jhplot.math.num

Class PowerSeries

java.lang.Object

jhplot.math.num.IterativeMethod

jhplot.math.num.PowerSeries

public abstract class PowerSeries
extends IterativeMethod

This class provides the means to evaluate infinite power series (1). To create a power series, authors subclass this class and provided a concrete term method.

For example, this is the power series for the exponential function defined by (2):

 PowerSeries exponential = new PowerSeries() {
     public double getTerm(int n) {
         return 1.0 / factorial(n);
     }
 
     private double factorial(int n) {
         double p = 1.0;
         while(n > 1.0) {
             p *= n--;
         }
         return p;
     }
 }
 

References:

1. Eric W. Weisstein. "Power Series." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PowerSeries.html
2. Exponential Function: Series Representation. http://functions.wolfram.com/01.03.06.0002.01

Since:

1.1

Nested Class Summary

Nested classes/interfaces inherited from class jhplot.math.num.IterativeMethod

IterativeMethod.IterativeState

Method Summary

Modifier and Type	Method and Description
double	evaluate(double x) Evaluate this series at the given value.

Methods inherited from class jhplot.math.num.IterativeMethod

getMaximumIterations, getMaximumRelativeError, iterate, setMaximumIterations, setMaximumRelativeError

Methods inherited from class java.lang.Object

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

Method Detail

evaluate

public double evaluate(double x)
                throws NumericException

Evaluate this series at the given value.

Parameters:

x - the point of evalutation.

Returns:

the value of this series evaluated at x.

Throws:

NumericException - if the series could not be evaluated.