Newton

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/**
 * Si possono realizzare vari disegni interessanti con la formula di Newton per le radici di un numero complesso,
 * La barra di scorrimento (n1) regola il numero della radice, 
 * La barra  (n2)  cambia alcuni parametri della formula con l'effetto di cambiare il disegno, (n7)
 * Le (n3) (n4)(n5) (n6) (n7) (n8) (n9) agiscono principamente sulla la variazione dei colori. 
 * La (n10) regola l'ampiezza del disegno.
 * Mentre i due tasti in fondo scambiano il disegno in monocromo o a colori.
 * 
 * RICORDATI di collegare le varie sezioni di  public double rollr()  e  public double rollsr()  con lo stesso numero che c'è al termine di ogni riga. 
 * Questo ti permetterà di ottenere una vasta serie d'innagini.
 * Ulteriori cambiamenti si ottengono attivando le diverse righe di codice (nzr) e (nzm). oppure quelle di (zrb) e (zi).
 * Infine puoi ottenere altre variazione  con gli (if) di (zr2)  e (zi2).
 * 
 * Con tutte queste variazioni possibili si possono ottenere centinaia di migliia di disegni diversi, magari molto simili ma non uguali.
 * Autore Sergio Savoldelli  04/2019
 * siti internet 
 * www.savoldelli.net
 * www.colognola.com

*/
import javax.swing.*;
import java.awt.*;
import java.awt.Stroke;
import javax.swing.*;          
import java.awt.*;
import java.awt.event.*;
import javax.swing.event.*;
import java.awt.image.*;
//import java.awt.geom.*;
import java.awt.event.AdjustmentEvent;
import java.awt.event.AdjustmentListener;
import java.awt.event.MouseEvent;

import javax.swing.JFrame;
import javax.swing.JLabel;
import javax.swing.JPanel;
import javax.swing.JScrollBar;

import java.util.Date;
import java.util.Locale;
import java.text.DateFormat;

import static java.lang.Math.*;

public class  NewtonFioriBN6 extends JPanel implements MouseListener, MouseMotionListener {

public static void main(String[] args) {
        JFrame windowb = new JFrame(" NewtonFioriBN6 ");
        NewtonFioriBN6 contentb = new  NewtonFioriBN6 ();
        windowb.setContentPane(contentb);

windowb.pack();  
        windowb.setResizable(false);

windowb.setDefaultCloseOperation( JFrame.EXIT_ON_CLOSE );
        windowb.setVisible(true);
    }

public  NewtonFioriBN6 (){
        setPreferredSize(new Dimension(1260,950));

setLayout(new BorderLayout());

JPanel eastPanel = new JPanel();
        
        eastPanel.setLayout(new GridLayout(25, 1));
        eastPanel.setBackground(Color.black);

font = new Font("Helvetica", Font.BOLD, 20);
        sliderLabeld = new Label("");

sliderLabeld.setFont(font);
        sliderLabeld.setBackground(Color.black);
        sliderLabeld.setForeground(Color.red);
        eastPanel.add(sliderLabeld);

font = new Font("Helvetica", Font.BOLD, 20);
        titleLabel = new Label("   NewtonFioriBN6    ", 1);

titleLabel.setFont(font);
        titleLabel.setBackground(Color.blue);
        titleLabel.setForeground(Color.red);
        eastPanel.add(titleLabel);

font = new Font("Helvetica", Font.BOLD, 18);
        titleJLabelb = new JLabel("        Name class    "); 
        titleJLabelb.setFont(font);
        titleJLabelb.setBackground(Color.black);
        titleJLabelb.setForeground(Color.red);
        eastPanel.add(titleJLabelb);

sliderLabel1 = new Label(sliderText1 + Integer.toString (n1));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel1.setFont(font);
        sliderLabel1.setBackground(Color.blue);
        sliderLabel1.setForeground(Color.white);
        eastPanel.add(sliderLabel1);
        scrolls1 = new Scrollbar(Scrollbar.HORIZONTAL, n1, 1, 2, 26);
        scrolls1.setBackground(Color.black);
        scrolls1.setUnitIncrement(1);
        scrolls1.setVisible(true);

eastPanel.add(scrolls1);
        //////////////////////////////////
        //int n2=1;
        sliderLabel2 = new Label(sliderText2 + Integer.toString(n2));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel2.setFont(font);
        sliderLabel2.setBackground(Color.blue);
        sliderLabel2.setForeground(Color.white);
        eastPanel.add(sliderLabel2);
        scrolls2 = new Scrollbar(Scrollbar.HORIZONTAL, n2, 1,1, 27);

