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:

Serializable, 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.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
Simpson()

Method Summary

Modifier and Type	Method and Description
Object	evaluate(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

getNumberOfParameters, setCurNumberOfParameters

Methods inherited from class java.lang.Object

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

Constructor Detail

Simpson

public Simpson()

Method Detail

evaluate

public Object evaluate(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