public Polynome Dérivée () {
var poly = new Polynome ();
for (int k = 1; k <= Degré; k++) {
poly.AddCoefficient (k - 1, k * GetCoefficient (k));
}
return poly;
}
public static Polynome operator /(Polynome A, Polynome B) {
var Q = new Polynome ();
while (A.Degré >= B.Degré) {
var C = new Polynome ();
C.AddCoefficient ((A.Degré - B.Degré) * Convert.ToInt32(A.Degré >= B.Degré), A.GetCoefficient (A.Degré) / B.GetCoefficient (B.Degré));
A -= B * C;
Q += C;
}
return Q;
}
public static Polynome operator *(Polynome A, Polynome B) {
var poly = new Polynome ();
for (int k = 0; k <= A.Degré; k++) {
for (int l = 0; l <= B.Degré; l++) {
poly.AddCoefficient (k+l, A.GetCoefficient (k) * B.GetCoefficient (l));
}
}
return poly;
}
public static Polynome operator -(Polynome A, Polynome B) {
var poly = new Polynome ();
for (int k = 0; k <= Math.Max(A.Degré, B.Degré); k++) {
poly.AddCoefficient (k, A.GetCoefficient(k)-B.GetCoefficient(k));
}
return poly;
}