Class Mandelbrot

java.lang.Object
  java.awt.Component
      java.awt.Container
          java.awt.Panel
              java.applet.Applet
                  javax.swing.JApplet
                      Mandelbrot

All Implemented Interfaces:

java.awt.event.ActionListener, java.awt.event.MouseListener, java.awt.event.MouseMotionListener, java.awt.image.ImageObserver, java.awt.MenuContainer, java.io.Serializable, java.util.EventListener, javax.accessibility.Accessible, javax.swing.RootPaneContainer

public class Mandelbrot
extends javax.swing.JApplet
implements java.awt.event.MouseListener, java.awt.event.MouseMotionListener, java.awt.event.ActionListener

This applet class was developed as our entry into the University of Toronto's 2009 Showcase Fair. It incorporates fixed point mathematics routines to render the images as quickly as possible by avoiding floating point calculations. In addition, colour selections from the palette are made with the help of the Normalized Iteration Count Algorithm (NICA) to avoid the dramatic banding that detracts from the overall appearance.

A panel showing the Julia Set corresponding to the location of the mouse appears to the right on the Mndelbrot panel.

Dynamic orbits can be turned on to reveal a sense of the dynamic behaviour that lies at the heart of the Sets.

Date: 2009 02 15

Author:

Chris Black, Rothman Ng, Severin Tsuji, and Matt Weldon; A.C.E.S.

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class java.awt.Component

java.awt.Component.BaselineResizeBehavior

Field Summary

Fields inherited from class java.awt.Component

BOTTOM_ALIGNMENT, CENTER_ALIGNMENT, LEFT_ALIGNMENT, RIGHT_ALIGNMENT, TOP_ALIGNMENT

Fields inherited from interface java.awt.image.ImageObserver

ABORT, ALLBITS, ERROR, FRAMEBITS, HEIGHT, PROPERTIES, SOMEBITS, WIDTH

Constructor Summary

Mandelbrot()

Method Summary

void	actionPerformed(java.awt.event.ActionEvent e) Performs the various actions depending on which button was pressed.
void	createGUI() Constructs the GUI interface.
void	createPalette() Creates a sinusoidal palette, which allows for smooth colour transitions in the fractal.
void	init() Initializes the applet.
void	mouseClicked(java.awt.event.MouseEvent e) If the mouse if clicked, the point in the mandelbrot that was clicked is automatically centered in the mandelbrot panel.
void	mouseDragged(java.awt.event.MouseEvent e)
void	mouseEntered(java.awt.event.MouseEvent e)
void	mouseExited(java.awt.event.MouseEvent e)
void	mouseMoved(java.awt.event.MouseEvent e) If the mouse is moved and either julia, julia orbits or orbitals is on, they will adjust accordingly.
void	mousePressed(java.awt.event.MouseEvent e)
void	mouseReleased(java.awt.event.MouseEvent e)
void	paint(java.awt.Graphics g) The initial paint method.

Methods inherited from class javax.swing.JApplet

getAccessibleContext, getContentPane, getGlassPane, getGraphics, getJMenuBar, getLayeredPane, getRootPane, getTransferHandler, remove, repaint, setContentPane, setGlassPane, setJMenuBar, setLayeredPane, setLayout, setTransferHandler, update

Methods inherited from class java.applet.Applet

destroy, getAppletContext, getAppletInfo, getAudioClip, getAudioClip, getCodeBase, getDocumentBase, getImage, getImage, getLocale, getParameter, getParameterInfo, isActive, newAudioClip, play, play, resize, resize, setStub, showStatus, start, stop

Methods inherited from class java.awt.Panel

addNotify

Methods inherited from class java.awt.Container

add, add, add, add, add, addContainerListener, addPropertyChangeListener, addPropertyChangeListener, applyComponentOrientation, areFocusTraversalKeysSet, countComponents, deliverEvent, doLayout, findComponentAt, findComponentAt, getAlignmentX, getAlignmentY, getComponent, getComponentAt, getComponentAt, getComponentCount, getComponents, getComponentZOrder, getContainerListeners, getFocusTraversalKeys, getFocusTraversalPolicy, getInsets, getLayout, getListeners, getMaximumSize, getMinimumSize, getMousePosition, getPreferredSize, insets, invalidate, isAncestorOf, isFocusCycleRoot, isFocusCycleRoot, isFocusTraversalPolicyProvider, isFocusTraversalPolicySet, layout, list, list, locate, minimumSize, paintComponents, preferredSize, print, printComponents, remove, removeAll, removeContainerListener, removeNotify, setComponentZOrder, setFocusCycleRoot, setFocusTraversalKeys, setFocusTraversalPolicy, setFocusTraversalPolicyProvider, setFont, transferFocusBackward, transferFocusDownCycle, validate

