Fournyx

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De quoi s'agit-il ?

Fournyx est un petit applet java que j'ai écrit pour illustrer les cours de ma copine concernant le domaine de Fourrier. Je rend l'éxécutable et la source disponible sur cette page sous licence BSD. L'intérêt de l'applet en soi est plutot limité, mais mon véritable but est plutot d'aider d'éventuels débutants en applets en mal d'exemples.

Démonstration

Fréquence (Hz) :
X1 (%) :
X2 (%) :
X3 (%) :

Installation

Compilation

$ javac fournyx.java

Intégration dans une page web

<applet code="fournyx.class" width="680" height="410">
  <param name="freq" value="220"/>
  <param name="a" value="90"/>
  <param name="b" value="20"/>
  <param name="c" value="60"/>
</applet>

Changer le paramètrage dynamiquement

Vous pouvez modifier dynamiquement le paramètrage de l'applet grâce à sa fonction public void reinit(int, double, double, double).

Exemple :

document.applets.fournyx.reinit(220, 0.9, 0.2, 0.6);

Source

Voici le contenu de fournyx.java :

/*
 * Copyright (c) 2005, Jean-Michel MORANI
 * All rights reserved.
 * 
 * Redistribution and use in source and binary forms, with or without modification,
 * are permitted provided that the following conditions are met :
 * 
 * - Redistributions of source code must retain the above copyright notice, this list
 *   of conditions and the following disclaimer. 
 * - Redistributions in binary form must reproduce the above copyright notice, this 
 *   list of conditions and the following disclaimer in the documentation and/or 
 *   other materials provided with the distribution. 
 * - Neither the name of the Nayxx nor the names of its contributors may be used to
 *   endorse or promote products derived from this software without specific prior
 *   written permission. 
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
 * IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
 * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
 * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 */

import java.applet.*;
import java.awt.*;


public class fournyx extends Applet {

    static int X_TEMP = 28;
    static int Y_TEMP = 120;
    static int M_TEMP = 10;
    static int H_TEMP = 100;
    static int L_TEMP = 600;
    static int X_FOUR = 450;
    static int Y_FOUR = 370;
    static int L_FOUR = 130;
    static int H_FOUR = 100;
    
    int freq = 440;
    double a = 1;
    double b = 0.6;
    double c = 0.5;
    
    public void init() {
      String s;
      setBackground(Color.white);
      s = getParameter("freq");
      if (s != null) freq = Integer.parseInt(s);
      s = getParameter("a");
      if (s != null) a = (Integer.parseInt(s)) / 100.0;
      s = getParameter("b");
      if (s != null) b = (Integer.parseInt(s)) / 100.0;
      s = getParameter("c");
      if (s != null) c = (Integer.parseInt(s)) / 100.0;
    }

    private double periode() {
        return (1000 / (double)freq); 
    }
    
    private void dessineAxes(Graphics g) {
                
        // Temporel
        g.setColor(Color.yellow);
        for(int i = -3; i <= 3; i++) {            
            int y = Y_TEMP - (2*i * H_TEMP) / 7;
            g.drawLine(X_TEMP+1, y, X_TEMP+L_TEMP, y);
        }
        g.setColor(Color.black);
        g.drawLine(X_TEMP, Y_TEMP - H_TEMP, X_TEMP, Y_TEMP + H_TEMP);
        g.drawLine(X_TEMP, Y_TEMP, X_TEMP+L_TEMP+6, Y_TEMP);
        g.setColor(Color.blue);
        for(int i = -6; i <= 6; i++) {            
            int y = Y_TEMP - (i * H_TEMP) / 7;
            g.drawLine(X_TEMP-4, y, X_TEMP, y);
            if (i<0) {
                g.drawString(""+((double)i)/2, 0, y+5);
            } else {
                g.drawString(""+((double)i)/2, 4, y+5);
            }        
        }
        g.drawString("> t (ms)", X_TEMP+L_TEMP+2, Y_TEMP+5);
        g.drawString("Domaine temporel : S(t)", X_TEMP+5, Y_TEMP-H_TEMP-3);
        g.setColor(Color.green);
        g.drawLine(X_TEMP, Y_TEMP+H_TEMP, X_TEMP+L_TEMP/3, Y_TEMP+H_TEMP);
        g.drawLine(X_TEMP, Y_TEMP+H_TEMP, X_TEMP, Y_TEMP+H_TEMP-4);
        g.drawLine(X_TEMP+L_TEMP/3, Y_TEMP+H_TEMP, X_TEMP+L_TEMP/3, Y_TEMP+H_TEMP-4);
        g.drawString("Priode : "+periode()+" ms", X_TEMP+7, Y_TEMP+H_TEMP+12);
    
