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package com.cyngn.audiofx.widget;
/**
* Java support for complex numbers.
*
* @author alankila
*/
public class Complex {
private final double mReal, mIm;
public Complex(double real, double im) {
mReal = real;
mIm = im;
}
/**
* Length of complex number
*
* @return length
*/
public double rho() {
return Math.sqrt(mReal * mReal + mIm * mIm);
}
/**
* Argument of complex number
*
* @return angle in radians
*/
public double theta() {
return Math.atan2(mIm, mReal);
}
/**
* Complex conjugate
*
* @return conjugate
*/
public Complex con() {
return new Complex(mReal, -mIm);
}
/**
* Complex addition
*
* @param other
* @return sum
*/
public Complex add(Complex other) {
return new Complex(mReal + other.mReal, mIm + other.mIm);
}
/**
* Complex multipply
*
* @param other
* @return multiplication result
*/
public Complex mul(Complex other) {
return new Complex(mReal * other.mReal - mIm * other.mIm,
mReal * other.mIm + mIm * other.mReal);
}
/**
* Complex multiply with real value
*
* @param a
* @return multiplication result
*/
public Complex mul(double a) {
return new Complex(mReal * a, mIm * a);
}
/**
* Complex division
*
* @param other
* @return division result
*/
public Complex div(Complex other) {
double lengthSquared = other.mReal * other.mReal + other.mIm * other.mIm;
return mul(other.con()).div(lengthSquared);
}
/**
* Complex division with real value
*
* @param a
* @return division result
*/
public Complex div(double a) {
return new Complex(mReal / a, mIm / a);
}
}
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