AppletAttrattore

import java.awt.Stroke;

import javax.swing.*;

import java.awt.*;

import java.awt.event.*;

import javax.swing.event.*;

import java.awt.image.*;

import static java.lang.Math.*;

/**

* Class  Lorenz1

* @author (Sergio Savoldelli.-  www.savoldelli.net. -  www.colognola.com)

* @version (number 2. - 1/2017 )

*   L'utilizzo di questo listato è libero, ma la pubblicazione della fonte sarebbe gradita.

public class Lorenz1 extends JApplet

implements MouseListener, MouseMotionListener  {

public double z = 0.02;

public double yz = 0.002;

public double pi2=PI*2;

public  int  mov1,mov2,mov3,mov4,k=6,qq,q,modulo,i,step,a2, N= 25000,temp=1,n1=35,n2=1900,n3=9,n4=7,n5=5,w,h,dist,colz;

public double x1,y1, z1,x0,z0,y0,xe,ye,ze,xeb,yeb,zeb;

public double aa,k0,k02,xe2,ye2,xe2c,ye2c,x,y,xx,yy,t2, ee,r0,r02,w1;

public  double hb = 0.001, q3=0;

public   double a = 6;

public   double b = 24;

public   double c = 4;

public double vertx[], verty[], vertz[];

Scrollbar scrolls1, scrolls2, scrolls3, scrolls4, scrolls5;

private boolean movingCircleOut = false;

Panel controlPanel;

Font font;

String numColore;

String sliderTextR = "a = (1 - 120): ";

String sliderTextr = "b = (2 - 2500): ";

String sliderTextn = "c = (1 - 360 ) ";

String sliderTextO = "d =(1 - 120): ";

String sliderTextcin = "e=  (1 - 360 ) ";

String sliderTextC = " STEREO ?  ";

Label sliderLabel1, sliderLabel2, sliderLabel3,  sliderLabel4, sliderLabel5, sliderLabelC,  titleLabel;

Checkbox insideCheckbox, outsideCheckbox;

public void init() {

controlPanel = new Panel();

controlPanel.setBackground(Color.black);

controlPanel.setLayout(new GridLayout(19,1));

add("East", controlPanel);

addMouseListener(this);

addMouseMotionListener(this);

titleLabel = new Label(" ATTRATTORE ", 1);

font = new Font("Helvetica", Font.BOLD, 17);

titleLabel.setFont(font);

titleLabel.setBackground(Color.black);

titleLabel.setForeground(Color.red);

controlPanel.add(titleLabel);

controlPanel.add(new Label(" "));

sliderLabel1 = new Label(sliderTextR + Integer.toString (n1));

font = new Font("Helvetica", Font.PLAIN, 12);

sliderLabel1.setFont(font);

sliderLabel1.setBackground(Color.black);

sliderLabel1.setForeground(Color.white);

controlPanel.add(sliderLabel1);

scrolls1 = new Scrollbar(Scrollbar.HORIZONTAL, n1, 1, 1,121);

scrolls1.setBackground(Color.blue);

controlPanel.add(scrolls1);

sliderLabel2 = new Label(sliderTextr + Integer.toString(n2));

font = new Font("Helvetica", Font.PLAIN, 12);

sliderLabel2.setFont(font);

sliderLabel2.setBackground(Color.black);

sliderLabel2.setForeground(Color.white);

controlPanel.add(sliderLabel2);

scrolls2 = new Scrollbar(Scrollbar.HORIZONTAL, n2, 1,1, 2501);

scrolls2.setBackground(Color.blue);

controlPanel.add(scrolls2);

sliderLabel3 = new Label(sliderTextn + Integer.toString(n3));

font = new Font("Helvetica", Font.PLAIN, 12);

sliderLabel3.setFont(font);

sliderLabel3.setBackground(Color.black);

sliderLabel3.setForeground(Color.white);

controlPanel.add(sliderLabel3);

scrolls3 = new Scrollbar(Scrollbar.HORIZONTAL, n3, 1,1, 361);

scrolls3.setBackground(Color.blue);

controlPanel.add(scrolls3);

