mirror of
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1201 lines
32 KiB
C++
1201 lines
32 KiB
C++
--- src/libLfunction/Lcomplex.h.orig 2021-12-19 17:09:15 UTC
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+++ src/libLfunction/Lcomplex.h
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@@ -1,1198 +0,0 @@
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-// The template and inlines for the -*- C++ -*- complex number classes.
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-
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-// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002
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-// Free Software Foundation, Inc.
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-//
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-// This file is part of the GNU ISO C++ Library. This library is free
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-// software; you can redistribute it and/or modify it under the
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-// terms of the GNU General Public License as published by the
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-// Free Software Foundation; either version 2, or (at your option)
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-// any later version.
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-
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-// This library is distributed in the hope that it will be useful,
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-// but WITHOUT ANY WARRANTY; without even the implied warranty of
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-// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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-// GNU General Public License for more details.
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-
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-// You should have received a copy of the GNU General Public License along
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-// with this library; see the file COPYING. If not, write to the Free
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-// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
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-// USA.
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-
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-// As a special exception, you may use this file as part of a free software
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-// library without restriction. Specifically, if other files instantiate
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-// templates or use macros or inline functions from this file, or you compile
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-// this file and link it with other files to produce an executable, this
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-// file does not by itself cause the resulting executable to be covered by
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-// the GNU General Public License. This exception does not however
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-// invalidate any other reasons why the executable file might be covered by
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-// the GNU General Public License.
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-
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-//
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-// ISO C++ 14882: 26.2 Complex Numbers
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-// Note: this is not a conforming implementation.
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-// Initially implemented by Ulrich Drepper <drepper@cygnus.com>
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-// Improved by Gabriel Dos Reis <dosreis@cmla.ens-cachan.fr>
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-//
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-
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-/** @file complex
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- * This is a Standard C++ Library header. You should @c #include this header
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- * in your programs, rather than any of the "st[dl]_*.h" implementation files.
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- */
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-
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-#ifndef _CPP_COMPLEX
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-#define _CPP_COMPLEX 1
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-
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-#pragma GCC system_header
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-
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-//no longer include:
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-//#include <bits/cpp_type_traits.h> only thing used was is_floating...
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-//gcc 4.0 cpp_type_traits.h is not compatible with gcc 3.3.
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-//But Lcomplex.h file was derived
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-//from gcc 3.3 complex header file. The only thing used from that header file is __is_floating, so I just
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-//renamed it in this file to __is_floating_old (to avoid conflict with other includes of
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-//<bits/cpp_type_traits.h>) and cut and paste and renamed the old __is_floating.
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-
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-#include <cmath>
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-#include <sstream>
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-
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-namespace std
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-{
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- // Forward declarations
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- template<typename _Tp> class complex;
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- template<> class complex<float>;
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- template<> class complex<double>;
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- template<> class complex<long double>;
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-
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- template<typename _Tp> _Tp abs(const complex<_Tp>&);
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- template<typename _Tp> _Tp arg(const complex<_Tp>&);
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- template<typename _Tp> _Tp norm(const complex<_Tp>&);
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-
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- template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> polar(const _Tp&, const _Tp& = 0);
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-
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- // Transcendentals:
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- template<typename _Tp> complex<_Tp> cos(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> cosh(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> exp(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> log(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&);
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- template<typename _Tp, typename _Up> complex<_Tp> pow(const complex<_Tp>&, const _Up&);
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- template<typename _Tp, typename _Up> complex<_Tp> pow(const _Up&, const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int);
