org.lsmp.djep.xjep.function

Class Simpson

java.lang.Object

org.nfunk.jep.function.PostfixMathCommand

org.lsmp.djep.xjep.function.SumType

org.lsmp.djep.xjep.function.Trapezium

org.lsmp.djep.xjep.function.Simpson

All Implemented Interfaces:

CallbackEvaluationI, PostfixMathCommandI

public class Simpson
extends Trapezium

The Simpson rule for approximation to a definite integral. h * (y0 + yn + 4(y1+y3+...+y_(n-1)) + 2(y2+y4+...+y_(n-2)) ) /3 where h = (xn-x0)/n, yi = f(xi) Simpson(x^2,x,0,10,0.5) finds an approximation for int(x^2) where x runs from 0 to 10 in steps of h=0.5.

Author:

Rich Morris Created on 10-Sept-2004

Field Summary

Fields inherited from class org.lsmp.djep.xjep.function.SumType

name

Fields inherited from class org.nfunk.jep.function.PostfixMathCommand

curNumberOfParameters, numberOfParameters

Constructor Summary

Constructors

Constructor and Description
Simpson()

Method Summary

Methods

Modifier and Type	Method and Description
java.lang.Object	evaluate(java.lang.Object[] elements) Evaluates the function given the set of y values.

Methods inherited from class org.lsmp.djep.xjep.function.Trapezium

evaluate

Methods inherited from class org.lsmp.djep.xjep.function.SumType

checkNumberOfParameters, evaluate, run

Methods inherited from class org.nfunk.jep.function.PostfixMathCommand

checkStack, getNumberOfParameters, setCurNumberOfParameters

Methods inherited from class java.lang.Object

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

Constructor Detail

Simpson

public Simpson()

Method Detail

evaluate

public java.lang.Object evaluate(java.lang.Object[] elements)
                          throws ParseException

Description copied from class: SumType

Evaluates the function given the set of y values. For example for Sum(x^2,x,1,5) the function will be passed the array [1,4,9,16,25].

Overrides:

evaluate in class Trapezium

Parameters:

elements - the y values

Returns:

the result of the function

Throws:

ParseException