sliderLabel4 = new Label(sliderTextO + Integer.toString(n4));

font = new Font("Helvetica", Font.PLAIN, 12);

sliderLabel4.setFont(font);

sliderLabel4.setBackground(Color.black);

sliderLabel4.setForeground(Color.white);

controlPanel.add(sliderLabel4);

scrolls4 = new Scrollbar(Scrollbar.HORIZONTAL,n4, 1, 2, 121);

scrolls4.setBackground(Color.blue);

controlPanel.add(scrolls4);

sliderLabel5 = new Label(sliderTextcin  + Integer.toString(n5));

font = new Font("Helvetica", Font.PLAIN, 12);

sliderLabel5.setFont(font);

sliderLabel5.setBackground(Color.black);

sliderLabel5.setForeground(Color.white);

controlPanel.add(sliderLabel5);

scrolls5 = new Scrollbar(Scrollbar.HORIZONTAL,n5, 1, 1, 361);

scrolls5.setBackground(Color.blue);

controlPanel.add(scrolls5);

controlPanel.add(new Label("  "));

sliderLabelC = new Label(sliderTextC);

font = new Font("Helvetica", Font.BOLD, 18);

sliderLabelC.setFont(font);

sliderLabelC.setBackground(Color.black);

sliderLabelC.setForeground(Color.white);

controlPanel.add(sliderLabelC);

CheckboxGroup CircleInOutGroup = new CheckboxGroup ();

insideCheckbox = new Checkbox("SI",  CircleInOutGroup, !movingCircleOut);

outsideCheckbox = new Checkbox("NO", CircleInOutGroup, movingCircleOut);

insideCheckbox.setForeground(Color.green);

outsideCheckbox.setForeground(Color.red);

font = new Font("Helvetica", Font.BOLD, 12);

insideCheckbox.setFont(font);

outsideCheckbox.setFont(font);

controlPanel.add(insideCheckbox);

controlPanel.add(outsideCheckbox);

vertx = new double[25500];  verty = new double[25500]; vertz = new double[25500];

}

public boolean handleEvent(Event ev)

{

if (ev.target instanceof Scrollbar) {

int value = ((Scrollbar)ev.target).getValue();

if (ev.target == scrolls2) {

sliderLabel2.setText(sliderTextr + Integer.toString(value));

n2 = value;

} else if (ev.target == scrolls3) {

sliderLabel3.setText(sliderTextn + Integer.toString(value));

n3 = value;

} else if (ev.target == scrolls1) {

sliderLabel1.setText(sliderTextR + Integer.toString(value));

n1 = value;

} else if (ev.target == scrolls4) {

sliderLabel4.setText(sliderTextO +  Integer.toString(value));

n4 = value;

} else if (ev.target == scrolls5) {

sliderLabel5.setText(sliderTextcin + Integer.toString(value));

n5 = value;

}

repaint();

}

if (   ev.target == insideCheckbox || ev.target == outsideCheckbox ) {

repaint();

}

return true;

}

public void paint(Graphics g) {

w = getSize().width -130;  h = getSize().height;

Graphics2D g2 = (Graphics2D)g;

BufferedImage bufimage;

Graphics2D bufimagegraf,bufimagegrafb,bufimagegraff ;

bufimage = new BufferedImage(w, h, BufferedImage.TYPE_4BYTE_ABGR);

bufimagegraf= bufimage.createGraphics();

bufimagegraf.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);

bufimagegraf.setStroke(new BasicStroke(1.2f));

bufimagegraf.setColor(new Color(0,255,0));

bufimagegraf.setFont( new Font("Helvetica", Font.PLAIN, 15));

bufimagegrafb= bufimage.createGraphics();

bufimagegrafb.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);

bufimagegrafb.setStroke(new BasicStroke(2.2f));

bufimagegrafb.setFont( new Font("Helvetica", Font.PLAIN, 18));

bufimagegrafb.setColor(new Color(255,255,0));

bufimagegraf.clearRect(0,0,w, h);

bufimagegraff= bufimage.createGraphics();

bufimagegraff.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);

bufimagegraff.setStroke(new BasicStroke(1.2f));

bufimagegraff.setFont( new Font("Helvetica", Font.BOLD, 15));

bufimagegraff.setColor(new Color(255,0,0));

hb=0.002;

x0 = 0.1+ 0.1/n2;

y0 = 0.1+ 0.1/n2;

z0 = 0.1+ 0.1/n2;

step= n4;

a= 11;

b= 26;

c= 3.5;

