Listing 6. The SimpsonsRule Class: A ConcreteClass from Figure 6.
public class SimpsonsRule extends Integration
	{
	public SimpsonsRule()
		{
		super();
		}

	public SimpsonsRule(double a,double b,int n)
		{
		super(a,b,n);
		}

	protected double calcArea(int n,double h)
		{
		double xi = 0.0;
		double area = 0.0;
		double factor = h / 3D;
		for(int i = 0;i <= n;++i)
			{
			xi = calcXi(i,h);
			if(i == 0 || i == n)
				area += calcFunction(xi);
			else if(isEven(i))
				area += 2D * calcFunction(xi);
			else
				area += 4D * calcFunction(xi);
			}
		return factor * area;
		}

	protected boolean isEven(int n)
		{
		if(n % 2 == 0)
			return true;
		else
			return false;
		}
	}


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