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Animated Graph

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

// An applet belonging to the class AnimatedGraph displays a graph // of a function that can depend on a parameter. The value of the // parameter can be "animated" so that it ranges from one value ot // another over a sequence of frames. import java.awt.*; import java.applet.Applet; import java.util.*; import edu.hws.jcm.draw.*; import edu.hws.jcm.data.*; import edu.hws.jcm.functions.*; import edu.hws.jcm.awt.*;

public class AnimatedGraph extends GenericGraphApplet {

  // Declare some private variables that are created in one method in
  // this class and used in a second method.
  private Function func;   // The function that is graphed.
  private Graph1D graph;   // The graph of the function.
  
  private Animator animator; // Animates the graph
  private Variable kVar;   // The parameter variable
  
  private VariableInput kMin, kMax, kIntervals;  // min, max, and number of intervals for the animator.  Might be null.
  protected void setUpParser() {  // Override this to create the animator and add its variable to the parser.
  
     int options = Animator.START_STOP_BUTTON | Animator.PAUSE_BUTTON  | Animator.LOOP_CHOICE;
     if  ( ! "no".equalsIgnoreCase(getParameter("UseNextAndPrev","yes")) )
        options |=  Animator.PREV_BUTTON | Animator.NEXT_BUTTON;
     animator = new Animator(options);
     kVar = animator.getValueAsVariable( getParameter("Parameter","k") );   
     parser.add(kVar);
     
     super.setUpParser();
     parameterDefaults = new Hashtable();
     String defaultFunction = xVar.getName() + " / (" + kVar.getName() + " - " + xVar.getName() + "^2)";
     parameterDefaults.put("Function",defaultFunction);
     if (! "no".equalsIgnoreCase(getParameter("UseAnimatorInputs")))
        parameterDefaults.put("TwoLimitsColumns","yes"); // change default if we need space for animator inputs
     
  } // end setUpParser()
  
  protected void setUpBottomPanel() {  // Overridden to add the sliders at the bottom of the applet.
     super.setUpBottomPanel();  // Do the default setup.
     
     // If there is a functionInput box, then the SOUTH position of the mainPanel already contains
     // the inputPanel that contains that box.  If so, add the animator to the SOUTH position of
     // the inputPanel.  (This is a good place, in general, to put extra input objects.)
     // If there is no inputPanel, then the SOUTH position of the mainPanel is empty, so put
     // the animator there.
     
     if (inputPanel != null)
        inputPanel.add(animator, BorderLayout.SOUTH);
     else
        mainPanel.add(animator, BorderLayout.SOUTH);
  } // end setUpBottomPanel()
  protected void setUpCanvas() { // Overridden to add the graph to the canvas and do other chores.
     super.setUpCanvas();  // Do the default setup.
     // When setUpCanvas() is called, the functionInput already exists, if one is
     // to be used, since it is created in setUpBopttomPanel(), which is called
     // before setUpCanvas.  If functionInput exists, add a graph of the function
     // from functionInput to the canvas.  If not, create a graph of the function
     // specified by the parameter named "Function" (or use sin(k*x) if none is specified).
     if (functionInput != null)
        func = functionInput.getFunction(xVar);
     else {
        String def = getParameter("Function");  // default value is set in setUpParser()
        func = new SimpleFunction( parser.parse(def), xVar );
     }
     // Create a graph of the function and add it to the canvas.
     
     graph = new Graph1D(func);
     graph.setColor(getColorParam("GraphColor", Color.magenta));
     canvas.add(graph);
     
     // Set up the min, max, and intervals property of the animator
     
     if  (! "no".equalsIgnoreCase(getParameter("UseAnimatorInputs"))) {
        kMin = new VariableInput(kVar.getName() + "Start",getParameter("ParameterMin","-2"));
        kMax = new VariableInput(kVar.getName() + "End",getParameter("ParameterMax","2"));
        kIntervals = new VariableInput("Intervals", getParameter("Intervals","25"));
        kIntervals.setInputStyle(VariableInput.INTEGER);
        kIntervals.setMin(1);
        kIntervals.setMax(1000);
        kMin.setOnUserAction(mainController);
        kMax.setOnUserAction(mainController);
        kIntervals.setOnUserAction(mainController);
        animator.setMin(kMin);
        animator.setMax(kMax);
        animator.setIntervals(kIntervals);
        if (limitsPanel != null) {
              // componets will be added to limitsPanel in setUpLimitsPanel()
           mainController.add(kMin);  // This is not done automatically, since they are in a limits panel  
           mainController.add(kMax);
           mainController.add(kIntervals);
        }
        else {
           JCMPanel ap = new JCMPanel(9,0);
           ap.setBackground(getColorParam("PanelBackground", Color.lightGray));
           ap.add(new Label(kMin.getName()));
           ap.add(kMin);
           ap.add(new Label());
           ap.add(new Label(kMax.getName()));
           ap.add(kMax);
           ap.add(new Label());
           ap.add(new Label(kIntervals.getName()));
           ap.add(kIntervals);
           ap.add(new Label());
           mainPanel.add(ap,BorderLayout.EAST);
        }
     }
     else {
        try {
           animator.setMin( (new Double(getParameter("ParameterMin","-2"))).doubleValue() );
           animator.setMax( (new Double(getParameter("ParameterMax","2"))).doubleValue() );
           animator.setIntervals( (int)Math.round((new Double(getParameter("Intervals","25"))).doubleValue()) );
        }
        catch (NumberFormatException e) {
        }
     }
     animator.setOnChange(mainController);
     // Add a DrawString to show the current value of the parameter
     if ( ! "no".equalsIgnoreCase(getParameter("ShowParameter","yes")) ) {
        DrawString param = new DrawString(kVar.getName() + " = #", DrawString.BOTTOM_LEFT, new Value[] { kVar });
        param.setBackgroundColor(canvas.getBackground());
        Color c = getColorParam("ParameterColor",Color.black);
        param.setColor(c);
        canvas.add(param);
     }
  } // end setUpCanvas
  protected void setUpLimitsPanel() {
    super.setUpLimitsPanel();
    if (limitsPanel != null && kMin != null) {  // add animator inputs to limits panel
        limitsPanel.addComponentPair(kMin,kMax);
        limitsPanel.addComponent(kIntervals);
    }
  }

  protected void doLoadExample(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 the AnimatedGraph 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 to nine numbers.
        // The first four numbers give the x- and y-limits to be used for the
        // example.  If they are not present, then -5,5,-5,5 is used.  The
        // next three numbers specify the minimum value for the parameter, the
        // maximum number, and the number of intervals in the animation.
        // The eigth number, if present, specifies the starting loop style
        // for the animation with the following code:  0 for once-through,
        // 1 for loop, and 2 for back-and-forth.  The ninth number, if
        // present, tells whether to start the animation immediately upon
        // loading.  If it is 1, the animation is started.  If it is
        // not specified or is any value other than 1, the animation is not started.
        
     animator.stop();
        
     int pos = example.indexOf(";");
     boolean startAnimation = false;
     double[] limits = { -5,5,-5,5 }; // x- and y-limits to use
     if (pos > 0) { 
              // Get limits from example text.
        String nums = example.substring(pos+1);
        example = example.substring(0,pos);
        StringTokenizer toks = new StringTokenizer(nums, " ,");
        if (toks.countTokens() >= 4) {
           for (int i = 0; i < 4; i++) {
              try {
                  Double d = new Double(toks.nextToken());
                  limits[i] = d.doubleValue();
              }
              catch (NumberFormatException e) {
              }
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              double d = (new Double(toks.nextToken())).doubleValue();
              if (kMin == null)
                 animator.setMin(d);
              else
                 kMin.setVal(d);
           }
           catch (NumberFormatException e) {
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              double d = (new Double(toks.nextToken())).doubleValue();
              if (kMax == null)
                 animator.setMax(d);
              else
                 kMax.setVal(d);
           }
           catch (NumberFormatException e) {
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              int d = (int)Math.round((new Double(toks.nextToken())).doubleValue());
              if (kIntervals == null)
                 animator.setIntervals(d);
              else
                 kIntervals.setVal(d);
           }
           catch (NumberFormatException e) {
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              int d = (int)Math.round((new Double(toks.nextToken())).doubleValue());
              animator.setLoopStyle(d);
           }
           catch (NumberFormatException e) {
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              int d = (int)Math.round((new Double(toks.nextToken())).doubleValue());
              startAnimation = (d == 1);
           }
           catch (NumberFormatException e) {
           }
        }
     }
     
     // Set up the example data and recompute everything.
     if (functionInput != null) {
           // If there is a function input box, put the example text in it.
        functionInput.setText(example);
     }
     else { 
          // If there is no user input, set the function in the graph directly.
        try {
           func = new SimpleFunction( parser.parse(example), xVar );
           graph.setFunction(func);
        }
        catch (ParseError e) {  
            // There should"t be parse error"s in the Web-page
            // author"s examples!  If there are, the function
            // just won"t change.
        }
     }
     CoordinateRect coords = canvas.getCoordinateRect(0);
     coords.setLimits(limits);
     coords.setRestoreBuffer();
     mainController.rupute();
     if (startAnimation) {
        try {  // insert a small delay before animation starts
           synchronized(this) {
              wait(250);
           }
        }
        catch (InterruptedException e) {
        }
        animator.start();
     }
     
  } // end doLoadExample()
  
  public void stop() {  // stop animator when applet is stopped
     animator.stop();
     super.stop();
  }

     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        Applet app = new AnimatedGraph();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   
  

} // end class FamiliesOfGraphs


      </source>
   
  
 
  



Draw Spline

   <source lang="java">

import java.awt.*; import javax.swing.*; import no.geosoft.cc.geometry.Geometry; import no.geosoft.cc.geometry.Matrix4x4; import no.geosoft.cc.geometry.spline.SplineFactory; import no.geosoft.cc.graphics.*;

/**

* G demo program. Demonstrates:
*
*
    *
  • A rudimentary sheet music library *
  • GObject extension *
  • Advanced geometry generation *
* 
* @author 


Epsilon Delta

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

import java.awt.*; import java.applet.Applet; import java.util.StringTokenizer; import edu.hws.jcm.draw.*; import edu.hws.jcm.data.*; import edu.hws.jcm.functions.*; import edu.hws.jcm.awt.*; /**

*  An applet for exploring the epsilon-delta definition of a limit.
*/

public class EpsilonDelta extends GenericGraphApplet {

  // Declare some private variables that are created in one method in
  // this class and used in a second method.
  private VariableInput xInput;
  private VariableInput epsilonInput;
  private VariableInput deltaInput;
  private VariableInput limitInput;
  
  private VariableSlider xSlider;
  private VariableSlider epsilonSlider;
  private VariableSlider deltaSlider;
  private VariableSlider limitSlider;
  private Controller subController;
  
  private Variable xValue, limitValue;
  private Function func;   // The function that is graphed.
  private Graph1D graph;   // The graph of the function.
  
  protected void setUpBottomPanel() {
     super.setUpBottomPanel();
     subController = new Controller();
     mainController.add(subController);
     JCMPanel inputs = new JCMPanel(3);
     subController.add(inputs);
     inputs.setBackground(getColorParam("PanelBackground", Color.lightGray));
     if (inputPanel == null)
        mainPanel.add(inputs,BorderLayout.SOUTH);
     else
        inputPanel.add(inputs,BorderLayout.SOUTH);
     JCMPanel left = new JCMPanel(0,1,2);
     JCMPanel right = new JCMPanel(0,1,2);
     JCMPanel middle = new JCMPanel(0,1,2);
     inputs.add(middle, BorderLayout.CENTER);
     inputs.add(left, BorderLayout.WEST);
     inputs.add(right, BorderLayout.EAST);
     double[] a = getNumericParam("AValue");
     double avalue = (a == null || a.length < 1)? 0 : a[0];
     if ("yes".equalsIgnoreCase(getParameter("UseAInput","yes"))) {
        xSlider = new VariableSlider();
        xInput = new VariableInput();
        xInput.setVal(avalue);
        xSlider.setVal(avalue);
        xInput.setThrowErrors(false);
        subController.add(new Tie(xSlider, xInput));
        xValue = xInput.getVariable();
        left.add(new Label("limit at a = ",Label.RIGHT));
        middle.add(xSlider);
        right.add(xInput);
     }
     else {
        xValue = new Variable();
        xValue.setVal(avalue);
     }
     a = getNumericParam("LimitValue");
     double Lvalue = (a == null || a.length < 1)? 1 : a[0];
     if ("yes".equalsIgnoreCase(getParameter("UseLimitInput","yes"))) {
        limitSlider = new VariableSlider();
        limitInput = new VariableInput();
        limitInput.setVal(Lvalue);
        limitSlider.setVal(Lvalue);
        limitInput.setThrowErrors(false);
        subController.add(new Tie(limitSlider, limitInput));
        limitValue = limitInput.getVariable();
        left.add(new Label(" test limit L = ",Label.RIGHT));
        middle.add(limitSlider);
        right.add(limitInput);
     }
     else {
        limitValue = new Variable();
        limitValue.setVal(Lvalue);
     }
     a = getNumericParam("EpsilonValue");
     double epsilonValue = (a == null || a.length < 1)? 0.25 : a[0];
     epsilonSlider = new VariableSlider(new Constant(0), new Constant(2));
     epsilonInput = new VariableInput();
     epsilonInput.setVal(epsilonValue);
     epsilonSlider.setVal(epsilonValue);
     epsilonInput.setThrowErrors(false);
     subController.add(new Tie(epsilonSlider, epsilonInput));
     left.add(new Label("epsilon = ", Label.RIGHT));
     middle.add(epsilonSlider);
     right.add(epsilonInput);
     a = getNumericParam("DeltaValue");
     double deltaValue = (a == null || a.length < 1)? 1 : a[0];
     deltaSlider = new VariableSlider(new Constant(0), new Constant(2));
     deltaInput = new VariableInput();
     deltaInput.setVal(deltaValue);
     deltaSlider.setVal(deltaValue);
     deltaInput.setThrowErrors(false);
     subController.add(new Tie(deltaSlider, deltaInput));
     left.add(new Label("delta = ", Label.RIGHT));
     middle.add(deltaSlider);
     right.add(deltaInput);
  }   
  protected void setUpCanvas() {  // Override this to add more stuff to the canvas.
  
     // When setUpCanvas is called, the functionInput already exists, if one is
     // to be used, since it is created in setUpBopttomPanel(), which is called
     // before setUpCanvas.  If functionInput exists, add a graph of the function
     // from functionInput to the canvas.  If not, create a graph of the function
     // specified by the parameter named "Function".
     
     if (functionInput != null)
        func = functionInput.getFunction(xVar);
     else {
        String def = getParameter("Function", "abs(" + xVar.getName() + ") ^ " + xVar.getName());
        Function f = new SimpleFunction( parser.parse(def), xVar );
        func = new WrapperFunction(f);
     }
     graph = new Graph1D(func);
     graph.setColor(getColorParam("GraphColor", Color.black));
        
     Value xMinusDelta = new ValueMath(xValue, deltaInput, "-");
     Value xPlusDelta  = new ValueMath(xValue, deltaInput, "+");
     Value limitMinusEpsilon = new ValueMath(limitValue, epsilonInput, "-");
     Value limitPlusEpsilon  = new ValueMath(limitValue, epsilonInput, "+");
     
     Value xmin = canvas.getCoordinateRect().getValueObject(CoordinateRect.XMIN);
     Value xmax = canvas.getCoordinateRect().getValueObject(CoordinateRect.XMAX);
     Value ymin = canvas.getCoordinateRect().getValueObject(CoordinateRect.YMIN);
     Value ymax = canvas.getCoordinateRect().getValueObject(CoordinateRect.YMAX);
     
     if (xSlider != null) {
        xSlider.setMin(xmin);
        xSlider.setMax(xmax);
     }
     if (limitSlider != null) {
        limitSlider.setMin(ymin);
        limitSlider.setMax(ymax);
     }
     
     DrawGeometric deltaBox = new DrawGeometric(DrawGeometric.RECT_ABSOLUTE, xMinusDelta, ymin, xPlusDelta, ymax);
     deltaBox.setFillColor(new Color(225,255,225));
     deltaBox.setLineWidth(0);
     DrawGeometric epsilonBox = new DrawGeometric(DrawGeometric.RECT_ABSOLUTE, xmin, limitMinusEpsilon, xmax, limitPlusEpsilon);
     epsilonBox.setFillColor(new Color(255,230,230));
     epsilonBox.setLineWidth(0);
     DrawGeometric overlap = new DrawGeometric(DrawGeometric.RECT_ABSOLUTE, xMinusDelta, limitMinusEpsilon, xPlusDelta,limitPlusEpsilon);
     overlap.setFillColor(new Color(255,255,225));
     overlap.setColor(Color.yellow);
     DrawGeometric xLine = new DrawGeometric(DrawGeometric.LINE_ABSOLUTE, xValue, ymin, xValue, ymax);
     xLine.setColor(new Color(130,255,130));
     DrawGeometric limitLine = new DrawGeometric(DrawGeometric.LINE_ABSOLUTE, xmin, limitValue, xmax, limitValue);
     limitLine.setColor(new Color(255,150,150));
     
     canvas.add(deltaBox);
     canvas.add(epsilonBox);
     canvas.add(overlap);
     canvas.add(xLine);
     canvas.add(limitLine);
     
     DrawString ds = new DrawString("a = #\nL = #\nf(a) = #", DrawString.TOP_LEFT,
                              new Value[] { xValue, limitValue, new ValueMath(func,xValue) });
     ds.setBackgroundColor(Color.white);
     ds.setFrameWidth(1);
     
     subController.add(ds);
     subController.add(deltaBox);
     subController.add(epsilonBox);
     subController.add(overlap);
     subController.add(xLine);
     subController.add(limitLine);
     mainController.remove(canvas);
     mainController.add(graph);
     canvas.getCoordinateRect().setOnChange(mainController);
     
     deltaSlider.setOnUserAction(subController);
     epsilonSlider.setOnUserAction(subController);
     deltaInput.setOnTextChange(subController);
     epsilonInput.setOnTextChange(subController);
     subController.add(deltaSlider);
     subController.add(epsilonSlider);
     subController.add(deltaInput);
     subController.add(epsilonInput);
     if (xInput != null) {
        xSlider.setOnUserAction(subController);
        xInput.setOnTextChange(subController);
        subController.add(xSlider);
        subController.add(xInput);
     }
     if (limitInput != null) {
        limitSlider.setOnUserAction(subController);
        limitInput.setOnTextChange(subController);
        subController.add(limitSlider);
        subController.add(limitInput);
     }
     super.setUpCanvas();  // Do the common setup: Add the axes, grid, etc
     canvas.add(graph);
     canvas.add(ds);
     
  } // end setUpCanvas()
  
  
  
  protected void doLoadExample(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.
  
