public class Ellipse extends Forme {
    private int grandAxe, petitAxe;
    
    public Ellipse(int grandAxe, int petitAxe) {
	this.grandAxe = grandAxe;
	this.petitAxe = petitAxe;
    }
    
    public float perimetre() {  // calcul approche 
	float resultat=0;
	float pcarre = petitAxe * petitAxe;
	float gcarre = grandAxe * grandAxe;
	float sinus, cosinus;
	
	for (int i = 0;i < 1000; i++) {
	    sinus = (float)Math.sin(i * Math.PI/2000);
	    cosinus = (float)Math.cos(i * Math.PI/2000);
	    resultat += Math.sqrt(pcarre * sinus * sinus + gcarre * cosinus * cosinus);
	}
	resultat *= 4 * Math.PI / 2000;
	return resultat;
    }
    
    public float surface()  {
	return (float)Math.PI * petitAxe * grandAxe;
    }

    public String toString() {
	return ("l'ellipse de grand axe " + grandAxe + ", de petit axe " + petitAxe);
    }
}