import java.applet.Applet;
import java.awt.event.*;
import java.awt.*;

/**This class does the basic interval  arithmetic of complex numbers */

public class IntervalComplex {
    Interval x,y;
    

    /**constructors **/

    public   IntervalComplex() {
        this.x=new Interval();
        this.y=new Interval();
    } 

    public IntervalComplex(Interval x,Interval y) {
	this.x=new Interval(x);
	this.y=new Interval(y);
    }

    public IntervalComplex(IntervalComplex Z) {
	this.x=new Interval(Z.x);
	this.y=new Interval(Z.y);
    }


    /**printout**/
     public void print() {
	System.out.print("["+this.x.l+" ,  "+this.x.r+"] ");
	System.out.print(" + ");
	System.out.print("["+this.y.l+" ,  "+this.y.r+"]");
	System.out.print(" I ");
	System.out.println();
    } 


    public static IntervalComplex fat(Complex z) {
	IntervalComplex Z=new IntervalComplex();
	Z.x=Interval.fat(z.x);
	Z.y=Interval.fat(z.y);
	return(Z);
    }


    public static IntervalComplex plus(IntervalComplex z1,IntervalComplex z2) {
        return new IntervalComplex(Interval.plus(z1.x,z2.x),Interval.plus(z1.y,z2.y));
    }

    public static IntervalComplex average(IntervalComplex z1,IntervalComplex z2) {
	IntervalComplex z=plus(z1,z2);
	Interval H=new Interval(.5);
	z.x=Interval.times(H,z.x);
	z.y=Interval.times(H,z.y);
	return(z);
    }

    public static IntervalComplex minus(IntervalComplex z1,IntervalComplex z2) {
   return new IntervalComplex(Interval.minus(z1.x,z2.x),Interval.minus(z1.y,z2.y));
    }


    public static Interval distMaxNorm(IntervalComplex a,IntervalComplex b) {
                  IntervalComplex z=minus(a,b);
	Interval t1=Interval.abs(z.x);
	Interval t2=Interval.abs(z.y);
	return(Interval.max(t1,t2));
    }




}