        // After the function definition, there can be a semicolon and
        // up to ten numbers (numbers can be separated by spaces and/or commas).
        // The first four numbers specify the limits on the coordinate rect.
        // .
  
     int pos = example.indexOf(";");
     double[] limits = { -5,5,-5,5 };  // x- and y-limits to use
     
     if (pos > 0) { // get limits from example text
        String limitsText = example.substring(pos+1);
        example = example.substring(0,pos);
        StringTokenizer toks = new StringTokenizer(limitsText, " ,");
        double nums[] = new double[toks.countTokens()];
        for (int i = 0; i < nums.length; i++) {
           try {
              nums[i] = (new Double(toks.nextToken())).doubleValue();
           }
           catch (Exception e) {
              nums[i] = Double.NaN;
           }
        }
        for (int i = 0; i < 4; i++)
           if (nums.length >= i && !Double.isNaN(nums[i]))
              limits[i] = nums[i];
        if (nums.length > 4 && !Double.isNaN(nums[4]))
            xValue.setVal( nums[4] );
        else
            xValue.setVal((limits[0]+limits[1])/2);
        if (nums.length > 5 && !Double.isNaN(nums[5]))
            limitValue.setVal( nums[5] );
        else
            limitValue.setVal((limits[0]+limits[1])/2);
        if (nums.length > 8 && !Double.isNaN(nums[8]))
            epsilonSlider.setMax( new Constant(nums[8]) );
        else
            epsilonSlider.setMax(new Constant(Math.abs(limits[2]-limits[3])/2));
        if (nums.length > 9 && !Double.isNaN(nums[9]))
            deltaSlider.setMax( new Constant(nums[9]) );
        else
            deltaSlider.setMax(new Constant(Math.abs(limits[0]-limits[1])/2));
        if (nums.length > 6 && !Double.isNaN(nums[6])) {
            epsilonInput.setVal( nums[6] );
            epsilonSlider.setVal( nums[6] );
        }
        else {
            epsilonInput.setVal(Math.abs(limits[2]-limits[3])/8);
            epsilonSlider.setVal(Math.abs(limits[2]-limits[3])/8);
        }
        if (nums.length > 7 && !Double.isNaN(nums[7])) {
            deltaInput.setVal( nums[7] );
            deltaSlider.setVal( nums[7] );
        }
        else {
            deltaInput.setVal(Math.abs(limits[0]-limits[1])/8);
            deltaSlider.setVal(Math.abs(limits[0]-limits[1])/8);
        }
     }
     
     // Set up the example data and recompute everything.
     if (functionInput != null) {
           // If there is a function input box, put the example text in it.
        functionInput.setText(example);
     }
     else { 
          // If there is no user input, set the function in the graph directly.
          // Also, in this case, func is a "WrapperFunction".  Set the
          // definition of that WrapperFunction to be the same as f
        try {
           Function f = new SimpleFunction( parser.parse(example), xVar );
           ((WrapperFunction)func).setFunction(f);
        }
        catch (ParseError e) {  
            // There should"t be parse error"s in the Web-page
            // author"s examples!  If there are, the function
            // just won"t change.
        }
     }
     CoordinateRect coords = canvas.getCoordinateRect(0);
     coords.setLimits(limits);
     coords.setRestoreBuffer();
     mainController.rupute();
     
  } // end doLoadExample()
     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        Applet app = new EpsilonDelta();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   

} // end class EpsilonDelta

      </source>
   
  
 
  



Families Of Graphs

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

// An applet belonging to the class FamiliesOfGraphs displays a graph // of a function that can depend on one or more parameters. The values of // the parameters are controlled by the user using sliders at the bottom of // the applet.

import java.awt.*; import java.applet.Applet; import java.util.*; import edu.hws.jcm.draw.*; import edu.hws.jcm.data.*; import edu.hws.jcm.functions.*; import edu.hws.jcm.awt.*;

public class FamiliesOfGraphs extends GenericGraphApplet {

  // Declare some private variables that are created in one method in
  // this class and used in a second method.
  private Function func;   // The function that is graphed.
  private Graph1D graph;   // The graph of the function.
  
  private Vector sliders;  // Elements of this vector are the VariableSlider
                           //   objects that represent the parameter values.
                           //   The sliders are created in the setUpParser() method.
  protected void setUpParser() {  // Override this to add VariableSliders to parser.
  
     // Get the data for the sliders from applet params named "Parameter", "Parameter1", ...
     // The sliders are created and the variables are added to the parser by the
     // addParameter() method, which is defined below.
     
     sliders = new Vector();
     int ct = 0;
     String param = getParameter("Parameter");
     if (param == null) {
        ct++;
        param = getParameter("Parameter" + ct);
     }
     while (true) {
        if (param == null)
           break;
        addParameter(param);
        ct++;
        param = getParameter("Parameter" + ct);
     }
     
     // If no parameters were specified in applet params, create one with name "k".
     
     if (sliders.size() == 0)
        addParameter("k");
        
     super.setUpParser();  // Call this last so function definitions 
                           // in applet params can use the parameter names 
                           // that have just been added to the parser
                           // (even though it"s probably not a good idea).
                           // Note that this also defines the independent variable,
                           // whose name is given by the applet param "Variable"
                           // and which is referred to as xVar in this program.
                           
     VariableSlider slide = (VariableSlider)sliders.elementAt(0);
     String def = getParameter("Function", "sin(" + slide.getName() + " * " + xVar.getName() + ")");
     parameterDefaults = new Hashtable();  // I want to set a different default value for
                                           // the "Function" applet param.
     parameterDefaults.put("Function",def);
        
                           
  } // end setUpParser()
  
  private void addParameter(String data) {
        // Create a VariableSlider from the information in name and add it to the
        // Vector of sliders.  The data must contain the name of the variable 
        // associated with the slider.  The name can be followed by a ";" and up to
        // three numbers.  (If there is no ";", a space after the name will do.)
        // The numbers can be separated by commas, spaces, or tabs.  The first
        // number gives the minimum value on the slider, the second gives the maximum,
        // and the third gives the initial value of the slider variable.
     double min = -5, max = 5, val = 0;  // min, max, and value for slider
     data = data.trim();
     int pos = data.indexOf(";");
     if (pos < 0)
        pos = data.indexOf(" ");
        
     String name; //  The name of the parameter
     if (pos < 0) {
           // If there is no space or ";", the data is just the name of the variable.
        name = data;
     }
     else {
           // Get the name from the front of the data, then look for min, max, and val.
         String nums = data.substring(pos+1);
         name = data.substring(0,pos).trim();
         StringTokenizer toks = new StringTokenizer(nums," ,\t");
         try {
            if (toks.hasMoreElements())
                min = (new Double(toks.nextToken())).doubleValue();
            if (toks.hasMoreElements())
                max = (new Double(toks.nextToken())).doubleValue();
            if (toks.hasMoreElements())
                val = (new Double(toks.nextToken())).doubleValue();
         }
         catch (NumberFormatException e) {
            min = -5;
            max = 5;
            val = 0;
         }
     }
     
     // Create the slider, adding the associated variable to the parser, and set its value.
     
     VariableSlider slide = new VariableSlider(name, new Constant(min), new Constant(max), parser);
     slide.setVal(val);
     
     sliders.addElement(slide);  // Save the slider in the array of sliders for later use.
     
  } // end setUpParser();
  
  protected void setUpBottomPanel() {  // Overridden to add the sliders at the bottom of the applet.
     super.setUpBottomPanel();  // Do the default setup.
     // Create a panel holding all the sliders, with a display label for each slider to show its value.
     JCMPanel sliderPanel = new JCMPanel();
     sliderPanel.setLayout(new GridLayout(0,1,3,3));
     sliderPanel.setBackground(getColorParam("PanelBackground", Color.lightGray));
     for (int i = 0; i < sliders.size(); i++) {
        JCMPanel p = new JCMPanel();
        VariableSlider slide = (VariableSlider)sliders.elementAt(i);
        p.add(slide, BorderLayout.CENTER);
        p.add(new DisplayLabel("  " + slide.getName() + " = # ", new Value[] { slide.getVariable() } ), 
                     BorderLayout.EAST);
        sliderPanel.add(p);
        slide.setOnUserAction(mainController);
     }
     
     
     // If there is a functionInput box, then the SOUTH position of the mainPanel already contains
     // the inputPanel that contains that box.  If so, add the new panel to the SOUTH position of
     // the inputPanel.  (This is a good place, in general, to put extra input objects.)
     // If there is no inputPanel, then the SOUTH position of the mainPanel is empty, so put
     // the newly created panel there.
     
     if (inputPanel != null)
        inputPanel.add(sliderPanel, BorderLayout.SOUTH);
     else
        mainPanel.add(sliderPanel, BorderLayout.SOUTH);
  } // end setUpBottomPanel()
  protected void setUpCanvas() { // Overridden to add the graph to the canvas.
     super.setUpCanvas();  // Do the default setup.
     // When setUpCanvas() is called, the functionInput already exists, if one is
     // to be used, since it is created in setUpBopttomPanel(), which is called
     // before setUpCanvas.  If functionInput exists, add a graph of the function
     // from functionInput to the canvas.  If not, create a graph of the function
     // specified by the parameter named "Function" (or use sin(k*x) if none is specified).
     if (functionInput != null)
        func = functionInput.getFunction(xVar);
     else {
        String def = getParameter("Function");  // default value is set in setUpParser()
        func = new SimpleFunction( parser.parse(def), xVar );
     }
     // Create a graph of the function and add it to the canvas.
     
     graph = new Graph1D(func);
     graph.setColor(getColorParam("GraphColor", Color.magenta));
     canvas.add(graph);
  } // end setUpCanvas
  protected void doLoadExample(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 the FamiliesOfGraphs 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 more numbers.
        // The first four numbers give the x- and y-limits to be used for the
        // example.  If they are not present, then -5,5,-5,5 is used.  The
        // remaining numbers occur in groups of three and specify the minimumn, 
        // maximum and values of the parameters, in the
        // same order that they were encountered in the setUpParser() method.
        
     int pos = example.indexOf(";");
     
     double[] limits = { -5,5,-5,5 }; // x- and y-limits to use
     if (pos > 0) { 
              // Get limits from example text.
        String nums = example.substring(pos+1);
        example = example.substring(0,pos);
        StringTokenizer toks = new StringTokenizer(nums, " ,");
        if (toks.countTokens() >= 4) {
           for (int i = 0; i < 4; i++) {
              try {
                  Double d = new Double(toks.nextToken());
                  limits[i] = d.doubleValue();
              }
              catch (NumberFormatException e) {
              }
           }
        }
        int i = 0;
        while (i < sliders.size() && toks.hasMoreElements()) {
              // Look for a value for the i-th slider.
           try {
               double min = (new Double(toks.nextToken())).doubleValue();
               double max = (new Double(toks.nextToken())).doubleValue();
               double d = (new Double(toks.nextToken())).doubleValue();
               VariableSlider slider = ((VariableSlider)sliders.elementAt(i));
               slider.setMin(new Constant(min));
               slider.setMax(new Constant(max));
               slider.setVal(d);
           }
           catch (Exception e) {
           }
           i++;
        }
     }
     
     // Set up the example data and recompute everything.
     if (functionInput != null) {
           // If there is a function input box, put the example text in it.
        functionInput.setText(example);
     }
     else { 
          // If there is no user input, set the function in the graph directly.
        try {
           func = new SimpleFunction( parser.parse(example), xVar );
           graph.setFunction(func);
        }
        catch (ParseError e) {  
            // There should"t be parse error"s in the Web-page
            // author"s examples!  If there are, the function
            // just won"t change.
        }
     }
     CoordinateRect coords = canvas.getCoordinateRect(0);
     coords.setLimits(limits);
     coords.setRestoreBuffer();
     mainController.rupute();
     
  } // end doLoadExample()
     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        Applet app = new FamiliesOfGraphs();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   

} // end class FamiliesOfGraphs


      </source>
   
  
 
  



Input the function and draw the curve

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

import java.awt.*; import edu.hws.jcm.data.*; import edu.hws.jcm.draw.*; import edu.hws.jcm.awt.*; public class GraphApplet1 extends java.applet.Applet {

  public void init() {
     Parser parser = new Parser();    // The Parser will take the user"s input
                                      //   and turn it into an Expression.  By
                                      //   default, a Parser knows about the 
                                      //   constants pi and e, the basic arithmetic
                                      //   operations + - * / ^ (where ^ is
                                      //   exponentiation), standard functions
                                      //   (sin, cos, tan, sec, csc, cot, sqrt,
                                      //   cubert, abs, ln, log2, log10, exp,
                                      //   trunc, round, floor, ceiling, arcsin,
                                      //   arccos, arctan).  There is also a
                                      //   conditional "?" operator in the style
                                      //   of Java and C++. 
                                      
     Variable x = new Variable("x");  // For the parser to know about the variable x,
     parser.add(x);                   //   that variable must be created and added
                                      //   to the parser.
     DisplayCanvas canvas = new DisplayCanvas();
        // A DisplayCanvas is the fundamental JCM class for displaying
        // graphical items such as axes and graphs.
     
     canvas.setUseOffscreenCanvas(false);  // By default, a DisplayCanvas uses
                                           //   "double buffering", which allows for
                                           //   smooth animation.  However, it does
                                           //   use extra memory, so I turn it off
                                           //   in this simple applet.  You might notice
                                           //   that the image flickers a bit when the
                                           //   applet is redrawn.
     
     canvas.setHandleMouseZooms(true);  // This tells the canvas to let the user
                                        //   zoom in and out by clicking, shift-clicking,
                                        //   and click-and-dragging on the canvas.
     
     LimitControlPanel limits = new LimitControlPanel();
        // A limit control panel can control the x- and y-limits on a DisplayCanvas.
        //   In the applet, the limit control panel is the gray area containing the
        //   input boxes for xmin, xmax, ymin, and ymax.  It also contains a
        //   "Set Limits" button (and can contain other buttons if you want).  The
        //   "Set Limits" button is a little redundant because pressing return
        //   in any of the input boxes will accomplish the same thing.  However, it
        //   has the advantage of giving the user something obvious to do to 
        //   set the limits.
        
     limits.addCoords(canvas);  // Tells the LimitControlPanel to control the
                                //   x- and y-limits on this canvas.  The limits
                                //   on the canvas and the values in the input
                                //   boxes are synchronized.  (Try it by clicking
                                //   on the graph.)
     
     ExpressionInput input = new ExpressionInput("sin(x)+2*cos(3*x)", parser);
        // An ExpressionInput is a text-input box where the user can enter
        //    an expression.  The string "sin(x)+2*cos(3*x)" provides the initial
        //    contents for the box.  The parser that is provided as the second 
        //    arguments knows about the variable named "x", which makes it 
        //    possible to use "x" in the expression.
        
     Function func = input.getFunction(x);  // To graph, I need a Function, not
                                            //    not an expression.  input.getFunction(x)
                                            //    gets the contents of the ExpressionInput,
                                            //    input, considered as a function of the
                                            //    variable x.
     Graph1D graph = new Graph1D(func);  // This represents a graph of the function, func.
                                         //   It will be added to the DisplayCanvas,
                                         //   which will make it appear on the screen.
     
     JCMPanel main = new JCMPanel();     // The interface for this applet is constructed
                                         //   entirely from JCMPanels.  This makes much
                                         //   of the JCM setup automatic.  This constructor
                                         //   makes a JCMPanel that uses a BorderLayout.
                                         
     main.add(canvas, BorderLayout.CENTER);  // Add the DisplayCanvas to the panel.
     main.add(input, BorderLayout.SOUTH);    // Add the ExprssionInput.
     main.add(limits, BorderLayout.EAST);    // Add the LimitControlPanel.
     
     main.setInsetGap(3);  // This leaves a gap of 3 pixels around the edges of the
                           //    panel, where the gray background shows through.
     setLayout(new BorderLayout());   // Set up the Applet itself.
     add(main, BorderLayout.CENTER);
     setBackground(Color.lightGray);      
     
     canvas.add( new Axes() );  // Add a set of Axes to the DisplayCanvas.  The labels
                                //   on the applet are automatically adjusted when
                                //   the limits on the canvas changes.
                                
     canvas.add(graph);         // Add the graph to the canvas.  It will be redrawn
                                //   whenever necessary.
     
     Controller controller = main.getController();
         // A Controller is what makes things happen in a JCM applet.  The
         // JCMPanel, main, has a controller that recomputes the JCM components
         // in the Panel.
     controller.setErrorReporter(canvas);  // Errors in the user"s input need to
                                           //   be reported somehow.  A Controller can
                                           //   have an ErrorReporter for this purpose.
                                           //   Currently, the alternatives are to use
                                           //   a canvas as an error reporter or to 
                                           //   use a "MessagePopup".  To see an error
                                           //   message in the applet, enter any expression
                                           //   with a syntax error and press return.
                                           //   Note that the blinking input cursor moves
                                           //   to the point in the expression where the
                                           //   error was discovered.
     
     limits.setErrorReporter(canvas);   // A LimitControlPanel also needs a place to
                                        //   report errors in the user"s input.
                                        
     main.gatherInputs();   // The JCMPanel must be told to respond to user inputs.
                            //    The gatherInputs() method is an easy way to do this,
                            //    in many cases.  In this applet, since there is only one
                            //    input, this is equivalent to the single command
                            //    "input.setOnUserAction(controller)," which tells the
                            //    input object to notify the controller when the user
                            //    presses return in the input box.  (Note that input boxes
                            //    in a LimitControlPanel are taken care of automatically.
                            //    They don"t need to notify a controller.  Also note that
                            //    I couldn"t use the gatherInputs(controller) method in
                            //    the previous ArithmeticApplet, since gatherInputs() 
                            //    calls the setOnUserAction() method of an input box, but in the
                            //    ArithmeticApplet, I wanted to call setOnTextChange().  The
                            //    difference is that with setOnUserAction(), the controller is
                            //    notified only when the user presses return in the input box
                            //    while with setOnTextChange(), the controller is notified
                            //    each time the text in the input box changes.)
     
