public Polynomial differentiate(int order) {
double coef;
double power;
Polynomial result = new Polynomial();
Polynomial derivTerm;
for (Map.Entry<Double, Double> e : this.entrySet()) {
coef = e.getValue();
power = e.getKey();
if (order <= power) {
derivTerm =
new Polynomial(
new double[][] {{power - order, coef * numutil.MathTools.binomNum(power, order)}});
result = result.add(derivTerm);
}
}
return result;
}
public Polynomial antiderivative(int order) {
double coef;
double power;
Polynomial result = new Polynomial();
Polynomial antiderivTerm;
// for each term, raise its power by order amount and divide coefficient by
// (order+power)!/power!
for (Map.Entry<Double, Double> e : this.entrySet()) {
coef = e.getValue();
power = e.getKey();
antiderivTerm =
new Polynomial(
new double[][] {
{power + order, coef / numutil.MathTools.binomNum(power + order, order)}
});
result = result.add(antiderivTerm);
}
return result;
}