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- template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> sin(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> sinh(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> sqrt(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&);
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- template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&);
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-
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-
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- // 26.2.2 Primary template class complex
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- template<typename _Tp>
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- class complex
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- {
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- public:
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- typedef _Tp value_type;
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-
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- complex(const _Tp& = 0, const _Tp& = 0);
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- complex(const int&);
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- complex(const double&);
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-
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- // Let's the compiler synthetize the copy constructor
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- // complex (const complex<_Tp>&);
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- template<typename _Up>
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- complex(const _Up&);
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- template<typename _Up>
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- complex(const complex<_Up>&);
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-
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- _Tp real() const;
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- _Tp imag() const;
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-
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- template<typename _Up> complex<_Tp>& operator=(const _Up&);
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- complex<_Tp>& operator=(const _Tp&);
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- complex<_Tp>& operator=(const int&);
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- complex<_Tp>& operator=(const double&);
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- complex<_Tp>& operator+=(const _Tp&);
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- complex<_Tp>& operator-=(const _Tp&);
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- complex<_Tp>& operator*=(const _Tp&);
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- complex<_Tp>& operator/=(const _Tp&);
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-
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- // Let's the compiler synthetize the
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- // copy and assignment operator
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- // complex<_Tp>& operator= (const complex<_Tp>&);
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- template<typename _Up>
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- complex<_Tp>& operator=(const complex<_Up>&);
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- template<typename _Up>
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- complex<_Tp>& operator+=(const complex<_Up>&);
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- template<typename _Up>
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- complex<_Tp>& operator-=(const complex<_Up>&);
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- template<typename _Up>
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- complex<_Tp>& operator*=(const complex<_Up>&);
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- template<typename _Up>
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- complex<_Tp>& operator/=(const complex<_Up>&);
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-
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- friend void reset(complex<_Tp>& C) {
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- reset(C._M_real);
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- reset(C._M_imag);
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- }
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-
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- private:
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- _Tp _M_real, _M_imag;
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- };
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-
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- template<typename _Tp>
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- inline _Tp
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- complex<_Tp>::real() const { return _M_real; }
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-
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- template<typename _Tp>
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- inline _Tp
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- complex<_Tp>::imag() const { return _M_imag; }
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-
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- template<typename _Tp>
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- inline
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- complex<_Tp>::complex(const _Tp& __r, const _Tp& __i) {
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- _M_real=__r;
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- _M_imag=__i;
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- }
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-
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- template<typename _Tp> template<typename _Up>
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- inline
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- complex<_Tp>::complex(const _Up& r) {
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- _M_real=r;
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- _M_imag=0.;
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- }
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-
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- template<typename _Tp>
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- inline
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- complex<_Tp>::complex(const int& r) {
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- _M_real=r;
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- _M_imag=0.;
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- }
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- template<typename _Tp>
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- inline
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- complex<_Tp>::complex(const double& r) {
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- _M_real=r;
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- _M_imag=0.;
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- }
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-
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- template<typename _Tp>
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- template<typename _Up>
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- inline
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- complex<_Tp>::complex(const complex<_Up>& __z)
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- : _M_real(__z.real()), _M_imag(__z.imag()) { }
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-
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- template<typename _Tp> template<typename _Up>
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- complex<_Tp>&
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- complex<_Tp>::operator=(const _Up& __t)
