@Test
public void testChebyshevBounds() {
for (int k = 0; k < 12; ++k) {
PolynomialFunction Tk = PolynomialsUtils.createChebyshevPolynomial(k);
for (double x = -1; x <= 1; x += 0.02) {
Assert.assertTrue(k + " " + Tk.value(x), FastMath.abs(Tk.value(x)) < (1 + 1e-12));
}
}
}
@Test
public void testJacobiEvaluationAt1() {
for (int v = 0; v < 10; ++v) {
for (int w = 0; w < 10; ++w) {
for (int i = 0; i < 10; ++i) {
PolynomialFunction jacobi = PolynomialsUtils.createJacobiPolynomial(i, v, w);
double binomial = CombinatoricsUtils.binomialCoefficient(v + i, i);
Assert.assertTrue(Precision.equals(binomial, jacobi.value(1.0), 1));
}
}
}
}