  } // end init()
     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        java.applet.Applet app = new GraphApplet1();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   

} // end class SimpleGraph1

      </source>
   
  
 
  



Integral Curves

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

// This applet displays a vector field (f1(x,y),f2(x,y)) and integral curves // for that vector field (although the integral curve feature can be turned off // with an applet param). The drawing of the curves is animated; they are // drawn segment-by-segment. In the default setup, a curve is started when the // user clicks on the canvas. A curve can also be started by entering the // starting x and y coords in a pair of text input boxes and clicking a button. import java.awt.*; import java.awt.event.*; import java.applet.Applet; import java.util.*; import edu.hws.jcm.draw.*; import edu.hws.jcm.data.*; import edu.hws.jcm.functions.*; import edu.hws.jcm.awt.*;

public class IntegralCurves extends GenericGraphApplet {

  private Variable yVar;           // The seond variable, usually y.
  private Function xFunc,yFunc;    // The functions that give the components of the vector field
  private ExpressionInput functionInput2;  // For inputting yFunc.
  private VectorField field;       // The vector/direction field
  private Animator animator;       // for incrementally drawing integral curves.
  private Vector curves = new Vector();           // Holds the integral curves
  private VariableInput deltaT;    // input the deltaT for the curve
  double dt = 0.1;  // The value of delat t in the case where there is no deltaT input box
  private VariableInput xStart,yStart;  // Starting point for curve
  private Choice methodChoice;     // select integration method
  private Button startCurveButton; // user clicks to start curve from (x,y) in xStart, yStart input boxes
  private Button clearButton;      // clears curves
  private Color curveColor;        // color for integral curves
  private Draw curveDrawer = new Draw(); // A DrawTemp object that draws one segment of the integral curves.
  
  private double[] nextPoint = new double[2];  // Help in computing next point of integral curve.
  private double[] params = new double[2];     // ditto
  
  private static final int RK4 = 0, RK2 = 1, EULER = 2;   // constants for integration methos
  
  private class Curve {  // holds the data for one integral curve
     double dt;
     int method;
     double x,y; // point on the curve
     double lastX = Double.NaN, lastY; // previous point, so we can draw a line.
  }
  
  private class Draw implements DrawTemp { // For drawing the next segment in each integral curve (as a DrawTemp)
     public void draw(Graphics g, CoordinateRect coords) {
        int size = curves.size();
        g.setColor(curveColor);
        for (int i = 0; i < size; i++) {
           Curve c = (Curve)(curves.elementAt(i));
           if (! (Double.isNaN(c.x) || Double.isNaN(c.y) || Double.isNaN(c.lastX) || Double.isNaN(c.lastY)) ) {
              int x1 = coords.xToPixel(c.lastX);
              int y1 = coords.yToPixel(c.lastY);
              int x2 = coords.xToPixel(c.x);
              int y2 = coords.yToPixel(c.y);
              g.drawLine(x1,y1,x2,y2);
           }
        }
     }
  }
  protected void setUpParser() {
         // create the "y" variable; also set up some parameter defaults.
     yVar = new Variable(getParameter("Variable2","y"));
     parser.add(yVar);
     super.setUpParser();  // sets up xVar, among other things.
     parameterDefaults = new Hashtable();
     parameterDefaults.put("FunctionLabel", " f1(" + xVar.getName() + "," + yVar.getName() + ") = ");
     parameterDefaults.put("FunctionLabel2", " f2(" + xVar.getName() + "," + yVar.getName() + ") = ");
     parameterDefaults.put("Function", " " + yVar.getName() + " - 0.1*" + xVar.getName());
     parameterDefaults.put("Function2", " - " + xVar.getName() + " - 0.1*" + yVar.getName());
     defaultFrameSize = new int[] { 580, 440 };
  }
  protected void setUpCanvas() {  // Override this to add more stuff to the canvas.
  
     super.setUpCanvas();  // Do the common setup: Add the axes and
     
     // set up the vector field and add it to the canvas
     
     if (functionInput != null) {
        xFunc = functionInput.getFunction(new Variable[] {xVar,yVar});
        yFunc = functionInput2.getFunction(new Variable[] {xVar,yVar});
     }
     else {
        String xFuncDef = getParameter("Function");
        String yFuncDef = getParameter("Function2");
        Function f = new SimpleFunction( parser.parse(xFuncDef), new Variable[] {xVar,yVar} );
        xFunc = new WrapperFunction(f);
        f = new SimpleFunction( parser.parse(yFuncDef), new Variable[] {xVar,yVar} );
        yFunc = new WrapperFunction(f);
     }
     String type = (getParameter("VectorStyle", "") + "A").toUpperCase();
     int style = 0;
     switch (type.charAt(0)) {
        case "A": style = VectorField.ARROWS; break;
        case "L": style = VectorField.LINES; break;
        case "S": style = VectorField.SCALED_VECTORS; break;
     }
     field = new VectorField(xFunc,yFunc,style);
     Color color = getColorParam("VectorColor");
     if (color != null)
        field.setColor(color);
     int space = (style == VectorField.LINES)? 20 : 30;
     double[] d = getNumericParam("VectorSpacing");
     if (d != null && d.length > 0 && d[0] >= 1)
        space = (int)Math.round(d[0]);
     field.setPixelSpacing(space);
     canvas.add(field);  // Finally, add the graph to the canvas.
     curveColor = getColorParam("CurveColor", Color.magenta);
     // add a mouse listener to the canvas for starting curves.
     if ("yes".equalsIgnoreCase(getParameter("MouseStartsCurves","yes")) && "yes".equalsIgnoreCase(getParameter("DoCurves","yes")))
        canvas.addMouseListener(new MouseAdapter() {
               public void mousePressed(MouseEvent evt) {
                  CoordinateRect coords = canvas.getCoordinateRect();
                  double x = coords.pixelToX(evt.getX());
                  double y = coords.pixelToY(evt.getY());
                  if (xStart != null)
                     xStart.setVal(x);
                  if (yStart != null)
                     yStart.setVal(y);
                  startCurve(x,y);
               }
           });
  } // end setUpCanvas()
  
  
  protected void setUpBottomPanel() { 
        // Override this to make a panel containing controls.  This is complicated
        // because it"s possible to turn off a lot of the inputs with applet params.
        
     // Check on the value of delta t, which has to be set even if there are no input controls.
     double[] DT = getNumericParam("DeltaT"); 
     if  ( ! (DT == null || DT.length == 0 || DT[0] <= 0) )
        dt = DT[0];
     boolean doCurves = "yes".equalsIgnoreCase(getParameter("DoCurves","yes"));
     boolean useInputs = "yes".equalsIgnoreCase(getParameter("UseFunctionInput","yes"));
     if (!doCurves && !useInputs)  // no input controls at all.
        return;
     // make the input panel
     inputPanel = new JCMPanel();
     inputPanel.setBackground( getColorParam("PanelBackground", Color.lightGray) );
     mainPanel.add(inputPanel,BorderLayout.SOUTH);
     // Make the function inputs and the compute button, if these are in the configuration.
     JCMPanel in1 = null, in2 = null;  // hold function inputs, if any
     if (useInputs) {
        if ( "yes".equalsIgnoreCase(getParameter("UseComputeButton", "yes")) ) {
           String cname = getParameter("ComputeButtonName", "New Functions");
           computeButton = new Button(cname);
           computeButton.addActionListener(this);
        }
         functionInput = new ExpressionInput(getParameter("Function"),parser);
         in1 = new JCMPanel();
         in1.add(functionInput,BorderLayout.CENTER);
         in1.add(new Label(getParameter("FunctionLabel")), BorderLayout.WEST);
         functionInput.setOnUserAction(mainController);
         functionInput2 = new ExpressionInput(getParameter("Function2"),parser);
         in2 = new JCMPanel();
         in2.add(functionInput2,BorderLayout.CENTER);
         in2.add(new Label(getParameter("FunctionLabel2")), BorderLayout.WEST);
         functionInput2.setOnUserAction(mainController);
     }
     
     // If we"re not doing curves, all we have to do is put the function inputs in the inputPanel
     
     if (!doCurves) {  
        Panel p = new JCMPanel(2,1,3);
        p.add(in1);
        p.add(in2);
        inputPanel.add(p, BorderLayout.CENTER);
        if (computeButton != null)
           inputPanel.add(computeButton,BorderLayout.EAST);
        return;
     }
     
     // Now we know that doCurves is true.  First, make the animator and clear button
     animator = new Animator(Animator.STOP_BUTTON);
     animator.setStopButtonName("Stop Curves");
     animator.setOnChange(new Computable() { // animator drives curves
          public void compute() {
             extendCurves();
          }
       });
     mainController.add(new InputObject() { // curves must stop if main controller is triggered
           public void checkInput() {
              curves.setSize(0);
              animator.stop();
           }
           public void notifyControllerOnChange(Controller c) {
           }
       });
     clearButton = new Button("Clear");
     clearButton.addActionListener(this);
     // Make a panel to contain the xStart and yStart inputs, if they are in the configuration.
     Panel bottom = null;
     if ("yes".equalsIgnoreCase(getParameter("UseStartInputs","yes"))) {
        xStart = new VariableInput();
        xStart.addActionListener(this);
        yStart = new VariableInput();
        yStart.addActionListener(this);
        bottom = new Panel();  // not a JCMPanel -- I don"t want their contents checked automatically
        startCurveButton = new Button("Start curve at:");
        startCurveButton.addActionListener(this);
        bottom.add(startCurveButton);
        bottom.add(new Label(xVar.getName() + " ="));
        bottom.add(xStart);
        bottom.add(new Label(yVar.getName() + " ="));
        bottom.add(yStart);
     }
     
     // Now, make a panel to contain the methodChoice and deltaT input if they are in the configuration.
     // The animator and clear button will be added to this panel if it exists.  If not, and if
     // an xStart/yStart panel exists, then it will be added there.  If neither exists,
     // it goes in its own panel.  The variable bottom ends up pointing to a panel that
     // contains all the curve controls.
     
     boolean useChoice = "yes".equalsIgnoreCase(getParameter("UseMethodChoice","yes"));
     boolean useDelta = "yes".equalsIgnoreCase(getParameter("UseDeltaInput","yes"));
     if (useChoice || useDelta) {
        Panel top = new Panel();  // not a JCMPanel!
        if (useDelta) {
           top.add(new Label("dt ="));
           deltaT = new VariableInput(null,""+dt);
           top.add(deltaT);
        }
        if (useChoice) {
           top.add(new Label("Method:"));
           methodChoice = new Choice();
           methodChoice.add("Runge-Kutta 4");
           methodChoice.add("Runge-Kutta 2");
           methodChoice.add("Euler");
           top.add(methodChoice);
        }
        top.add(animator);
        top.add(clearButton);
        if (bottom == null)
           bottom = top;
        else {
           Panel p = new Panel();
           p.setLayout(new BorderLayout());
           p.add(top, BorderLayout.NORTH);
           p.add(bottom, BorderLayout.CENTER);
           bottom = p;
        }
     }
     else  {
        if (bottom == null)
           bottom = new Panel();
        bottom.add(animator);
        bottom.add(clearButton);
     }
     
     // Add the panels "bottom" to the inputPanel, and ruturn
     // if there are no function inputs.
     
     inputPanel.add(bottom, BorderLayout.CENTER);
     if (in1 == null)
        return;
     // Add the function inputs and compute button to the inputPanel         
        
     Panel in = new JCMPanel(1,2);
     in.add(in1);
     in.add(in2);
     if (computeButton != null) {
        Panel p = new JCMPanel();
        p.add(in,BorderLayout.CENTER);
        p.add(computeButton,BorderLayout.EAST);
        in = p;
     }
     inputPanel.add(in,BorderLayout.NORTH);
     
  } // end setUpBottomPanel()
  public void actionPerformed(ActionEvent evt) {
        // React if user presses return in xStart or yStart, or pass evt on to GenericGraphApplet
     Object src = evt.getSource();
     if (src == clearButton) {
         canvas.clearErrorMessage();
         curves.setSize(0);
         animator.stop();
         canvas.rupute();  // force recompute of off-screen canvas!
     }
     else if (src == xStart || src == yStart || src == startCurveButton) {
             // Start a curve from x and y values in xStart and yStart
        canvas.clearErrorMessage();
        double x=0, y=0;
        try {
           xStart.checkInput();
           x = xStart.getVal();
           yStart.checkInput();
           y = yStart.getVal();
           startCurve(x,y);
           if (deltaT != null) {
              deltaT.checkInput();
              dt = deltaT.getVal();
              if (dt <= 0) {
                 deltaT.requestFocus();
                 throw new JCMError("dt must be positive", deltaT);
              }
           }
        }
        catch (JCMError e) {
           curves.setSize(0);
           animator.stop();
           canvas.setErrorMessage(null,"Illegal Data For Curve.  " + e.getMessage());
        }
     }
     else
        super.actionPerformed(evt);
  } // end actionPerfromed
  
  public void startCurve(double x, double y) {
       // Start an integral curve at the point (x,y)
     synchronized (curves) {
        if (deltaT != null) {
           try {
              deltaT.checkInput();
              dt = deltaT.getVal();
              if (dt <= 0) {
                 deltaT.requestFocus();
                 throw new JCMError("dt must be positive", deltaT);
              }  
           }
           catch (JCMError e) {
              curves.setSize(0);
              animator.stop();
              canvas.setErrorMessage(null,"Illegal Data For Curve.  " + e.getMessage());
              return;
           }
        }
        Curve c = new Curve();
        c.dt = dt;
        int method = (methodChoice == null)? RK4 : methodChoice.getSelectedIndex();
        c.method = method;
        c.x = x;
        c.y = y;
        curves.addElement(c);
        animator.start();
     }
  }
  
  public void extendCurves() {
        // Add the next segment to each integral curve.  This function
        // is called repeatedly by the animator.
     synchronized(curves) {
        if (canvas == null || canvas.getCoordinateRect() == null)  // can happen when frame closes
           return;  
        while (canvas.getCoordinateRect().getWidth() <= 0) {
              // need this at startup to make sure that the canvas has appeared on the screen
            try {
               Thread.sleep(200);
            }
            catch (InterruptedException e) {
            }
        }
        int size = curves.size();
        for (int i = 0; i < size; i++) {
           Curve curve = (Curve)curves.elementAt(i);
           curve.lastX = curve.x;
           curve.lastY = curve.y;
           nextPoint(curve.x, curve.y, curve.dt, curve.method);
           curve.x = nextPoint[0];
           curve.y = nextPoint[1];
        }
        CoordinateRect c = canvas.getCoordinateRect();
        double pixelWidthLimit = 100000*c.getPixelWidth();
        double pixelHeightLimit = 100000*c.getPixelHeight();
        for (int i = size-1; i >= 0; i--) {
           Curve curve = (Curve)curves.elementAt(i);
           if (Double.isNaN(curve.x) || Double.isNaN(curve.y) ||
                   Math.abs(curve.x) > pixelWidthLimit || 
                   Math.abs(curve.y) > pixelWidthLimit) // stop processing this curve
              curves.removeElementAt(i);
        }
        if (curves.size() > 0)
           canvas.drawTemp(curveDrawer);
        else {
           animator.stop();
        }
     }
  }
  private void nextPoint(double x, double y, double dt, int method) {
        // Find next point from (x,y) by applying specified method over time interval dt
     switch (method) {
        case EULER:
           nextEuler(x,y,dt);
           break;
        case RK2:
           nextRK2(x,y,dt);
           break;
        case RK4:
           nextRK4(x,y,dt);
           break;
     }
  }
  
  private void nextEuler(double x, double y, double dt) {
     params[0] = x;
     params[1] = y;
     double dx = xFunc.getVal(params);
     double dy = yFunc.getVal(params);
     nextPoint[0] = x + dt*dx;
     nextPoint[1] = y + dt*dy;
  }
  
  private void nextRK2(double x, double y, double dt) {
     params[0] = x;
     params[1] = y;
     double dx1 = xFunc.getVal(params);
     double dy1 = yFunc.getVal(params);
     double x2 = x + dt*dx1;
     double y2 = y + dt*dy1;
     params[0] = x2;
     params[1] = y2;
     double dx2 = xFunc.getVal(params);
     double dy2 = yFunc.getVal(params);
     nextPoint[0] = x + 0.5*dt*(dx1+dx2);
     nextPoint[1] = y + 0.5*dt*(dy1+dy2);
  }
  
  private void nextRK4(double x, double y, double dt) {
     params[0] = x;
     params[1] = y;
     double dx1 = xFunc.getVal(params);
     double dy1 = yFunc.getVal(params);
     
     double x2 = x + 0.5*dt*dx1;
     double y2 = y + 0.5*dt*dy1;
     params[0] = x2;
     params[1] = y2;
     double dx2 = xFunc.getVal(params);
     double dy2 = yFunc.getVal(params);
     
     double x3 = x + 0.5*dt*dx2;
     double y3 = y + 0.5*dt*dy2;
     params[0] = x3;
     params[1] = y3;
     double dx3 = xFunc.getVal(params);
     double dy3 = yFunc.getVal(params);
     
     double x4 = x + dt*dx3;
     double y4 = y + dt*dy3;
     params[0] = x4;
     params[1] = y4;
     double dx4 = xFunc.getVal(params);
     double dy4 = yFunc.getVal(params);
     
     nextPoint[0] = x + (dt / 6) * (dx1 + 2 * dx2 + 2 * dx3 + dx4);
     nextPoint[1] = y + (dt / 6) * (dy1 + 2 * dy2 + 2 * dy3 + dy4);
  }
  
  protected void doLoadExample(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 the IntegrapCurves applet, the example string should contain
        // two expression that defines the vector field, separated 
        // by a semicolon.  This can optionally
        // be followed by another semicolon and a list of numbers, separated by spaces and/or commas.
        // The first four numbers give the x- and y-limits to be used for the
        // example.  If they are not present, then -5,5,-5,5 is used.  The next number, if present,
        // specifies a value for delta t.  If there are more numbers, they should come in pairs.
        // each pair specifies a point where a curve will be started when the
        // example is loaded.  There is a 0.5 second delay between loading and starting the
        // curves to allow time for the redrawing (although it seems to block the redrawing, at least
        // on some platforms).
        