        // Frquenciel
        g.setColor(Color.black);
        g.drawLine(X_FOUR-L_FOUR, Y_FOUR, X_FOUR+L_FOUR, Y_FOUR);
        g.drawLine(X_FOUR, Y_FOUR-H_FOUR, X_FOUR, Y_FOUR);
        
        g.setColor(Color.blue);
        for(int i = -3; i <= 3; i++) {            
            int x = X_FOUR + (i * L_FOUR) / 4;
            g.drawLine(x, Y_FOUR, x, Y_FOUR+5);
            g.drawString(""+freq*i, x-3, Y_FOUR+18);
        }
        g.drawString("Domaine de Fourrier", X_FOUR-50, Y_FOUR-H_FOUR-15);
        g.drawString("> f (Hz)", X_FOUR+L_FOUR-4, Y_FOUR+5);
    }
                
    private double signal(double x) {
        return -(a*Math.sin(x)+b*Math.sin(2*x)+c*Math.sin(3*x));
    }
    
    private int f(int x) {
        return (int) (H_TEMP/3.5*signal( ((double)x) / (L_TEMP/(3*2*Math.PI))));
    }
    
    public void dessineTemp(Graphics g) {
        g.setColor(Color.red);
        for(int x = 0; x < L_TEMP; x++) {
            g.drawLine(X_TEMP+x, Y_TEMP+f(x), X_TEMP+x+1, Y_TEMP+f(x+1));
        }
    }

    private double fourrier(int f) {
        if (Math.abs(f)==1) { return a; }
        if (Math.abs(f)==2) { return b; }
        if (Math.abs(f)==3) { return c; }
        return 0;
    }

    private int four(int f) {
        return (int)(fourrier(f) * H_FOUR);       
    }
    
    public void dessineFour(Graphics g) {
        g.setColor(Color.red);
        for(int i = -3; i <= 3; i++) {            
            int x = X_FOUR + (i * L_FOUR) / 4;
            g.drawLine(x, Y_FOUR, x, Y_FOUR-four(i));
            g.drawString(""+fourrier(i), x+3, Y_FOUR-four(i));
        }
    }
    
    public void dessineResume(Graphics g) {
        g.setColor(Color.red);
        g.drawString(" X0 = "+a, X_TEMP+70, Y_TEMP+H_TEMP+50);
        g.drawString(" X1 = "+b, X_TEMP+70, Y_TEMP+H_TEMP+70);
        g.drawString(" X2 = "+c, X_TEMP+70, Y_TEMP+H_TEMP+90);
    }
    
    public void paint(Graphics g) {
        super.paint(g);
        dessineAxes(g);
        dessineTemp(g);
        dessineFour(g);
        dessineResume(g);
        g.setColor(Color.lightGray);
        g.drawString("Illustration du domaine de Fourrier - Jean-Michel MORANI pour "
                     +"Noushin - http://nayxx.com/~jmichel/fournyx", 35, Y_FOUR+35);
    }
}
e(g);
        g.setColor(Color.lightGray);
        g.drawString("Illustration du domaine de Fourrier - Jean-Michel MORANI pour "
                     +"Noushin - http://nayxx.com/~jmichel/fournyx", 35, Y_FOUR+35);
    }
}

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