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- {
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- _M_real = __t;
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- _M_imag = _Tp(0);
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- return *this;
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- }
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-
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-
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- template<typename _Tp>
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- complex<_Tp>&
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- complex<_Tp>::operator=(const _Tp& __t)
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- {
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- _M_real = __t;
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- _M_imag = _Tp(0);
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- return *this;
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- }
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-
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- template<typename _Tp>
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- complex<_Tp>&
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- complex<_Tp>::operator=(const int& __t)
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- {
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- _M_real = __t;
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- _M_imag = _Tp(0);
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- return *this;
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- }
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-
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- template<typename _Tp>
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- complex<_Tp>&
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- complex<_Tp>::operator=(const double& __t)
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- {
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- _M_real = __t;
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- _M_imag = _Tp(0);
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- return *this;
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- }
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-
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- // 26.2.5/1
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- template<typename _Tp>
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- inline complex<_Tp>&
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- complex<_Tp>::operator+=(const _Tp& __t)
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- {
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- _M_real += __t;
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- return *this;
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- }
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-
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- // 26.2.5/3
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- template<typename _Tp>
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- inline complex<_Tp>&
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- complex<_Tp>::operator-=(const _Tp& __t)
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- {
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- _M_real -= __t;
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- return *this;
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- }
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-
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- // 26.2.5/5
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- template<typename _Tp>
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- complex<_Tp>&
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- complex<_Tp>::operator*=(const _Tp& __t)
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- {
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- _M_real *= __t;
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- _M_imag *= __t;
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- return *this;
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- }
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-
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- // 26.2.5/7
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- template<typename _Tp>
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- complex<_Tp>&
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- complex<_Tp>::operator/=(const _Tp& __t)
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- {
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- _M_real /= __t;
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- _M_imag /= __t;
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- return *this;
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- }
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-
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- template<typename _Tp>
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- template<typename _Up>
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- complex<_Tp>&
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- complex<_Tp>::operator=(const complex<_Up>& __z)
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- {
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- _M_real = __z.real();
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- _M_imag = __z.imag();
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- return *this;
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- }
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-
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- // 26.2.5/9
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- template<typename _Tp>
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- template<typename _Up>
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- complex<_Tp>&
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- complex<_Tp>::operator+=(const complex<_Up>& __z)
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- {
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- _M_real += __z.real();
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- _M_imag += __z.imag();
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- return *this;
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- }
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-
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- // 26.2.5/11
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- template<typename _Tp>
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- template<typename _Up>
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- complex<_Tp>&
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- complex<_Tp>::operator-=(const complex<_Up>& __z)
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- {
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- _M_real -= __z.real();
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- _M_imag -= __z.imag();
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- return *this;
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- }
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-
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- // 26.2.5/13
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- // XXX: This is a grammar school implementation.
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- template<typename _Tp>
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- template<typename _Up>
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- complex<_Tp>&
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- complex<_Tp>::operator*=(const complex<_Up>& __z)
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- {
