The Ackermann function should be added in the code to draw the function's graph. Look at the bolded code the other part just builds the graphics.

import java.awt.Color;

import java.awt.Container;

import java.awt.Dimension;

import java.awt.Font;

import java.awt.Graphics;

import java.awt.event.ActionEvent;

import java.awt.event.ActionListener;

import javax.swing.JApplet;

import javax.swing.JButton;

import javax.swing.JTextField;

public class StudentExampleActionListener extends JApplet implements ActionListener

{

private static final long serialVersionUID = 1L;

private static int temp;

private static int count;

private static int countTotal = 0;

int forColor = 1;

int m, n;

boolean paint = false;

Font titleFont;

Font regularFont;

//*** two buttons are declared

JButton DrawLinesButton;

JButton clearLinesButton;

//*** two input values declared

JTextField inputLineNumber1;

JTextField inputLineNumber2;

Container contentPane;

//*** all JApplet have a method paint to draw the graphics

//*** Graphics object is brought in

//*** paint() is automatically called

public void paint (Graphics page)

{

if(!paint)

graphInitialize(page);

super.paint(page);

setBackground(Color.WHITE);

graph(page);

}

//*** The Applet class defines a method that is essential for programming applets,

//*** the init() method. This method is called just after the applet object has

//*** been created and before it appears on the screen. Its purpose is to give

//*** the applet a chance to do any necessary initialization. This method is

//*** called by the system, not by your program. Your job as a programmer

//*** is just to provide a definition of the init() method.

public void init()

{

System.out.println("init has been called");

contentPane = getContentPane();

contentPane.setLayout(null);

//*** 32 and 18 are pixel size

titleFont = new Font("Arial", Font.BOLD, 32);

regularFont = new Font("Arial", Font.PLAIN, 18);

//*** memory is allocated for Button

DrawLinesButton = new JButton("Draw Lines");

//*** this button is active and will be read

//*** by method actionPerformed(ActionEvent e)

DrawLinesButton.addActionListener(this);

//*** Location of button is created

DrawLinesButton.setBounds(350,550,150,40);

//*** memory is allocated for Button

clearLinesButton = new JButton("Clear Lines");

//*** this button is active and will be read

//*** by method actionPerformed(ActionEvent e)

clearLinesButton.addActionListener(this);

//*** Location of button is created

clearLinesButton.setBounds(350,600,150,40);

//*** setBounds() creates the input box

//*** memory is allocated for TextField

inputLineNumber1 = new JTextField(15);

//*** Location of TextField is created

inputLineNumber1.setBounds(210,560,50,30);

//*** memory is allocated for TextField

inputLineNumber2 = new JTextField(15);

//*** Location of TextField is created

inputLineNumber2.setBounds(210,590,50,30);

//*** add them to contentPane

contentPane.add(DrawLinesButton);

contentPane.add(clearLinesButton);

contentPane.add(inputLineNumber1);

contentPane.add(inputLineNumber2);

}

public void graphInitialize (Graphics page)

{

Graphics g = getGraphics();

Color c = getBackground();

g.setColor(c);

for(int x=0;x<1250;x++)

g.drawLine (x,900, x,0);

System.out.println("graphInitialize has been called");

page.setColor(Color.BLACK);

page.setFont(titleFont);

page.setFont(regularFont);

//*** Strings line up with setBounds for each JTextField

// page.drawString("Enter line number 1: ",40, 580);

// page.drawString("Enter line number 2: ",40, 610);

//*** initialize input to 0

inputLineNumber1.setText("0");

inputLineNumber2.setText("0");

}

public void graph(Graphics page)

{

System.out.println("graph has been called");

if(!inputLineNumber1.getText().equals("")&&!inputLineNumber2.getText().equals(""))

{

//*** text must be changed to int using the wrapper class Integer

int lineNumber1 = Integer.parseInt(inputLineNumber1.getText());

int lineNumber2 = Integer.parseInt(inputLineNumber2.getText());

//*** method called here

int result = drawLines(lineNumber1, lineNumber2, page);

//*** method called here

//*** 3 strings are placed in the window

page.setColor(Color.BLACK);

page.setFont(titleFont);

page.drawString("Practice Graph", 540, 50);

page.setFont(regularFont);

page.drawString("Number of lines: " + result, 600, 580);

page.drawString("Value of lines again: " + result, 600, 610);

page.drawString("Enter line number 1: ",40, 580);

page.drawString("Enter line number 2: ",40, 610);

}

}

private int drawLines(int lineNumber1, int lineNumber2, Graphics page)

{ //*********************************************************

//*** this method could be the recursive Ackermann function

//*********************************************************

count = 200;

countTotal = 0;

setNewColor(page,(int) (Math.random() * 12)+1);

for(int i=0;i

{

page.drawLine (count,500, count,400);

count++;

countTotal++;

}

setNewColor(page,(int) (Math.random() * 12)+1);

for(int i=0;i

{

page.drawLine (count,500, count,300);

count++;

countTotal++;

}

return countTotal;

}

private void setNewColor(Graphics page, int forColor)

{

switch (forColor)

{

case 1:

page.setColor(Color.BLACK);

break;

case 2:

page.setColor(Color.BLUE);

break;

case 3:

page.setColor(Color.CYAN);

break;

case 4:

page.setColor(Color.DARK_GRAY);

break;

case 5:

page.setColor(Color.GRAY);

break;

case 6:

page.setColor(Color.GREEN);

break;

case 7:

page.setColor(Color.LIGHT_GRAY);

break;

case 8:

page.setColor(Color.DARK_GRAY);

break;

case 9:

page.setColor(Color.MAGENTA);

break;

case 10:

page.setColor(Color.ORANGE);

break;

case 11:

page.setColor(Color.PINK);

break;

case 12:

page.setColor(Color.YELLOW);

break;

}

}

public void actionPerformed(ActionEvent e)

{

//*** buttons are active

String actionCommand = e.getActionCommand();

//*** one of two possible values of actionCommand

if (actionCommand.equalsIgnoreCase("Draw Lines"))

{

System.out.println("Draw Lines has been called");

paint = true;

countTotal = 0;

count = 0;

repaint();//*** method paint() is called again

}

else if (actionCommand.equalsIgnoreCase("Clear Lines"))

{

System.out.println("Clear Lines has been called");

this.clear();

inputLineNumber1.setText("");

inputLineNumber2.setText("");

}

}

public void clear()

{

//*** Graphics object is gotten

Graphics g = getGraphics();

Color c = getBackground();

g.setColor(c);

//*** lines of the background color cover up the image

for(int i=100;i<1250;i++)

g.drawLine (i,500, i,150);

for(int i=600;i<1000;i++)

g.drawLine (i,700, i,75);

}

}