     if (animator != null) {
        curves.setSize(0);
        animator.stop();
     }
        
     int pos = example.indexOf(";");
     if (pos == -1)
        return; // illegal example -- must have two functions
     String example2 = example.substring(pos+1);
     example = example.substring(0,pos);
     pos = example2.indexOf(";");   
     
        
     double[] limits = { -5,5,-5,5 }; // x- and y-limits to use
     
     StringTokenizer toks = null;
     if (pos > 0) { 
              // Get limits from example2 text.
        String nums = example2.substring(pos+1);
        example2 = example2.substring(0,pos);
        toks = new StringTokenizer(nums, " ,");
        if (toks.countTokens() >= 4) {
           for (int i = 0; i < 4; i++) {
              try {
                  Double d = new Double(toks.nextToken());
                  limits[i] = d.doubleValue();
              }
              catch (NumberFormatException e) {
              }
           }
        }
        if (toks.hasMoreTokens()) {
           double d = Double.NaN;
           try {
              d = (new Double(toks.nextToken())).doubleValue();
           }
           catch (NumberFormatException e) {
           }
           if (Double.isNaN(d) || d <= 0 || d > 100)
              d = 0.1;
            if (deltaT != null)
               deltaT.setVal(d);
            else
               dt = d;
        }
     }
     
     // Set up the example data and recompute everything.
     if (functionInput != null) {
           // If there is a function input box, put the example text in it.
        functionInput.setText(example);
        functionInput2.setText(example2);
     }
     else { 
          // If there is no user input, set the function in the graph directly.
        try {
           Function f = new SimpleFunction( parser.parse(example), xVar );
           ((WrapperFunction)xFunc).setFunction(f);
           Function g = new SimpleFunction( parser.parse(example2), xVar );
           ((WrapperFunction)yFunc).setFunction(g);
        }
        catch (ParseError e) {  
            // There should"t be parse error"s in the Web-page
            // author"s examples!  If there are, the function
            // just won"t change.
        }
     }
     CoordinateRect coords = canvas.getCoordinateRect(0);
     coords.setLimits(limits);
     coords.setRestoreBuffer();
     mainController.rupute();
     
     if (animator != null && toks != null) { // get any extra nums from the tokenizer and use them as starting points for curves
        int ct = 2*(toks.countTokens()/2);
        if (ct > 0) {
           synchronized(curves) {
              for (int i = 0; i < ct; i++) {
                 try {
                    double x = (new Double(toks.nextToken())).doubleValue();
                    double y = (new Double(toks.nextToken())).doubleValue();
                    startCurve(x,y);
                 }
                 catch (Exception e) {
                 }
              }
              if (curves.size() > 0) {  // start the curves going
                 try {  
                    Thread.sleep(500);  // wait a bit to give the canvas time to start drawing itself.
                 }
                 catch (InterruptedException e) {
                 }
              }
           }
        }      
     }
     
  } // end doLoadExample()
  
  public void stop() {  // stop animator when applet is stopped
     if (animator != null) {
        curves.setSize(0);
        animator.stop();
     }
     super.stop();
  }
     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        Applet app = new IntegralCurves();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   

} // end class IntegralCurves

      </source>
   
  
 
  



Scatter Plot

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

import edu.hws.jcm.awt.*; import edu.hws.jcm.data.*; import edu.hws.jcm.draw.*; import java.awt.*; import java.awt.event.*; import java.io.*; import java.net.*; import java.util.*; import java.applet.Applet; /**

* A ScatterPlotApplet shows a scatter plot of data from a DataTableInput.
* The user can enter the data in a two-column table that is shown in
* the applet.  It is also possible to configure the applet with a menu
* of file names.  These files, which must be in the same directory as
* the Web page on which the applet appears, will appear in a menu.
* A file can contain data for the table, with two numbers per line.
* When the user loads the file, the data replaces the data in the table.
*/

public class ScatterPlotApplet extends Applet implements ActionListener {

  private Frame frame;       // If non-null, a separate window.
  private String frameTitle; // Title for the separate window.
  private Button launchButton;  // If non-null, then clicking this buttons opens a separate window.
  private String launchButtonName;  // Name for the launch button.
  
  private DataTableInput table;    //  The table for input of data.
  private ScatterPlot scatterPlot; //  The scatter plot of the data.
  private DisplayCanvas canvas;    //  The DisplayCanvas on which the plot is drawn.
  private Button loadFileButton;   //  When clicked, a data file is loaded.
  private Choice fileMenu;         //  Pop-up menu containing names of functions.
  private String[] fileNames;      //  Names of data files associated with menu entries.
  private Controller mainController;  // Controller from the main JCMPanel.
  /**
   * The init() method is called by the system to set up the applet. 
   * If the applet does not appear as a button, then init() creates the main panel of the applet
   * and calls setUpMainPanel to set it up.
   */
  public void init() {
     frameTitle = getParameter("FrameTitle"); // Get title to be used for separate window, if any.
     if (frameTitle == null) {
        frameTitle = "Scatter Plots";
        int pos = frameTitle.lastIndexOf(".");
        if (pos > -1)
           frameTitle =  frameTitle.substring(pos+1);
     }
     setLayout(new BorderLayout());
     int height = getSize().height;
     launchButtonName = getParameter("LaunchButtonName");
     if ( (height > 0 && height <= 50) || launchButtonName != null) {
             // Use a separater window and only show a button in the applet.
         if (launchButtonName == null)
              launchButtonName = "Launch " + frameTitle;
         launchButton = new Button(launchButtonName);
         add(launchButton, BorderLayout.CENTER);
         launchButton.addActionListener(this);
     }
     else {
            // Show the main panel in the applet, not in a separate window.
         add(makeMainPanel(), BorderLayout.CENTER);
     }
  }
  /*
   * Create the main panel of the applet.
   */ 
  public Panel makeMainPanel() {
  
     // Make the main panel
  
     JCMPanel panel = new JCMPanel(2);
     mainController = panel.getController();
     panel.setBackground(new Color(0,0,180));
     panel.setInsetGap(2);
     setLayout(new BorderLayout());
     
     // Make a DataInputTable with two columns
     
     table = new DataTableInput(null, 2);
     table.setColumnName(0, getParameter("ColumnName1", "X"));
     table.setColumnName(1, getParameter("ColumnName2", "Y"));
     table.setThrowErrors(true);
     if ( "yes".equalsIgnoreCase(getParameter("ShowColumnTitles","yes")))
        table.setShowColumnTitles(true);
     if ( "yes".equalsIgnoreCase(getParameter("ShowRowNumbers","yes")))
        table.setShowRowNumbers(true);
                                
     // Make input boxes for getting expressions that can include
     // the variables associated with the table.  Initially, the 
     // expressions are just the column names.
     Parser parser = new Parser();
     table.addVariablesToParser(parser);
     ExpressionInput input1 = new ExpressionInput(table.getColumnName(0),parser);
     input1.setOnUserAction(mainController);
     ExpressionInput input2 = new ExpressionInput(table.getColumnName(1),parser);
     input2.setOnUserAction(mainController);
     
     // Make a scatter plot that graphs the first expressiong vs. the second expression.
     scatterPlot = new ScatterPlot(table, input1.getExpression(), input2.getExpression());
     if ( ! "yes".equalsIgnoreCase(getParameter("ShowRegressionLine","yes")))
       scatterPlot.setShowRegressionLine(false);
     if ( ! "yes".equalsIgnoreCase(getParameter("MissingValueIsError","yes")))
       scatterPlot.setMissingValueIsError(false);
       
     // Create the display canvas where the scater plot will be shown.
     canvas = new DisplayCanvas();
     canvas.add(new Axes());
     canvas.add(scatterPlot);
     mainController.setErrorReporter(canvas);
     
     // A compute button to recompute everything.
     
     ComputeButton computeButton = new ComputeButton("Update Display");
     computeButton.setOnUserAction(mainController);
     computeButton.setBackground(Color.lightGray);
     
     // A menu of files that can be loaded.  If no filenames are provided as
     // applet parameters, then menu is null.
     
     Panel menu = makefileMenu();
     
     // Lay out the components in the applet.
     
     JCMPanel inputPanel = null;
     Panel bottom = null;  //might not be a JCMPanel
     if ( "yes".equalsIgnoreCase(getParameter("UseExpressionInputs","yes"))) {
        inputPanel = new JCMPanel(1,2);
        inputPanel.setBackground(Color.lightGray);
        JCMPanel leftInput = new JCMPanel();
        leftInput.add(new Label("  Plot:  "), BorderLayout.WEST);
        leftInput.add(input1, BorderLayout.CENTER);
        inputPanel.add(leftInput);
        JCMPanel rightInput = new JCMPanel();
        rightInput.add(new Label(" versus: "), BorderLayout.WEST);
        rightInput.add(input2, BorderLayout.CENTER);
        inputPanel.add(rightInput);
        bottom = new JCMPanel(new BorderLayout(12,3));
        bottom.add(inputPanel, BorderLayout.CENTER);
        bottom.add(computeButton, BorderLayout.EAST);
     }
     
     if ( scatterPlot.getShowRegressionLine() && "yes".equalsIgnoreCase(getParameter("ShowStats","yes")) ) {
           // Make a display label to show some statistics about the data.
        DisplayLabel dl = new DisplayLabel(
              "Slope = #;  Intercept = #;  Correlation = #",
               new Value[] { scatterPlot.getValueObject(ScatterPlot.SLOPE), 
                             scatterPlot.getValueObject(ScatterPlot.INTERCEPT), 
                             scatterPlot.getValueObject(ScatterPlot.CORRELATION) }
           );
        dl.setAlignment(Label.CENTER);
        dl.setBackground(Color.lightGray);
        dl.setForeground(new Color(200,0,0));
        dl.setFont(new Font("Serif",Font.PLAIN,14));
        if (bottom != null) 
           bottom.add(dl, BorderLayout.SOUTH);
        else {
           bottom = new JCMPanel(new BorderLayout(12,3));
           bottom.add(dl, BorderLayout.CENTER);
           bottom.add(computeButton, BorderLayout.EAST);
        }
     }
     
     if (bottom == null) {
        if (menu != null)
           menu.add(computeButton, BorderLayout.EAST);
        else {
           bottom = new Panel();
           bottom.add(computeButton);
        }
     }
     
     panel.add(canvas, BorderLayout.CENTER);
     panel.add(table, BorderLayout.WEST);
     if (bottom != null)
        panel.add(bottom, BorderLayout.SOUTH);
     if (menu != null)
        panel.add(menu, BorderLayout.NORTH);
     else {
        String title = getParameter("PanelTitle");
        if (title != null) {
           Label pt = new Label(title, Label.CENTER);
           pt.setBackground(Color.lightGray);
           pt.setForeground(new Color(200,0,0));
           pt.setFont(new Font("Serif",Font.PLAIN,14));
           panel.add(pt, BorderLayout.NORTH);
        }
     }
        
     return panel;
     
  } // end makeMainPanel()
  
  
  private Panel makefileMenu() {
        // If the applet tag contains params named "File", "File1", "File2", ..., use
        // their values to make a file menu.  If the value of the param contains a ";",
        // then the first part, up to the ";", goes into the menu and the second part
        // is the name of the file.  If there is no ";", then the entire value is
        // shown in the menu and is also used as the name of the file.  The actual
        // files must be in the same directory as the Web page that contains the applet.
     Vector names = new Vector();
     fileMenu = new Choice();
     String file = getParameter("File");
     int ct = 1;
     if (file == null) {
        file = getParameter("File1");
        ct = 2;
     }
     while (file != null) {
        file = file.trim();
        int pos = file.indexOf(";");
        String menuEntry;
        if (pos == -1)
           menuEntry = file;
        else {
           menuEntry = file.substring(0,pos).trim();
           file = file.substring(pos+1).trim();
        }
        names.addElement(file);
        fileMenu.add(menuEntry);
        file = getParameter("File" + ct);
        ct++;
     }
     if (names.size() == 0) {
        fileMenu = null;
        return null;
     }
     else {
        fileNames  = new String[names.size()];
        for (int i = 0; i < names.size(); i++)
           fileNames[i] = (String)names.elementAt(i);
        Panel p = new Panel();
        p.setBackground(Color.lightGray);
        p.setLayout(new BorderLayout(5,5));
        p.add(fileMenu,BorderLayout.CENTER);
        loadFileButton = new Button("Load Data File: ");
        loadFileButton.addActionListener(this);
        p.add(loadFileButton,BorderLayout.WEST);
        fileMenu.setBackground(Color.white);
        return p;
     }
  }
  
  private void doLoadFile(String name) {
       // Load the file from the same directory as the Web page and put the data
       // from the file into the table.  The file should contain two numbers on
       // each line.
     InputStream in;
     try {
        URL url = new URL(getDocumentBase(), name);
        in = url.openStream();
     }
     catch (Exception e) {
        canvas.setErrorMessage(null,"Unable to open file named \"" + name + "\": " + e);
        return;
     }
     Reader inputReader = new InputStreamReader(in);
     try {
        table.readFromStream(inputReader);
        inputReader.close();
     }
     catch (Exception e) {
        canvas.setErrorMessage(null,"Unable to get data from file \"" + name + "\": " + e.getMessage());
        return;
     }
     mainController.rupute();
  }
  /**
   *  Respond when user clicks a button; not meant to be called directly.
   *  This opens and closes the separate window.
   */ 
  synchronized public void actionPerformed(ActionEvent evt) {
     Object source = evt.getSource();
     if (loadFileButton != null && source == loadFileButton) {
        doLoadFile( fileNames[fileMenu.getSelectedIndex()] );
     }
     else if (source == launchButton && launchButton != null) {
           // Open or close separate frame.
        launchButton.setEnabled(false);
        if (frame == null) {
           frame = new Frame(frameTitle);
           frame.add(makeMainPanel());
           frame.addWindowListener( new WindowAdapter() {
                 public void windowClosing(WindowEvent evt) {
                    frame.dispose();
                 }
                 public void windowClosed(WindowEvent evt) {
                    frameClosed();
                 }
              } );
           frame.pack();
           frame.setLocation(50,50);
           frame.show();
           launchButton.setLabel("Close Window");
           launchButton.setEnabled(true);
        }
        else {
           frame.dispose();
        }
     }
  }
  
  synchronized private void frameClosed() {
       // respond when separate window closes.
     frame = null;
     launchButton.setLabel(launchButtonName);
     launchButton.setEnabled(true);
  }
  
  /**
   *  Return the applet parameter with a given param name, but if no
   *  such applet param exists, return a default value instead.
   */
  protected String getParameter(String paramName, String defaultValue) {
      String val = getParameter(paramName);
      return (val == null)? defaultValue : val;
  }
     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        Applet app = new SimpleGraph();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   
  

} // end class ScatterPlotApplet


      </source>
   
  
 
  



Spline Editor

   <source lang="java">

/**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

import java.awt.*; import java.awt.datatransfer.*; import java.awt.event.*; import java.awt.geom.*; import java.beans.*; import java.io.*; import java.text.*; import java.util.*; import javax.imageio.*; import javax.swing.*; import javax.swing.event.*; import java.awt.image.*; import org.jdesktop.animation.timing.interpolation.*; import org.jdesktop.animation.timing.*; import org.jdesktop.animation.timing.Animator.*; import org.jdesktop.animation.timing.interpolation.*; import java.awt.image.*; import javax.swing.border.*; import java.net.*; public class SplineEditor extends JFrame {

   public SplineEditor() throws HeadlessException {
       super("Spline Editor");
       add(buildHeader(), BorderLayout.NORTH);
       add(buildControlPanel(), BorderLayout.CENTER);
       pack();
       setLocationRelativeTo(null);
       setResizable(false);
       setDefaultCloseOperation(EXIT_ON_CLOSE);
   }
   private Component buildHeader() {
       ImageIcon icon = new ImageIcon(getClass().getResource("simulator.png"));
       HeaderPanel header = new HeaderPanel(icon,
                                            "Timing Framework Spline Editor",
                                            "Drag control points in the display to change the shape of the spline.",
                                            "Click the Copy Code button to generate the corresponding Java code.");
       return header;
   }
   private Component buildControlPanel() {
       return new SplineControlPanel();
   }
   
   public static void main(String[] args) {
       SwingUtilities.invokeLater(new Runnable() {
           public void run() {
               try {
                   UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
               } catch (ClassNotFoundException e) {
               } catch (InstantiationException e) {
               } catch (IllegalAccessException e) {
               } catch (UnsupportedLookAndFeelException e) {
               }
               
               new SplineEditor().setVisible(true);
           }
       });
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

/**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/


class EquationDisplay extends JComponent implements PropertyChangeListener {

   private static final Color COLOR_BACKGROUND = Color.WHITE;
   private static final Color COLOR_MAJOR_GRID = Color.GRAY.brighter();
   private static final Color COLOR_MINOR_GRID = new Color(220, 220, 220);
   private static final Color COLOR_AXIS = Color.BLACK;
   
   private static final float STROKE_AXIS = 1.2f;
   private static final float STROKE_GRID = 1.0f;
   
   private static final float COEFF_ZOOM = 1.1f;
   
   private java.util.List<DrawableEquation> equations;
   protected double minX;
   protected double maxX;
   protected double minY;
   protected double maxY;
   private double originX;
   private double originY;
   private double majorX;
   private int minorX;
   private double majorY;
   private int minorY;
   
   private boolean drawText = true;
   
   private Point dragStart;
   
   private NumberFormat formatter;
   private ZoomHandler zoomHandler;
   private PanMotionHandler panMotionHandler;
   private PanHandler panHandler;
   public EquationDisplay(double originX, double originY,
                          double minX, double maxX,
                          double minY, double maxY,
                          double majorX, int minorX,
                          double majorY, int minorY) {
       if (minX >= maxX) {
           throw new IllegalArgumentException("minX must be < to maxX");
       }
       
       if (originX < minX || originX > maxX) {
           throw new IllegalArgumentException("originX must be between minX and maxX");
       }
       if (minY >= maxY) {
           throw new IllegalArgumentException("minY must be < to maxY");
       }
       
       if (originY < minY || originY > maxY) {
           throw new IllegalArgumentException("originY must be between minY and maxY");
       }
       
       if (minorX <= 0) {
           throw new IllegalArgumentException("minorX must be > 0");
       }
       
       if (minorY <= 0) {
           throw new IllegalArgumentException("minorY must be > 0");
       }
       
       if (majorX <= 0.0) {
           throw new IllegalArgumentException("majorX must be > 0.0");
       }
       
       if (majorY <= 0.0) {
           throw new IllegalArgumentException("majorY must be > 0.0");
       }
       
       this.originX = originX;
       this.originY = originY;
       this.minX = minX;
       this.maxX = maxX;
       this.minY = minY;
       this.maxY = maxY;
       
       this.majorX = majorX;
       this.minorX = minorX;
       this.majorY = majorY;
       this.minorY = minorY;
       
       this.equations = new LinkedList<DrawableEquation>();
       
       this.formatter = NumberFormat.getInstance();
       this.formatter.setMaximumFractionDigits(2);
       
       panHandler = new PanHandler();
       addMouseListener(panHandler);
       panMotionHandler = new PanMotionHandler();
       addMouseMotionListener(panMotionHandler);
       zoomHandler = new ZoomHandler();
       addMouseWheelListener(zoomHandler);
   }
   
