import greenfoot.*;
import java.awt.Color;

public abstract class TransWorld extends World
{
    public int offW = 0, dirW = 1, offH = 0, dirH = 1;
    
    public void setTranslation(int w, int dw, int h, int dh)
    {
        offW = w;
        dirW = dw;
        offH = h;
        dirH = dh;
    }
    
    public TransWorld(int w, int h, int c)
    {
        this(w, h, c, true);
    }
    
    public TransWorld(int w, int h, int c, boolean b)
    {
        super(w, h, c, b);
    }
    
    public void addObject(Actor actor, int x, int y)
    {
        super.addObject(actor, transX(x), transY(y));
    }
    
    public Color getColorAt(int x, int y)
    {
        return super.getColorAt(transX(x), transY(y));
    }
    
    public void showText(String text, int x, int y)
    {
        // super.showText(text, transX(x), transY(y));
    }
    
    public java.util.List<?> getObjectsAt(int x, int y, Class clss)
    {
        return super.getObjectsAt(transX(x), transY(y), clss);
    }
    
    public final int transX(int x)
    {
        return offW+dirW*x;
    }
    
    public final int transY(int y)
    {
        return offH+dirH*y;
    }
}

import greenfoot.*;

public abstract class TransActor extends Actor
{
    public TransActor()
    {
    }

    public int getX()
    {
        return ((TransWorld)getWorld()).transX(super.getX());
    }
    
    public int getY()
    {
        return ((TransWorld)getWorld()).transY(super.getY());
    }
    
    protected java.util.List<Actor> getObjectsAtOffset(int dx, int dy, Class clss)
    {
        return super.getObjectsAtOffset(transDX(dx), transDY(dy), clss);
    }
    
    protected Actor getOneObjectAtOffset(int dx, int dy, Class clss)
    {
        return super.getOneObjectAtOffset(transDX(dx), transDY(dy), clss);
    }
    
    public void turnTowards(int x, int y)
    {
        super.turnTowards(((TransWorld)getWorld()).transX(x), ((TransWorld)getWorld()).transY(y));
    }    
    
    private int transDX(int dx)
    {
        return ((TransWorld)getWorld()).dirW*dx;
    }
    
    private int transDY(int dy)
    {
        return ((TransWorld)getWorld()).dirH*dy;
    }
}

setTranslation(getWidth()/2, 1, getHeight()/2, -1);