mirror of
https://git.FreeBSD.org/src.git
synced 2024-12-16 10:20:30 +00:00
274 lines
6.9 KiB
C++
274 lines
6.9 KiB
C++
// Member templates 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.
|
|
|
|
#include <complex>
|
|
|
|
extern "C++" {
|
|
template <class FLOAT> complex<FLOAT>
|
|
cos (const complex<FLOAT>& x)
|
|
{
|
|
return complex<FLOAT> (cos (real (x)) * cosh (imag (x)),
|
|
- sin (real (x)) * sinh (imag (x)));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
cosh (const complex<FLOAT>& x)
|
|
{
|
|
return complex<FLOAT> (cosh (real (x)) * cos (imag (x)),
|
|
sinh (real (x)) * sin (imag (x)));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
exp (const complex<FLOAT>& x)
|
|
{
|
|
return polar (FLOAT (exp (real (x))), imag (x));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
log (const complex<FLOAT>& x)
|
|
{
|
|
return complex<FLOAT> (log (abs (x)), arg (x));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
pow (const complex<FLOAT>& x, const complex<FLOAT>& y)
|
|
{
|
|
FLOAT logr = log (abs (x));
|
|
FLOAT t = arg (x);
|
|
|
|
return polar (FLOAT (exp (logr * real (y) - imag (y) * t)),
|
|
FLOAT (imag (y) * logr + real (y) * t));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
pow (const complex<FLOAT>& x, FLOAT y)
|
|
{
|
|
return exp (FLOAT (y) * log (x));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
pow (FLOAT x, const complex<FLOAT>& y)
|
|
{
|
|
return exp (y * FLOAT (log (x)));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
sin (const complex<FLOAT>& x)
|
|
{
|
|
return complex<FLOAT> (sin (real (x)) * cosh (imag (x)),
|
|
cos (real (x)) * sinh (imag (x)));
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
sinh (const complex<FLOAT>& x)
|
|
{
|
|
return complex<FLOAT> (sinh (real (x)) * cos (imag (x)),
|
|
cosh (real (x)) * sin (imag (x)));
|
|
}
|
|
|
|
#include <iostream.h>
|
|
|
|
template <class FLOAT> istream&
|
|
operator >> (istream& is, complex<FLOAT>& x)
|
|
{
|
|
FLOAT re, im = 0;
|
|
char ch = 0;
|
|
|
|
if (is.ipfx0 ())
|
|
{
|
|
if (is.peek () == '(')
|
|
is >> ch;
|
|
is >> re;
|
|
if (ch == '(')
|
|
{
|
|
is >> ch;
|
|
if (ch == ',')
|
|
is >> im >> ch;
|
|
}
|
|
}
|
|
is.isfx ();
|
|
|
|
if (ch != 0 && ch != ')')
|
|
is.setstate (ios::failbit);
|
|
else if (is.good ())
|
|
x = complex<FLOAT> (re, im);
|
|
|
|
return is;
|
|
}
|
|
|
|
template <class FLOAT> ostream&
|
|
operator << (ostream& os, const complex<FLOAT>& x)
|
|
{
|
|
return os << '(' << real (x) << ',' << imag (x) << ')';
|
|
}
|
|
|
|
// The code below is adapted from f2c's libF77, and is subject to this
|
|
// copyright:
|
|
|
|
/****************************************************************
|
|
Copyright 1990, 1991, 1992, 1993 by AT&T Bell Laboratories and Bellcore.
|
|
|
|
Permission to use, copy, modify, and distribute this software
|
|
and its documentation for any purpose and without fee is hereby
|
|
granted, provided that the above copyright notice appear in all
|
|
copies and that both that the copyright notice and this
|
|
permission notice and warranty disclaimer appear in supporting
|
|
documentation, and that the names of AT&T Bell Laboratories or
|
|
Bellcore or any of their entities not be used in advertising or
|
|
publicity pertaining to distribution of the software without
|
|
specific, written prior permission.
|
|
|
|
AT&T and Bellcore disclaim all warranties with regard to this
|
|
software, including all implied warranties of merchantability
|
|
and fitness. In no event shall AT&T or Bellcore be liable for
|
|
any special, indirect or consequential damages or any damages
|
|
whatsoever resulting from loss of use, data or profits, whether
|
|
in an action of contract, negligence or other tortious action,
|
|
arising out of or in connection with the use or performance of
|
|
this software.
