Class RiemannSums

  extended by java.awt.Component
      extended by java.awt.Container
          extended by java.awt.Panel
              extended by java.applet.Applet
                  extended by javax.swing.JApplet
                      extended by net.sourceforge.webcompmath.applets.GenericGraphApplet
                          extended by net.sourceforge.webcompmath.applets.RiemannSums
All Implemented Interfaces:
java.awt.event.ActionListener, java.awt.event.ItemListener, java.awt.image.ImageObserver, java.awt.MenuContainer,, 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
Nested classes/interfaces inherited from class java.applet.Applet
Nested classes/interfaces inherited from class java.awt.Panel
Nested classes/interfaces inherited from class java.awt.Container
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
Fields inherited from interface java.awt.image.ImageObserver
Constructor Summary
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
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


public RiemannSums()
Method Detail


protected void setUpParameterDefaults()
Override to give a different default function

setUpParameterDefaults in class GenericGraphApplet


protected void setUpCanvas()
Override this to add more stuff to the canvas.

setUpCanvas in class GenericGraphApplet


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.)

setUpMainPanel in class GenericGraphApplet


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).

doLoadExample in class GenericGraphApplet
example - the function to be graphed