--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/mingw-5.1.4/win32/include/c++/3.4.5/complex Fri Apr 03 17:16:45 2009 +0100
@@ -0,0 +1,1226 @@
+// The template and inlines for the -*- C++ -*- complex number classes.
+
+// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005
+// 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 C++ 14882: 26.2 Complex Numbers
+// 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>
+//
+
+/** @file complex
+ * This is a Standard C++ Library header. You should @c #include this header
+ * in your programs, rather than any of the "st[dl]_*.h" implementation files.
+ */
+
+#ifndef _GLIBCXX_COMPLEX
+#define _GLIBCXX_COMPLEX 1
+
+#pragma GCC system_header
+
+#include <bits/c++config.h>
+#include <bits/cpp_type_traits.h>
+#include <cmath>
+#include <sstream>
+
+namespace std
+{
+ // Forward declarations
+ template<typename _Tp> class complex;
+ template<> class complex<float>;
+ template<> class complex<double>;
+ template<> class complex<long double>;
+
+ /// Return magnitude of @a z.
+ template<typename _Tp> _Tp abs(const complex<_Tp>&);
+ /// Return phase angle of @a z.
+ template<typename _Tp> _Tp arg(const complex<_Tp>&);
+ /// Return @a z magnitude squared.
+ template<typename _Tp> _Tp norm(const complex<_Tp>&);
+
+ /// Return complex conjugate of @a z.
+ template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&);
+ /// Return complex with magnitude @a rho and angle @a theta.
+ template<typename _Tp> complex<_Tp> polar(const _Tp&, const _Tp& = 0);
+
+ // Transcendentals:
+ /// Return complex cosine of @a z.
+ template<typename _Tp> complex<_Tp> cos(const complex<_Tp>&);
+ /// Return complex hyperbolic cosine of @a z.
+ template<typename _Tp> complex<_Tp> cosh(const complex<_Tp>&);
+ /// Return complex base e exponential of @a z.
+ template<typename _Tp> complex<_Tp> exp(const complex<_Tp>&);
+ /// Return complex natural logarithm of @a z.
+ template<typename _Tp> complex<_Tp> log(const complex<_Tp>&);
+ /// Return complex base 10 logarithm of @a z.
+ template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&);
+ /// Return complex cosine of @a z.
+ template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int);
+ /// Return @a x to the @a y'th power.
+ template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const _Tp&);
+ /// Return @a x to the @a y'th power.
+ template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&,
+ const complex<_Tp>&);
+ /// Return @a x to the @a y'th power.
+ template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&);
+ /// Return complex sine of @a z.
+ template<typename _Tp> complex<_Tp> sin(const complex<_Tp>&);
+ /// Return complex hyperbolic sine of @a z.
+ template<typename _Tp> complex<_Tp> sinh(const complex<_Tp>&);
+ /// Return complex square root of @a z.
+ template<typename _Tp> complex<_Tp> sqrt(const complex<_Tp>&);
+ /// Return complex tangent of @a z.
+ template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&);
+ /// Return complex hyperbolic tangent of @a z.
+ template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&);
+ //@}
+
+
+ // 26.2.2 Primary template class complex
+ /**
+ * Template to represent complex numbers.
+ *
+ * Specializations for float, double, and long double are part of the
+ * library. Results with any other type are not guaranteed.
+ *
+ * @param Tp Type of real and imaginary values.
+ */
+ template<typename _Tp>
+ class complex
+ {
+ public:
+ /// Value typedef.
+ typedef _Tp value_type;
+
+ /// Default constructor. First parameter is x, second parameter is y.
+ /// Unspecified parameters default to 0.
+ complex(const _Tp& = _Tp(), const _Tp & = _Tp());
+
+ // Lets the compiler synthesize the copy constructor
+ // complex (const complex<_Tp>&);
+ /// Copy constructor.
+ template<typename _Up>
+ complex(const complex<_Up>&);
+
+ /// Return real part of complex number.
+ _Tp& real();
+ /// Return real part of complex number.
+ const _Tp& real() const;
+ /// Return imaginary part of complex number.
+ _Tp& imag();
+ /// Return imaginary part of complex number.
+ const _Tp& imag() const;
+
+ /// Assign this complex number to scalar @a t.
+ complex<_Tp>& operator=(const _Tp&);
+ /// Add @a t to this complex number.
+ complex<_Tp>& operator+=(const _Tp&);
+ /// Subtract @a t from this complex number.
+ complex<_Tp>& operator-=(const _Tp&);
+ /// Multiply this complex number by @a t.
+ complex<_Tp>& operator*=(const _Tp&);
+ /// Divide this complex number by @a t.
