package src;

public class MyComplex {

    private double real;
    private double imag;

    public MyComplex(double real, double imag) {
        this.real = real;
        this.imag = imag;
    }

    public double getReal() {
        return this.real;
    }

    public void setReal(double real) {
        this.real = real;
    }

    public double getImag() {
        return this.imag;
    }

    public void setImag(double imag) {
        this.imag = imag;
    }

    public void setValue(double real, double imag) {
        this.real = real;
        this.imag = imag;
    }

    public boolean isReal() {
        return (imag == 0);
    }

    public boolean isImaginary() {
        return (real == 0);
    }

    public boolean equals(double real, double imag) {
        return (this.real == real && this.imag == imag);
    }

    public boolean equals(MyComplex another) {
        double epsilon = 10E-8;
        return (real - another.getReal() <= epsilon && imag - another.getImag() <= epsilon);
    }

    public double magnitude() {
        return Math.sqrt(real*real + imag*imag);
    }

    public double argumentInRadians() {
        return Math.atan2(imag, real);
    }

    public int argumentInDegrees() {
        return 0;        
    }

    public MyComplex conjugate() {
        return new MyComplex(real, -imag);
    }

    public MyComplex add(MyComplex another) {
        return new MyComplex(real+another.getReal(), imag+another.getImag());
    }

    public MyComplex substract(MyComplex another) {
        return new MyComplex(real-another.getReal(), imag-another.getImag());
    }

    public MyComplex multiplyWith(MyComplex another) {
        // (ac - bd) + (ad + bc)i
        real = real*another.getReal() - imag*another.getImag();
        imag = real*another.getImag() + imag*another.getReal();
        return this;
    }

    public MyComplex divideBy(MyComplex another) {
        // [(a + bi) * (c – di)] / (c2 + d2)
        MyComplex tmp = multiplyWith(another.conjugate());
        double delimiter = another.getReal()*another.getReal() + another.getImag()*another.getImag();
        if (delimiter != 0) {
            real = tmp.getReal() / delimiter;
            imag = tmp.getImag() / delimiter;
        }
        return this;
    }

    public String toString() {
        return "("+real +" + "+ imag+"i)" ;
    }
}