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






public class ScaleCanvas extends Canvas implements MouseListener, MouseMotionListener {
    Complex SOURCE=new Complex(0,0);
    AffineTransform[] A=new AffineTransform[2];


    public void paint(Graphics g2) {}

    public static AffineTransform[] preFit(GeneralPath gp,double x,double y,double w,double h) {
	AffineTransform[] AFF=new AffineTransform[2];
	Rectangle2D R0=gp.getBounds2D();
	Rectangle2D.Float R1=(Rectangle2D.Float)(R0);
	double[] t={R1.x,R1.y,R1.x+R1.getWidth(),R1.y+R1.getHeight()};
	 double x1=1.0*(w)/(t[2]-t[0]);
	 double x2=1.0*(h)/(t[3]-t[1]);
	 double sc=x1;
	 if(sc>x2) sc=x2;	 
                   AFF[0]=AffineTransform.getScaleInstance(sc,-sc);
	 double cenx=(t[0]+t[2])/2.0;
	 double ceny=(t[1]+t[3])/2.0;
	 double targetx=x+1.0*w/2;
	 double targety=y+1.0*h/2;
	 double xx=targetx-cenx*sc;
	 double yy=targety+ceny*sc;
	 AFF[1]=AffineTransform.getTranslateInstance(xx,yy);
	 return(AFF);
    }

    public static GeneralPath expand(Point X,GeneralPath gp) {
	return(expand(X,2,gp));
    }

    public static GeneralPath expand(Point X,double s,GeneralPath gp) {
	double t=1-s;
	AffineTransform A1=AffineTransform.getScaleInstance(s,s);
	AffineTransform A2=AffineTransform.getTranslateInstance(t*X.x,t*X.y);
	GeneralPath gp2=new GeneralPath(gp);
	gp2.transform(A1);
	gp2.transform(A2);
	return(gp2);
    }

    public static GeneralPath fit(GeneralPath gp,double x,double y,double w,double h) {
	AffineTransform[] AFF=preFit(gp,x,y,w,h);
	 gp.transform(AFF[0]);
	 gp.transform(AFF[1]);
	 return(gp);
    }








    public void mousePressed(MouseEvent e) {}
    public void mouseEntered(MouseEvent e) {}
    public void mouseExited(MouseEvent e) {}
    public void mouseReleased(MouseEvent e) {}
    public void mouseMoved(MouseEvent e) {}
    public void mouseClicked(MouseEvent e) {}
    public void mouseDragged(MouseEvent e) {}

}