+ complex<_Tp>& operator/=(const _Tp&);
+
+ // Lets the compiler synthesize the
+ // copy and assignment operator
+ // complex<_Tp>& operator= (const complex<_Tp>&);
+ /// Assign this complex number to complex @a z.
+ template<typename _Up>
+ complex<_Tp>& operator=(const complex<_Up>&);
+ /// Add @a z to this complex number.
+ template<typename _Up>
+ complex<_Tp>& operator+=(const complex<_Up>&);
+ /// Subtract @a z from this complex number.
+ template<typename _Up>
+ complex<_Tp>& operator-=(const complex<_Up>&);
+ /// Multiply this complex number by @a z.
+ template<typename _Up>
+ complex<_Tp>& operator*=(const complex<_Up>&);
+ /// Divide this complex number by @a z.
+ template<typename _Up>
+ complex<_Tp>& operator/=(const complex<_Up>&);
+
+ private:
+ _Tp _M_real;
+ _Tp _M_imag;
+ };
+
+ template<typename _Tp>
+ inline _Tp&
+ complex<_Tp>::real() { return _M_real; }
+
+ template<typename _Tp>
+ inline const _Tp&
+ complex<_Tp>::real() const { return _M_real; }
+
+ template<typename _Tp>
+ inline _Tp&
+ complex<_Tp>::imag() { return _M_imag; }
+
+ template<typename _Tp>
+ inline const _Tp&
+ complex<_Tp>::imag() const { return _M_imag; }
+
+ 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()) { }
+
+ 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)
+ {
+ const _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)
+ {
+ const _Tp __r = _M_real * __z.real() + _M_imag * __z.imag();
+ const _Tp __n = std::norm(__z);
+ _M_imag = (_M_imag * __z.real() - _M_real * __z.imag()) / __n;
+ _M_real = __r / __n;
+ return *this;
+ }
+
+ // Operators:
+ //@{
+ /// Return new complex value @a x plus @a y.
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r += __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator+(const complex<_Tp>& __x, const _Tp& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r.real() += __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator+(const _Tp& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __y;
+ __r.real() += __x;
+ return __r;
+ }
+ //@}
+
+ //@{
+ /// Return new complex value @a x minus @a y.
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r -= __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator-(const complex<_Tp>& __x, const _Tp& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r.real() -= __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator-(const _Tp& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r(__x, -__y.imag());
+ __r.real() -= __y.real();
+ return __r;
+ }
+ //@}
+
+ //@{
+ /// Return new complex value @a x times @a y.
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator*(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r *= __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator*(const complex<_Tp>& __x, const _Tp& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r *= __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator*(const _Tp& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __y;
+ __r *= __x;
+ return __r;
+ }
+ //@}
+
+ //@{
+ /// Return new complex value @a x divided by @a y.
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator/(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r /= __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator/(const complex<_Tp>& __x, const _Tp& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r /= __y;
+ return __r;
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator/(const _Tp& __x, const complex<_Tp>& __y)
+ {
+ complex<_Tp> __r = __x;
+ __r /= __y;
+ return __r;
+ }
+ //@}
+
+ /// Return @a x.
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator+(const complex<_Tp>& __x)
+ { return __x; }
+
+ /// Return complex negation of @a x.
+ template<typename _Tp>
+ inline complex<_Tp>
+ operator-(const complex<_Tp>& __x)
+ { return complex<_Tp>(-__x.real(), -__x.imag()); }
+
+ //@{
+ /// Return true if @a x is equal to @a y.
+ 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() == _Tp(); }
+
+ template<typename _Tp>
+ inline bool
+ operator==(const _Tp& __x, const complex<_Tp>& __y)
+ { return __x == __y.real() && _Tp() == __y.imag(); }
+ //@}
+
+ //@{
+ /// Return false if @a x is equal to @a y.
+ 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() != _Tp(); }
+
+ template<typename _Tp>
+ inline bool
+ operator!=(const _Tp& __x, const complex<_Tp>& __y)
+ { return __x != __y.real() || _Tp() != __y.imag(); }
+ //@}
+
+ /// Extraction operator for complex values.
+ template<typename _Tp, typename _CharT, class _Traits>
+ basic_istream<_CharT, _Traits>&
+ operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
+ {
+ _Tp __re_x, __im_x;
+ _CharT __ch;
+ __is >> __ch;
+ if (__ch == '(')
+ {
+ __is >> __re_x >> __ch;
+ if (__ch == ',')
+ {
+ __is >> __im_x >> __ch;
+ if (__ch == ')')
+ __x = complex<_Tp>(__re_x, __im_x);
+ else
+ __is.setstate(ios_base::failbit);
+ }
+ else if (__ch == ')')
+ __x = __re_x;
+ else
+ __is.setstate(ios_base::failbit);
+ }
+ else
+ {
+ __is.putback(__ch);
+ __is >> __re_x;
+ __x = __re_x;
+ }
+ return __is;
+ }
+
+ /// Insertion operator for complex values.
