/* binomial.java - jpq - 10/10/99 - 24/10/99 - 08/02/00 - 03/03/00 * 8/05/00 * ajout de main() le 05/02/18 */ import java.awt.event.*; import java.awt.*; import java.applet.*; import java.util.*; public class binomial extends java.applet.Applet { static final long serialVersionUID = 180205L; controles C; dessin D; public void init () { setLayout (new BorderLayout ()); D = new dessin (311, 414, 20, 100, 50, 0.5); C = new controles (D); add (C, BorderLayout.NORTH); add (D, BorderLayout.CENTER); } public void destroy () { remove (D); remove (C);} public String getAppletInfo () { return "binomial par j.-p. Quelen"; } //////////////////////////////////////////////////////////////////////////////// protected class dessin extends Canvas { static final long serialVersionUID = 180205L; Image img; Graphics g; int n, bsup, h, w, N; double p, max; double [] histogramme; double [] [] cnk = new double [2] [21]; boolean retrace, binomial; int imax, dt, nN, nB, Nsimul; double darrond = 100.0; Random rnd; public dessin (int nN, int nB, int n, int Nsimul, int dt, double p) { this.nN = nN; this.nB = nB; this.n = n; this.Nsimul = Nsimul; this.dt = dt; rnd = new Random (); this.p = p; // binomial = false; retrace = true; bsup = n + 1; histogramme = new double [bsup]; cnk = new double [2] [bsup]; int k = (n + 1) % 2; for (int i = 0; i < n; i ++) { cnk [k] [0] = cnk [k] [i + 1] = 1.0; int k1 = (k + 1) % 2; for (int j = 1; j <= i; j ++) cnk [k] [j] = cnk [k1] [j - 1] + cnk [k1] [j]; k = k1; } rnd = new Random (); } private String sarrondi (double d) { return Double.toString (Math.floor (d * darrond) / darrond); } public void message (Graphics g, String s) { g.drawString (s, 10, 10); } public void update (Graphics g) { paint (g); } private void affiche (Graphics g) { g.setColor (Color.white); g.fillRect (0, 0, w, h); g.setColor (Color.yellow); g.drawLine (20, h - 40, w, h - 40); g.drawLine (20, 40, 20, h - 40); g.setColor (Color.blue); g.drawString ("0", 5, h - 40); g.drawString (sarrondi (max / N), 5, 40); for (int j = 0; j < bsup; j ++) { int x = j * (w - 50) / bsup + 20; int y = h - 40 - (int)(histogramme [j] / max * (h - 80)); g.setColor (Color.black); g.drawLine (x, y, x, h - 40); g.setColor (Color.blue); g.drawString (Integer.toString (j), x, h - 10); } } public void paint (Graphics g1) { if (img == null || w != getSize().width || h != getSize().height) { w = getSize().width; h = getSize().height; img = createImage (w, h); g = img.getGraphics (); g.setColor (Color.white); g.fillRect (0, 0, w - 2, h - 2); g.setColor (Color.black); g.drawRect (0, 0, w - 1, h - 1); } if (retrace) { retrace = false; double somme = 0.0; double somme2 = 0.0; double valmin = Double.MAX_VALUE; double valmax = - valmin; max = 0; N = 0; for (int i = 0; i < histogramme.length; i ++) histogramme [i] = 0; for (int j = 0; j < Nsimul; j ++) { int dn = 0, db = 0; int nNpnB = nN + nB; for (int k = 0; k < n; k ++) if ((int)(rnd.nextDouble () * nNpnB --) + 1 <= nB - db) db ++; else dn ++; histogramme [dn] ++; if (histogramme [dn] > max) max = histogramme [dn]; N ++; try { Thread.sleep (dt); } catch (InterruptedException e) {} affiche (g); g1.drawImage (img, 0, 0, this); } } affiche (g); if (binomial) { g.setColor (Color.blue); double q = 1.0 - p; double d = Math.pow (q, n); for (int i = 0; i < bsup; i++) { int x = i * (w - 50) / bsup + 20; int y = h - 40 - (int)(cnk [0] [i] * d * N / max * (h - 80)); d = d * p / q; g.fillRect (x - 1, y - 1, 3, 3); } } g1.drawImage (img, 0, 0, this); } } //////////////////////////////////////////////////////////////////////////////// protected class controles extends Panel implements ActionListener { static final long serialVersionUID = 180205L; dessin D; TextField tp, tdt, tNsimul; Button ok, binomial; Font f; private Label ajoutlbl (String s) { Label lbl = new Label (s); lbl.setBackground (Color.lightGray); lbl.setFont (f); return lbl; } private TextField ajouttf (int n) { TextField tf = new TextField (Integer.toString (n)); tf.setFont (f); return tf; } private Button ajoutb (String s) { Button b = new Button (s); b.setFont (f); b.addActionListener (this); return b; } public controles (dessin D) { this.D = D; setLayout (new FlowLayout()); setBackground (Color.lightGray); f = new Font ("Arial", Font.PLAIN, 10); Label l; add (ajoutlbl ("n = " + Integer.toString (D.n) + " p = ")); add (tp = new TextField (new Double(D.p).toString())); tp.setFont (f); add (ajoutlbl ("Nbr. de simulations :")); add (tNsimul = ajouttf (D.Nsimul)); add (ok = ajoutb ("Ok")); add (binomial = ajoutb ("B")); add (ajoutlbl ("dt =")); add (tdt = ajouttf (D.dt)); } public void actionPerformed (ActionEvent e) { if ((e.getSource () == ok) || (e.getSource () == binomial)) { try { D.p = new Double(tp.getText ()).doubleValue(); } catch (NumberFormatException nfe) { } if (D.p < 0) D.p = 0; else if (D.p > 1) D.p = 1; tp.setText (Double.toString (D.p)); try { D.dt = Integer.parseInt (tdt.getText ()); } catch (NumberFormatException nfe) { } if (D.dt < 0) D.dt = 0; tdt.setText (Integer.toString (D.dt)); try { D.Nsimul = Integer.parseInt (tNsimul.getText ()); } catch (NumberFormatException nfe) { } if (D.Nsimul <= 0) D.Nsimul = 1; tNsimul.setText (Integer.toString (D.Nsimul)); if (e.getSource () == binomial) D.binomial = ! D.binomial; else D.retrace = true; D.repaint (); } } } //////////////////////////////////////////////////////////////////////////////// public static void main (String [] args) { // Création et lancement de l'applet binomial a = new binomial(); a.init (); a.start (); // Création de la fenêtre contenant l'applet Frame f = new Frame ("binomial"); f.addWindowListener (new fermer ()); f.add (a); f.setSize (500, 400); f.setVisible (true); } // Permet la fermeture de la fenêtre contenant l'applet protected static final class fermer extends WindowAdapter { public void windowClosing (WindowEvent we) { System.exit (0); } } }