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/*
dsp/complex.h
Copyright 2003-12 tim goetze <tim@quitte.de>
http://quitte.de/dsp/
complex algebra
*/
/*
This program 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 3
of the License, or (at your option) any later version.
This program 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 program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA
02111-1307, USA or point your web browser to http://www.gnu.org.
*/
#ifndef COMPLEX_H
#define COMPLEX_H
namespace DSP {
class complex
{
public:
double re, im;
complex() { }
complex (double r, double i=0) { re = r; im = i; }
void operator = (double r) { re = r; im = 0; }
double abs() { return sqrt(_squared()); }
double _squared() { return re*re + im*im; }
static inline complex polar (double phi, double mag=1)
{ return complex (mag*cos(phi), mag*sin(phi)); }
inline complex exp()
{
double r = ::exp(re);
return complex (r*cos(im), r*sin(im));
}
inline complex conj()
{ return complex (re,-im); }
};
inline complex
operator * (double a, complex z)
{
z.re *= a;
z.im *= a;
return z;
}
inline complex
operator * (complex z1, complex z2)
{
return complex (
z1.re * z2.re - z1.im * z2.im,
z1.re * z2.im + z1.im * z2.re);
}
inline complex
operator / (complex z1, complex z2)
{
double m = z2.re * z2.re + z2.im * z2.im;
return complex (
((z1.re * z2.re) + (z1.im * z2.im)) / m,
((z1.re * z2.im) - (z1.im * z2.re)) / m);
}
inline complex
operator / (complex z, double a)
{
z.re /= a;
z.im /= a;
return z;
}
inline void
operator /= (complex &z, double a)
{
z = z / a;
}
inline complex
operator + (complex z1, complex z2)
{
z1.re += z2.re;
z1.im += z2.im;
return z1;
}
inline complex
operator - (complex z1, complex z2)
{
z1.re -= z2.re;
z1.im -= z2.im;
return z1;
}
inline complex
operator - (complex z)
{
return 0.0 - z;
}
/* */
inline complex
expj (double theta)
{
return complex (cos (theta), sin (theta));
}
inline double
hypot (complex z)
{
return ::hypot (z.im, z.re);
}
} /* namespace DSP */
#endif /* COMPLEX_H */
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