package fr.alnotz.quaternion;

public class Dual implements IsDual{
    private double r;
    private double d;
    public Dual(){
        this.r = 0;
        this.d = 0;
    }
    public Dual(double r, double d){
        this.r = r;
        this.d = d;
    }
    public static Dual plus(IsDual dual0, IsDual dual1){
        return new Dual(dual0.getR() + dual1.getR(), dual0.getD() + dual1.getD());
    }
    public static Dual times(IsDual dual0, IsDual dual1){
        return new Dual(dual0.getR() * dual1.getR(), dual0.getR() * dual1.getD() + dual1.getR() * dual0.getD());
    }
    public static Dual conjugate(IsDual dual){
        return new Dual(dual.getR(), -1 * dual.getD());
    }
    public static boolean equals(IsDual dual0, IsDual dual1){
        return dual0.getR() == dual1.getR() && dual0.getD() == dual1.getD();
    }
    @Override
    public double getR() {
        return this.r;
    }

    @Override
    public double getD() {
        return this.d;
    }

    @Override
    public void setR(double r) {
        this.r = r;
    }

    @Override
    public void setD(double d) {
        this.d = d;
    }

    @Override
    public Dual plus(IsDual dual) {
        return new Dual(this.r + dual.getR(),
                this.d + dual.getD());
    }
    @Override
    public Dual times(IsDual dual) {
        return new Dual(this.r * dual.getR(),
                this.r * dual.getD() + this.d * dual.getR());
    }
    @Override
    public Dual conjugate(){
        return new Dual(this.r, this.d * -1);
    }
    @Override
    public boolean equals(IsDual dual) {
        return this.r == dual.getR() && this.d == dual.getD();
    }
    @Override
    public String toString(){
        return String.format("%+f %+fε\n", this.r, this.d);
    }
}