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/* */
/* Centre for Speech Technology Research */
/* University of Edinburgh, UK */
/* Copyright (c) 1997 */
/* All Rights Reserved. */
/* */
/* Permission is hereby granted, free of charge, to use and distribute */
/* this software and its documentation without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of this work, and to */
/* permit persons to whom this work is furnished to do so, subject to */
/* the following conditions: */
/* 1. The code must retain the above copyright notice, this list of */
/* conditions and the following disclaimer. */
/* 2. Any modifications must be clearly marked as such. */
/* 3. Original authors' names are not deleted. */
/* 4. The authors' names are not used to endorse or promote products */
/* derived from this software without specific prior written */
/* permission. */
/* */
/* THE UNIVERSITY OF EDINBURGH AND THE CONTRIBUTORS TO THIS WORK */
/* DISCLAIM ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING */
/* ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT */
/* SHALL THE UNIVERSITY OF EDINBURGH NOR THE CONTRIBUTORS BE LIABLE */
/* FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES */
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/* */
/*************************************************************************/
/* Author : Paul Taylor (pault@cstr.ed.ac.uk) */
/* Date : December 1997 */
/*-----------------------------------------------------------------------*/
/* */
/* */
/*************************************************************************/
#ifndef __EST_COMPLEX_H__
#define __EST_COMPLEX_H__
#include <iostream>
#include <cmath>
using namespace std;
#ifndef PI
#define PI 3.14159265358979323846
#endif
/** A class for complex numbers. The class stores the values as
cartesian real and imaginary parts, but these can be read as polar
coordinates using the {\tt mag()} and {\tt ang()} functions. Addition,
subtraction, multiplication and division are supported. */
class EST_Complex {
private:
double r;
double i;
public:
/**@name Constructor functions */
//@{
/// default constructor, initialises values to 0.0
EST_Complex() {r = 0.0; i = 0.0;}
/// Constructor initialising real and imaginary parts
EST_Complex(double real, double imag)
{ r = real; i = imag;}
//@}
/// Polar magnitude, read only
double mag() const
{ return(sqrt(r*r+i*i)); }
/// Polar angle, read only
double ang(int degrees=0) const {
double a;
if ( r == 0. && i == 0. ) a = 0.0;
else if ( r >= 0. ) a = atan(i/r);
else if ( i >= 0. ) a = atan(i/r) + PI;
else a = atan(i/r) - PI;
return (degrees == 1) ? (a * 180 / PI) : a;
}
/// The real part - can be used for reading or writing
double &real() {return r;}
/// The imaginary part - can be used for reading or writing
double &imag() {return i;}
friend EST_Complex operator + (const EST_Complex& z1, const EST_Complex &z2);
friend EST_Complex operator + (const EST_Complex &z, float x);
friend EST_Complex operator + (float x, const EST_Complex &z);
friend EST_Complex operator - (const EST_Complex &z1, const EST_Complex &z2);
friend EST_Complex operator - (const EST_Complex &z, float x);
friend EST_Complex operator - (float x, const EST_Complex &z);
friend EST_Complex operator * (const EST_Complex &z1, const EST_Complex &z2);
friend EST_Complex operator * (const EST_Complex &z, float x);
friend EST_Complex operator * (float x, const EST_Complex &z);
friend EST_Complex operator / (const EST_Complex &z1, const EST_Complex &z2);
friend EST_Complex operator / (const EST_Complex &z, float x);
friend EST_Complex operator / (float x, const EST_Complex &z);
friend ostream& operator<< (ostream& s, const EST_Complex& a)
{ s << a.r << " " << a.i; return s;}
};
#endif
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