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// The template and inlines for the -*- C++ -*- complex number classes.
// Copyright (C) 1994 Free Software Foundation
// This file is part of the GNU ANSI 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, if you link this library with files compiled
// with a GNU compiler to produce an executable, this does not 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.
// Written by Jason Merrill based upon the specification in the 27 May 1994
// C++ working paper, ANSI document X3J16/94-0098.
#ifndef __COMPLEXT__
#define __COMPLEXT__
#ifdef __GNUG__
#pragma interface
#endif
#include <cmath>
#if ! defined (__GNUG__) && ! defined (__attribute__)
#define __attribute__(foo) /* Ignore. */
#endif
class istream;
class ostream;
extern "C++" {
template <class _FLT>
class complex
{
public:
complex (_FLT r = 0, _FLT i = 0): re (r), im (i) { }
complex& operator += (const complex&);
complex& operator -= (const complex&);
complex& operator *= (const complex&);
complex& operator /= (const complex&);
_FLT real () const { return re; }
_FLT imag () const { return im; }
private:
_FLT re, im;
friend complex& __doapl (complex *, const complex&);
friend complex& __doami (complex *, const complex&);
friend complex& __doaml (complex *, const complex&);
friend complex& __doadv (complex *, const complex&);
// These functions are specified as friends for purposes of name injection;
// they do not actually reference private members.
friend _FLT real (const complex&) __attribute__ ((const));
friend _FLT imag (const complex&) __attribute__ ((const));
friend complex operator + (const complex&, const complex&) __attribute__ ((const));
friend complex operator + (const complex&, _FLT) __attribute__ ((const));
friend complex operator + (_FLT, const complex&) __attribute__ ((const));
friend complex operator - (const complex&, const complex&) __attribute__ ((const));
friend complex operator - (const complex&, _FLT) __attribute__ ((const));
friend complex operator - (_FLT, const complex&) __attribute__ ((const));
friend complex operator * (const complex&, const complex&) __attribute__ ((const));
friend complex operator * (const complex&, _FLT) __attribute__ ((const));
friend complex operator * (_FLT, const complex&) __attribute__ ((const));
friend complex operator / (const complex&, const complex&) __attribute__ ((const));
friend complex operator / (const complex&, _FLT) __attribute__ ((const));
friend complex operator / (_FLT, const complex&) __attribute__ ((const));
friend bool operator == (const complex&, const complex&) __attribute__ ((const));
friend bool operator == (const complex&, _FLT) __attribute__ ((const));
friend bool operator == (_FLT, const complex&) __attribute__ ((const));
friend bool operator != (const complex&, const complex&) __attribute__ ((const));
friend bool operator != (const complex&, _FLT) __attribute__ ((const));
friend bool operator != (_FLT, const complex&) __attribute__ ((const));
friend complex polar (_FLT, _FLT) __attribute__ ((const));
friend complex pow (const complex&, const complex&) __attribute__ ((const));
friend complex pow (const complex&, _FLT) __attribute__ ((const));
friend complex pow (const complex&, int) __attribute__ ((const));
friend complex pow (_FLT, const complex&) __attribute__ ((const));
friend istream& operator>> (istream&, complex&);
friend ostream& operator<< (ostream&, const complex&);
};
// Declare specializations.
class complex<float>;
class complex<double>;
class complex<long double>;
template <class _FLT>
inline complex<_FLT>&
__doapl (complex<_FLT>* ths, const complex<_FLT>& r)
{
ths->re += r.re;
ths->im += r.im;
return *ths;
}
template <class _FLT>
inline complex<_FLT>&
complex<_FLT>::operator += (const complex<_FLT>& r)
{
return __doapl (this, r);
}
template <class _FLT>
inline complex<_FLT>&
__doami (complex<_FLT>* ths, const complex<_FLT>& r)
{
ths->re -= r.re;
ths->im -= r.im;
return *ths;
}
template <class _FLT>
inline complex<_FLT>&
complex<_FLT>::operator -= (const complex<_FLT>& r)
{
return __doami (this, r);
}
template <class _FLT>
inline complex<_FLT>&
__doaml (complex<_FLT>* ths, const complex<_FLT>& r)
{
_FLT f = ths->re * r.re - ths->im * r.im;
ths->im = ths->re * r.im + ths->im * r.re;
ths->re = f;
return *ths;
}
template <class _FLT>
inline complex<_FLT>&
complex<_FLT>::operator *= (const complex<_FLT>& r)
{
return __doaml (this, r);
}
template <class _FLT> complex<_FLT>&
__doadv (complex<_FLT>* ths, const complex<_FLT>& r);
template <class _FLT>
inline complex<_FLT>&
complex<_FLT>::operator /= (const complex<_FLT>& r)
{
return __doadv (this, r);
}
template <class _FLT> inline _FLT
imag (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline _FLT
imag (const complex<_FLT>& x)
{
return x.imag ();
}
template <class _FLT> inline _FLT
real (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline _FLT
real (const complex<_FLT>& x)
{
return x.real ();
}
template <class _FLT> inline complex<_FLT>
operator + (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator + (const complex<_FLT>& x, const complex<_FLT>& y)
{
return complex<_FLT> (real (x) + real (y), imag (x) + imag (y));
}
template <class _FLT> inline complex<_FLT>
operator + (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator + (const complex<_FLT>& x, _FLT y)
{
return complex<_FLT> (real (x) + y, imag (x));
}
template <class _FLT> inline complex<_FLT>
operator + (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator + (_FLT x, const complex<_FLT>& y)
{
return complex<_FLT> (x + real (y), imag (y));
}
template <class _FLT> inline complex<_FLT>
