com.imsl.test.example.math

Class RadialBasisEx2.PolyHarmonicSpline

java.lang.Object

com.imsl.test.example.math.RadialBasisEx2.PolyHarmonicSpline

All Implemented Interfaces:

RadialBasis.Function

Enclosing class:

RadialBasisEx2

public static class RadialBasisEx2.PolyHarmonicSpline
extends Object
implements RadialBasis.Function

RadialBasis Example 2b: Defines a polyharmonic spline radial basis function.

The "custom" polyharmonic spline radial basis function is specified $$\varphi(r)=\left\{ \begin{array}{ll}r^{k}&k=1,3,5,\ldots\\r^{k}\ln{r}&k=2,4,6,\ldots\end{array} \right.$$

Constructor Summary

Constructors

Constructor and Description
PolyHarmonicSpline(int order)

Method Summary

Modifier and Type	Method and Description
double	f(double x) A radial basis function.
double	g(double x) The derivative of the radial basis function used to calculate the gradient of the radial basis approximation.
int	getOrder()
boolean	isEvenOrder()

Methods inherited from class java.lang.Object

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

Constructor Detail

PolyHarmonicSpline

public PolyHarmonicSpline(int order)

Method Detail

f

public double f(double x)

Description copied from interface: RadialBasis.Function

A radial basis function.

Specified by:

f in interface RadialBasis.Function

Parameters:

x - a double, the point at which the function is to be evaluated

Returns:

a double, the value of the function at x

g

public double g(double x)

Description copied from interface: RadialBasis.Function

The derivative of the radial basis function used to calculate the gradient of the radial basis approximation.

Specified by:

g in interface RadialBasis.Function

Parameters:

x - a double, the point at which the function is to be evaluated

Returns:

a double, the value of the function at x

getOrder

public int getOrder()

isEvenOrder

public boolean isEvenOrder()