numRecipes

Class Interpolation

java.lang.Object

numRecipes.Interpolation

public class Interpolation
extends java.lang.Object

Utilities to interpolate data points (x_i, y_i) (i=0,...). A function in form of y=f(x) is obtained by a given data points.

Constructor Summary

Constructors

Constructor and Description
Interpolation()

Method Summary

Methods

Modifier and Type	Method and Description
static double	getErrorInPolynominalInterpolate()
static double	mThPolynominalInterpolate(double[] xa, double[] ya, int n, double x, int m) Interpolate with mTh pylinominal function.
static double	polynominalInterpolate(double[] xa, double[] ya, double x) Given arrays xa[0....n-1] and ya[0....n-1], and given a value x, this method returns a value y by the polynominal interpolation.
static int	searchIndex(double[] xx, double x, int n) Search the array index such that x is between xx[index] and xx[index+1].

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Interpolation

public Interpolation()

Method Detail

searchIndex

public static int searchIndex(double[] xx,
              double x,
              int n)

Search the array index such that x is between xx[index] and xx[index+1]. xx must be monotonic, either increasing or decreasing. index =0 or index = n-1 is returned to indicate x is out of range. n gives number of the elements i.e. xx[0....n-1].

polynominalInterpolate

public static double polynominalInterpolate(double[] xa,
                            double[] ya,
                            double x)

Given arrays xa[0....n-1] and ya[0....n-1], and given a value x, this method returns a value y by the polynominal interpolation. Number of data ponts n is qeual to the plynominal of degree.

getErrorInPolynominalInterpolate

public static double getErrorInPolynominalInterpolate()

mThPolynominalInterpolate

public static double mThPolynominalInterpolate(double[] xa,
                               double[] ya,
                               int n,
                               double x,
                               int m)

Interpolate with mTh pylinominal function. The data arrays xa[0.....n-1] and ya[0....n-1] must be larger than m, polynominal of degree.