net.sourceforge.webcompmath.applets
Class RiemannSums

java.lang.Object
  java.awt.Component
      java.awt.Container
          java.awt.Panel
              java.applet.Applet
                  javax.swing.JApplet
                      net.sourceforge.webcompmath.applets.GenericGraphApplet
                          net.sourceforge.webcompmath.applets.RiemannSums

All Implemented Interfaces:

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

public class RiemannSums
extends GenericGraphApplet

The RiemannSums applet computes a Riemann sum for a given function and displays the sum and the rectangles that define the sum. In choosing the rectangles, it can use: Left endpoint rule, Midpoint rule, Right endpoint rule, Inscribed rectangles, Circumscribed rectangles, or the Trapezoid rule. (Yes, I know that the trapezoid rule is not exactly a Riemann sum.) The methods that use inscribed and circumscribed rectangles are shown in the menu as "~Inscribed" and "~Circumscribed". The "~" here means "approximate," and it's there since the minimum and maximum of a function on an interval is not always computed exactly.

You can also show the area between two curves by specifying a lower function. In addition, you can specify left and right limits.

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class javax.swing.JApplet

javax.swing.JApplet.AccessibleJApplet

Nested classes/interfaces inherited from class java.applet.Applet

java.applet.Applet.AccessibleApplet

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

java.awt.Panel.AccessibleAWTPanel

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

java.awt.Container.AccessibleAWTContainer

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

java.awt.Component.AccessibleAWTComponent, java.awt.Component.BaselineResizeBehavior, java.awt.Component.BltBufferStrategy, java.awt.Component.FlipBufferStrategy

Field Summary

Fields inherited from class net.sourceforge.webcompmath.applets.GenericGraphApplet

canvas, computeButton, defaultFrameSize, exampleMenuPanel, fontSize, frameTitle, functionInput, ggBGColor, ggFGColor, inputPanel, lbf, limitsPanel, mainController, mainPanel, parameterDefaults, parser, pBGColor, presentation, xVar

Fields inherited from class javax.swing.JApplet

accessibleContext, rootPane, rootPaneCheckingEnabled

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

RiemannSums()

Method Summary

protected void	doLoadExample(java.lang.String example) This method is called when the user loads an example from the example menu (if there is one).
protected void	setUpCanvas() Override this to add more stuff to the canvas.
protected void	setUpMainPanel() Override this method to add the methodChoice menu and interval count inputs, if any, to the panel.
protected void	setUpParameterDefaults() Override to give a different default function

Methods inherited from class net.sourceforge.webcompmath.applets.GenericGraphApplet

actionPerformed, addCanvasBorder, destroy, doLoadFirstExample, getColorParam, getColorParam, getNumericParam, getNumericParam, getParameter, getParameter, init, itemStateChanged, makeAxes, parseTableFuncDef, setUpBottomPanel, setUpExampleMenu, setUpLimitsPanel, setUpParser, setUpTopPanel

Methods inherited from class javax.swing.JApplet

addImpl, createRootPane, getAccessibleContext, getContentPane, getGlassPane, getGraphics, getJMenuBar, getLayeredPane, getRootPane, getTransferHandler, isRootPaneCheckingEnabled, paramString, remove, repaint, setContentPane, setGlassPane, setJMenuBar, setLayeredPane, setLayout, setRootPane, setRootPaneCheckingEnabled, setTransferHandler, update

Methods inherited from class java.applet.Applet

getAppletContext, getAppletInfo, getAudioClip, getAudioClip, getCodeBase, getDocumentBase, getImage, getImage, getLocale, 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, paint, paintComponents, preferredSize, print, printComponents, processContainerEvent, processEvent, remove, removeAll, removeContainerListener, removeNotify, setComponentZOrder, setFocusCycleRoot, setFocusTraversalKeys, setFocusTraversalPolicy, setFocusTraversalPolicyProvider, setFont, transferFocusBackward, transferFocusDownCycle, validate, validateTree

Methods inherited from class java.awt.Component

action, add, addComponentListener, addFocusListener, addHierarchyBoundsListener, addHierarchyListener, addInputMethodListener, addKeyListener, addMouseListener, addMouseMotionListener, addMouseWheelListener, bounds, checkImage, checkImage, coalesceEvents, contains, contains, createImage, createImage, createVolatileImage, createVolatileImage, disable, disableEvents, dispatchEvent, enable, enable, enableEvents, enableInputMethods, firePropertyChange, firePropertyChange, firePropertyChange, 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, processComponentEvent, processFocusEvent, processHierarchyBoundsEvent, processHierarchyEvent, processInputMethodEvent, processKeyEvent, processMouseEvent, processMouseMotionEvent, processMouseWheelEvent, remove, removeComponentListener, removeFocusListener, removeHierarchyBoundsListener, removeHierarchyListener, removeInputMethodListener, removeKeyListener, removeMouseListener, removeMouseMotionListener, removeMouseWheelListener, removePropertyChangeListener, removePropertyChangeListener, repaint, repaint, repaint, requestFocus, requestFocus, requestFocusInWindow, 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

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

RiemannSums

public RiemannSums()

Method Detail

setUpParameterDefaults

protected void setUpParameterDefaults()

Override to give a different default function

Overrides:

setUpParameterDefaults in class GenericGraphApplet

setUpCanvas

protected void setUpCanvas()

Override this to add more stuff to the canvas.

Overrides:

setUpCanvas in class GenericGraphApplet

setUpMainPanel

protected void setUpMainPanel()

Override this method to add the methodChoice menu and interval count inputs, if any, to the panel. (They were created in the setUpCanvas method.)

Overrides:

setUpMainPanel in class GenericGraphApplet

doLoadExample

protected void doLoadExample(java.lang.String example)

This method is called when the user loads an example from the example menu (if there is one). It overrides an empty method in GenericGraphApplet. For this applet, the example string should contain an expression that defines the function to be graphed. This can optionally be followed by a semicolon and a list of four or five numbers. The first four numbers give the x- and y- limits to be used for the example. The fifth number, if present, gives the interval count. After the numbers, there can be another semicolon and the name of the summation method to be used. Optionally, there can then be another semicolon followed by a definition of the lower function (which is only valid if you have also specified either UseLower or LowerFunction). Optionally again, there can be another semicolon followed by a pair of comma separated numbers representing the lower and upper integration limits (which is only valid if you have also specified either UseLimits or IntegrationLimits).

Overrides:

doLoadExample in class GenericGraphApplet

Parameters:

example - the function to be graphed