scrolls2.setBackground(Color.black);
        eastPanel.add(scrolls2);
        scrolls2.setUnitIncrement(1);
        
        sliderLabel3 = new Label(sliderText3 + Integer.toString(n3));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel3.setFont(font);
        sliderLabel3.setBackground(Color.blue);
        sliderLabel3.setForeground(Color.white);
        eastPanel.add(sliderLabel3);
        scrolls3 = new Scrollbar(Scrollbar.HORIZONTAL, n3, 1,1, 301);
        scrolls3.setBackground(Color.black);
        eastPanel.add(scrolls3);
        scrolls3.setUnitIncrement(1);
        
        sliderLabel4 = new Label(sliderText4 + Integer.toString(n4));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel4.setFont(font);
        sliderLabel4.setBackground(Color.blue);
        sliderLabel4.setForeground(Color.white);
        eastPanel.add(sliderLabel4);
        scrolls4 = new Scrollbar(Scrollbar.HORIZONTAL, n4, 1,1, 256);
        scrolls4.setBackground(Color.black);
        eastPanel.add(scrolls4);
        scrolls4.setUnitIncrement(1);

sliderLabel5 = new Label(sliderText5 + Integer.toString(n5));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel5.setFont(font);
        sliderLabel5.setBackground(Color.blue);
        sliderLabel5.setForeground(Color.white);
        eastPanel.add(sliderLabel5);

scrolls5= new Scrollbar(Scrollbar.HORIZONTAL, n5, 1,1, 256);
        scrolls5.setBackground(Color.black);
        eastPanel.add(scrolls5);
        scrolls5.setUnitIncrement(1);

sliderLabel6 = new Label(sliderText6 + Integer.toString(n6));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel6.setFont(font);
        sliderLabel6.setBackground(Color.blue);
        sliderLabel6.setForeground(Color.white);
        eastPanel.add(sliderLabel6);

scrolls6= new Scrollbar(Scrollbar.HORIZONTAL, n6, 1,1, 629);
        scrolls6.setBackground(Color.black);
        eastPanel.add(scrolls6);
        scrolls6.setUnitIncrement(1);

sliderLabel7 = new Label(sliderText7 + Integer.toString(n7));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel7.setFont(font);
        sliderLabel7.setBackground(Color.blue);
        sliderLabel7.setForeground(Color.white);
        eastPanel.add(sliderLabel7);

scrolls7= new Scrollbar(Scrollbar.HORIZONTAL, n7, 1, 1, 256);
        scrolls7.setBackground(Color.black);
        eastPanel.add(scrolls7);
        scrolls7.setUnitIncrement(1);

sliderLabel8 = new Label(sliderText8 + Integer.toString(n8));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel8.setFont(font);
        sliderLabel8.setBackground(Color.blue);
        sliderLabel8.setForeground(Color.white);
        eastPanel.add(sliderLabel8);

scrolls8= new Scrollbar(Scrollbar.HORIZONTAL, n8, 1,1, 256);
        scrolls8.setBackground(Color.black);
        eastPanel.add(scrolls8);
        scrolls8.setUnitIncrement(1);
        
        sliderLabel9 = new Label(sliderText9 + Integer.toString(n9));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel9.setFont(font);
        sliderLabel9.setBackground(Color.blue);
        sliderLabel9.setForeground(Color.white);
        eastPanel.add(sliderLabel9);

scrolls9= new Scrollbar(Scrollbar.HORIZONTAL, n9, 1,1, 256);
        scrolls9.setBackground(Color.black);
        eastPanel.add(scrolls9);
        scrolls9.setUnitIncrement(1);
        
        sliderLabel10 = new Label(sliderText10 + Integer.toString(n10));
        font = new Font("Helvetica", Font.PLAIN, 15);
        sliderLabel10.setFont(font);
        sliderLabel10.setBackground(Color.blue);
        sliderLabel10.setForeground(Color.white);
        eastPanel.add(sliderLabel10);

scrolls10= new Scrollbar(Scrollbar.HORIZONTAL, n10, 1,350, 1058);
        scrolls10.setBackground(Color.black);
        eastPanel.add(scrolls10);
        scrolls10.setUnitIncrement(1);

