + { return __x.real() == __y && __x.imag() == 0; } + + template<typename _Tp> + inline bool + operator==(const _Tp& __x, const complex<_Tp>& __y) + { return __x == __y.real() && 0 == __y.imag(); } + + template<typename _Tp> + inline bool + operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y) + { return __x.real() != __y.real() || __x.imag() != __y.imag(); } + + template<typename _Tp> + inline bool + operator!=(const complex<_Tp>& __x, const _Tp& __y) + { return __x.real() != __y || __x.imag() != 0; } + + template<typename _Tp> + inline bool + operator!=(const _Tp& __x, const complex<_Tp>& __y) + { return __x != __y.real() || 0 != __y.imag(); } + + template<typename _Tp, typename _CharT, class _Traits> + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>&, complex<_Tp>&); + + template<typename _Tp, typename _CharT, class _Traits> + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>&, const complex<_Tp>&); + + + // Values: + template <typename _Tp> + inline _Tp + real(const complex<_Tp>& __z) + { return __z.real(); } + + template <typename _Tp> + inline _Tp + imag(const complex<_Tp>& __z) + { return __z.imag(); } + + + // We use here a few more specializations. + template<> + inline complex<float> + conj(const complex<float> &__x) +#ifdef _GLIBCPP_BUGGY_FLOAT_COMPLEX + { + complex<float> __tmpf(~__x._M_value); + return __tmpf; + } +#else + { return complex<float>(~__x._M_value); } +#endif + + template<> + inline complex<double> + conj(const complex<double> &__x) + { return complex<double> (~__x._M_value); } + + template<> + inline complex<long double> + conj(const complex<long double> &__x) + { return complex<long double> (~__x._M_value); } + +} // namespace std + +#endif /* _CPP_COMPLEX */ + + + + |