+ template<typename _Tp, typename _CharT, class _Traits>
+ basic_ostream<_CharT, _Traits>&
+ operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x)
+ {
+ basic_ostringstream<_CharT, _Traits> __s;
+ __s.flags(__os.flags());
+ __s.imbue(__os.getloc());
+ __s.precision(__os.precision());
+ __s << '(' << __x.real() << ',' << __x.imag() << ')';
+ return __os << __s.str();
+ }
+
+ // Values
+ template<typename _Tp>
+ inline _Tp&
+ real(complex<_Tp>& __z)
+ { return __z.real(); }
+
+ template<typename _Tp>
+ inline const _Tp&
+ real(const complex<_Tp>& __z)
+ { return __z.real(); }
+
+ template<typename _Tp>
+ inline _Tp&
+ imag(complex<_Tp>& __z)
+ { return __z.imag(); }
+
+ template<typename _Tp>
+ inline const _Tp&
+ imag(const complex<_Tp>& __z)
+ { return __z.imag(); }
+
+ template<typename _Tp>
+ inline _Tp
+ abs(const complex<_Tp>& __z)
+ {
+ _Tp __x = __z.real();
+ _Tp __y = __z.imag();
+ const _Tp __s = std::max(abs(__x), abs(__y));
+ if (__s == _Tp()) // well ...
+ return __s;
+ __x /= __s;
+ __y /= __s;
+ return __s * sqrt(__x * __x + __y * __y);
+ }
+
+ template<typename _Tp>
+ inline _Tp
+ arg(const complex<_Tp>& __z)
+ { return atan2(__z.imag(), __z.real()); }
+
+ // 26.2.7/5: norm(__z) returns the squared magintude of __z.
+ // As defined, norm() is -not- a norm is the common mathematical
+ // sens used in numerics. The helper class _Norm_helper<> tries to
+ // distinguish between builtin floating point and the rest, so as
+ // to deliver an answer as close as possible to the real value.
+ template<bool>
+ struct _Norm_helper
+ {
+ template<typename _Tp>
+ static inline _Tp _S_do_it(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return __x * __x + __y * __y;
+ }
+ };
+
+ template<>
+ struct _Norm_helper<true>
+ {
+ template<typename _Tp>
+ static inline _Tp _S_do_it(const complex<_Tp>& __z)
+ {
+ _Tp __res = std::abs(__z);
+ return __res * __res;
+ }
+ };
+
+ template<typename _Tp>
+ inline _Tp
+ norm(const complex<_Tp>& __z)
+ {
+ return _Norm_helper<__is_floating<_Tp>::_M_type && !_GLIBCXX_FAST_MATH>::_S_do_it(__z);
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ polar(const _Tp& __rho, const _Tp& __theta)
+ { return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta)); }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ conj(const complex<_Tp>& __z)
+ { return complex<_Tp>(__z.real(), -__z.imag()); }
+
+ // Transcendentals
+ template<typename _Tp>
+ inline complex<_Tp>
+ cos(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(cos(__x) * cosh(__y), -sin(__x) * sinh(__y));
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ cosh(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(cosh(__x) * cos(__y), sinh(__x) * sin(__y));
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ exp(const complex<_Tp>& __z)
+ { return std::polar(exp(__z.real()), __z.imag()); }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ log(const complex<_Tp>& __z)
+ { return complex<_Tp>(log(std::abs(__z)), std::arg(__z)); }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ log10(const complex<_Tp>& __z)
+ { return std::log(__z) / log(_Tp(10.0)); }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ sin(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ sinh(const complex<_Tp>& __z)
+ {
+ const _Tp __x = __z.real();
+ const _Tp __y = __z.imag();
+ return complex<_Tp>(sinh(__x) * cos(__y), cosh(__x) * sin(__y));
+ }
+
+ template<typename _Tp>
+ complex<_Tp>
+ sqrt(const complex<_Tp>& __z)
+ {
+ _Tp __x = __z.real();
+ _Tp __y = __z.imag();
+
+ if (__x == _Tp())
+ {
+ _Tp __t = sqrt(abs(__y) / 2);
+ return complex<_Tp>(__t, __y < _Tp() ? -__t : __t);
+ }
+ else
+ {
+ _Tp __t = sqrt(2 * (std::abs(__z) + abs(__x)));
+ _Tp __u = __t / 2;
+ return __x > _Tp()
+ ? complex<_Tp>(__u, __y / __t)
+ : complex<_Tp>(abs(__y) / __t, __y < _Tp() ? -__u : __u);
+ }
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ tan(const complex<_Tp>& __z)
+ {
+ return std::sin(__z) / std::cos(__z);
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ tanh(const complex<_Tp>& __z)
+ {
+ return std::sinh(__z) / std::cosh(__z);
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const complex<_Tp>& __z, int __n)