////////////////////////////////////////////////////////    
        scrolls1.addAdjustmentListener(new MyAdjustmentListener1());
        scrolls2.addAdjustmentListener(new MyAdjustmentListener2());
        scrolls3.addAdjustmentListener(new MyAdjustmentListener3());
        scrolls4.addAdjustmentListener(new MyAdjustmentListener4());
        scrolls5.addAdjustmentListener(new MyAdjustmentListener5());
        scrolls6.addAdjustmentListener(new MyAdjustmentListener6());
        scrolls7.addAdjustmentListener(new MyAdjustmentListener7());
        scrolls8.addAdjustmentListener(new MyAdjustmentListener8());
         scrolls9.addAdjustmentListener(new MyAdjustmentListener9());
         scrolls10.addAdjustmentListener(new MyAdjustmentListener10());

lineaButton = new JButton("colore");

pixelButton = new JButton("bianco e nero");

lineaButton.setBackground(Color.red);
        pixelButton.setBackground(Color.green);

ActionListener linea = new Linea();
        ActionListener pixel = new Pixel();
        //lineaButton.setVisible(true);
        //pixelButton.setVisible(true);
        
        pixelButton.addActionListener(pixel);
        lineaButton.addActionListener(linea);

eastPanel.add(lineaButton);
        eastPanel.add(pixelButton);
       
        add(BorderLayout.EAST, eastPanel);

}

public class Linea implements ActionListener {

public void actionPerformed(ActionEvent evt) {

String text = (String)evt.getActionCommand();

if (text.equals("colore")){

lineaButton.setBackground(Color.red);
                pixelButton.setBackground(Color.green);

lineaButton.setText("attivo colore");

pixelButton.setText("bianco e nero");

}

as= 1;
                   distz= 100;
            repaint();

}
    }

public class Pixel implements ActionListener {

public void actionPerformed(ActionEvent evt) {

String text = (String)evt.getActionCommand();            
            if (text.equals("bianco e nero")){
                //clea =0.1;
                
               
                pixelButton.setText("attivo monocromo" );
                lineaButton.setBackground(Color.green);
                pixelButton.setBackground(Color.red);

lineaButton.setText("colore");

}
                 distz= 10;
            as= 2;
            repaint();

}
    }

class MyAdjustmentListener1 implements AdjustmentListener {

public void adjustmentValueChanged(AdjustmentEvent e) {

int a1 = e.getValue();
          
            sliderLabel1.setText("n1 = (300 - 1000): "+"    " + Integer.toString(a1));
            n1=  a1; 
            
            xbegin= 0.01; ybegin = 0.00;zoom=2; 
           
            meno=0;menoy=0;

repaint();
        }

}

class MyAdjustmentListener2 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a2 = e.getValue();
            sliderLabel2.setText("n2 = (1 - 253): "  +"    "   + Integer.toString(a2));
            n2= a2; 
           
            xbegin= 0.01; ybegin = 0.0;zoom=2;
            meno=0;menoy=0;
            repaint();
        }

}

class MyAdjustmentListener3 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a3 = e.getValue();
            sliderLabel3.setText(" n3 = (1 - 253): "  +"    "   + Integer.toString(a3));
            n3= a3; 
            
            repaint();
        }

}

class MyAdjustmentListener4 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a4 = e.getValue();
            sliderLabel4.setText(" n4 = (1 - 253): "  +"    "   + Integer.toString(a4));
            n4= a4; 
            
            repaint();
        }

}

class MyAdjustmentListener5 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a5 = e.getValue();
            sliderLabel5.setText("n5 = (1 - 253):"  +"    "   + Integer.toString(a5));
            n5= a5 ;

repaint();
        }

}

class MyAdjustmentListener6 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a6 = e.getValue();
            sliderLabel6.setText("n6 = (1 - 253):"  +"    "   + Integer.toString(a6));
            n6= a6 ;
           
            repaint();
        }

}

class MyAdjustmentListener7 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a7 = e.getValue();
            sliderLabel7.setText("n7 = (1 - 300):"  +"    "   + Integer.toString(a7));
            n7= a7 ;

repaint();
        }

}

class MyAdjustmentListener8 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a8 = e.getValue();
            sliderLabel8.setText("n8 = (350 - 1150):"  +"    "   + Integer.toString(a8));
            n8= a8 ;

repaint();
        }

}
    
     class MyAdjustmentListener9 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a9 = e.getValue();
            sliderLabel9.setText("n9 = (350 - 1150):"  +"    "   + Integer.toString(a9));
            n9= a9 ;

repaint();
        }

}
    
      class MyAdjustmentListener10 implements AdjustmentListener {
        public void adjustmentValueChanged(AdjustmentEvent e) {

int a10 = e.getValue();
            sliderLabel10.setText("n10 = (350 - 1150):"  +"    "   + Integer.toString(a10));
            n10= a10 ;

repaint();
        }

}

public double rollr() {
       
              double r=   cos(dz2)*n7*0.01; 
       
        return r;

}

public double rolls() {
       
             double s=   sin(dz2)*n7*0.01; 
         
        return s;