   @Override
   public void setEnabled(boolean enabled) {
       if (isEnabled() != enabled) {
           //super.setEnabled(enabled);
           if (enabled) {
               addMouseListener(panHandler);
               addMouseMotionListener(panMotionHandler);
               addMouseWheelListener(zoomHandler);
           } else {
               removeMouseListener(panHandler);
               removeMouseMotionListener(panMotionHandler);
               removeMouseWheelListener(zoomHandler);
           }
       }
   }
   
   public boolean isDrawText() {
       return drawText;
   }
   public void setDrawText(boolean drawText) {
       this.drawText = drawText;
   }
   public void addEquation(AbstractEquation equation, Color color) {
       if (equation != null && !equations.contains(equation)) {
           equation.addPropertyChangeListener(this);
           equations.add(new DrawableEquation(equation, color));
           repaint();
       }
   }
   
   public void removeEquation(AbstractEquation equation) {
       if (equation != null) {
           DrawableEquation toRemove = null;
           for (DrawableEquation drawable: equations) {
               if (drawable.getEquation() == equation) {
                   toRemove = drawable;
                   break;
               }
           }
           
           if (toRemove != null) {
               equation.removePropertyChangeListener(this);
               equations.remove(toRemove);
               repaint();
           }
       }
   }
   @Override
   public Dimension getPreferredSize() {
       return new Dimension(400, 400);
   }
   public void propertyChange(PropertyChangeEvent evt) {
       repaint();
   }
   
   protected double yPositionToPixel(double position) {
       double height = (double) getHeight();
       return height - ((position - minY) * height / (maxY - minY));
   }
   protected double xPositionToPixel(double position) {
       return (position - minX) * (double) getWidth() / (maxX - minX);
   }
   
   protected double xPixelToPosition(double pixel) {
       double axisV = xPositionToPixel(originX);
       return (pixel - axisV) * (maxX - minX) / (double) getWidth();
   }
   
   protected double yPixelToPosition(double pixel) {
       double axisH = yPositionToPixel(originY);
       return (getHeight() - pixel - axisH) * (maxY - minY) / (double) getHeight();
   }
   @Override
   protected void paintComponent(Graphics g) {
       if (!isVisible()) {
           return;
       }
       
       Graphics2D g2 = (Graphics2D) g;
       setupGraphics(g2);
       paintBackground(g2);
       drawGrid(g2);
       drawAxis(g2);
       
       drawEquations(g2);
       
       paintInformation(g2);
   }
   
   protected void paintInformation(Graphics2D g2) {
   }
   private void drawEquations(Graphics2D g2) {
       for (DrawableEquation drawable: equations) {
           g2.setColor(drawable.getColor());
           drawEquation(g2, drawable.getEquation());
       }
   }
   private void drawEquation(Graphics2D g2, AbstractEquation equation) {
       float x = 0.0f;
       float y = (float) yPositionToPixel(equation.rupute(xPixelToPosition(0.0)));
       
       GeneralPath path = new GeneralPath();
       path.moveTo(x, y);
       
       for (x = 0.0f; x < getWidth(); x += 1.0f) {
           double position = xPixelToPosition(x);
           y = (float) yPositionToPixel(equation.rupute(position));
           path.lineTo(x, y);
       }
       
       g2.draw(path);
   }
   private void drawGrid(Graphics2D g2) {
       Stroke stroke = g2.getStroke();
       drawVerticalGrid(g2);
       drawHorizontalGrid(g2);
       if (drawText) {
           drawVerticalLabels(g2);
           drawHorizontalLabels(g2);
       }
       
       g2.setStroke(stroke);
   }
   
   private void drawHorizontalLabels(Graphics2D g2) {
       double axisV = xPositionToPixel(originX);
       g2.setColor(COLOR_AXIS);
       for (double y = originY + majorY; y < maxY + majorY; y += majorY) {
           int position = (int) yPositionToPixel(y);
           g2.drawString(formatter.format(y), (int) axisV + 5, position);
       }
       
       for (double y = originY - majorY; y > minY - majorY; y -= majorY) {
           int position = (int) yPositionToPixel(y);
           g2.drawString(formatter.format(y), (int) axisV + 5, position);
       }
   }
   
   private void drawHorizontalGrid(Graphics2D g2) {
       double minorSpacing = majorY / minorY;
       double axisV = xPositionToPixel(originX);
       
       Stroke gridStroke = new BasicStroke(STROKE_GRID);
       Stroke axisStroke = new BasicStroke(STROKE_AXIS);
       
       for (double y = originY + majorY; y < maxY + majorY; y += majorY) {
           g2.setStroke(gridStroke);
           g2.setColor(COLOR_MINOR_GRID);
           for (int i = 0; i < minorY; i++) {
               int position = (int) yPositionToPixel(y - i * minorSpacing);
               g2.drawLine(0, position, getWidth(), position);    
           }
           int position = (int) yPositionToPixel(y);
           g2.setColor(COLOR_MAJOR_GRID);
           g2.drawLine(0, position, getWidth(), position);
           
           g2.setStroke(axisStroke);
           g2.setColor(COLOR_AXIS);
           g2.drawLine((int) axisV - 3, position, (int) axisV + 3, position);
       }
       for (double y = originY - majorY; y > minY - majorY; y -= majorY) {
           g2.setStroke(gridStroke);
           g2.setColor(COLOR_MINOR_GRID);
           for (int i = 0; i < minorY; i++) {
               int position = (int) yPositionToPixel(y + i * minorSpacing);
               g2.drawLine(0, position, getWidth(), position);    
           }
           int position = (int) yPositionToPixel(y);
           g2.setColor(COLOR_MAJOR_GRID);
           g2.drawLine(0, position, getWidth(), position);
           
           g2.setStroke(axisStroke);
           g2.setColor(COLOR_AXIS);
           g2.drawLine((int) axisV - 3, position, (int) axisV + 3, position);
       }
   }
   private void drawVerticalLabels(Graphics2D g2) {
       double axisH = yPositionToPixel(originY);
       FontMetrics metrics = g2.getFontMetrics();
       
       g2.setColor(COLOR_AXIS);
       for (double x = originX + majorX; x < maxX + majorX; x += majorX) {
           int position = (int) xPositionToPixel(x);
           g2.drawString(formatter.format(x), position, (int) axisH + metrics.getHeight());
       }
       for (double x = originX - majorX; x > minX - majorX; x -= majorX) {
           int position = (int) xPositionToPixel(x);
           g2.drawString(formatter.format(x), position, (int) axisH + metrics.getHeight());
       }
   }
   
   private void drawVerticalGrid(Graphics2D g2) {
       double minorSpacing = majorX / minorX;
       double axisH = yPositionToPixel(originY);
       
       Stroke gridStroke = new BasicStroke(STROKE_GRID);
       Stroke axisStroke = new BasicStroke(STROKE_AXIS);
       
       for (double x = originX + majorX; x < maxX + majorX; x += majorX) {
           g2.setStroke(gridStroke);
           g2.setColor(COLOR_MINOR_GRID);
           for (int i = 0; i < minorX; i++) {
               int position = (int) xPositionToPixel(x - i * minorSpacing);
               g2.drawLine(position, 0, position, getHeight());    
           }
           int position = (int) xPositionToPixel(x);
           g2.setColor(COLOR_MAJOR_GRID);
           g2.drawLine(position, 0, position, getHeight());
           g2.setStroke(axisStroke);
           g2.setColor(COLOR_AXIS);
           g2.drawLine(position, (int) axisH - 3, position, (int) axisH + 3);
       }
       for (double x = originX - majorX; x > minX - majorX; x -= majorX) {
           g2.setStroke(gridStroke);
           g2.setColor(COLOR_MINOR_GRID);
           for (int i = 0; i < minorX; i++) {
               int position = (int) xPositionToPixel(x + i * minorSpacing);
               g2.drawLine(position, 0, position, getHeight());    
           }
           int position = (int) xPositionToPixel(x);
           g2.setColor(COLOR_MAJOR_GRID);
           g2.drawLine(position, 0, position, getHeight());
           
           g2.setStroke(axisStroke);
           g2.setColor(COLOR_AXIS);
           g2.drawLine(position, (int) axisH - 3, position, (int) axisH + 3);
       }
   }
   private void drawAxis(Graphics2D g2) {
       double axisH = yPositionToPixel(originY);
       double axisV = xPositionToPixel(originX);
       
       g2.setColor(COLOR_AXIS);
       Stroke stroke = g2.getStroke();
       g2.setStroke(new BasicStroke(STROKE_AXIS));
       
       g2.drawLine(0, (int) axisH, getWidth(), (int) axisH);
       g2.drawLine((int) axisV, 0, (int) axisV, getHeight());
       
       FontMetrics metrics = g2.getFontMetrics();
       g2.drawString(formatter.format(0.0), (int) axisV + 5, (int) axisH + metrics.getHeight());
       
       g2.setStroke(stroke);
   }
   protected void setupGraphics(Graphics2D g2) {
       g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
                           RenderingHints.VALUE_ANTIALIAS_ON);
   }
   protected void paintBackground(Graphics2D g2) {
       g2.setColor(COLOR_BACKGROUND);
       g2.fill(g2.getClipBounds());
   }
   private class DrawableEquation {
       private AbstractEquation equation;
       private Color color;
       DrawableEquation(AbstractEquation equation, Color color) {
           this.equation = equation;
           this.color = color;
       }
       
       AbstractEquation getEquation() {
           return equation;
       }
       
       Color getColor() {
           return color;
       }
   }
   
   private class ZoomHandler implements MouseWheelListener {
       public void mouseWheelMoved(MouseWheelEvent e) {
           double distanceX = maxX - minX;
           double distanceY = maxY - minY;
           
           double cursorX = minX + distanceX / 2.0;
           double cursorY = minY + distanceY / 2.0;
           
           int rotation = e.getWheelRotation();
           if (rotation < 0) {
               distanceX /= COEFF_ZOOM;
               distanceY /= COEFF_ZOOM;
           } else {
               distanceX *= COEFF_ZOOM;
               distanceY *= COEFF_ZOOM;
           }
           
           minX = cursorX - distanceX / 2.0;
           maxX = cursorX + distanceX / 2.0;
           minY = cursorY - distanceY / 2.0;
           maxY = cursorY + distanceY / 2.0;
           repaint();
       }
   }
   
   private class PanHandler extends MouseAdapter {
       @Override
       public void mousePressed(MouseEvent e) {
           dragStart = e.getPoint();
       }
   }
   private class PanMotionHandler extends MouseMotionAdapter {
       @Override
       public void mouseDragged(MouseEvent e) {
           Point dragEnd = e.getPoint();
           double distance = xPixelToPosition(dragEnd.getX()) -
                             xPixelToPosition(dragStart.getX());
           minX -= distance;
           maxX -= distance;
           distance = yPixelToPosition(dragEnd.getY()) -
                      yPixelToPosition(dragStart.getY());
           minY -= distance;
           maxY -= distance;
           
           repaint();
           dragStart = dragEnd;
       }
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

interface Equation {

   public double compute(double variable);

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

abstract class AbstractEquation implements Equation {

   protected java.util.List<PropertyChangeListener> listeners;
   protected AbstractEquation() {
       this.listeners = new LinkedList<PropertyChangeListener>();
   }
   
   public void addPropertyChangeListener(PropertyChangeListener listener) {
       if (listener != null && !listeners.contains(listener)) {
           listeners.add(listener);
       }
   }
   
   public void removePropertyChangeListener(PropertyChangeListener listener) {
       if (listener != null) {
           listeners.remove(listener);
       }
   }
   
   protected void firePropertyChange(String propertyName,
                                     double oldValue,
                                     double newValue) {
       PropertyChangeEvent changeEvent = new PropertyChangeEvent(this,
                                                                 propertyName,
                                                                 oldValue,
                                                                 newValue);
       for (PropertyChangeListener listener: listeners) {
           listener.propertyChange(changeEvent);
       }
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class AbstractSimulator extends JComponent {

   protected double time;
   
   public AbstractSimulator() {
       this.time = 0.0f;
   }
   public void setTime(double time) {
       this.time = time;
       repaint();
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class BouncerSimulator extends AbstractSimulator {

   private static final Color COLOR_BACKGROUND = Color.WHITE;
   private BufferedImage image;
   public BouncerSimulator() {
       try {
           image = ImageIO.read(BouncerSimulator.class.getResource("item.png"));
       } catch (Exception e) { }
   }
   @Override
   protected void paintComponent(Graphics g) {
       if (!isVisible()) {
           return;
       }
       
       Graphics2D g2 = (Graphics2D) g;
       setupGraphics(g2);
       drawBackground(g2);
       drawItem(g2);
   }
   private void drawItem(Graphics2D g2) {
       double position = time;
       double xPos = position * getWidth() / 2;
       int width = getWidth() * 2 / 3;
       int x = (getWidth() - width) / 2;
       x += xPos;
       int y = getHeight() / 2;
       y -= image.getHeight() / 2;
       g2.drawImage(image, null, x, y);
   }
   private void setupGraphics(Graphics2D g2) {
       g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
                           RenderingHints.VALUE_ANTIALIAS_ON);
   }
   private void drawBackground(Graphics2D g2) {
       g2.setColor(COLOR_BACKGROUND);
       g2.fill(g2.getClipBounds());
   }
       
   @Override
   public Dimension getPreferredSize() {
       return new Dimension(150, 100);
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class DropSimulator extends AbstractSimulator {

   private static final Color COLOR_BACKGROUND = Color.WHITE;
   private BufferedImage image;
   private BufferedImage shadow;
   
   private float angle = 90;
   private int distance = 20;
   // cached values for fast painting
   private int distance_x = 0;
   private int distance_y = 0;
   
   public DropSimulator() {
       try {
           image = ImageIO.read(BouncerSimulator.class.getResource("icon.png"));
           ShadowFactory factory = new ShadowFactory(5, 0.5f, Color.BLACK);
           shadow = factory.createShadow(image);
       } catch (Exception e) { }
   }
   @Override
   protected void paintComponent(Graphics g) {
       if (!isVisible()) {
           return;
       }
       
       Graphics2D g2 = (Graphics2D) g;
       setupGraphics(g2);
       drawBackground(g2);
       drawItem(g2);
   }
   private void drawItem(Graphics2D g2) {
       double position = time;
       int width = (int) (shadow.getWidth() / 2 * (1.0 + position));
       int height = (int) (shadow.getHeight() / 2 * (1.0 + position));
       int x = (getWidth() - width) / 2;
       int y = (getHeight() - height) / 2;
       Composite composite = g2.getComposite();
       g2.setComposite(AlphaComposite.getInstance(AlphaComposite.SRC_OVER,
                                                  1.0f - (0.5f * (float) position)));
       computeShadowPosition((position * distance) + 1.0);
       g2.drawImage(shadow, x + distance_x, y + distance_y, width, height, null);
       
       g2.setComposite(composite);
       
       width = (int) (image.getWidth() / 2 * (1.0 + position));
       height = (int) (image.getHeight() / 2 * (1.0 + position));
       x = (getWidth() - width) / 2;
       y = (getHeight() - height) / 2;
       g2.drawImage(image, x, y, width, height, null);
   }
   private void setupGraphics(Graphics2D g2) {
       g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
                           RenderingHints.VALUE_ANTIALIAS_ON);
       g2.setRenderingHint(RenderingHints.KEY_INTERPOLATION,
                           RenderingHints.VALUE_INTERPOLATION_BICUBIC);
   }
   private void drawBackground(Graphics2D g2) {
       g2.setColor(COLOR_BACKGROUND);
       g2.fill(g2.getClipBounds());
   }
   @Override
   public Dimension getPreferredSize() {
       return new Dimension(150, 100);
   }
   private void computeShadowPosition(double distance) {
       double angleRadians = Math.toRadians(angle);
       distance_x = (int) (Math.cos(angleRadians) * distance);
       distance_y = (int) (Math.sin(angleRadians) * distance);
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class HeaderPanel extends JPanel {

   private ImageIcon icon;
   HeaderPanel(ImageIcon icon,
               String title,
               String help1,
               String help2) {
       super(new BorderLayout());
       this.icon = icon;
       JPanel titlesPanel = new JPanel(new GridLayout(3, 1));
       titlesPanel.setOpaque(false);
       titlesPanel.setBorder(new EmptyBorder(12, 0, 12, 0));
       JLabel headerTitle = new JLabel(title);
       Font police = headerTitle.getFont().deriveFont(Font.BOLD);
       headerTitle.setFont(police);
       headerTitle.setBorder(new EmptyBorder(0, 12, 0, 0));
       titlesPanel.add(headerTitle);
       JLabel message;
       titlesPanel.add(message = new JLabel(help1));
       police = headerTitle.getFont().deriveFont(Font.PLAIN);
       message.setFont(police);
       message.setBorder(new EmptyBorder(0, 24, 0, 0));
       titlesPanel.add(message = new JLabel(help2));
       police = headerTitle.getFont().deriveFont(Font.PLAIN);
       message.setFont(police);
       message.setBorder(new EmptyBorder(0, 24, 0, 0));
       message = new JLabel(this.icon);
       message.setBorder(new EmptyBorder(0, 0, 0, 12));
       add(BorderLayout.WEST, titlesPanel);
       add(BorderLayout.EAST, message);
       add(BorderLayout.SOUTH, new JSeparator(JSeparator.HORIZONTAL));
       setPreferredSize(new Dimension(500, this.icon.getIconHeight() + 24));
   }
   public void paintComponent(Graphics g) {
       super.paintComponent(g);
       if (!isOpaque()) {
           return;
       }
       
       Rectangle bounds = g.getClipBounds();
       Color control = UIManager.getColor("control");
       int width = getWidth();
       Graphics2D g2 = (Graphics2D) g;
       Paint storedPaint = g2.getPaint();
       g2.setPaint(new GradientPaint(this.icon.getIconWidth(), 0, Color.white, width, 0, control));
       g2.fillRect(bounds.x, bounds.y, bounds.width, bounds.height);
       g2.setPaint(storedPaint);
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class Java2dHelper {

   public static BufferedImage createCompatibleImage(int width, int height) {
       GraphicsEnvironment environment = GraphicsEnvironment.getLocalGraphicsEnvironment();
       GraphicsDevice screenDevice = environment.getDefaultScreenDevice();
       GraphicsConfiguration configuration = screenDevice.getDefaultConfiguration();
       return configuration.createCompatibleImage(width, height);
   }
   
   public static BufferedImage loadCompatibleImage(URL resource) throws IOException {
       BufferedImage image = ImageIO.read(resource);
       BufferedImage compatibleImage = createCompatibleImage(image.getWidth(), image.getHeight());
       Graphics g = compatibleImage.getGraphics();
       g.drawImage(image, 0, 0, null);
       g.dispose();
       image = null;
       return compatibleImage;
   }
   
   public static BufferedImage createThumbnail(BufferedImage image, int requestedThumbSize) {
       float ratio = (float) image.getWidth() / (float) image.getHeight();
       int width = image.getWidth();
       BufferedImage thumb = image;
       
       do {
           width /= 2;
           if (width < requestedThumbSize) {
               width = requestedThumbSize;
           }
           
           BufferedImage temp = new BufferedImage(width, (int) (width / ratio), BufferedImage.TYPE_INT_ARGB);
           Graphics2D g2 = temp.createGraphics();
           g2.setRenderingHint(RenderingHints.KEY_INTERPOLATION,
                               RenderingHints.VALUE_INTERPOLATION_BILINEAR);
           g2.drawImage(thumb, 0, 0, temp.getWidth(), temp.getHeight(), null);
           g2.dispose();
           thumb = temp;
       } while (width != requestedThumbSize);
       
       return thumb;
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

/**

*

A shadow factory generates a drop shadow for any given picture, respecting * the transparency channel if present. The resulting picture contains the * shadow only and to create a drop shadow effect you will need to stack the * original picture and the shadow generated by the factory. If you are using * Swing you can get this done very easily with the layout * {@link org.jdesktop.swingx.StackLayout}.

