Examples of PolynomialFunctionLagrangeForm

org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm
orld.wolfram.com/LagrangeInterpolatingPolynomial.html"> Lagrange Form. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 2.
The approximated function should be smooth enough for Lagrange polynomial to work well. Otherwise, consider using splines instead.
@version $Revision: 1073498 $ $Date: 2011-02-22 21:57:26 +0100 (mar. 22 févr. 2011) $ @since 1.2
org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm
orld.wolfram.com/LagrangeInterpolatingPolynomial.html"> Lagrange Form. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 2.
The approximated function should be smooth enough for Lagrange polynomial to work well. Otherwise, consider using splines instead.
@since 1.2

Examples of org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm

     * @return a function which interpolates the data set
     * @throws MathException if arguments are invalid
     */
    public PolynomialFunctionLagrangeForm interpolate(double x[], double y[])
        throws MathException {
        return new PolynomialFunctionLagrangeForm(x, y);
    }

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Examples of org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm

     * @return a function which interpolates the data set
     * @throws MathException if arguments are invalid
     */
    public PolynomialFunctionLagrangeForm interpolate(double x[], double y[])
        throws MathException {
        return new PolynomialFunctionLagrangeForm(x, y);
    }

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Examples of org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm

      throw new MathException("Could not get upper bound: index " + upperBound + " must be less than or equal to " + (n + 1));
    }
    final double[] x = Arrays.copyOfRange(keys, lowerBound, upperBound);
    final double[] y = Arrays.copyOfRange(values, lowerBound, upperBound);
    try {
      final PolynomialFunctionLagrangeForm lagrange = _interpolator.interpolate(x, y);
      return CommonsMathWrapper.unwrap(lagrange).evaluate(value);
    } catch (final org.apache.commons.math.MathException e) {
      throw new MathException(e);
    }
  }

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Examples of org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm

    final double[] y = new double[n];
    for (int i = 0; i < n; i++) {
      x[i] = i;
      y[i] = OG_POLYNOMIAL.evaluate(x[i]);
    }
    final Function1D<Double, Double> unwrapped = CommonsMathWrapper.unwrap(new PolynomialFunctionLagrangeForm(x, y));
    for (int i = 0; i < 100; i++) {
      assertEquals(unwrapped.evaluate(i + 0.5), OG_POLYNOMIAL.evaluate(i + 0.5), 1e-9);
    }
  }

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Examples of org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm

     */
    public PolynomialFunctionLagrangeForm interpolate(double x[], double y[])
        throws DimensionMismatchException,
               NumberIsTooSmallException,
               NonMonotonicSequenceException {
        return new PolynomialFunctionLagrangeForm(x, y);
    }

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Examples of org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm

     * the number of points is less than 2.
     * @throws org.apache.commons.math3.exception.NonMonotonicSequenceException
     * if two abscissae have the same value.
     */
    public PolynomialFunctionLagrangeForm interpolate(double x[], double y[]) {
        return new PolynomialFunctionLagrangeForm(x, y);
    }

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Examples of org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm

     */
    public PolynomialFunctionLagrangeForm interpolate(double x[], double y[])
        throws DimensionMismatchException,
               NumberIsTooSmallException,
               NonMonotonicSequenceException {
        return new PolynomialFunctionLagrangeForm(x, y);
    }

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