@Test(expectedExceptions = IllegalArgumentException.class) public void testSubtractNull() { F1.subtract(null); }
return DoubleFunction1D.super.subtract(f);
@Override public DoubleFunction1D[] getPolynomials(int n) { ArgChecker.isTrue(n >= 0); DoubleFunction1D[] polynomials = new DoubleFunction1D[n + 1]; for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = F0; } else if (i == 1) { polynomials[i] = polynomials[0].multiply(Math.sqrt(2)).multiply(getX()); } else { polynomials[i] = polynomials[i - 1].multiply(getX()).multiply(Math.sqrt(2. / i)) .subtract(polynomials[i - 2].multiply(Math.sqrt((i - 1.) / i))); } } return polynomials; }
/** * Gets the polynomials. * * @param n the n value * @param alpha the alpha value * @return the result */ public DoubleFunction1D[] getPolynomials(int n, double alpha) { ArgChecker.isTrue(n >= 0); DoubleFunction1D[] polynomials = new DoubleFunction1D[n + 1]; for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = getOne(); } else if (i == 1) { polynomials[i] = new RealPolynomialFunction1D(new double[] {1 + alpha, -1}); } else { polynomials[i] = (polynomials[i - 1].multiply(2. * i + alpha - 1).subtract(polynomials[i - 1].multiply(getX())) .subtract(polynomials[i - 2].multiply((i - 1. + alpha))).divide(i)); } } return polynomials; }
@Override public DoubleFunction1D[] getPolynomials(int n) { ArgChecker.isTrue(n >= 0); DoubleFunction1D[] polynomials = new DoubleFunction1D[n + 1]; for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = getOne(); } else if (i == 1) { polynomials[i] = TWO_X; } else { polynomials[i] = polynomials[i - 1] .multiply(2) .multiply(getX()) .subtract(polynomials[i - 2].multiply(2 * i - 2)); } } return polynomials; }
@Override public Pair<DoubleFunction1D, DoubleFunction1D>[] getPolynomialsAndFirstDerivative(int n) { ArgChecker.isTrue(n >= 0); @SuppressWarnings("unchecked") Pair<DoubleFunction1D, DoubleFunction1D>[] polynomials = new Pair[n + 1]; DoubleFunction1D p, dp, p1, p2; double sqrt2 = Math.sqrt(2); DoubleFunction1D x = getX(); for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = Pair.of((DoubleFunction1D) F0, getZero()); } else if (i == 1) { polynomials[i] = Pair.of(polynomials[0].getFirst().multiply(sqrt2).multiply(x), (DoubleFunction1D) DF1); } else { p1 = polynomials[i - 1].getFirst(); p2 = polynomials[i - 2].getFirst(); p = p1.multiply(x).multiply(Math.sqrt(2. / i)).subtract(p2.multiply(Math.sqrt((i - 1.) / i))); dp = p1.multiply(Math.sqrt(2 * i)); polynomials[i] = Pair.of(p, dp); } } return polynomials; }
/** * Gets the polynomials and derivative. * * @param n the n value * @param alpha the alpha value * @return the result */ public Pair<DoubleFunction1D, DoubleFunction1D>[] getPolynomialsAndFirstDerivative(int n, double alpha) { ArgChecker.isTrue(n >= 0); @SuppressWarnings("unchecked") Pair<DoubleFunction1D, DoubleFunction1D>[] polynomials = new Pair[n + 1]; DoubleFunction1D p, dp, p1, p2; for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = Pair.of(getOne(), getZero()); } else if (i == 1) { polynomials[i] = Pair.of(F1, DF1); } else { p1 = polynomials[i - 1].getFirst(); p2 = polynomials[i - 2].getFirst(); p = (p1.multiply(2. * i + alpha - 1).subtract(p1.multiply(getX())).subtract(p2.multiply((i - 1. + alpha))).divide(i)); dp = (p.multiply(i).subtract(p1.multiply(i + alpha))).divide(getX()); polynomials[i] = Pair.of(p, dp); } } return polynomials; }
@Override public DoubleFunction1D[] getPolynomials(int n) { ArgChecker.isTrue(n >= 0); DoubleFunction1D[] polynomials = new DoubleFunction1D[n + 1]; for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = getOne(); } else if (i == 1) { polynomials[i] = getX(); } else { polynomials[i] = (polynomials[i - 1] .multiply(getX()) .multiply(2 * i - 1) .subtract(polynomials[i - 2].multiply(i - 1))).multiply(1. / i); } } return polynomials; }
@Override public Pair<DoubleFunction1D, DoubleFunction1D>[] getPolynomialsAndFirstDerivative(int n) { ArgChecker.isTrue(n >= 0); @SuppressWarnings("unchecked") Pair<DoubleFunction1D, DoubleFunction1D>[] polynomials = new Pair[n + 1]; DoubleFunction1D p, dp; for (int i = 0; i <= n; i++) { if (i == 0) { polynomials[i] = Pair.of(getOne(), getZero()); } else if (i == 1) { polynomials[i] = Pair.of(getX(), getOne()); } else { p = (polynomials[i - 1].getFirst() .multiply(getX()) .multiply(2 * i - 1) .subtract(polynomials[i - 2].getFirst().multiply(i - 1))).multiply(1. / i); dp = p.derivative(); polynomials[i] = Pair.of(p, dp); } } return polynomials; }