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- const _Tp __r = _M_real * __z.real() - _M_imag * __z.imag();
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- _M_imag = _M_real * __z.imag() + _M_imag * __z.real();
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- _M_real = __r;
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- return *this;
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- }
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-
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- // 26.2.5/15
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- // XXX: This is a grammar school implementation.
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- template<typename _Tp>
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- template<typename _Up>
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- complex<_Tp>&
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- complex<_Tp>::operator/=(const complex<_Up>& __z)
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- {
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- const _Tp __r = _M_real * __z.real() + _M_imag * __z.imag();
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- const _Tp __n = norm(__z);
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- _M_imag = (_M_imag * __z.real() - _M_real * __z.imag()) / __n;
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- _M_real = __r / __n;
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- return *this;
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- }
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-
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- // Operators:
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- template<typename _Tp>
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- inline complex<_Tp>
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- operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__x) += __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator+(const complex<_Tp>& __x, const _Up& __y)
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- { return complex<_Tp> (__x) += __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator+(const _Up& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__y) += __x; }
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-
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- template<typename _Tp>
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- inline complex<_Tp>
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- operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__x) -= __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator-(const complex<_Tp>& __x, const _Up& __y)
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- { return complex<_Tp> (__x) -= __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator-(const _Up& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__x) -= __y; }
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-
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- template<typename _Tp>
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- inline complex<_Tp>
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- operator*(const complex<_Tp>& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__x) *= __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator*(const complex<_Tp>& __x, const _Up& __y)
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- { return complex<_Tp> (__x) *= __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator*(const _Up& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__y) *= __x; }
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-
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- template<typename _Tp>
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- inline complex<_Tp>
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- operator/(const complex<_Tp>& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__x) /= __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator/(const complex<_Tp>& __x, const _Up& __y)
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- { return complex<_Tp> (__x) /= __y; }
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-
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- template<typename _Tp,
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- typename _Up>
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- inline complex<_Tp>
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- operator/(const _Up& __x, const complex<_Tp>& __y)
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- { return complex<_Tp> (__x) /= __y; }
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-
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- template<typename _Tp>
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- inline complex<_Tp>
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- operator+(const complex<_Tp>& __x)
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- { return __x; }
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-
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- template<typename _Tp>
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- inline complex<_Tp>
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- operator-(const complex<_Tp>& __x)
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- { return complex<_Tp>(-__x.real(), -__x.imag()); }
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-
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- template<typename _Tp>
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- inline bool
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- operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
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- { return __x.real() == __y.real() && __x.imag() == __y.imag(); }
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-
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- template<typename _Tp, typename _Up>
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- inline bool
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- operator==(const complex<_Tp>& __x, const _Up& __y)
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- { return __x.real() == __y && __x.imag() == _Tp(0); }
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-
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- template<typename _Tp, typename _Up>
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- inline bool
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- operator==(const _Up& __x, const complex<_Tp>& __y)
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- { return __x == __y.real() && _Tp(0) == __y.imag(); }
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-
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- template<typename _Tp>
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- inline bool
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- operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
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- { return __x.real() != __y.real() || __x.imag() != __y.imag(); }
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-
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- template<typename _Tp, typename _Up>
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- inline bool
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- operator!=(const complex<_Tp>& __x, const _Up& __y)
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- { return __x.real() != __y || __x.imag() != _Tp(0); }
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-
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- template<typename _Tp, typename _Up>
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- inline bool
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- operator!=(const _Up& __x, const complex<_Tp>& __y)
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- { return __x != __y.real() || _Tp(0) != __y.imag(); }