}

Font font;

String sliderText1 = "n1 = (1 - 25): ";
    String sliderText2 = "n2 = (1 - 25): ";
    String sliderText3 = "n3 = (1 - 300 ) ";
    String sliderText4 = "n4 =(1 - 300): ";
    String sliderText5 = "n5=  (1 - 300 ) ";
    String sliderText6 = "n6= (1 - 300  ";

String sliderText7 = "n7=  (1 - 300 ) ";
    String sliderText8 = " n8= (350 - 1150  ";
     String sliderText9 = " n9= (350 - 1150  ";
      String sliderText10 = " n10= (350 - 1150  ";

public Label sliderLabel1, sliderLabel2, sliderLabel3,  sliderLabel4, sliderLabel5, sliderLabel6, sliderLabel7, sliderLabel8, sliderLabel9, sliderLabel10,
    sliderLabelC2, sliderLabelC,   sliderLabeld, sliderLabele,
    sliderLabelf,   titleLabel, titleLabel2,  sliderLabelg,sliderLabelh, sliderLabeli, sliderLabell;

public JLabel titleJLabelb;
    public double vertx[][],  verty[][],la[], xb[],yb[], chek[];

public Scrollbar scrolls1, scrolls2, scrolls3, scrolls4;
    public Scrollbar scrolls5,  scrolls6, scrolls7,  scrolls8,scrolls9, scrolls10 ;
    
    public double mov1, mov2, mov3, mov4,yz,z,m,n,clea=0.001, maxLoop =85,sdr,sdi,meno,menoy,a,b2,zrb,zi,zr2,zi2,ze,xe2,ye2; 
    public double nx,ny,zrpe,zipe,zru,ziu,dzr,nzr,nzm,zq,dz2,dzm,zr,zm,np,nb,  ciclic,ciclib,ciclia, 
    xreal,yimag,
    zoom=2.0,  dist,distz=10, xbegin= 0.0, ybegin = 0.0,co, se;
    public int  w,h,redcol,greencol,bluecol,v,fiori, condiz, nuovnzrm ;
    public int n1=4,n2=3,n3=80,n4=10,n5 =10, n6=8, n7 =253,n8 = 50, n9= 20, n10= 350,x2,y2, startx,starty,as;
    public int b,p,  nc,cicli,num,nn2,asx,asy,asx2,asy2,nn,colo,nux1,nuy1,c;
    public String power, commenta=" linea", commentab;

public JButton lineaButton;  
    public JButton pixelButton;

public void mouseDragged(MouseEvent e) {

mov1 = e.getX();   mov4 = e.getY();
        z=0.007 ;yz=0.007;
        zb=(zb+z*(mov1-mov2));mov2=mov1;
        //z=(z+0.01*(mov1-mov2));mov2=mov1;
        yzb= (yzb+yz* (mov4-mov3));mov3=mov4;

repaint();
        //// e.consume();
         */
    }

public void paintComponent(Graphics g) {

clea=0.001*n3;

addMouseListener(this);
        addMouseMotionListener(this);
       
        la = new double[2]; xb= new double[2]; yb= new double[2]; chek=new double[2];

w = n10;//
        h = n10;//

Graphics2D g2 = (Graphics2D)g;

BufferedImage bufimage;

Graphics2D bufimagegraf;

bufimage = new BufferedImage(1150, 980, BufferedImage.TYPE_4BYTE_ABGR);
        bufimagegraf= bufimage.createGraphics();
        bufimagegraf.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
        bufimagegraf.setStroke(new BasicStroke(1.0f));
        bufimagegraf.setColor(new Color(0,255,0));
        bufimagegraf.setFont( new Font("Helvetica", Font.PLAIN, 13));

bufimagegraf.setColor(new Color(0,0,0));
       
        bufimagegraf.fillRect(0,0,1150, 980);

m=5;
         if (n1<3) zoom=zoom+15;

maxLoop = 1+ (int) (m*log(zoom));
        b=0;
        
        n=n1;

dist= (3.9999/(w))/zoom;

sdr=0;

nc=n5;

while ( b <= w){

sdi = 0;

sdr =((sdr - dist)); 
            p= 1;
            
            while (p <= h){
                sdi =((sdi + dist));  
                xbegin =  (meno  - sdr ) -(2/zoom);

ybegin = (menoy - sdi )+(2/zoom);

a = xbegin;
                b2 = ybegin;
                zrb= a;
                zi= b2;
                zr2= a;
                zi2=b2;

nx=0;
                ny=0;
                c= 0;

cicli=0;
                do {

n= n;   
                    c= c+1;
                    cicli=cicli+48;

