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