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

class Complex
{ double real,image;
  public static void init(double a,double b,Complex c)
  {c.real=a;c.image=b;}
  public static double abs(Complex a)
  {double x,y,r;
   x=Math.abs(a.real);y=Math.abs(a.image);
   if(x>y)r=x*Math.sqrt(1+(y/x)*(y/x));
   else r=y*Math.sqrt(1+(x/y)*(x/y));
   return r;
  }
 public static void Pow(Complex a,double w,Complex b)
 {double r,Pi=Math.PI,sita;
  int n;
  r=Complex.abs(a);
  if(a.image==0)
    {if (a.real>=0)sita=0;
     else sita=Pi;}
  else if(a.real==0)
    {if(a.real>0)sita=Pi/2;
     else sita=-Pi/2;}
  else {if (a.real>0) sita=Math.atan(a.image/a.real);
        else sita=(Math.atan(a.image/a.real)+Pi);}
 r=Math.exp(w*Math.log(r));
 sita*=w;n=(int)(sita/(2*Pi));sita-=n*2*Pi;
 b.real=r*Math.cos(sita);b.image=r*Math.sin(sita);
 }
}

public class Example1_5 extends Applet implements ActionListener
{TextField text1,text2,text3;
 TextArea text4;
 Button button1;
 public void init()
 {text1=new TextField(10);text2=new TextField(10);text3=new TextField(10);
  text4=new TextArea(10,50);
  button1=new Button("計(jì)算實(shí)數(shù)冪");
  add(text1);add(text2);add(text3);add(button1);add(text4);
  text4.setEditable(false);
  button1.addActionListener(this);
 }
 public void actionPerformed(ActionEvent e)
 {double n1,n2,n3;
  int i,n;
  Complex a,b;
  if(e.getSource()==button1)
  {n1=Double.valueOf(text1.getText()).doubleValue();
   n2=Double.valueOf(text2.getText()).doubleValue();
   n3=Double.valueOf(text3.getText()).doubleValue();
   a=new Complex();Complex.init(n1,n2,a);b=new Complex();
   text4.setText("");
   text4.append("復(fù)數(shù)A=("+a.real+")+("+a.image+")I\n");
   Complex.Pow(a,n3,b);
   text4.append("它的"+n3+"次方為：\n");
   text4.append("("+b.real+")+("+b.image+")I\n");
   }
}
}