61 lines
1.8 KiB
Java
61 lines
1.8 KiB
Java
|
package com.jwetherell.algorithms.numbers;
|
|||
|
|
|
|||
|
|
/**
|
|||
|
|
* A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the
|
|||
|
|
* imaginary unit, satisfying the equation i2 = −1.[1] In this expression, a is the real part and b is the imaginary
|
|||
|
|
* part of the complex number. If z=a+bi z=a+bi, then Rz=a, Iz=b.
|
|||
|
|
* <p>
|
|||
|
|
* http://en.wikipedia.org/wiki/Complex_number
|
|||
|
|
* <br>
|
|||
|
|
* @author Mateusz Cianciara <e.cianciara@gmail.com>
|
|||
|
|
* @author Justin Wetherell <phishman3579@gmail.com>
|
|||
|
|
*/
|
|||
|
|
public class Complex {
|
|||
|
|
|
|||
|
|
public double real;
|
|||
|
|
public double imaginary;
|
|||
|
|
|
|||
|
|
public Complex() {
|
|||
|
|
this.real = 0.0;
|
|||
|
|
this.imaginary = 0.0;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public Complex(double r, double i) {
|
|||
|
|
this.real = r;
|
|||
|
|
this.imaginary = i;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public Complex multiply(final Complex x) {
|
|||
|
|
final Complex copy = new Complex(this.real, this.imaginary);
|
|||
|
|
copy.real = this.real * x.real - this.imaginary * x.imaginary;
|
|||
|
|
copy.imaginary = this.imaginary * x.real + this.real * x.imaginary;
|
|||
|
|
return copy;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public Complex add(final Complex x) {
|
|||
|
|
final Complex copy = new Complex(this.real, this.imaginary);
|
|||
|
|
copy.real += x.real;
|
|||
|
|
copy.imaginary += x.imaginary;
|
|||
|
|
return copy;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public Complex sub(final Complex x) {
|
|||
|
|
final Complex copy = new Complex(this.real, this.imaginary);
|
|||
|
|
copy.real -= x.real;
|
|||
|
|
copy.imaginary -= x.imaginary;
|
|||
|
|
return copy;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public double abs() {
|
|||
|
|
return Math.sqrt(this.real * this.real + this.imaginary * this.imaginary);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public String toString() {
|
|||
|
|
return "(" + this.real + "," + this.imaginary + ")";
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
public static Complex polar(final double rho, final double theta) {
|
|||
|
|
return (new Complex(rho * Math.cos(theta), rho * Math.sin(theta)));
|
|||
|
|
}
|
|||
|
|
}
|