public class Complexe implements IComplexe {

    private double reel;
    private double img;

    public Complexe(double reel, double img) {
        this.reel = reel;
        this.img = img;
    }

    public Complexe(){
        this(1, 1);
    }

    public double getReel() {
        return reel;
    }

    public void setReel(double reel) {
        this.reel = reel;
    }

    public double getImg() {
        return img;
    }

    public void setImg(double img) {
        this.img = img;
    }

    @Override
    public boolean estReel() {
        return (img == 0);
    }

    @Override
    public boolean estImaginairePur() {
        boolean ok = false;
        if(img !=0 && reel == 0){
            ok = true;
        }
        return ok;
    }

    @Override
    public double module() {
        return Math.sqrt((reel*reel)*(img*img));
    }

    @Override
    public double argument() {
        double arg;
        if(reel == 0 && img == 0){
            arg = 0;
        } else if (img > 0){
            arg = Math.acos(reel/module());
        }
        else {
            arg = -(Math.acos(reel/module()));
        }
        return arg;

    }

    @Override
    public void additionner(double reel) {
         this.reel += reel;
    }

    @Override
    public void additionner(double reel, double img) {
        this.reel += reel;
        this.img += img;
    }

    @Override
    public void additionner(Complexe ref) {
        this.reel += ref.reel;
        this.img += ref.img;
    }

    @Override
    public void multiplier(double cst) {
        this.reel = this.reel * cst;
        this.img = this.img * cst;
    }

    @Override
    public void multiplier(Complexe ref) {
        this.reel *= reel * ref.reel - img * ref.img;
        this.img *= reel * ref.img + img * ref.reel;
    }

    @Override
    public String tString() {
        String cmp;
        if(reel == 0 && img == 0){
            cmp = "null";
        } else if (img == 0) {
            cmp = String.valueOf(reel);
        } else if (reel == 0) {
            cmp = String.valueOf(img);
        } else if (img < 0) {
           cmp = reel + img + "i";
        }
        else {
            cmp = reel + "+ " + img +"i";
        }
        return cmp;
    }

    @Override
    public void afficher() {
          System.out.print(this);
    }
}