import java.awt.*;
import java.awt.image.*;
import javax.imageio.ImageIO;
import java.io.File;
import java.io.IOException;
class Main {
    static final int X = 500, Y = 500;
    static BufferedImage I = new BufferedImage(X, Y, BufferedImage.TYPE_INT_RGB);
    static double xoff;
    static int xs(double x){return (int)(X/2*(x+xoff));}
    static int ys(double y){return (int)(Y-Y/2*(y+1));}

    static public void main(String[] args){
        double T = new Float(args[0]);
        xoff = new Float(args[1]);
        WritableRaster wr = I.getRaster();
        if (false) {int[] a = new int[3]; a[2] = 128;
           for(int j = 0; j<Y-40; ++j) {a[1] = j;
           for(int i = 0; i<X-40; ++i) {a[0] = i;
              wr.setPixel(20+i, 20+j, a);}}}

{double tau = 0, a = 0, x = 0, y = 1;
final double  dt = .0001;
int[] p = new int[3]; p[0] = p[1] = p[2] = 255;
for(int i = 0; i<X; ++i) wr.setPixel(i, ys(0), p); // X axis
for(int j = 0; j<Y; ++j) wr.setPixel(xs(0), j, p); // Y axis
for(int j = 0; tau < 20; ++j){tau += dt; a -= T*dt*y;
    x += dt*Math.cos(a); y += dt*Math.sin(a);
    try {wr.setPixel(xs(x), ys(y), p);}
    catch (ArrayIndexOutOfBoundsException q) {}}}

        Frame f = new Frame( "paint Example" );
        f.add("Center", new MainCanvas());
        f.setSize(new Dimension(X,Y+22));
        f.setVisible(true);
        
        for(int q=2; q < args.length; ++q) {
           int z = args[q].lastIndexOf('.');
           if (z > 0) try {ImageIO.write(
                I, args[q].substring(z+1),
                new File(args[q]));}
              catch (IOException e) {System.err.println("image not saved.");}}
   }
}
class MainCanvas extends Canvas
{
    public void paint(Graphics g)
    {
        g.drawImage(Main.I, 0, 0, Color.red, null);
        Dimension s = getSize();
        g.drawOval(0, 0, s.width, s.height);
    }
}