*

Shadow Properties

*

A shadow is defined by three properties: *

    *
  • size: The size, in pixels, of the shadow. This property also * defines the fuzzyness.
  • *
  • opacity: The opacity, between 0.0 and 1.0, of the shadow.
  • *
  • color: The color of the shadow. Shadows are not meant to be * black only.
  • *
* You can set these properties using the provided mutaters or the appropriate
* constructor. Here are two ways of creating a green shadow of size 10 and
* with an opacity of 50%:
*
 * ShadowFactory factory = new ShadowFactory(10, 0.5f, Color.GREEN);
 * // ..
 * factory = new ShadowFactory();
 * factory.setSize(10);
 * factory.setOpacity(0.5f);
 * factory.setColor(Color.GREEN);
 * 
* The default constructor provides the following default values:
*
    *
  • size: 5 pixels
  • *
  • opacity: 50%
  • *
  • color: Black
  • *

*

Shadow Quality

*

The factory provides two shadow generation algorithms: fast quality blur * and high quality blur. You can select your preferred algorithm by * setting the appropriate rendering hint: *

 * ShadowFactory factory = new ShadowFactory();
 * factory.setRenderingHint(ShadowFactory.KEY_BLUR_QUALITY,
 *                          ShadowFactory.VALUE_BLUR_QUALITY_HIGH);
 * 
* The default rendering algorihtm is VALUE_BLUR_QUALITY_FAST.

*

The current implementation should provide the same quality with both * algorithms but performances are guaranteed to be better (about 30 times * faster) with the fast quality blur.

*

Generating a Shadow

*

A shadow is generated as a BufferedImage from another * BufferedImage. Once the factory is set up, you must call * {@link #createShadow} to actually generate the shadow: *

 * ShadowFactory factory = new ShadowFactory();
 * // factory setup
 * BufferedImage shadow = factory.createShadow(bufferedImage); 
 * 
* The resulting image is of type BufferedImage.TYPE_INT_ARGB.
* Both dimensions of this image are larger than original image"s:
*
    *
  • new width = original width + 2 * shadow size
  • *
  • new height = original height + 2 * shadow size
  • *
* This must be taken into account when you need to create a drop shadow effect.

*

Properties Changes

*

This factory allows to register property change listeners with * {@link #addPropertyChangeListener}. Listening to properties changes is very * useful when you emebed the factory in a graphical component and give the API * user the ability to access the factory. By listening to properties changes, * you can easily repaint the component when needed.

*

Threading Issues

*

ShadowFactory is not guaranteed to be thread-safe.

* 
* @author Romain Guy <romain.guy@mac.ru>
* @author Sébastien Petrucci <sebastien_petrucci@yahoo.fr>
*/

class ShadowFactory {

   /**
*

Key for the blur quality rendering hint.

    */
   public static final String KEY_BLUR_QUALITY = "blur_quality";
   /**
*

Selects the fast rendering algorithm. This is the default rendering * hint for KEY_BLUR_QUALITY.

    */
   public static final String VALUE_BLUR_QUALITY_FAST = "fast";
   
   /**
*

Selects the high quality rendering algorithm. With current implementation, * This algorithm does not guarantee a better rendering quality and should * not be used.

    */
   public static final String VALUE_BLUR_QUALITY_HIGH = "high";
   /**
*

Identifies a change to the size used to render the shadow.

*

When the property change event is fired, the old value and the new * value are provided as Integer instances.

    */
   public static final String SIZE_CHANGED_PROPERTY = "shadow_size";
   
   /**
*

Identifies a change to the opacity used to render the shadow.

*

When the property change event is fired, the old value and the new * value are provided as Float instances.

    */
   public static final String OPACITY_CHANGED_PROPERTY = "shadow_opacity";
   
   /**
*

Identifies a change to the color used to render the shadow.

    */
   public static final String COLOR_CHANGED_PROPERTY = "shadow_color";
   // size of the shadow in pixels (defines the fuzziness)
   private int size = 5;
   
   // opacity of the shadow
   private float opacity = 0.5f;
   
   // color of the shadow
   private Color color = Color.BLACK;
   // rendering hints map
   private HashMap<Object, Object> hints;
   
   // notifies listeners of properties changes
   private PropertyChangeSupport changeSupport;
   /**
*

Creates a default good looking shadow generator. * The default shadow factory provides the following default values: *

    *
  • size: 5 pixels
  • *
  • opacity: 50%
  • *
  • color: Black
  • *
  • rendering quality: VALUE_BLUR_QUALITY_FAST
  • *

*

These properties provide a regular, good looking shadow.

    */
   public ShadowFactory() {
       this(5, 0.5f, Color.BLACK);
   }
   
   /**
*

A shadow factory needs three properties to generate shadows. * These properties are:

*
    *
  • size: The size, in pixels, of the shadow. This property also * defines the fuzzyness.
  • *
  • opacity: The opacity, between 0.0 and 1.0, of the shadow.
  • *
  • color: The color of the shadow. Shadows are not meant to be * black only.
  • *
</p> *

Besides these properties you can set rendering hints to control the * rendering process. The default rendering hints let the factory use the * fastest shadow generation algorithm.

    * @param size The size of the shadow in pixels. Defines the fuzziness.
    * @param opacity The opacity of the shadow.
    * @param color The color of the shadow.
    * @see #setRenderingHint(Object, Object)
    */
   public ShadowFactory(final int size, final float opacity, final Color color) {
       hints = new HashMap<Object, Object>();
       hints.put(KEY_BLUR_QUALITY, VALUE_BLUR_QUALITY_FAST);
       
       changeSupport = new PropertyChangeSupport(this);
       setSize(size);
       setOpacity(opacity);
       setColor(color);
   }
   /**
*

Add a PropertyChangeListener to the listener list. The listener is * registered for all properties. The same listener object may be added * more than once, and will be called as many times as it is added. If * listener is null, no exception is thrown and no action * is taken.

    * @param listener the PropertyChangeListener to be added
    */
   public void addPropertyChangeListener(PropertyChangeListener listener) {
       changeSupport.addPropertyChangeListener(listener);
   }
   /**
*

Remove a PropertyChangeListener from the listener list. This removes * a PropertyChangeListener that was registered for all properties. If * listener was added more than once to the same event source, * it will be notified one less time after being removed. If * listener is null, or was never added, no exception is thrown * and no action is taken.

    * @param listener
    */
   public void removePropertyChangeListener(PropertyChangeListener listener) {
       changeSupport.removePropertyChangeListener(listener);
   }
   /**
*

Maps the specified rendering hint key to the specified * value in this SahdowFactory object.

    * @param key The rendering hint key
    * @param value The rendering hint value
    */
   public void setRenderingHint(final Object key, final Object value) {
       hints.put(key, value);
   }
   /**
*

Gets the color used by the factory to generate shadows.

    * @return this factory"s shadow color
    */
   public Color getColor() {
       return color;
   }
   /**
*

Sets the color used by the factory to generate shadows.

*

Consecutive calls to {@link #createShadow} will all use this color * until it is set again.

*

If the color provided is null, the previous color will be retained.

    * @param shadowColor the generated shadows color
    */
   public void setColor(final Color shadowColor) {
       if (shadowColor != null) {
           Color oldColor = this.color;
           this.color = shadowColor;
           changeSupport.firePropertyChange(COLOR_CHANGED_PROPERTY,
                                            oldColor,
                                            this.color);
       }
   }
   /**
*

Gets the opacity used by the factory to generate shadows.

*

The opacity is comprised between 0.0f and 1.0f; 0.0f being fully * transparent and 1.0f fully opaque.

    * @return this factory"s shadow opacity
    */
   public float getOpacity() {
       return opacity;
   }
   /**
*

Sets the opacity used by the factory to generate shadows.

*

Consecutive calls to {@link #createShadow} will all use this color * until it is set again.

*

The opacity is comprised between 0.0f and 1.0f; 0.0f being fully * transparent and 1.0f fully opaque. If you provide a value out of these * boundaries, it will be restrained to the closest boundary.

    * @param shadowOpacity the generated shadows opacity
    */
   public void setOpacity(final float shadowOpacity) {
       float oldOpacity = this.opacity;
       
       if (shadowOpacity < 0.0) {
           this.opacity = 0.0f;
       } else if (shadowOpacity > 1.0f) {
           this.opacity = 1.0f;
       } else {
           this.opacity = shadowOpacity;
       }
       
       changeSupport.firePropertyChange(OPACITY_CHANGED_PROPERTY,
                                        new Float(oldOpacity),
                                        new Float(this.opacity));
   }
   /**
*

Gets the size in pixel used by the factory to generate shadows.

    * @return this factory"s shadow size
    */
   public int getSize() {
       return size;
   }
   /**
*

Sets the size, in pixels, used by the factory to generate shadows.

*

The size defines the blur radius applied to the shadow to create the * fuzziness.

*

There is virtually no limit to the size but it has an impact on shadow * generation performances. The greater this value, the longer it will take * to generate the shadow. Remember the generated shadow image dimensions * are computed as follow: *

    *
  • new width = original width + 2 * shadow size
  • *
  • new height = original height + 2 * shadow size
  • *
    * The size cannot be negative. If you provide a negative value, the size
* will be 0 instead.

    * @param shadowSize the generated shadows size in pixels (fuzziness)
    */
   public void setSize(final int shadowSize) {
       int oldSize = this.size;
       
       if (shadowSize < 0) {
           this.size = 0;
       } else {
           this.size = shadowSize;
       }
       
       changeSupport.firePropertyChange(SIZE_CHANGED_PROPERTY,
                                        new Integer(oldSize),
                                        new Integer(this.size));
   }
   /**
*

Generates the shadow for a given picture and the current properties * of the factory.

*

The generated shadow image dimensions are computed as follow: *

    *
  • new width = original width + 2 * shadow size
  • *
  • new height = original height + 2 * shadow size
  • *

*

The time taken by a call to this method depends on the size of the * shadow, the larger the longer it takes, and on the selected rendering * algorithm.

    * @param image the picture from which the shadow must be cast
    * @return the picture containing the shadow of image 
    */
   public BufferedImage createShadow(final BufferedImage image) {
       if (hints.get(KEY_BLUR_QUALITY) == VALUE_BLUR_QUALITY_HIGH) {
           // the high quality algorithm is a 3-pass algorithm
           // it goes through all the pixels of the original picture at least
           // three times to generate the shadow
           // it is easy to understand but very slow
           BufferedImage subject = prepareImage(image);
           BufferedImage shadow = new BufferedImage(subject.getWidth(),
                                                    subject.getHeight(),
                                                    BufferedImage.TYPE_INT_ARGB);
           BufferedImage shadowMask = createShadowMask(subject);
           getLinearBlurOp(size).filter(shadowMask, shadow);
           return shadow;
       }
       // call the fast rendering algorithm
       return createShadowFast(image);
   }
   
   // prepares the picture for the high quality rendering algorithm
   private BufferedImage prepareImage(final BufferedImage image) {
       BufferedImage subject = new BufferedImage(image.getWidth() + size * 2,
                                                 image.getHeight() + size * 2,
                                                 BufferedImage.TYPE_INT_ARGB);
       Graphics2D g2 = subject.createGraphics();
       g2.drawImage(image, null, size, size);
       g2.dispose();
       return subject;
   }
   // fast rendering algorithm
   // basically applies duplicates the picture and applies a size*size kernel
   // in only one pass.
   // the kernel is simulated by an horizontal and a vertical pass
   // implemented by Sébastien Petrucci
   private BufferedImage createShadowFast(final BufferedImage src) {
       int shadowSize = this.size;
       int srcWidth = src.getWidth();
       int srcHeight = src.getHeight();
       int dstWidth = srcWidth + size;
       int dstHeight = srcHeight + size;
       int left = (shadowSize - 1) >> 1;
       int right = shadowSize - left;
       int yStop = dstHeight - right;
       BufferedImage dst = new BufferedImage(dstWidth, dstHeight,
                                             BufferedImage.TYPE_INT_ARGB);
       int shadowRgb = color.getRGB() & 0x00FFFFFF;
       int[] aHistory = new int[shadowSize];
       int historyIdx;
       int aSum;
       ColorModel srcColorModel = src.getColorModel();
       WritableRaster srcRaster = src.getRaster();
       int[] dstBuffer = ((DataBufferInt) dst.getRaster().getDataBuffer()).getData();
       int lastPixelOffset = right * dstWidth;
       float hSumDivider = 1.0f / size;
       float vSumDivider = opacity / size;
       // horizontal pass : extract the alpha mask from the source picture and
       // blur it into the destination picture
       for (int srcY = 0, dstOffset = left * dstWidth; srcY < srcHeight; srcY++) {
           // first pixels are empty
           for (historyIdx = 0; historyIdx < shadowSize; ) {
               aHistory[historyIdx++] = 0;
           }
           aSum = 0;
           historyIdx = 0;
           // compute the blur average with pixels from the source image
           for (int srcX = 0; srcX < srcWidth; srcX++) {
               int a = (int) (aSum * hSumDivider); // calculate alpha value
               dstBuffer[dstOffset++] = a << 24;   // store the alpha value only
                                                   // the shadow color will be added in the next pass
               aSum -= aHistory[historyIdx]; // substract the oldest pixel from the sum
               // extract the new pixel ...
               a = srcColorModel.getAlpha(srcRaster.getDataElements(srcX, srcY, null));
               aHistory[historyIdx] = a;   // ... and store its value into history
               aSum += a;                  // ... and add its value to the sum
               if (++historyIdx >= shadowSize) {
                   historyIdx -= shadowSize;
               }
           }
           // blur the end of the row - no new pixels to grab
           for (int i = 0; i < shadowSize; i++) {
               int a = (int) (aSum * hSumDivider);
               dstBuffer[dstOffset++] = a << 24;
               // substract the oldest pixel from the sum ... and nothing new to add !
               aSum -= aHistory[historyIdx];
               if (++historyIdx >= shadowSize) {
                   historyIdx -= shadowSize;
               }
           }
       }
       // vertical pass
       for (int x = 0, bufferOffset = 0; x < dstWidth; x++, bufferOffset = x) {
           aSum = 0;
           // first pixels are empty
           for (historyIdx = 0; historyIdx < left;) {
               aHistory[historyIdx++] = 0;
           }
           // and then they come from the dstBuffer
           for (int y = 0; y < right; y++, bufferOffset += dstWidth) {
               int a = dstBuffer[bufferOffset] >>> 24;         // extract alpha
               aHistory[historyIdx++] = a;                     // store into history
               aSum += a;                                      // and add to sum
           }
           bufferOffset = x;
           historyIdx = 0;
           // compute the blur average with pixels from the previous pass
           for (int y = 0; y < yStop; y++, bufferOffset += dstWidth) {
               int a = (int) (aSum * vSumDivider);             // calculate alpha value
               dstBuffer[bufferOffset] = a << 24 | shadowRgb;  // store alpha value + shadow color
               aSum -= aHistory[historyIdx];   // substract the oldest pixel from the sum
               a = dstBuffer[bufferOffset + lastPixelOffset] >>> 24;   // extract the new pixel ...
               aHistory[historyIdx] = a;                               // ... and store its value into history
               aSum += a;                                              // ... and add its value to the sum
               if (++historyIdx >= shadowSize) {
                   historyIdx -= shadowSize;
               }
           }
           // blur the end of the column - no pixels to grab anymore
           for (int y = yStop; y < dstHeight; y++, bufferOffset += dstWidth) {
               int a = (int) (aSum * vSumDivider);
               dstBuffer[bufferOffset] = a << 24 | shadowRgb;
               aSum -= aHistory[historyIdx];   // substract the oldest pixel from the sum
               if (++historyIdx >= shadowSize) {
                   historyIdx -= shadowSize;
               }
           }
       }
       return dst;
   }
   // creates the shadow mask for the original picture
   // it colorize all the pixels with the shadow color according to their
   // original transparency
   private BufferedImage createShadowMask(final BufferedImage image) {
       BufferedImage mask = new BufferedImage(image.getWidth(),
                                              image.getHeight(),
                                              BufferedImage.TYPE_INT_ARGB);
       Graphics2D g2d = mask.createGraphics();
       g2d.drawImage(image, 0, 0, null);
       g2d.setComposite(AlphaComposite.getInstance(AlphaComposite.SRC_IN,
                                                   opacity));
       g2d.setColor(color);
       g2d.fillRect(0, 0, image.getWidth(), image.getHeight());
       g2d.dispose();
       return mask;
   }
   // creates a blur convolve operation by generating a kernel of
   // dimensions (size, size).
   private ConvolveOp getLinearBlurOp(final int size) {
       float[] data = new float[size * size];
       float value = 1.0f / (float) (size * size);
       for (int i = 0; i < data.length; i++) {
           data[i] = value;
       }
       return new ConvolveOp(new Kernel(size, size, data));
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class SplineControlPanel extends JPanel {

   private SplineDisplay display;
   private DropSimulator dropSimulator = new DropSimulator();
   private BouncerSimulator bounceSimulator = new BouncerSimulator();
   
   private int linesCount = 0;
   
   private JLabel labelControl1;
   private JLabel labelControl2;
   private Animator controller;
   
