@Test public void testChebyshevDifferentials() { for (int k = 0; k < 12; ++k) { PolynomialFunction Tk0 = PolynomialsUtils.createChebyshevPolynomial(k); PolynomialFunction Tk1 = Tk0.polynomialDerivative(); PolynomialFunction Tk2 = Tk1.polynomialDerivative(); PolynomialFunction g0 = new PolynomialFunction(new double[] {k * k}); PolynomialFunction g1 = new PolynomialFunction(new double[] {0, -1}); PolynomialFunction g2 = new PolynomialFunction(new double[] {1, 0, -1}); PolynomialFunction Tk0g0 = Tk0.multiply(g0); PolynomialFunction Tk1g1 = Tk1.multiply(g1); PolynomialFunction Tk2g2 = Tk2.multiply(g2); checkNullPolynomial(Tk0g0.add(Tk1g1.add(Tk2g2))); } }
@Test public void testLaguerreDifferentials() { for (int k = 0; k < 12; ++k) { PolynomialFunction Lk0 = PolynomialsUtils.createLaguerrePolynomial(k); PolynomialFunction Lk1 = Lk0.polynomialDerivative(); PolynomialFunction Lk2 = Lk1.polynomialDerivative(); PolynomialFunction g0 = new PolynomialFunction(new double[] {k}); PolynomialFunction g1 = new PolynomialFunction(new double[] {1, -1}); PolynomialFunction g2 = new PolynomialFunction(new double[] {0, 1}); PolynomialFunction Lk0g0 = Lk0.multiply(g0); PolynomialFunction Lk1g1 = Lk1.multiply(g1); PolynomialFunction Lk2g2 = Lk2.multiply(g2); checkNullPolynomial(Lk0g0.add(Lk1g1.add(Lk2g2))); } }
@Test public void testLegendreDifferentials() { for (int k = 0; k < 12; ++k) { PolynomialFunction Pk0 = PolynomialsUtils.createLegendrePolynomial(k); PolynomialFunction Pk1 = Pk0.polynomialDerivative(); PolynomialFunction Pk2 = Pk1.polynomialDerivative(); PolynomialFunction g0 = new PolynomialFunction(new double[] {k * (k + 1)}); PolynomialFunction g1 = new PolynomialFunction(new double[] {0, -2}); PolynomialFunction g2 = new PolynomialFunction(new double[] {1, 0, -1}); PolynomialFunction Pk0g0 = Pk0.multiply(g0); PolynomialFunction Pk1g1 = Pk1.multiply(g1); PolynomialFunction Pk2g2 = Pk2.multiply(g2); checkNullPolynomial(Pk0g0.add(Pk1g1.add(Pk2g2))); } }
@Test public void testHermiteDifferentials() { for (int k = 0; k < 12; ++k) { PolynomialFunction Hk0 = PolynomialsUtils.createHermitePolynomial(k); PolynomialFunction Hk1 = Hk0.polynomialDerivative(); PolynomialFunction Hk2 = Hk1.polynomialDerivative(); PolynomialFunction g0 = new PolynomialFunction(new double[] {2 * k}); PolynomialFunction g1 = new PolynomialFunction(new double[] {0, -2}); PolynomialFunction g2 = new PolynomialFunction(new double[] {1}); PolynomialFunction Hk0g0 = Hk0.multiply(g0); PolynomialFunction Hk1g1 = Hk1.multiply(g1); PolynomialFunction Hk2g2 = Hk2.multiply(g2); checkNullPolynomial(Hk0g0.add(Hk1g1.add(Hk2g2))); } }