N=25000;

for (i=0;i<N;i=i+1) {

x1 = (x0 + hb * a * (y0 - x0))*(1+hb*n5*0.05);

y1 = y1 + hb * (x0 * (b - z0) - y0);

z1 = (z0 + hb * (x0 * y0 - c * z0));

x0 = x1+n1*0.01;

y0 = y1-n1*0.01;

z0 = z1-n1*0.01;

vertx[i]= x1;

verty[i]=y1;

vertz[i]=z1;

}

x0 = 0.0;

y0 =0.0;

z0 =0.0;

x1 = 0.0;

y1 = 0.0;

z1 = 0.0;

N=n2*10;

for(a2=0;a2<=N;a2=a2+step){

x0=vertx[a2];

y0=verty[a2];

z0= vertz[a2];

xeb= x0*(Math.cos(z+0.2))*(n3*0.5);

xe= x0*( Math.cos(z))*(n3*0.5);

yeb= y0*Math.sin(z+0.2)*(n3*0.5);

ye= y0* Math.sin(z)*(n3*0.5);

zeb=z0*  -(Math.cos(yz+0.2))*(n3*0.5);

ze=z0*  -(Math.cos(yz))*(n3*0.5);

k0=(xe)+w/2+ye;

r0= (ze)+h/2;

k02=(xeb+w/2+5)+yeb;

r02= (zeb)+h/2+5;

x=  k0;

y = r0;

xx=  k02;

yy = r02;

xe2c= x;

ye2c= (y);

xe2= xx;

ye2= (yy);

k02=xe2c;

r02= ye2c;

k0=(xe2);

r0= (ye2);

if (outsideCheckbox.getState()){

k0= -1000;

r0= -1000;

}

bufimagegrafb.setColor(new Color(255,0,0));

bufimagegrafb.drawLine((int)k0, (int)r0,(int)k0, (int)r0);

bufimagegrafb.setColor(new Color(0,255,0));//verde

bufimagegrafb.drawLine((int)k02, (int)r02,(int)k02, (int)r02);

}

g2.drawImage(bufimage,0,0, this);

}

public void mouseClicked(MouseEvent et) {

Object source = et.getSource();

int aaaa=  et.getButton();

if(aaaa == MouseEvent.BUTTON3){

int startx = et.getX();

int starty = et.getY();

repaint();

}

public void mousePressed(MouseEvent e) {

mov2 = e.getX();  int mov3 = e.getY();

}

public void mouseReleased(MouseEvent e){}

public void mouseEntered(MouseEvent e) {}

public void mouseExited(MouseEvent e)  {}

public void mouseMoved(MouseEvent e) {}

public void mouseDragged(MouseEvent e) {

mov1 = e.getX();   mov4 = e.getY();

z=z+0.015*((mov1-mov2));mov2=mov1;

yz=yz +0.008* ((mov4-mov3));mov3=mov4;

repaint();

e.consume();

}

Attrattore di Lorenz

Attrattore di Lorenz

Mi dispiace ma per vedere questa applet devi usare Internet Explorer o Google o altri browser di vecchia generazione

Comunque Clicca qui per interagire con un programma in JS riguardante l'attrattore di E. Lorenz in versione stereo e normale.

Se invece vuoi realizzare l'applet da solo qui sotto c'è¨ il listato, non sarà scritto come prescritto dalle convenzioni Java ma funziona bene lo stesso.

Con questo applet potrai realizzzare tutte le immagini che vedi nelle pagine che parlano dell'attrattore di Lorenz.

Listato dell'applet.

///////////////////////////////////////////////

Queste immagini le potete ottenere con il listato dell'applet che vedete qui sopra.

Sono esempi per chi vuole programmare in java.

Queste ultime immagini sono state aggiunte per il loro valore estetico.