org.apache.commons.math3.analysis.interpolation
Class NevilleInterpolatorTest

java.lang.Object
  org.apache.commons.math3.analysis.interpolation.NevilleInterpolatorTest

public final class NevilleInterpolatorTest
extends Object

Test case for Neville interpolator.

The error of polynomial interpolation is f(z) - p(z) = f^(n)(zeta) * (z-x[0])(z-x[1])...(z-x[n-1]) / n! where f^(n) is the n-th derivative of the approximated function and zeta is some point in the interval determined by x[] and z.

Since zeta is unknown, f^(n)(zeta) cannot be calculated. But we can bound it and use the absolute value upper bound for estimates. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 2.

Version:

$Id: NevilleInterpolatorTest.java 1374632 2012-08-18 18:11:11Z luc $

NevilleInterpolatorTest

public NevilleInterpolatorTest()

testSinFunction

public void testSinFunction()

Test of interpolator for the sine function.

|sin^(n)(zeta)| <= 1.0, zeta in [0, 2*PI]

testExpm1Function

public void testExpm1Function()

Test of interpolator for the exponential function.

|expm1^(n)(zeta)| <= e, zeta in [-1, 1]

testParameters

public void testParameters()

Test of parameters for the interpolator.

partialerror

protected double partialerror(double[] x,
                              double z)
                       throws IllegalArgumentException

Returns the partial error term (z-x[0])(z-x[1])...(z-x[n-1])/n!

Throws:

IllegalArgumentException