// Program for Monday of week of 6/9/04

import java.awt.*;
import javabook.*;

   class Poly {

		int c0,c1,c2;
		
	// the function eval returns the value of the y co-ordinate
		public int Eval(int x) {
			return (c0*x*x + c1*x + c2);
		} 

		public void Plot(Graphics g, Color j) {
			int i,y;
			g.setColor(j);
		// 100 values taken intead of 10 for a visible output

			for(i=0;i<=100;i++) {
				y=Eval(i);	
				g.drawOval(i,y,2,2);
	
			}

		}
	
}


class MaxPoly {
	Poly p1 = new Poly();
	Poly p2 = new Poly();
	
	
	MaxPoly(int c00,int c01,int c02,int c10,int c11,int c12) {
		p1.c0 = c00;	p1.c1 = c01;	p1.c2 = c02;	
		p2.c0 = c10;	p2.c1 = c11;	p2.c2 = c12;
	
	}
	
	MaxPoly(Poly p, Poly q) {
		p1 = p;
		p2 = q;
	}
// this function will plot the max of the two fuctions
// the fuction max can be used instead of the if condition
	public void Plot(Graphics g, Color j) {
		int i,y;
		g.setColor(j);
		

		for(i=0;i<=100;i++) {
			if(p1.Eval(i) > p2.Eval(i))
				y = p1.Eval(i);
			else
				y = p2.Eval(i);

			g.drawOval(i,y,2,2);
		}
			
	}
// the function uses the trapeziodal rule to calculate the area under the curve
// here the value of h =1 
// area of each portion = 1/2(f(x) +f(x+h)) 
	public float Integrate() {
		float sum = 0;
		float previous=0;
		int i,y;
                 
		if(p1.Eval(0) > p2.Eval(0))
				y = p1.Eval(0);
			else
				y = p2.Eval(0);
			
		previous = y;

		for(i=1;i<=100;i++) {
	
			if(p1.Eval(i) > p2.Eval(i))
				y = p1.Eval(i);
			else
				y = p2.Eval(i);
			
				sum = sum + (previous + y) / 2;
				previous = y;
		}
	
		return sum;

	}
	 


}


 class Test {
	
	public static void main(String[] args) {
	
		Poly p1 = new Poly();
		Poly p2 = new Poly();

		
		int c0,c1,c2,c3,c4,c5;
	
		MainWindow mainWindow = new MainWindow("hi");
		mainWindow.setVisible(true);
		Graphics graphics = mainWindow.getGraphics();

		
		InputBox inputBox = new InputBox(mainWindow);
		OutputBox outputBox = new OutputBox(mainWindow);

		c0 = inputBox.getInteger("Enter value of c0");
		c1 = inputBox.getInteger("Enter value of c1");
		c2 = inputBox.getInteger("Enter value of c2");
		c3 = inputBox.getInteger("Enter value of c3");
		c4 = inputBox.getInteger("Enter value of c4");
		c5 = inputBox.getInteger("Enter value of c5");
		
		p1.c0 = c0;		p1.c1 = c1;		p1.c2 = c2;
		p2.c0 = c3;		p2.c1 = c4;		p2.c2 = c5;

		p1.Plot(graphics, Color.red);		
		p2.Plot(graphics, Color.blue);

		MaxPoly mp1 = new MaxPoly (p1, p2);
		
		mp1.Plot(graphics,Color.green);

		float area1 = mp1.Integrate();
		System.out.println("area1 is" + area1);
		

		MaxPoly mp2 = new MaxPoly (c0,c1,c2,c3,c4,c5);
		
		mp2.Plot(graphics,Color.green);

		float area2 = mp2.Integrate();
		System.out.println("area2 is" + area2);

		
	}
}