|
|
****************************************************************/
|
|
|
|
template <class FLOAT> complex<FLOAT>&
|
|
__doadv (complex<FLOAT>* ths, const complex<FLOAT>& y)
|
|
{
|
|
FLOAT ar = abs (y.re);
|
|
FLOAT ai = abs (y.im);
|
|
FLOAT nr, ni;
|
|
FLOAT t, d;
|
|
if (ar <= ai)
|
|
{
|
|
t = y.re / y.im;
|
|
d = y.im * (1 + t*t);
|
|
nr = (ths->re * t + ths->im) / d;
|
|
ni = (ths->im * t - ths->re) / d;
|
|
}
|
|
else
|
|
{
|
|
t = y.im / y.re;
|
|
d = y.re * (1 + t*t);
|
|
nr = (ths->re + ths->im * t) / d;
|
|
ni = (ths->im - ths->re * t) / d;
|
|
}
|
|
ths->re = nr;
|
|
ths->im = ni;
|
|
return *ths;
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
operator / (const complex<FLOAT>& x, const complex<FLOAT>& y)
|
|
{
|
|
FLOAT ar = abs (real (y));
|
|
FLOAT ai = abs (imag (y));
|
|
FLOAT nr, ni;
|
|
FLOAT t, d;
|
|
if (ar <= ai)
|
|
{
|
|
t = real (y) / imag (y);
|
|
d = imag (y) * (1 + t*t);
|
|
nr = (real (x) * t + imag (x)) / d;
|
|
ni = (imag (x) * t - real (x)) / d;
|
|
}
|
|
else
|
|
{
|
|
t = imag (y) / real (y);
|
|
d = real (y) * (1 + t*t);
|
|
nr = (real (x) + imag (x) * t) / d;
|
|
ni = (imag (x) - real (x) * t) / d;
|
|
}
|
|
return complex<FLOAT> (nr, ni);
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
operator / (FLOAT x, const complex<FLOAT>& y)
|
|
{
|
|
FLOAT ar = abs (real (y));
|
|
FLOAT ai = abs (imag (y));
|
|
FLOAT nr, ni;
|
|
FLOAT t, d;
|
|
if (ar <= ai)
|
|
{
|
|
t = real (y) / imag (y);
|
|
d = imag (y) * (1 + t*t);
|
|
nr = x * t / d;
|
|
ni = -x / d;
|
|
}
|
|
else
|
|
{
|
|
t = imag (y) / real (y);
|
|
d = real (y) * (1 + t*t);
|
|
nr = x / d;
|
|
ni = -x * t / d;
|
|
}
|
|
return complex<FLOAT> (nr, ni);
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
pow (const complex<FLOAT>& xin, int y)
|
|
{
|
|
if (y == 0)
|
|
return complex<FLOAT> (1.0);
|
|
complex<FLOAT> r (1.0);
|
|
complex<FLOAT> x (xin);
|
|
if (y < 0)
|
|
{
|
|
y = -y;
|
|
x = FLOAT(1)/x;
|
|
}
|
|
for (;;)
|
|
{
|
|
if (y & 1)
|
|
r *= x;
|
|
if (y >>= 1)
|
|
x *= x;
|
|
else
|
|
return r;
|
|
}
|
|
}
|
|
|
|
template <class FLOAT> complex<FLOAT>
|
|
sqrt (const complex<FLOAT>& x)
|
|
{
|
|
FLOAT r = abs (x);
|
|
FLOAT nr, ni;
|
|
if (r == 0.0)
|
|
nr = ni = r;
|
|
else if (real (x) > 0)
|
|
{
|
|
nr = sqrt (0.5 * (r + real (x)));
|
|
ni = imag (x) / nr / 2;
|
|
}
|
|
else
|
|
{
|
|
ni = sqrt (0.5 * (r - real (x)));
|
|
if (imag (x) < 0)
|
|
ni = - ni;
|
|
nr = imag (x) / ni / 2;
|
|
}
|
|
return complex<FLOAT> (nr, ni);
|
|
}
|
|
} // extern "C++"
|