import java.applet.*;
import java.awt.*;
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 jia(Complex a,Complex b,Complex c)
  { c.real=a.real+b.real;
	c.image=a.image+b.image;}

  public static void jian(Complex a,Complex b,Complex c)
  { c.real=a.real-b.real;
  	c.image=a.image-b.image;
  }
  public static void cheng(Complex a,Complex b,Complex c)
  { double p,q,s;
    c.real=a.real*b.real-a.image*b.image;
    c.image=a.real*b.image+a.image*b.real;
  }
  public static void chu(Complex a,Complex b,Complex c)
  { double w;
    if(Math.abs(b.real)>Math.abs(b.image))
    {w=b.real+b.image*(b.image/b.real);
     c.real=(a.real+a.image*(b.image/b.real))/w;
     c.image=(a.image-a.real*(b.image/b.real))/w;
    }
    else
	{w=b.real*(b.real/b.image)+b.image;
	 c.real=(a.real*(b.real/b.image)+a.image)/w;
	 c.image=(a.image*(b.real/b.image)-a.real)/w;
    }
 }
 public static void equal(Complex a,Complex b)
 {a.real=b.real;a.image=b.image;}
}

public class Example4_12 extends Applet
{ public Complex f(Complex  x)
  {Complex c1,c2,a,b;
   c1=new Complex();c2=new Complex();a=new Complex();b=new Complex();
   Complex.init(1,2,a);Complex.init(-2,2,b);
   Complex.jia(x,a,c1);
   Complex.cheng(c1,x,c2);
   Complex.jia(c2,b,c2);
   return c2;}
  public Complex Cmtcl(Complex x,double b,double eps)
  {double rr=0,ri=0,y=0,y1=0;int m=0,n=0;
   Complex x1;
   x1=new Complex();
   y=Complex.abs(f(x));
   while(y>eps&&n++<10000)
   {while(m++<100)
    {rr=Math.random()*2*b-b;ri=Math.random()*2*b-b;
     x1.real=x.real+rr;x1.image=x.image+ri;
     y1=Complex.abs(f(x1));
     if(y1<y)break;
    }
    if(m>100)b/=2;
	else {Complex.equal(x,x1);y=y1;}
	m=0;
   }
   return x;
  }
  public void paint(Graphics g)
  {Complex x,y;
   double b=1,eps=1e-7;
   x=new Complex();Complex.init(0.5,0.5,x);x=Cmtcl(x,b,eps);
   if(x.image<0)g.drawString("X="+x.real+""+x.image+"i",10,20);
   else g.drawString("X="+x.real+"+"+x.image+"i",10,20);
   y=new Complex();y=f(x);
   if(y.image<0)g.drawString("f(x)="+y.real+""+y.image+"i",10,40);
   else g.drawString("f(x)="+y.real+"+"+y.image+"i",10,40);
  }
}