+ {
+ return std::__pow_helper(__z, __n);
+ }
+
+ template<typename _Tp>
+ complex<_Tp>
+ pow(const complex<_Tp>& __x, const _Tp& __y)
+ {
+ if (__x.imag() == _Tp() && __x.real() > _Tp())
+ return pow(__x.real(), __y);
+
+ complex<_Tp> __t = std::log(__x);
+ return std::polar(exp(__y * __t.real()), __y * __t.imag());
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
+ {
+ return __x == _Tp() ? _Tp() : std::exp(__y * std::log(__x));
+ }
+
+ template<typename _Tp>
+ inline complex<_Tp>
+ pow(const _Tp& __x, const complex<_Tp>& __y)
+ {
+ return __x > _Tp() ? std::polar(pow(__x, __y.real()),
+ __y.imag() * log(__x))
+ : std::pow(complex<_Tp>(__x, _Tp()), __y);
+ }
+
+ // 26.2.3 complex specializations
+ // complex<float> specialization
+ template<> class complex<float>
+ {
+ public:
+ typedef float value_type;
+
+ complex(float = 0.0f, float = 0.0f);
+
+ explicit complex(const complex<double>&);
+ explicit complex(const complex<long double>&);
+
+ float& real();
+ const float& real() const;
+ float& imag();
+ 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>;
+ };
+
+ inline float&
+ complex<float>::real()
+ { return __real__ _M_value; }
+
+ inline const float&
+ complex<float>::real() const
+ { return __real__ _M_value; }
+
+ inline float&
+ complex<float>::imag()
+ { return __imag__ _M_value; }
+
+ inline const float&
+ complex<float>::imag() const
+ { return __imag__ _M_value; }
+
+ inline
+ complex<float>::complex(float r, float i)
+ {
+ __real__ _M_value = r;
+ __imag__ _M_value = i;
+ }
+
+ 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.imag();
+ 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;
+ }
+
+ // 26.2.3 complex specializations
+ // complex<double> specialization
+ template<> class complex<double>
+ {
+ public:
+ typedef double value_type;
+
+ complex(double = 0.0, double = 0.0);
+
+ complex(const complex<float>&);
+ explicit complex(const complex<long double>&);
+
+ double& real();
+ const double& real() const;
+ double& imag();
+ 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>;
+ };
+
+ inline double&
+ complex<double>::real()
+ { return __real__ _M_value; }
+
+ inline const double&
+ complex<double>::real() const
+ { return __real__ _M_value; }
+
+ inline double&
+ complex<double>::imag()
+ { return __imag__ _M_value; }
+
+ inline const double&
+ complex<double>::imag() const
+ { return __imag__ _M_value; }
+
+ inline
+ complex<double>::complex(double __r, double __i)
+ {
+ __real__ _M_value = __r;
+ __imag__ _M_value = __i;
+ }
+
+ 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;
+ }
+
+ // 26.2.3 complex specializations
+ // complex<long double> specialization
+ template<> class complex<long double>
+ {
+ public:
+ typedef long double value_type;
+
+ complex(long double = 0.0L, long double = 0.0L);
+
+ complex(const complex<float>&);
+ complex(const complex<double>&);
+
+ long double& real();
+ const long double& real() const;
+ long double& imag();
+ 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>;
+ };
+
+ inline
+ complex<long double>::complex(long double __r, long double __i)
+ {
+ __real__ _M_value = __r;
+ __imag__ _M_value = __i;
+ }
+
+ inline long double&
+ complex<long double>::real()
+ { return __real__ _M_value; }
+
+ inline const long double&
+ complex<long double>::real() const
+ { return __real__ _M_value; }
+
+ inline long double&
+ complex<long double>::imag()
+ { return __imag__ _M_value; }
+
+ inline const 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)
+ {
+ _M_value *= __r;
+ return *this;
+ }
+
+ inline complex<long double>&
+ complex<long double>::operator/=(long double __r)
+ {
+ _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;
+ }
+
+ // These bits have to be at the end of this file, so that the
+ // specializations have all been defined.
+ // ??? No, they have to be there because of compiler limitation at
+ // inlining. It suffices that class specializations be defined.
+ 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<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<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)) { }
+} // namespace std
+
+#endif /* _GLIBCXX_COMPLEX */