401 lines
11 KiB
C++
401 lines
11 KiB
C++
// The template and inlines for the -*- C++ -*- complex number classes.
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// Copyright (C) 1994 Free Software Foundation
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// This file is part of the GNU ANSI C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the terms of
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// the GNU General Public License as published by the Free Software
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// Foundation; either version 2, or (at your option) any later version.
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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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// You should have received a copy of the GNU General Public License
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// along 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, USA.
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// As a special exception, if you link this library with files compiled
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// with a GNU compiler to produce an executable, this does not cause the
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// resulting executable to be covered by the GNU General Public License.
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// This exception does not however invalidate any other reasons why the
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// executable file might be covered by the GNU General Public License.
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// Written by Jason Merrill based upon the specification in the 27 May 1994
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// C++ working paper, ANSI document X3J16/94-0098.
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#ifndef __COMPLEXT__
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#define __COMPLEXT__
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#ifdef __GNUG__
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#pragma interface
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#endif
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#include <cmath>
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#if ! defined (__GNUG__) && ! defined (__attribute__)
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#define __attribute__(foo) /* Ignore. */
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#endif
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class istream;
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class ostream;
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extern "C++" {
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template <class _FLT> class complex;
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template <class _FLT> complex<_FLT>&
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__doapl (complex<_FLT>* ths, const complex<_FLT>& r);
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template <class _FLT> complex<_FLT>&
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__doami (complex<_FLT>* ths, const complex<_FLT>& r);
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template <class _FLT> complex<_FLT>&
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__doaml (complex<_FLT>* ths, const complex<_FLT>& r);
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template <class _FLT> complex<_FLT>&
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__doadv (complex<_FLT>* ths, const complex<_FLT>& r);
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template <class _FLT>
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class complex
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{
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public:
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complex (_FLT r = 0, _FLT i = 0): re (r), im (i) { }
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complex& operator += (const complex&);
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complex& operator -= (const complex&);
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complex& operator *= (const complex&);
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complex& operator /= (const complex&);
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_FLT real () const { return re; }
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_FLT imag () const { return im; }
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private:
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_FLT re, im;
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friend complex& __doapl<> (complex *, const complex&);
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friend complex& __doami<> (complex *, const complex&);
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friend complex& __doaml<> (complex *, const complex&);
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friend complex& __doadv<> (complex *, const complex&);
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};
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// Declare specializations.
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class complex<float>;
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class complex<double>;
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class complex<long double>;
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template <class _FLT>
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inline complex<_FLT>&
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__doapl (complex<_FLT>* ths, const complex<_FLT>& r)
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{
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ths->re += r.re;
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ths->im += r.im;
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return *ths;
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}
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template <class _FLT>
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inline complex<_FLT>&
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complex<_FLT>::operator += (const complex<_FLT>& r)
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{
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return __doapl (this, r);
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}
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template <class _FLT>
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inline complex<_FLT>&
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__doami (complex<_FLT>* ths, const complex<_FLT>& r)
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{
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ths->re -= r.re;
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ths->im -= r.im;
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return *ths;
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}
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template <class _FLT>
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inline complex<_FLT>&
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complex<_FLT>::operator -= (const complex<_FLT>& r)
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{
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return __doami (this, r);
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}
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template <class _FLT>
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inline complex<_FLT>&
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__doaml (complex<_FLT>* ths, const complex<_FLT>& r)
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{
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_FLT f = ths->re * r.re - ths->im * r.im;
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ths->im = ths->re * r.im + ths->im * r.re;
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ths->re = f;
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return *ths;
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}
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template <class _FLT>
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inline complex<_FLT>&
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complex<_FLT>::operator *= (const complex<_FLT>& r)
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{
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return __doaml (this, r);
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}
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template <class _FLT>
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inline complex<_FLT>&
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complex<_FLT>::operator /= (const complex<_FLT>& r)
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{
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return __doadv (this, r);
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}
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template <class _FLT> inline _FLT
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imag (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline _FLT
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imag (const complex<_FLT>& x)
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{
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return x.imag ();
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}
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template <class _FLT> inline _FLT
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real (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline _FLT
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real (const complex<_FLT>& x)
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{
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return x.real ();
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}
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template <class _FLT> inline complex<_FLT>
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operator + (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator + (const complex<_FLT>& x, const complex<_FLT>& y)
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{
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return complex<_FLT> (real (x) + real (y), imag (x) + imag (y));
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}
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template <class _FLT> inline complex<_FLT>
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operator + (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator + (const complex<_FLT>& x, _FLT y)
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{
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return complex<_FLT> (real (x) + y, imag (x));
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}
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template <class _FLT> inline complex<_FLT>
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operator + (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator + (_FLT x, const complex<_FLT>& y)
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{
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return complex<_FLT> (x + real (y), imag (y));
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}
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template <class _FLT> inline complex<_FLT>
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operator - (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator - (const complex<_FLT>& x, const complex<_FLT>& y)
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{
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return complex<_FLT> (real (x) - real (y), imag (x) - imag (y));
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}
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template <class _FLT> inline complex<_FLT>
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operator - (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator - (const complex<_FLT>& x, _FLT y)
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{
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return complex<_FLT> (real (x) - y, imag (x));