   SplineControlPanel() {
       super(new BorderLayout());
       
       add(buildEquationDisplay(), BorderLayout.CENTER);
       add(buildDebugControls(), BorderLayout.EAST);
   }
   
   private Component buildDebugControls() {
       JButton button;
       JPanel debugPanel = new JPanel(new GridBagLayout());
       
       debugPanel.add(Box.createHorizontalStrut(150),
               new GridBagConstraints(0, linesCount++,
               2, 1,
               1.0, 0.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.NONE,
               new Insets(0, 0, 0, 0),
               0, 0));
       

// button = addButton(debugPanel, "Create"); // button.addActionListener(new ActionListener() { // public void actionPerformed(ActionEvent e) { // JFileChooser chooser = new JFileChooser("."); // int choice = chooser.showSaveDialog(SplineControlPanel.this); // if (choice == JFileChooser.CANCEL_OPTION) { // return; // } // File file = chooser.getSelectedFile(); // try { // OutputStream out = new FileOutputStream(file); // display.saveAsTemplate(out); // out.close(); // } catch (FileNotFoundException e1) { // } catch (IOException e1) { // } // } // });

       addSeparator(debugPanel, "Control Points");
       labelControl1 = addDebugLabel(debugPanel, "Point 1:", formatPoint(display.getControl1()));
       labelControl2 = addDebugLabel(debugPanel, "Point 2:", formatPoint(display.getControl2()));
       button = addButton(debugPanel, "Copy Code");
       button.addActionListener(new ActionListener() {
           public void actionPerformed(ActionEvent e) {
               NumberFormat formatter = getNumberFormatter();
               Point2D c1 = display.getControl1();
               Point2D c2 = display.getControl2();
               
               StringBuilder code = new StringBuilder();
               code.append("Spline spline = new Spline(");
               code.append(formatter.format(c1.getX())).append("f, ");
               code.append(formatter.format(c1.getY())).append("f, ");
               code.append(formatter.format(c2.getX())).append("f, ");
               code.append(formatter.format(c2.getY())).append("f);");
               
               Clipboard clipboard = Toolkit.getDefaultToolkit().getSystemClipboard();
               clipboard.setContents(new StringSelection(code.toString()), null);
           }
       });
       
       addEmptySpace(debugPanel, 6);
       addSeparator(debugPanel, "Animation");
       
       button = addButton(debugPanel, "Play Sample");
       button.addActionListener(new ActionListener() {
           public void actionPerformed(ActionEvent e) {
               startSampleAnimation();
           }
       });
       
       addEmptySpace(debugPanel, 6);
       addSeparator(debugPanel, "Templates");
       debugPanel.add(createTemplates(),
               new GridBagConstraints(0, linesCount++,
               2, 1,
               1.0, 0.0,
               GridBagConstraints.CENTER,
               GridBagConstraints.NONE,
               new Insets(0, 0, 0, 0),
               0, 0));
       
       addEmptySpace(debugPanel, 6);
       
       debugPanel.add(Box.createVerticalGlue(),
               new GridBagConstraints(0, linesCount++,
               2, 1,
               1.0, 1.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.NONE,
               new Insets(0, 0, 0, 0),
               0, 0));
       
       JPanel wrapper = new JPanel(new BorderLayout());
       wrapper.add(new JSeparator(JSeparator.VERTICAL), BorderLayout.WEST);
       wrapper.add(debugPanel);
       wrapper.setBorder(BorderFactory.createEmptyBorder(0, 0, 0, 6));
       
       return wrapper;
   }
   
   private Component createTemplates() {
       DefaultListModel model = new DefaultListModel();
       model.addElement(createTemplate(0.0, 0.0, 1.0, 1.0));
       model.addElement(createTemplate(0.0, 1.0, 0.0, 1.0));
       model.addElement(createTemplate(0.0, 1.0, 1.0, 1.0));
       model.addElement(createTemplate(0.0, 1.0, 1.0, 0.0));
       model.addElement(createTemplate(1.0, 0.0, 0.0, 1.0));
       model.addElement(createTemplate(1.0, 0.0, 1.0, 1.0));
       model.addElement(createTemplate(1.0, 0.0, 1.0, 0.0));
       
       JList list = new JList(model);
       list.setSelectionMode(ListSelectionModel.SINGLE_SELECTION);
       list.setCellRenderer(new TemplateCellRenderer());
       list.addListSelectionListener(new TemplateSelectionHandler());
       
       JScrollPane pane = new JScrollPane(list);
       pane.getViewport().setPreferredSize(new Dimension(98, 97 * 3));
       return pane;
   }
   
   private JButton addButton(JPanel debugPanel, String label) {
       JButton button;
       debugPanel.add(button = new JButton(label),
               new GridBagConstraints(0, linesCount++,
               2, 1,
               1.0, 0.0,
               GridBagConstraints.CENTER,
               GridBagConstraints.NONE,
               new Insets(3, 0, 0, 0),
               0, 0));
       return button;
   }
   
   private String formatPoint(Point2D p) {
       NumberFormat formatter = getNumberFormatter();
       return "" + formatter.format(p.getX()) + ", " + formatter.format(p.getY());
   }
   
   private Component buildEquationDisplay() {
       JPanel panel = new JPanel(new BorderLayout());
       
       display = new SplineDisplay();
       display.addPropertyChangeListener("control1", new PropertyChangeListener() {
           public void propertyChange(PropertyChangeEvent evt) {
               labelControl1.setText(formatPoint(display.getControl1()));
           }
       });
       display.addPropertyChangeListener("control2", new PropertyChangeListener() {
           public void propertyChange(PropertyChangeEvent evt) {
               labelControl2.setText(formatPoint(display.getControl2()));
           }
       });
       
       panel.add(display, BorderLayout.NORTH);
       
       JPanel wrapper = new JPanel(new GridBagLayout());
       wrapper.add(new JSeparator(),
               new GridBagConstraints(0, 0,
               2, 1,
               1.0, 0.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.HORIZONTAL,
               new Insets(0, 0, 0, 0),
               0, 0));
       wrapper.add(bounceSimulator,
               new GridBagConstraints(0, 1,
               1, 1,
               1.0, 1.0,
               GridBagConstraints.CENTER,
               GridBagConstraints.BOTH,
               new Insets(0, 0, 0, 0),
               0, 0));
       wrapper.add(dropSimulator,
               new GridBagConstraints(1, 1,
               1, 1,
               1.0, 1.0,
               GridBagConstraints.CENTER,
               GridBagConstraints.BOTH,
               new Insets(0, 0, 0, 0),
               0, 0));
       panel.add(wrapper, BorderLayout.CENTER);
       
       return panel;
   }
   
   private JLabel addDebugLabel(JPanel panel, String label, String value) {
       JLabel labelComponent = new JLabel(label);
       panel.add(labelComponent,
               new GridBagConstraints(0, linesCount,
               1, 1,
               0.5, 0.0,
               GridBagConstraints.LINE_END,
               GridBagConstraints.NONE,
               new Insets(0, 6, 0, 0),
               0, 0));
       labelComponent = new JLabel(value);
       panel.add(labelComponent,
               new GridBagConstraints(1, linesCount++,
               1, 1,
               0.5, 0.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.NONE,
               new Insets(0, 6, 0, 0),
               0, 0));
       return labelComponent;
   }
   
   private void addEmptySpace(JPanel panel, int size) {
       panel.add(Box.createVerticalStrut(size),
               new GridBagConstraints(0, linesCount++,
               2, 1,
               1.0, 0.0,
               GridBagConstraints.CENTER,
               GridBagConstraints.VERTICAL,
               new Insets(6, 0, 0, 0),
               0, 0));
   }
   
   private void addSeparator(JPanel panel, String label) {
       JPanel innerPanel = new JPanel(new GridBagLayout());
       innerPanel.add(new JLabel(label),
               new GridBagConstraints(0, 0,
               1, 1,
               0.0, 0.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.NONE,
               new Insets(0, 0, 0, 0),
               0, 0));
       innerPanel.add(new JSeparator(),
               new GridBagConstraints(1, 0,
               1, 1,
               0.9, 0.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.HORIZONTAL,
               new Insets(0, 6, 0, 6),
               0, 0));
       panel.add(innerPanel,
               new GridBagConstraints(0, linesCount++,
               2, 1,
               1.0, 0.0,
               GridBagConstraints.LINE_START,
               GridBagConstraints.HORIZONTAL,
               new Insets(6, 6, 6, 0),
               0, 0));
   }
   
   private void startSampleAnimation() {
       if (controller != null && controller.isRunning()) {
           controller.stop();
       }
       
       Point2D control1 = display.getControl1();
       Point2D control2 = display.getControl2();
       Interpolator splines = new SplineInterpolator((float) control1.getX(), 
               (float) control1.getY(),
               (float) control2.getX(), (float) control2.getY());
       KeyTimes times = new KeyTimes(0.0f, 1.0f);
       KeyValues values = KeyValues.create(0.0, 1.0);
       KeyFrames frames = new KeyFrames(values,times, splines);
       
       PropertySetter dropModifier = new PropertySetter(dropSimulator,
               "time", frames);
       PropertySetter bounceModifier = new PropertySetter(bounceSimulator,
               "time", frames);
       
       controller = new Animator(1000, 4, RepeatBehavior.REVERSE, dropModifier);
       controller.setResolution(10);
       controller.addTarget(bounceModifier);
       
       controller.start();
   }
   
   private Evaluator point2dInterpolator = new Point2DNonLinearInterpolator();
   
   private class Point2DNonLinearInterpolator extends Evaluator<Point2D> {
       private Point2D value;
       public Point2D evaluate(Point2D v0, Point2D v1,
               float fraction) {
           Point2D value = (Point2D)v0.clone();
           if (v0 != v1) {
               double x = value.getX();
               x += (v1.getX() - v0.getX()) * fraction;
               double y = value.getY();
               y += (v1.getY() - v0.getY()) * fraction;
               value.setLocation(x, y);
           } else {
               value.setLocation(v0.getX(), v0.getY());
           }
           return value;
       }
   }
   
   private class TemplateSelectionHandler implements ListSelectionListener {
       public void valueChanged(ListSelectionEvent e) {
           if (e.getValueIsAdjusting()) {
               return;
           }
           
           JList list = (JList) e.getSource();
           Template template = (Template) list.getSelectedValue();
           if (template != null) {
               if (controller != null && controller.isRunning()) {
                   controller.stop();
               }
               
               controller = new Animator(300,
                       new PropertySetter(display, "control1",
                       point2dInterpolator, display.getControl1(),
                       template.getControl1()));
               controller.setResolution(10);
               controller.addTarget(new PropertySetter(display, "control2",
                       point2dInterpolator, display.getControl2(),
                       template.getControl2()));
               
               controller.start();
           }
       }
   }
   
   private static NumberFormat getNumberFormatter() {
       NumberFormat formatter = NumberFormat.getInstance(Locale.ENGLISH);
       formatter.setMinimumFractionDigits(2);
       formatter.setMaximumFractionDigits(2);
       return formatter;
   }
   
   private static Template createTemplate(double x1, double y1, double x2, double y2) {
       return new Template(new Point2D.Double(x1, y1),
               new Point2D.Double(x2, y2));
   }
   
   private static class TemplateCellRenderer extends DefaultListCellRenderer {
       private boolean isSelected;
       
       @Override
       public Component getListCellRendererComponent(JList list, Object value, int index,
               boolean isSelected, boolean cellHasFocus) {
           Template template = (Template) value;
           this.setBackground(Color.WHITE);
           this.setIcon(new ImageIcon(template.getImage()));
           this.isSelected = isSelected;
           return this;
       }
       
       @Override
       protected void paintComponent(Graphics g) {
           super.paintComponent(g);
           
           if (isSelected) {
               g.setColor(new Color(0.0f, 0.0f, 0.7f, 0.1f));
               g.fillRect(0, 0, getWidth(), getHeight());
           }
       }
   }
   
   private static class Template {
       private Point2D control1;
       private Point2D control2;
       private Image image;
       
       public Template(Point2D control1, Point2D control2) {
           this.control1 = control1;
           this.control2 = control2;
       }
       
       public Point2D getControl1() {
           return control1;
       }
       
       public Point2D getControl2() {
           return control2;
       }
       
       public Image getImage() {
           if (image == null) {
               NumberFormat formatter = getNumberFormatter();
               
               String name = "";
               name += formatter.format(control1.getX()) + "-" + formatter.format(control1.getY());
               name += "-";
               name += formatter.format(control2.getX()) + "-" + formatter.format(control2.getY());
               
               try {
                   image = ImageIO.read(getClass().getResourceAsStream(name + ".png"));
               } catch (IOException e) {
               }
           }
           
           return image;
       }
   }

} /**

* Copyright (c) 2006, Sun Microsystems, Inc
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
*   * Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   * Redistributions in binary form must reproduce the above
*     copyright notice, this list of conditions and the following
*     disclaimer in the documentation and/or other materials provided
*     with the distribution.
*   * Neither the name of the TimingFramework project nor the names of its
*     contributors may be used to endorse or promote products derived
*     from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

class SplineDisplay extends EquationDisplay {

   private static final double CONTROL_POINT_SIZE = 12.0;
   private Point2D control1 = new Point2D.Double(0.25, 0.75);
   private Point2D control2 = new Point2D.Double(0.75, 0.25);
   
   private Point2D selected = null;
   private Point dragStart = null;
   
   private boolean isSaving = false;
   
   private PropertyChangeSupport support;
   
   SplineDisplay() {
       super(0.0, 0.0,
             -0.1, 1.1, -0.1, 1.1,
             0.2, 6,
             0.2, 6);
       
       setEnabled(false);
       
       addMouseMotionListener(new ControlPointsHandler());
       addMouseListener(new SelectionHandler());
       
       support = new PropertyChangeSupport(this);
   }
   
   public void addPropertyChangeListener(String propertyName, PropertyChangeListener listener) {
       support.addPropertyChangeListener(propertyName, listener);
   }
   public void removePropertyChangeListener(String propertyName, PropertyChangeListener listener) {
       support.removePropertyChangeListener(propertyName, listener);
   }
   public Point2D getControl1() {
       return (Point2D) control1.clone();
   }
   public Point2D getControl2() {
       return (Point2D) control2.clone();
   }
   
   public void setControl1(Point2D control1) {
       support.firePropertyChange("control1",
                                  (Point2D) this.control1.clone(),
                                  (Point2D) control1.clone());
       this.control1 = (Point2D) control1.clone();
       repaint();
   }
   public void setControl2(Point2D control2) {
       support.firePropertyChange("control2",
                                  (Point2D) this.control2.clone(),
                                  (Point2D) control2.clone());
       this.control2 = (Point2D) control2.clone();
       repaint();
   }
   
   synchronized void saveAsTemplate(OutputStream out) {
       BufferedImage image = Java2dHelper.createCompatibleImage(getWidth(), getHeight());
       Graphics g = image.getGraphics();
       isSaving = true;
       setDrawText(false);
       paint(g);
       setDrawText(true);
       isSaving = false;
       g.dispose();
       
       BufferedImage subImage = image.getSubimage((int) xPositionToPixel(0.0),
                                                  (int) yPositionToPixel(1.0),
                                                  (int) (xPositionToPixel(1.0) - xPositionToPixel(0.0)) + 1,
                                                  (int) (yPositionToPixel(0.0) - yPositionToPixel(1.0)) + 1);
       
       try {
           ImageIO.write(subImage, "PNG", out);
       } catch (IOException e) {
       }
       
       image.flush();
       subImage = null;
       image = null;
   }
   @Override
   protected void paintInformation(Graphics2D g2) {
       if (!isSaving) {
           paintControlPoints(g2);
       }
       paintSpline(g2);
   }
   private void paintControlPoints(Graphics2D g2) {
       paintControlPoint(g2, control1);
       paintControlPoint(g2, control2);
   }
       
   private void paintControlPoint(Graphics2D g2, Point2D control) {
       double origin_x = xPositionToPixel(control.getX());
       double origin_y = yPositionToPixel(control.getY());
       double pos = control == control1 ? 0.0 : 1.0;
       
       Ellipse2D outer = getDraggableArea(control);
       Ellipse2D inner = new Ellipse2D.Double(origin_x + 2.0 - CONTROL_POINT_SIZE / 2.0,
                                              origin_y + 2.0 - CONTROL_POINT_SIZE / 2.0,
                                              8.0, 8.0);
       
       Area circle = new Area(outer);
       circle.subtract(new Area(inner));
       