nc= nc;

for (int q = 2; q <= (n-1); q++){  //con questo loop si ottengono tutte le radici meno la radice quadrata,
                        nx = zrb * zr2 - zi *zi2;      // che verrà aggiunta in seguito  con una istruzione condizionale (if) 
                        ny = zrb* zi2 +zr2 * zi;

zrpe = nx;
                        zipe = ny;
                        zrb= nx;
                        zi = ny;

nx = (zrb * zr2 - zi * zi2) ; 
                        ny = (zrb * zi2 + zr2 * zi);

zru = nx;
                        ziu = ny;
                    }
 
                
                 nzr =((n-1)*zru)+n8*0.01;//+0.8; 
                
                
                    nzm =(n-1)*ziu+n8*0.001;
                    dzr= (n * zrpe );
                    dzm= (n*zipe );

dz2 = (dzr*dzr+ dzm*dzm)*(n5*0.1);
                   //  dz2 = (dzr*dzr+ dzm*dzm)+(n5*0.1);

zr =(nzr*dzr+nzm*dzm)/dz2; 
                      zm=( nzm*dzr-nzr*dzm)/dz2;

if (n1<3) {   
                          
                          
                        
                        np = zrb*zrb;
                        nb=  zi*zi;

nx = np -nb;
                        ny = 2*zrb*zi;
                        zru = nx+1;
                        ziu =ny;

dzr =(n8*0.1*zrb);
                        dzm =(n8*0.1*zi);
                        
                        //dzr =((2)*zrb);
                        //dzm =(2)*zi;

dz2 = (dzr*dzr+ dzm*dzm)*(n5*0.1);;

zr =(zru*dzr+ziu*dzm)/dz2; 
                        zm=( ziu*dzr-zru*dzm)/dz2;

}

// zrb = abs(cosh(b*0.0001*n9))*(zr);
                     //  zi =  abs(sinh(b*0.0001*n9))*(zm);
                       
                        zrb = (zr*n9*0.1);
                       zi =  (zm*n9*0.1);
                       
                       fiori=1;
                                     
               
                    zr2 = zr;
                    zi2= zm;
                    np = zrb*zrb;
                    nb=  zi*zi;
                    zq = np+nb;

// if ((abs(zrb*n7)< (clea) |abs (zi*n7) < clea)){// ){ //esplora
                                      
                                       // if ((abs(zq-n7*0.01)< (clea) |abs (zq-n7*0.01) < clea)){//
                                          if ((abs(zq-n7*0.0001)< (clea) |abs (zq-n7*0.0001) < clea)){//
                                 //     if ((abs(zrb*n7)< (clea) | (zi*zi*n7) < clea)){// ){ //esplora anche questo il migliore finora
                                        //   if (((zrb*zrb*n7)< (clea) | (zi*n7) < clea)){// ){ //esplora anche questo il migliore finora
                                          //   if (((zrb*zrb*n7)< (clea) | (zi*zi*n7) < clea)){// ){ //esplora anche questo il migliore finora
                                       
                                       condiz =7 ;
                   
                   
                    c = c + nc;

} 
                    
                 
                  
                    }
                    while (c <= nc );   
               
                 
                   // {ciclic=  abs(zi*cicli+100);ciclib=abs(zq*cicli+100); ciclia= abs(zr*cicli+100);}
                 ciclic=  (zi*zr+cicli*n5);ciclib=(zq+cicli*n6); ciclia= (zr*zr+cicli*n7); //buono come sopra Ho cambiato questa linea Da NewtonFioriZ
                   // ciclic=  abs(zm*cicli*n5);ciclib= abs(zq*cicli*n4); ciclia= abs(zr*cicli*n4);

switch(n2){
                        /** 
                         * Anche qui  aggiungendo o cambiando le variabili, potrete ottenere molte variazioni sul tema.  
                         */
                        case 1:
                       
                        
                       zr2=   log(abs(zm));
                        zi2= log(abs(zr)); 
                        redcol = (int)(abs(10*zr2+cicli*n4))% 255;
                        greencol =(int)(abs(zr2*10+10*zi2+cicli*n4))% 255;
                        bluecol = (int)(abs(zi2*20+n4*cicli*n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                       //4--1--300--21--19--27--1--450
                       
                       //if (distz < 12) bufimagegraf.setColor(new Color(greencol, greencol,greencol));
                       