Methods inherited from class java.awt.Component

action, add, addComponentListener, addFocusListener, addHierarchyBoundsListener, addHierarchyListener, addInputMethodListener, addKeyListener, addMouseListener, addMouseMotionListener, addMouseWheelListener, bounds, checkImage, checkImage, contains, contains, createImage, createImage, createVolatileImage, createVolatileImage, disable, dispatchEvent, enable, enable, enableInputMethods, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, firePropertyChange, getBackground, getBaseline, getBaselineResizeBehavior, getBounds, getBounds, getColorModel, getComponentListeners, getComponentOrientation, getCursor, getDropTarget, getFocusCycleRootAncestor, getFocusListeners, getFocusTraversalKeysEnabled, getFont, getFontMetrics, getForeground, getGraphicsConfiguration, getHeight, getHierarchyBoundsListeners, getHierarchyListeners, getIgnoreRepaint, getInputContext, getInputMethodListeners, getInputMethodRequests, getKeyListeners, getLocation, getLocation, getLocationOnScreen, getMouseListeners, getMouseMotionListeners, getMousePosition, getMouseWheelListeners, getName, getParent, getPeer, getPropertyChangeListeners, getPropertyChangeListeners, getSize, getSize, getToolkit, getTreeLock, getWidth, getX, getY, gotFocus, handleEvent, hasFocus, hide, imageUpdate, inside, isBackgroundSet, isCursorSet, isDisplayable, isDoubleBuffered, isEnabled, isFocusable, isFocusOwner, isFocusTraversable, isFontSet, isForegroundSet, isLightweight, isMaximumSizeSet, isMinimumSizeSet, isOpaque, isPreferredSizeSet, isShowing, isValid, isVisible, keyDown, keyUp, list, list, list, location, lostFocus, mouseDown, mouseDrag, mouseEnter, mouseExit, mouseMove, mouseUp, move, nextFocus, paintAll, postEvent, prepareImage, prepareImage, printAll, remove, removeComponentListener, removeFocusListener, removeHierarchyBoundsListener, removeHierarchyListener, removeInputMethodListener, removeKeyListener, removeMouseListener, removeMouseMotionListener, removeMouseWheelListener, removePropertyChangeListener, removePropertyChangeListener, repaint, repaint, repaint, requestFocus, requestFocusInWindow, reshape, setBackground, setBounds, setBounds, setComponentOrientation, setCursor, setDropTarget, setEnabled, setFocusable, setFocusTraversalKeysEnabled, setForeground, setIgnoreRepaint, setLocale, setLocation, setLocation, setMaximumSize, setMinimumSize, setName, setPreferredSize, setSize, setSize, setVisible, show, show, size, toString, transferFocus, transferFocusUpCycle

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Mandelbrot

public Mandelbrot()

Method Detail

init

public void init()

Initializes the applet. Creates the palette and the GUI interface.

Overrides:

init in class java.applet.Applet

createPalette

public void createPalette()

Creates a sinusoidal palette, which allows for smooth colour transitions in the fractal. The method fills an array with various integer values representing different colours. The drawJulia and drawMandelbrot simply accesses one of the colours before painting a pixel.

createGUI

public void createGUI()

Constructs the GUI interface. There are three panels, the mandelPanel, the juliaPanel and the controlPanel. The mandelPanel is where the mandelbrot is drawn, julia is drawn in the juliaPanel and all the buttons are located in the controlPanel.

paint

public void paint(java.awt.Graphics g)

The initial paint method. Paints the mandelbrot and the basic julia set. Called during initialization.

Overrides:

paint in class java.awt.Container

Parameters:

g - The graphics for the screen.

actionPerformed

public void actionPerformed(java.awt.event.ActionEvent e)

Performs the various actions depending on which button was pressed. param e The event which happened.

Specified by:

actionPerformed in interface java.awt.event.ActionListener

mouseClicked

public void mouseClicked(java.awt.event.MouseEvent e)

If the mouse if clicked, the point in the mandelbrot that was clicked is automatically centered in the mandelbrot panel.

Specified by:

mouseClicked in interface java.awt.event.MouseListener

mouseDragged

public void mouseDragged(java.awt.event.MouseEvent e)

Specified by:

mouseDragged in interface java.awt.event.MouseMotionListener

mouseMoved

public void mouseMoved(java.awt.event.MouseEvent e)

If the mouse is moved and either julia, julia orbits or orbitals is on, they will adjust accordingly.

Specified by:

mouseMoved in interface java.awt.event.MouseMotionListener

mousePressed

public void mousePressed(java.awt.event.MouseEvent e)

Specified by:

mousePressed in interface java.awt.event.MouseListener

mouseReleased

public void mouseReleased(java.awt.event.MouseEvent e)

Specified by:

mouseReleased in interface java.awt.event.MouseListener

mouseEntered

public void mouseEntered(java.awt.event.MouseEvent e)

Specified by:

mouseEntered in interface java.awt.event.MouseListener

mouseExited

public void mouseExited(java.awt.event.MouseEvent e)

Specified by:

mouseExited in interface java.awt.event.MouseListener