operator - (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator - (const complex<_FLT>& x, const complex<_FLT>& y)
{
return complex<_FLT> (real (x) - real (y), imag (x) - imag (y));
}
template <class _FLT> inline complex<_FLT>
operator - (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator - (const complex<_FLT>& x, _FLT y)
{
return complex<_FLT> (real (x) - y, imag (x));
}
template <class _FLT> inline complex<_FLT>
operator - (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator - (_FLT x, const complex<_FLT>& y)
{
return complex<_FLT> (x - real (y), - imag (y));
}
template <class _FLT> inline complex<_FLT>
operator * (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator * (const complex<_FLT>& x, const complex<_FLT>& y)
{
return complex<_FLT> (real (x) * real (y) - imag (x) * imag (y),
real (x) * imag (y) + imag (x) * real (y));
}
template <class _FLT> inline complex<_FLT>
operator * (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator * (const complex<_FLT>& x, _FLT y)
{
return complex<_FLT> (real (x) * y, imag (x) * y);
}
template <class _FLT> inline complex<_FLT>
operator * (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator * (_FLT x, const complex<_FLT>& y)
{
return complex<_FLT> (x * real (y), x * imag (y));
}
template <class _FLT> complex<_FLT>
operator / (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
template <class _FLT> complex<_FLT>
operator / (const complex<_FLT>& x, _FLT y)
{
return complex<_FLT> (real (x) / y, imag (x) / y);
}
template <class _FLT> inline complex<_FLT>
operator + (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator + (const complex<_FLT>& x)
{
return x;
}
template <class _FLT> inline complex<_FLT>
operator - (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
operator - (const complex<_FLT>& x)
{
return complex<_FLT> (-real (x), -imag (x));
}
template <class _FLT> inline bool
operator == (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline bool
operator == (const complex<_FLT>& x, const complex<_FLT>& y)
{
return real (x) == real (y) && imag (x) == imag (y);
}
template <class _FLT> inline bool
operator == (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
template <class _FLT> inline bool
operator == (const complex<_FLT>& x, _FLT y)
{
return real (x) == y && imag (x) == 0;
}
template <class _FLT> inline bool
operator == (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline bool
operator == (_FLT x, const complex<_FLT>& y)
{
return x == real (y) && imag (y) == 0;
}
template <class _FLT> inline bool
operator != (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline bool
operator != (const complex<_FLT>& x, const complex<_FLT>& y)
{
return real (x) != real (y) || imag (x) != imag (y);
}
template <class _FLT> inline bool
operator != (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
template <class _FLT> inline bool
operator != (const complex<_FLT>& x, _FLT y)
{
return real (x) != y || imag (x) != 0;
}
template <class _FLT> inline bool
operator != (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
template <class _FLT> inline bool
operator != (_FLT x, const complex<_FLT>& y)
{
return x != real (y) || imag (y) != 0;
}
// Some targets don't provide a prototype for hypot when -ansi.
extern "C" double hypot (double, double) __attribute__ ((const));
template <class _FLT> inline _FLT
abs (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline _FLT
abs (const complex<_FLT>& x)
{
return hypot (real (x), imag (x));
}
template <class _FLT> inline _FLT
arg (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline _FLT
arg (const complex<_FLT>& x)
{
return atan2 (imag (x), real (x));
}
template <class _FLT> inline complex<_FLT>
polar (_FLT r, _FLT t) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
polar (_FLT r, _FLT t)
{
return complex<_FLT> (r * cos (t), r * sin (t));
}
template <class _FLT> inline complex<_FLT>
conj (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline complex<_FLT>
conj (const complex<_FLT>& x)
{
return complex<_FLT> (real (x), -imag (x));
}
template <class _FLT> inline _FLT
norm (const complex<_FLT>& x) __attribute__ ((const));
template <class _FLT> inline _FLT
norm (const complex<_FLT>& x)
{
return real (x) * real (x) + imag (x) * imag (x);
}
// Declarations of templates in complext.ccI
template <class _FLT> complex<_FLT>
operator / (const complex<_FLT>&, const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
operator / (_FLT, const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
cos (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
cosh (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
exp (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
log (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
pow (const complex<_FLT>&, const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
pow (const complex<_FLT>&, _FLT) __attribute__ ((const));
template <class _FLT> complex<_FLT>
pow (const complex<_FLT>&, int) __attribute__ ((const));
template <class _FLT> complex<_FLT>
pow (_FLT, const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
sin (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
sinh (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> complex<_FLT>
sqrt (const complex<_FLT>&) __attribute__ ((const));
template <class _FLT> istream& operator >> (istream&, complex<_FLT>&);
template <class _FLT> ostream& operator << (ostream&, const complex<_FLT>&);
} // extern "C++"
// Specializations and such
#include <std/fcomplex.h>
#include <std/dcomplex.h>
#include <std/ldcomplex.h>
#endif
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