                       //4--1--6--244--32--26--245--450
                       
                        //if (distz < 12) bufimagegraf.setColor(new Color(bluecol, bluecol,bluecol));
                          //  4--1--4--21--17--16--90--450
                        bufimagegraf.drawLine(b, p,b,p);

bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break ;

case 2:

zr2=   log(abs(zr));
                        zi2= log(abs(zm)); 
                        redcol = (int)(abs(10*zr2+cicli*n4))% 255;
                        greencol =(int)(abs(zr2*20+cicli+n4*zi2))% 255;
                        bluecol = (int)(abs(zi2*50+n4*cicli+n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                       //5--2--300--21--16--7--1--450
                       bufimagegraf.drawLine(b, p,b,p);
                        break ;

case 3:
                        zr2=   log(abs(zm));
                        zi2= log(abs(zr)); 
                        redcol = (int)(abs(zr2*n4+n3*5))% 255;
                        greencol =(int)(abs(zr2+cicli*n3+n7))% 255;
                        bluecol = (int)(abs(zi2*20+n4*5+n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        
                        break ;

case 4:
                        zr2= log(abs(zr));
                        zi2= log(abs(zm)); 
                        redcol = (int)(abs(zr2*n4+n6*cicli))% 255;
                        greencol =(int)(abs(zr2*n4+n4*zi2))% 255;
                        bluecol = (int)(abs(zi2*n4+n6*cicli))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                        // if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                         // 5--4--125--28--10--7--1--450    usa questi parmetri
                         
                          if (distz < 12) bufimagegraf.setColor(new Color(greencol, greencol,greencol));
                        //4--4--1--239--11--6--18--450    usa questi parmetri
                        
                        //if (distz < 12) bufimagegraf.setColor(new Color(bluecol, bluecol,bluecol));
                          //  4--4--10--23--68--13--255--450  usa questi parmetri
                          
                         //   if (distz < 12) bufimagegraf.setColor(new Color(bluecol, bluecol,bluecol));
                          //  4--1--4--21--17--16--90--450  usa questi parmetri
                        bufimagegraf.drawLine(b, p,b,p);
                        
                        break;

case 5:

zr2= log(abs(zr));
                        zi2= log(abs(zm)); 
                        redcol = (int)(abs(zr2*n3+cicli*n4))% 255;
                        greencol =(int)(abs(zr2+cicli))% 255;
                        bluecol = (int)(abs(zi2*n7*cicli))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

case 6:
                        zr2= log(abs(zrb))*n8;
                        zi2= log(abs(zi))*n8; 
                        redcol = (int)(abs(zr2*n6)+n6)% 255;
                        
                        greencol =(int)(abs(zr2+n4*cicli))% 255;
                       
                        bluecol = (int)(abs(zi2*n4+ciclib+n7))% 255; 
                        
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        
                        break;

case 7:
                        zr2= log(abs(zrb))*n8;
                        zi2= log(abs(zi))*n8; 
                        redcol = (int)(abs(zr2*n6)+n6)% 255;
                        
                        //greencol =(int)(abs(zr2+n4*cicli))% 255;
                       
                        bluecol = (int)(abs(zi2*n4+ciclib+n7))% 255; 
                        
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        
                       
                        break;

case 8:

zr2= log(abs(zrb))*n8;
                        zi2= log(abs(zi))*n8; 
                        // zr2= log(abs(zr))*n8;
                        //zi2= log(abs(zm))*n8; 
                        redcol = (int)(abs(zr2*n6)+n6*cicli)% 255;
                        
                        //greencol =(int)(abs(zr2+n4*cicli))% 255;
                       
                        bluecol = (int)(abs(zi2*n4+cicli*n7))% 255; 
                        
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        
                        break;

case 9:

zr2= log(abs(zr))*n7;
                        zi2= log(abs(zm))*n7; 
                        redcol = (int)(abs(zr2+cicli*n4))% 255;
                        
                        greencol =(int)(abs(zr2+cicli*n7))% 255;
                       
                       // bluecol = (int)(abs(zi2+cicli*n4))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

case 10:

zr2= log(abs(zm)); 
                        zi2= log(abs(zr)); 
                        redcol = (int)(abs(zr2*n4+cicli*n7))% 255;
                        greencol =(int)(abs(zr2*n4*zi2+ciclia+n7))% 255;
                        bluecol = (int)(abs(zi2*n5+cicli*n3+n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,0 ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);

break;

case 11:
                        zr2= log(abs(zm)*n7); 
                        zi2= log(abs(zr)*n7); 
                        redcol = (int)(abs(zr2*n5+cicli+n7))% 255;
                        greencol =(int)(abs(zr2*n4*zi2+ciclia+n4))% 255;
                        bluecol = (int)(abs(zi2*n4+cicli*n5+n6))% 255; 
                        bufimagegraf.setColor (new Color(greencol ,0 ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                         //5--11--2--1--6--5--3--150
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