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-
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- template<typename _Tp, typename _CharT, class _Traits>
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- basic_istream<_CharT, _Traits>&
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- operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
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- {
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- _Tp __re_x, __im_x;
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- _CharT __ch;
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- __is >> __ch;
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- if (__ch == '(')
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- {
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- __is >> __re_x >> __ch;
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- if (__ch == ',')
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- {
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- __is >> __im_x >> __ch;
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- if (__ch == ')')
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- __x = complex<_Tp>(__re_x, __im_x);
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- else
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- __is.setstate(ios_base::failbit);
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- }
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- else if (__ch == ')')
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- __x = complex<_Tp>(__re_x, _Tp(0));
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- else
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- __is.setstate(ios_base::failbit);
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- }
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- else
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- {
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- __is.putback(__ch);
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- __is >> __re_x;
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- __x = complex<_Tp>(__re_x, _Tp(0));
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- }
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- return __is;
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- }
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-
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- template<typename _Tp, typename _CharT, class _Traits>
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- basic_ostream<_CharT, _Traits>&
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- operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x)
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- {
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- basic_ostringstream<_CharT, _Traits> __s;
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- __s.flags(__os.flags());
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- __s.imbue(__os.getloc());
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- __s.precision(__os.precision());
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- __s << '(' << __x.real() << ',' << __x.imag() << ')';
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- return __os << __s.str();
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- }
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-
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- // Values
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|
- 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(); }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline _Tp
|
|
- abs(const complex<_Tp>& __z)
|
|
- {
|
|
- _Tp __x = __z.real();
|
|
- _Tp __y = __z.imag();
|
|
- const _Tp __s = max(abs(__x), abs(__y));
|
|
- if (__s == _Tp(0)) // 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 = abs(__z);
|
|
- return __res * __res;
|
|
- }
|
|
- };
|
|
-
|
|
- //============= added from gcc 3.3 cpp_type_traits.h and renamed __is_floating_old
|
|
- //
|
|
- // Floating point types
|
|
- //
|
|
- template<typename _Tp>
|
|
- struct __is_floating_old
|
|
- {
|
|
- enum
|
|
- {
|
|
- _M_type = 0
|
|
- };
|
|
- };
|
|
-
|
|
- // three specializations (float, double and 'long double')
|
|
- template<>
|
|
- struct __is_floating_old<float>
|
|
- {
|
|
- enum
|
|
- {
|
|
- _M_type = 1
|
|
- };
|
|
- };
|
|
-
|
|
- template<>
|
|
- struct __is_floating_old<double>
|
|
- {
|
|
- enum
|
|
- {
|
|
- _M_type = 1
|
|
- };
|
|
- };
|
|
-
|
|
- template<>
|
|
- struct __is_floating_old<long double>
|
|
- {
|
|
- enum
|
|
- {
|
|
- _M_type = 1
|
|
- };
|
|
- };
|
|
-
|
|
-
|
|
- //============== end cut and paste and rename __is_floating
|
|
-
|
|
- template<typename _Tp>
|
|
- inline _Tp
|
|
- norm(const complex<_Tp>& __z)
|
|
- {
|
|
- return _Norm_helper<__is_floating_old<_Tp>::_M_type>::_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 polar(exp(__z.real()), __z.imag()); }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline complex<_Tp>
|
|
- log(const complex<_Tp>& __z)
|
|
- { return complex<_Tp>(log(abs(__z)), arg(__z)); }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline complex<_Tp>
|
|
- log10(const complex<_Tp>& __z)
|
|
- { return 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(0))
|
|
- {
|
|
- _Tp __t = sqrt(abs(__y) / 2);
|
|
- return complex<_Tp>(__t, __y < _Tp(0) ? __t=-__t : __t);
|
|
- }
|
|
- else
|
|
- {
|
|
- _Tp __t = sqrt(2 * (abs(__z) + abs(__x)));
|
|
- _Tp __u = __t / 2;
|
|
- return __x > _Tp(0)
|
|
- ? complex<_Tp>(__u, __y / __t)
|
|
- : complex<_Tp>(abs(__y) / __t, __y < _Tp(0) ? __u=-__u : __u);
|
|
- }
|
|
- }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline complex<_Tp>
|
|
- tan(const complex<_Tp>& __z)
|
|
- {
|
|
- return sin(__z) / cos(__z);
|
|
- }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline complex<_Tp>
|
|
- tanh(const complex<_Tp>& __z)
|
|
- {
|
|
- return sinh(__z) / cosh(__z);
|
|
- }
|
|
-
|
|
- // Code from bits/cmath.cc, written by Gabriel Dos Reis
|
|
- template<typename _Tp> inline complex<_Tp>
|
|
- pow(const complex<_Tp>& __z, int __n)
|
|
- {
|
|
- complex<_Tp> __y = __n % 2 ? __z : complex<_Tp>(1);
|
|
- complex<_Tp> __x = __z;
|
|
-
|
|
- while (__n >>= 1)
|
|
- {
|
|
- __x = __x * __x;
|
|
- if (__n % 2)
|
|
- __y = __y * __x;
|
|
- }
|
|
-
|
|
- return __y;
|
|
-
|
|
- }
|
|
-
|
|
-
|
|
- template<typename _Tp, typename _Up>
|
|
- inline complex<_Tp>
|
|
- pow(const complex<_Tp>& __x, const _Up& __y)
|
|
- {
|
|
- return exp(__y * log(__x));
|
|
- }
|
|
-
|
|
- template<typename _Tp, typename _Up>
|
|
- inline complex<_Tp>
|
|
- pow(const _Up& __x, const complex<_Tp>& __y)
|
|
- {
|
|
- return exp(__y * log(__x));
|
|
- }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline complex<_Tp>
|
|
- pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
|
|
- {
|
|
- return exp(__y * log(__x));
|
|
- }
|
|
-
|
|
- template<typename _Tp>
|
|
- inline complex<_Tp>
|
|
- pow(const _Tp& __x, const complex<_Tp>& __y)
|
|
- {
|
|
- return exp(__y * log(__x));
|
|
- }
|
|
-
|
|
- // 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>;
|
|
- };
|
|
-
|
|
- inline float
|
|
- complex<float>::real() const
|
|
- { return __real__ _M_value; }
|
|
-
|
|
- inline 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);
|
|
-#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>;
|
|
- };
|
|
-
|
|
- inline double
|
|
- complex<double>::real() const
|
|
- { return __real__ _M_value; }
|
|
-
|
|
- inline 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);
|
|
-#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>;
|
|
- };
|
|
-
|
|
- 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() 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)
|
|
- {
|
|
- _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 /* _CPP_COMPLEX */
|