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}
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template <class _FLT> inline complex<_FLT>
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operator - (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator - (_FLT x, const complex<_FLT>& y)
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{
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return complex<_FLT> (x - real (y), - imag (y));
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}
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template <class _FLT> inline complex<_FLT>
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operator * (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator * (const complex<_FLT>& x, const complex<_FLT>& y)
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{
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return complex<_FLT> (real (x) * real (y) - imag (x) * imag (y),
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real (x) * imag (y) + imag (x) * real (y));
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}
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template <class _FLT> inline complex<_FLT>
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operator * (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator * (const complex<_FLT>& x, _FLT y)
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{
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return complex<_FLT> (real (x) * y, imag (x) * y);
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}
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template <class _FLT> inline complex<_FLT>
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operator * (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator * (_FLT x, const complex<_FLT>& y)
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{
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return complex<_FLT> (x * real (y), x * imag (y));
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}
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template <class _FLT> complex<_FLT>
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operator / (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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operator / (const complex<_FLT>& x, _FLT y)
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{
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return complex<_FLT> (real (x) / y, imag (x) / y);
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}
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template <class _FLT> inline complex<_FLT>
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operator + (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator + (const complex<_FLT>& x)
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{
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return x;
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}
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template <class _FLT> inline complex<_FLT>
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operator - (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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operator - (const complex<_FLT>& x)
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{
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return complex<_FLT> (-real (x), -imag (x));
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}
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template <class _FLT> inline bool
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operator == (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline bool
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operator == (const complex<_FLT>& x, const complex<_FLT>& y)
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{
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return real (x) == real (y) && imag (x) == imag (y);
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}
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template <class _FLT> inline bool
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operator == (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
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template <class _FLT> inline bool
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operator == (const complex<_FLT>& x, _FLT y)
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{
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return real (x) == y && imag (x) == 0;
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}
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template <class _FLT> inline bool
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operator == (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline bool
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operator == (_FLT x, const complex<_FLT>& y)
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{
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return x == real (y) && imag (y) == 0;
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}
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template <class _FLT> inline bool
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operator != (const complex<_FLT>& x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline bool
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operator != (const complex<_FLT>& x, const complex<_FLT>& y)
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{
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return real (x) != real (y) || imag (x) != imag (y);
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}
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template <class _FLT> inline bool
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operator != (const complex<_FLT>& x, _FLT y) __attribute__ ((const));
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template <class _FLT> inline bool
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operator != (const complex<_FLT>& x, _FLT y)
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{
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return real (x) != y || imag (x) != 0;
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}
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template <class _FLT> inline bool
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operator != (_FLT x, const complex<_FLT>& y) __attribute__ ((const));
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template <class _FLT> inline bool
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operator != (_FLT x, const complex<_FLT>& y)
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{
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return x != real (y) || imag (y) != 0;
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}
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// Some targets don't provide a prototype for hypot when -ansi.
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extern "C" double hypot (double, double) __attribute__ ((const));
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template <class _FLT> inline _FLT
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abs (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline _FLT
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abs (const complex<_FLT>& x)
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{
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return hypot (real (x), imag (x));
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}
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template <class _FLT> inline _FLT
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arg (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline _FLT
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arg (const complex<_FLT>& x)
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{
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return atan2 (imag (x), real (x));
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}
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template <class _FLT> inline complex<_FLT>
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polar (_FLT r, _FLT t) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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polar (_FLT r, _FLT t)
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{
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return complex<_FLT> (r * cos (t), r * sin (t));
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}
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template <class _FLT> inline complex<_FLT>
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conj (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline complex<_FLT>
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conj (const complex<_FLT>& x)
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{
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return complex<_FLT> (real (x), -imag (x));
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}
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template <class _FLT> inline _FLT
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norm (const complex<_FLT>& x) __attribute__ ((const));
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template <class _FLT> inline _FLT
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norm (const complex<_FLT>& x)
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{
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return real (x) * real (x) + imag (x) * imag (x);
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}
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// Declarations of templates in complext.ccI
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template <class _FLT> complex<_FLT>
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operator / (const complex<_FLT>&, const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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operator / (_FLT, const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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cos (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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cosh (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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exp (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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log (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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pow (const complex<_FLT>&, const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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pow (const complex<_FLT>&, _FLT) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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pow (const complex<_FLT>&, int) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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pow (_FLT, const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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sin (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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sinh (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> complex<_FLT>
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sqrt (const complex<_FLT>&) __attribute__ ((const));
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template <class _FLT> istream& operator >> (istream&, complex<_FLT>&);
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template <class _FLT> ostream& operator << (ostream&, const complex<_FLT>&);
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} // extern "C++"
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// Specializations and such
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#include <std/fcomplex.h>
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#include <std/dcomplex.h>
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#include <std/ldcomplex.h>
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#endif
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