case 12:
                        zr2= log(abs(zi));
                        zi2= log(abs(zrb)); 
                        redcol = (int)(abs(zr2*n4+n7*cicli))% 255;
                       // greencol =(int)(abs(zr2*20+ciclic*n5+n7))% 255;
                        bluecol = (int)(abs(zi2*n4+cicli+zr2*n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol, greencol,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

case 13:
                        zr2= (abs(zrb));// 
                        zi2= (abs(zm)); 
                        redcol = (int)(abs(zr2*n4+cicli*n7))% 255;
                        //greencol =(int)(abs(zr2*n3*zi2+ciclia))% 255;
                        bluecol = (int)(abs(zi2*n5+cicli*n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,0 ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);

break;

case 14:
                       // /*  bello
                        
                        zr2= (abs(zi))*20;//4;
                        zi2= (abs(zrb))*20;//4; 
                        redcol = (int)(abs(zr2*n4+n6*cicli))% 255;
                       // greencol =(int)(abs(zr2+cicli*n5))% 255;
                        bluecol = (int)(abs(zi2*n4+n7+cicli))% 255; 
                        //*/

bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

case 15:
                         zr2=   log(abs(zi));
                        zi2= log(abs(zrb)); 
                        redcol = (int)(abs(zr2*n4+n3*n6))% 255;
                       // greencol =(int)(abs(zr2*n4+cicli*n4))% 255;
                        bluecol = (int)(abs(zi2*n4+n3*n6))% 255; 
                         bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

case 16:
                        
                        
                        
                         zr2= zi*rollr();
                        zi2=  zr*rolls();
                        redcol = (int) abs((cicli*zr2+n7+n6)) % 255;
                        greencol =(int)abs((ciclia+zr2+n4)) % 255;
                        bluecol =(int)abs((n6+ciclib+zi2))%255;  
                        bufimagegraf.setColor(new Color(redcol ,bluecol ,greencol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        break;

case 17:  //colori è meglio
                        zr2= log(abs(zi)); 
                        zi2= log(abs(zrb)); 
                        
                        
                        redcol = (int)(abs(zr2+n4*cicli))% 255;
                       
                      
                         greencol =(int)(abs(zr2*n4+zi2*n6))% 255;
                       
                        bluecol = (int)(abs(zi2+n6*cicli))% 255; 
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                        // if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                         
                           if (distz < 12) bufimagegraf.setColor(new Color(greencol, greencol,greencol));
                        bufimagegraf.drawLine(b, p,b,p);
                        break;

case 18:
                        zr2= log(abs(zq*np));// 
                        zi2= log(abs(zq*nb)); 
                        redcol = (int)(abs(zr2*n4+nb))% 255;
                        
                        greencol =(int)(abs(zr2*n5+np))% 255;
                        
                        bluecol = (int)(abs(zi2*n5))% 255; 
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                                            
                        break;

case 19: 
                        zr2= log(abs(zrb))*0.1;
                        zi2= log(abs(zi))*0.1; 
                       
                        redcol = (int)(abs(zr2*n4*cicli))% 255;
                        greencol =(int)(abs(zr2*n4+zi2*n6))% 255;
                        bluecol = (int)(abs(zi2+n6*cicli))% 255; 
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                        // if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                             if (distz < 12) bufimagegraf.setColor(new Color(greencol, greencol,greencol));
                        bufimagegraf.drawLine(b, p,b,p);
                        break;

case 20:

zr2= log(abs(zrb))*5;
                        zi2= log(abs(zi))*5; 
                        redcol = (int)(abs(zr2*n6)+n6)% 255;
                        
                       // greencol =(int)(abs(zr2+n4*cicli))% 255;
                       
                        bluecol = (int)(abs(zi2*n4+ciclib))% 255; 
                        
                        bufimagegraf.setColor(new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);

break ;

case 21:

zr2= log(abs(zrb))*0.1;
                        zi2= log(abs(zi))*0.1; 
                       
                        redcol = (int)(abs(zr2*n4+cicli+150))% 255;
                        greencol =(int)(abs(zr2*n6+cicli))% 255;
                        bluecol = (int)(abs(zi2*n5+zi*cicli+150))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        
                        break ;

case 22:

zr2= log(abs(zrb))*0.1;
                        zi2= log(abs(zi))*0.1; 
                       
                        redcol = (int)(abs(zr2*n4+cicli+n7))% 255;
                        //greencol =(int)(abs(zr2*n6+cicli))% 255;
                        bluecol = (int)(abs(zi2*n4+cicli*n7))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break ;
                        
