Class RationalFunctionInterpolation


  • public class RationalFunctionInterpolation
    extends Object
    This class provides methodologies to interpolate given sample points by rational functions, that is, given interpolation points (xi,yi) the class provides a continuous function y = f(x) where
    • f(xi) = yi and
    • for xi < x < xi+1 the function is a fraction of two polynomes f(x) = (sum aj xj) / (sum bk xk).
    This setup comprises linear interpolation (for which the function is C0) and cubic spline interpolation (for which the function is C1).
    Version:
    1.3
    Author:
    Christian Fries
    • Constructor Detail

      • RationalFunctionInterpolation

        public RationalFunctionInterpolation​(double[] points,
                                             RandomVariable[] values)
        Generate a rational function interpolation from a given set of points.
        Parameters:
        points - The array of the xi sample points of a function y=f(x).
        values - The corresponding array of the yi sample values to the sample points xi.
      • RationalFunctionInterpolation

        public RationalFunctionInterpolation​(double[] points,
                                             RandomVariable[] values,
                                             RationalFunctionInterpolation.InterpolationMethod interpolationMethod,
                                             RationalFunctionInterpolation.ExtrapolationMethod extrapolationMethod)
        Generate a rational function interpolation from a given set of points using the specified interpolation and extrapolation method.
        Parameters:
        points - The array of the xi sample points of a function y=f(x).
        values - The corresponding array of the yi sample values to the sample points xi.
        interpolationMethod - The interpolation method to be used.
        extrapolationMethod - The extrapolation method to be used.
    • Method Detail

      • getValue

        public RandomVariable getValue​(double x)
        Get an interpolated value for a given argument x.
        Parameters:
        x - The abscissa at which the interpolation should be performed.
        Returns:
        The interpolated value (ordinate).