       Stroke stroke = g2.getStroke();
       g2.setStroke(new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER,
                                    5, new float[] { 5, 5 }, 0));
       g2.setColor(new Color(1.0f, 0.0f, 0.0f, 0.4f));
       g2.drawLine(0, (int) origin_y, (int) origin_x, (int) origin_y);
       g2.drawLine((int) origin_x, (int) origin_y, (int) origin_x, getHeight());
       g2.setStroke(stroke);
       
       if (selected == control) {
           g2.setColor(new Color(1.0f, 1.0f, 1.0f, 1.0f));
       } else {
           g2.setColor(new Color(0.8f, 0.8f, 0.8f, 0.6f));
       }
       g2.fill(inner);
       
       g2.setColor(new Color(0.0f, 0.0f, 0.5f, 0.5f));
       g2.fill(circle);
       
       g2.drawLine((int) origin_x, (int) origin_y,
                   (int) xPositionToPixel(pos), (int) yPositionToPixel(pos));
   }
   private Ellipse2D getDraggableArea(Point2D control) {
       Ellipse2D outer = new Ellipse2D.Double(xPositionToPixel(control.getX()) - CONTROL_POINT_SIZE / 2.0,
                                              yPositionToPixel(control.getY()) - CONTROL_POINT_SIZE / 2.0,
                                              CONTROL_POINT_SIZE, CONTROL_POINT_SIZE);
       return outer;
   }
   private void paintSpline(Graphics2D g2) {
       CubicCurve2D spline = new CubicCurve2D.Double(xPositionToPixel(0.0), yPositionToPixel(0.0),
                                                     xPositionToPixel(control1.getX()),
                                                     yPositionToPixel(control1.getY()),
                                                     xPositionToPixel(control2.getX()),
                                                     yPositionToPixel(control2.getY()),
                                                     xPositionToPixel(1.0), yPositionToPixel(1.0));
       g2.setColor(new Color(0.0f, 0.3f, 0.0f, 1.0f));
       g2.draw(spline);
   }
   
   private void resetSelection() {
       Point2D oldSelected = selected;
       selected = null;
       
       if (oldSelected != null) {
           Rectangle bounds = getDraggableArea(oldSelected).getBounds();
           repaint(bounds.x, bounds.y, bounds.width, bounds.height);
       }
   }
   
   private class ControlPointsHandler extends MouseMotionAdapter {
       @Override
       public void mouseMoved(MouseEvent e) {
           Ellipse2D area1 = getDraggableArea(control1);
           Ellipse2D area2 = getDraggableArea(control2);
           
           if (area1.contains(e.getPoint()) || area2.contains(e.getPoint())) {
               setCursor(Cursor.getPredefinedCursor(Cursor.HAND_CURSOR));
           } else {
               setCursor(Cursor.getDefaultCursor());
           }
       }
       @Override
       public void mouseDragged(MouseEvent e) {
           if (selected == null) {
               return;
           }
           
           Point dragEnd = e.getPoint();
           double distance = xPixelToPosition(dragEnd.getX()) -
                             xPixelToPosition(dragStart.getX());
           double x = selected.getX() + distance;
           if (x < 0.0) {
               x = 0.0;
           } else if (x > 1.0) {
               x = 1.0;
           }
           
           distance = yPixelToPosition(dragEnd.getY()) -
                      yPixelToPosition(dragStart.getY());
           double y = selected.getY() + distance;
           if (y < 0.0) {
               y = 0.0;
           } else if (y > 1.0) {
               y = 1.0;
           }
           Point2D selectedCopy = (Point2D) selected.clone();
           selected.setLocation(x, y);
           support.firePropertyChange("control" + (selected == control1 ? "1" : "2"),
                                      selectedCopy, (Point2D) selected.clone());
           
           repaint();
           double xPos = xPixelToPosition(dragEnd.getX());
           double yPos = -yPixelToPosition(dragEnd.getY());
           
           if (xPos >= 0.0 && xPos <= 1.0) {
               dragStart.setLocation(dragEnd.getX(), dragStart.getY());
           }
           if (yPos >= 0.0 && yPos <= 1.0) {
               dragStart.setLocation(dragStart.getX(), dragEnd.getY());
           }
       }
   }
   
   private class SelectionHandler extends MouseAdapter {
       @Override
       public void mousePressed(MouseEvent e) {
           Ellipse2D area1 = getDraggableArea(control1);
           Ellipse2D area2 = getDraggableArea(control2);
           
           if (area1.contains(e.getPoint())) {
               selected = control1;
               dragStart = e.getPoint();
               
               Rectangle bounds = area1.getBounds();
               repaint(bounds.x, bounds.y, bounds.width, bounds.height);
           } else if (area2.contains(e.getPoint())) {
               selected = control2;
               dragStart = e.getPoint();
               
               Rectangle bounds = area2.getBounds();
               repaint(bounds.x, bounds.y, bounds.width, bounds.height);
           } else {
               resetSelection();
           }
       }
       @Override
       public void mouseReleased(MouseEvent e) {
           resetSelection();
       }
   }

}


      </source>
   
  
 
  



Trace curve

   <source lang="java">

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

  • *
  • This source code file, and compiled classes derived from it, can *
  • be used and distributed without restriction, including for commercial *
  • use. (Attribution is not required but is appreciated.) *
  • *
  • David J. Eck *
  • Department of Mathematics and Computer Science *
  • Hobart and William Smith Colleges *
  • Geneva, New York 14456, USA *
  • Email: eck@hws.edu WWW: http://math.hws.edu/eck/ *
  • *
                                                                                                                                                  • /

// The ParametricCurve applet is a configurable applet that displays a parametric // curve defined by two functions of a parameter t. There can be a "Tracer" button // on the applet. When the user clicks this button, a crosshair is moved along // the curve from beginning to end. import java.awt.*; import java.applet.Applet; import java.util.StringTokenizer; import java.util.Hashtable; import edu.hws.jcm.draw.*; import edu.hws.jcm.data.*; import edu.hws.jcm.functions.*; import edu.hws.jcm.awt.*;

public class Parametric extends GenericGraphApplet {

  // Declare some private variables that are created in one method in
  // this class and used in a second method.
  private Function xFunc,yFunc;    // The functions that are graphed.
  private ParametricCurve graph;   // The graph of the function.
  private Animator tracer;         // for tracing the curve by moving a crosshair along it
  private Crosshair crosshair;     // Crosshair used for tracing the graph
  private VariableInput tMin,tMax; // for inputting limits on t
  private VariableInput tIntervals; // for inutting the number of intervals into which the t-range is divided
  private ExpressionInput functionInput2;  // for inputting yFunc; xFunc is input in functionInput
  
  protected void setUpParameterDefaults() {
     parameterDefaults = new Hashtable();
     parameterDefaults.put("TwoLimitsColumns", "yes");
     parameterDefaults.put("Variable","t");
     parameterDefaults.put("XName","x");  // we need this so that xmin and xmax boxes are labeled correctly;
                                          // without it, the name would come from the variable name, t, instead of x
     parameterDefaults.put("FunctionLabel", "  " + getParameter("XName") + "(" + getParameter("Variable") + ") = ");
     parameterDefaults.put("FunctionLabel2", "  " + getParameter("YName","y") + "(" + getParameter("Variable") + ") = ");
  }
  protected void setUpCanvas() {  // Override this to add more stuff to the canvas.
  
     super.setUpCanvas();  // Do the common setup: Add the axes and
     // When setUpCanvas is called, the function inputs already exist, if they are
     // to be used, since they are created in setUpBopttomPanel(), which is called
     // before setUpCanvas().  If functionInput exists, add a graph of the functions
     // from functionInput and functionInput2 to the canvas.  If not, create a graph 
     // of the functions specified by the parameters named "Function" and "Function2".
     
     if (functionInput != null) {
        xFunc = functionInput.getFunction(xVar);
        yFunc = functionInput2.getFunction(xVar);
     }
     else {
        String xFuncDef = " cos(" + xVar.getName() + ") + cos(3*" + xVar.getName() + ")";
        String yFuncDef = " sin(4*" + xVar.getName() + ") - sin(2*" + xVar.getName() + ")";
        xFuncDef = getParameter("Function", xFuncDef);
        yFuncDef = getParameter("Function2", yFuncDef);
        Function f = new SimpleFunction( parser.parse(xFuncDef), xVar );
        xFunc = new WrapperFunction(f);
        f = new SimpleFunction( parser.parse(yFuncDef), xVar );
        yFunc = new WrapperFunction(f);
     }
     graph = new ParametricCurve(xFunc,yFunc);
     Color color = getColorParam("CurveColor");
     if (color != null)
        graph.setColor(color);
        
     // if inputs are desired to control the parameter on the curve, set them up here
        
     if  ("no".equalsIgnoreCase(getParameter("UseParamInputs","yes"))) {
        tMin = new VariableInput(xVar.getName() + "Start",getParameter("ParameterMin","-2"));
        tMax = new VariableInput(xVar.getName() + "End",getParameter("ParameterMax","2"));
        tIntervals = new VariableInput("Intervals", getParameter("Intervals","200"));
        tIntervals.setInputStyle(VariableInput.INTEGER);
        tIntervals.setMin(1);
        tIntervals.setMax(5000);
        tMin.setOnUserAction(mainController);
        tMax.setOnUserAction(mainController);
        tIntervals.setOnUserAction(mainController);
        graph.setTMin(tMin);
        graph.setTMax(tMax);
        graph.setIntervals(tIntervals);
        if (limitsPanel != null) {
              // componets will be added to limitsPanel in setUpLimitsPanel()
           mainController.add(tMin);  // This is not done automatically, since they are in a limits panel  
           mainController.add(tMax);
           mainController.add(tIntervals);
        }
        else {
           JCMPanel ap = new JCMPanel(9,0);
           ap.setBackground(getColorParam("PanelBackground", Color.lightGray));
           ap.add(new Label(tMin.getName()));
           ap.add(tMin);
           ap.add(new Label());
           ap.add(new Label(tMax.getName()));
           ap.add(tMax);
           ap.add(new Label());
           ap.add(new Label(tIntervals.getName()));
           ap.add(tIntervals);
           ap.add(new Label());
           mainPanel.add(ap,BorderLayout.EAST);
        }
     }
     else {
        try {
           graph.setTMin( new Constant((new Double(getParameter("ParameterMin","-2"))).doubleValue()) );
           graph.setTMax( new Constant((new Double(getParameter("ParameterMax","2"))).doubleValue()) );
           graph.setIntervals( new Constant((new Double(getParameter("Intervals","25"))).doubleValue()) );
        }
        catch (NumberFormatException e) {
        }
     }
     // If the applet is configured to have a tracer button, create it and add the crosshair to the canvas
     if (! "no".equalsIgnoreCase( getParameter("UseTracer","yes") ) ) {
        tracer = new Animator();
        tracer.setMin(graph.getTMin());
        tracer.setMax(graph.getTMax());
        tracer.setUndefinedWhenNotRunning(true);
        tracer.setStartButtonName("Trace Curve!");
        double[] d = getNumericParam("TracerIntervals");
        int ints;
        if (d == null || d.length != 1)
           ints = 100;
        else
           ints = (int)Math.round(d[0]);
        if (ints <= 0)
           tracer.setIntervals(graph.getIntervals());
        else
           tracer.setIntervals(ints);
        Variable v = tracer.getValueAsVariable();
        crosshair = new Crosshair( new ValueMath(xFunc,v), new ValueMath(yFunc,v) );
        crosshair.setLineWidth(3);
        crosshair.setColor(getColorParam("CrosshairColor",Color.gray));
        canvas.add(crosshair);
           
        if (inputPanel != null) {
           inputPanel.add(tracer,BorderLayout.WEST);
        }
        else if (limitsPanel == null) {
           Panel p = new Panel();
           p.add(tracer);
           mainPanel.add(p,BorderLayout.SOUTH);
        }
        // if inputPanel is null but limitsPanel is not null, the tracer will be
        //    added to the limit control panel in setUpLimitsPanel()
     }
     canvas.add(graph);  // Finally, add the graph to the canvas.
  } // end setUpCanvas()
  
  protected void setUpLimitsPanel() {
     super.setUpLimitsPanel();
     if (limitsPanel != null && tMin != null) {  // add parameter inputs to limits panel
         limitsPanel.addComponentPair(tMin,tMax);
         limitsPanel.addComponent(tIntervals);
     }
     if (inputPanel == null && tracer != null && limitsPanel != null)  {
         limitsPanel.addComponent(tracer);
     }
  }

  
  protected void setUpBottomPanel() { // override this to make a panel containing inputs for two functions
     if ( ! "no".equalsIgnoreCase(getParameter("UseFunctionInput", "yes")) ) {
     
        inputPanel = new JCMPanel();
        inputPanel.setBackground( getColorParam("PanelBackground", Color.lightGray) );
        Panel in = new JCMPanel(2,1);
        inputPanel.add(in,BorderLayout.CENTER);
      
        if ( ! "no".equalsIgnoreCase(getParameter("UseComputeButton", "yes")) ) {
           String cname = getParameter("ComputeButtonName", "New Functions");
           computeButton = new Button(cname);
           inputPanel.add(computeButton, BorderLayout.EAST); 
           computeButton.addActionListener(this);
        }
        String varName = getParameter("Variable");
        String def = getParameter("Function");
        if (def == null)
           def = "cos(" + varName + ") + cos(3*" + varName + ")";
        functionInput = new ExpressionInput(def,parser);
        String label = getParameter("FunctionLabel");
        if ("none".equalsIgnoreCase(label))
           in.add(functionInput);
        else {
           Panel p = new JCMPanel();
           p.add(functionInput,BorderLayout.CENTER);
           p.add( new Label(label), BorderLayout.WEST );
           in.add(p);
        }
        
        def = getParameter("Function2");
        if (def == null)
           def = "sin(4*" + varName + ") - sin(2*" + varName + ")";
        functionInput2 = new ExpressionInput(def,parser);
        label = getParameter("FunctionLabel2");
        if ("none".equalsIgnoreCase(label))
           in.add(functionInput2);
        else {
           Panel p = new JCMPanel();
           p.add(functionInput2,BorderLayout.CENTER);
           p.add( new Label(label), BorderLayout.WEST );
           in.add(p);
        }
        
        mainPanel.add(inputPanel, BorderLayout.SOUTH);
        functionInput.setOnUserAction(mainController);
        functionInput2.setOnUserAction(mainController);
     }
  }
     
  protected void setUpMainPanel() { // Override to set up controller for tracer, if there is one
  
     super.setUpMainPanel(); // Do the common setup
     if ( tracer == null ) {
        return;  // If the applet is not configured to use a trace button, there is nothing to do.
     }
     Controller traceController = new Controller();  // A controler that will only recompute the crosshair position
     traceController.add(tracer);
     traceController.add(crosshair);
     tracer.setOnChange(traceController);
  } // end setUpMainPanel()
  
  protected void doLoadExample(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 the Parametric applet, the example string should contain
        // two expression that defines the curve to be graphed, separated 
        // by a semicolon.  This can optionally
        // be followed by another semicolon and a list of four to seven numbers.
        // The first four numbers give the x- and y-limits to be used for the
        // example.  If they are not present, then -5,5,-5,5 is used.  The
        // next three numbers specify the minimum value for the parameter, the
        // maximum value, and the number of intervals into which the range of
        // parameter values is divided.
        
     if (tracer != null)
        tracer.stop();
        
     int pos = example.indexOf(";");
     if (pos == -1)
        return; // illegal example -- must have two functions
     String example2 = example.substring(pos+1);
     example = example.substring(0,pos);
     pos = example2.indexOf(";");   
     
        
     double[] limits = { -5,5,-5,5 }; // x- and y-limits to use
     if (pos > 0) { 
              // Get limits from example2 text.
        String nums = example2.substring(pos+1);
        example2 = example2.substring(0,pos);
        StringTokenizer toks = new StringTokenizer(nums, " ,");
        if (toks.countTokens() >= 4) {
           for (int i = 0; i < 4; i++) {
              try {
                  Double d = new Double(toks.nextToken());
                  limits[i] = d.doubleValue();
              }
              catch (NumberFormatException e) {
              }
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              double d = (new Double(toks.nextToken())).doubleValue();
              if (tMin == null) {
                 graph.setTMin(new Constant(d));
                 if (tracer != null)
                    tracer.setMin(d);
              }
              else
                 tMin.setVal(d);
           }
           catch (NumberFormatException e) {
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              double d = (new Double(toks.nextToken())).doubleValue();
              if (tMax == null) {
                 graph.setTMax(new Constant(d));
                 if (tracer != null)
                    tracer.setMax(d);
              }
              else
                 tMax.setVal(d);
           }
           catch (NumberFormatException e) {
           }
        }
        if (toks.hasMoreTokens()) {
           try {
              int d = (int)Math.round((new Double(toks.nextToken())).doubleValue());
              if (tIntervals == null) {
                 if (tracer != null && tracer.getIntervals() == graph.getIntervals())
                    tracer.setIntervals(d);
                 graph.setIntervals(new Constant(d));
              }
              else
                 tIntervals.setVal(d);
           }
           catch (NumberFormatException e) {
           }
        }
     }
     
     // Set up the example data and recompute everything.
     if (functionInput != null) {
           // If there is a function input box, put the example text in it.
        functionInput.setText(example);
        functionInput2.setText(example2);
     }
     else { 
          // If there is no user input, set the function in the graph directly.
        try {
           Function f = new SimpleFunction( parser.parse(example), xVar );
           ((WrapperFunction)xFunc).setFunction(f);
           Function g = new SimpleFunction( parser.parse(example2), xVar );
           ((WrapperFunction)yFunc).setFunction(g);
        }
        catch (ParseError e) {  
            // There should"t be parse error"s in the Web-page
            // author"s examples!  If there are, the function
            // just won"t change.
        }
     }
     CoordinateRect coords = canvas.getCoordinateRect(0);
     coords.setLimits(limits);
     coords.setRestoreBuffer();
     mainController.rupute();
     
  } // end doLoadExample()
  
  public void stop() {  // stop animator when applet is stopped
     if (tracer != null)
        tracer.stop();
     super.stop();
  }

     public static void main(String[] a){
        javax.swing.JFrame f = new javax.swing.JFrame();
        Applet app = new Parametric();
        app.init();
        
        f.getContentPane().add (app);
        f.pack();
        f.setSize (new Dimension (500, 500));
        f.setVisible(true);
     }   

} // end class Parametric

      </source>
   
  
 
  



Zoom interaction, Text background color, and the effect of transparency

   <source lang="java">

import java.awt.*; import javax.swing.*; import no.geosoft.cc.graphics.*;

/**

* G demo program. Demonstrates:
*
*
    *
  • Custom world extent *
  • Zoom interaction *
  • Text background color *
  • The effect of transparency *
  • Annotation layout algorithm *
* 
* @author