                        case 23:

zr2= log(abs(zi))*3;
                        zi2= log(abs(zrb))*3; 
                       
                         redcol = (int)(abs(zr2*n4+cicli+n7))% 255;
                        //greencol =(int)(abs(zr2*cicli+100+n3))% 255;
                        bluecol = (int)(abs(zi2*n4+cicli+n7))% 255;  
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                        
                        break ;
                        
                        
                         case 24:
                        zr2= log(abs(zrb))*2;
                        zi2= log(abs(zi))*2; 
                       
                        redcol = (int)(abs(zr2*n4+cicli*n4))% 255;
                        greencol =(int)(abs(zi2*n6+cicli*n6))% 255;
                        bluecol = (int)(abs(zi2*n7+cicli*n4))% 255; 
                        
                        
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);

break ;
                        
                         case 25:
                        zr2= log(abs(zrb*2))*2;
                        zi2= log(abs(zi*2))*2; 
                        redcol = (int)(abs(zr2*n7+cicli))% 255;
                        greencol =(int)(abs(zr2+n6*cicli))% 255;
                        bluecol = (int)(abs(zi2*n4+cicli+n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);
                       
                        break;

default:
                         zr2= log(abs(zrb*n7))*2;
                        zi2= log(abs(zi*n7))*2; 
                        redcol = (int)(abs(zr2*n4+cicli))% 255;
                        greencol =(int)(abs(zr2+n6*cicli))% 255;
                        bluecol = (int)(abs(zi2*n4+cicli+n6))% 255; 
                        bufimagegraf.setColor (new Color(redcol ,greencol ,bluecol ));
                         if (distz < 12) bufimagegraf.setColor(new Color(redcol, redcol,redcol));
                        bufimagegraf.drawLine(b, p,b,p);

break;

}

p =(p+1);

}
                b =(b+1);

}

maxLoop=50; la[1]= zoom; xb[1]= meno; yb[1]= menoy; 
          
        Date today = new Date();

Locale[]locale  = {Locale.ITALY};
        int[]styles = {DateFormat.MEDIUM};
        DateFormat fmt;
        fmt= DateFormat.getDateInstance(styles[0], locale[0]);
       // showStatus( " zoom =    " +zoom  );
        bufimagegraf.setColor(new Color(255,255,255)); 
        font = new Font("Helvetica", Font.PLAIN, 18);
         bufimagegraf.setFont(font);

bufimagegraf.drawString ( ""+ fmt.format(today), 30,h); 
         bufimagegraf.drawString ( "    NewtonFioriBN5 -  zoom = " +zoom +    "           fiori =" +fiori+ "        condiz = " + condiz +  "           "
         + fmt.format(today), 40,15);
       bufimagegraf.drawString ( "  NewtonFioriBN6 -  zoom = " + (int)zoom , w/2-40,h);

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

}

public void mouseClicked(MouseEvent evt) {  
            Object source = evt.getSource();  
            zoom= la[1]; 
            dist= (3.9999/n10)/(zoom);

if(evt.getButton() == MouseEvent.BUTTON3){
                nc=nc/3;
                zoom =zoom/2;
                maxLoop= maxLoop /2;
                meno= xb[1] ;  menoy=yb[1]; 
                if (maxLoop < 80)maxLoop=80;
            }
            if(evt.getButton() == MouseEvent.BUTTON2){
                m = n3; maxLoop= maxLoop *2;//zoom =zoom/2;
                zoom =zoom/1.5;
            }
            if(evt.getButton() == MouseEvent.BUTTON1){
                nc=nc*3;
                zoom =zoom *2;  
                meno= xb[1] ;  menoy=yb[1]; 
                m = n3;
                int startx = evt.getX();
                int starty = evt.getY();

if (startx >= (w/2)) {
                    int startx2= startx -(w/2);
                    meno =meno + ((startx2)* (dist));

} else{ if (startx < (w/2)) {
                        int  startx2 = (w/2) - startx;
                        meno =meno - (startx2* (dist));

}

if (starty >= (w/2)) {
                    int starty2= starty -(w/2);
                    menoy =menoy -((starty2)* (dist));

} else{ if (starty <(w/2)) {
                        int  starty2 = (w/2) - starty;
                        menoy =menoy + (starty2* (dist));

}

}  
            repaint();
        } 
        public void mousePressed(MouseEvent e) { }

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) {}
    }

//}

Queste immagini le potete ottenere con questo programma.

img. 1

img. 2

img. 3

img. 4

Listato per ottenere immagini fantasiose usando il metodo di Newton per avere le radici di un numero complesso