Draw math function on the coordinate : Math Functions « Advanced Graphics « Java
Draw math function on the coordinate
/*************************************************************************
* *
* 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 GraphApplet2 extends java.applet.Applet {
public static void main(String[] a){
javax.swing.JFrame f = new javax.swing.JFrame();
java.applet.Applet app = new GraphApplet2();
app.init();
f.getContentPane().add (app);
f.pack();
f.setSize (new Dimension (500, 500));
f.setVisible(true);
}
private DisplayCanvas canvas;
public void stop() {
// To be a little nicer to the system, I have declared the DisplayCanvas
// outside the init() method, and I use the standard stop() method of
// the applet to call canvas.releaseResources(). This frees up the
// substantial amount of memory that is used for the off-screen copy
// of image displayed on the canvas. (This off-screen copy is used for
// "double-buffering".)
canvas.releaseResources();
}
public void init() {
Parser parser = new Parser(); // Create the parser and the variable, x.
Variable x = new Variable("x");
parser.add(x);
canvas = new DisplayCanvas(); // Create the canvas, and set it to do zooming.
canvas.setHandleMouseZooms(true);
canvas.add(new Panner()); // Adding a panner lets the user right-click-and-drag on the
// canvas to slide the graph around.
CoordinateRect coords = canvas.getCoordinateRect();
// Behind the scene, a canvas has a CoordinateRect, which actually keeps track
// of the x- and y-limits (and does some of the other work of the canvas).
// For some purposes, you need the CoordinateRect. You can obtain it by
// calling the DisplayCanvas's getCoordinateRect() method.
LimitControlPanel limits =
new LimitControlPanel( LimitControlPanel.SET_LIMITS | LimitControlPanel.RESTORE, false);
// In this case, I am using a LimitControlPanel that contains two buttons.
// the usual "Set Limits" button and a "Restore Limits" button. The second button
// button will restore the original limits on the canvas. The second parameter
// to this constructor can be set to true if you would like the components in the
// LimitControlPanel to be arranged into two columns instead of one.
// Buttons can also be added after the constructor is called by calling
// the addButtons() method from class LimitControlPanel.
limits.addCoords(canvas);
ExpressionInput input = new ExpressionInput("sin(x)+2*cos(3*x)", parser); // For user input
Function func = input.getFunction(x); // The function that will be graphed.
Graph1D graph = new Graph1D(func); // The graph itself.
VariableInput xInput = new VariableInput(); // An input box where the user can
// specify the x-coordinate of the
// point on the graph that is marked
// by the crosshair.
VariableSlider xSlider = new VariableSlider( coords.getValueObject(CoordinateRect.XMIN),
coords.getValueObject(CoordinateRect.XMAX) );
// A VariableSlider is a slider (actually a Scrollbar) that the user can
// adjust as a means of inputting a value. The parameters to the constructor
// specify the minimum and maximum of this value. In this case, the minimum
// value is coords.getValueObject(CoordinateRect.XMIN). This says that the
// minimum value on the slider is given by the minimum x-value on the canvas's
// CoordinateRect. This minimum is adjusted automatically when the limits
// on the CoordinateRect change. The maximum value is similar.
// This Variable Slider is actually used as a second way of inputting the
// x-coordinate of the point where the crosshair is shown. Later, the value of
// the slider will be "tied" to the value in the VariableInput. You should check
// that when you change one, the other is also changed. (To change the
// value associated with the VariableInput box, you have to press return
// in that box.)
DrawString info = new DrawString("x = #\nf(x) = #", DrawString.TOP_LEFT,
new Value[] { xSlider, new ValueMath(func,xSlider) });
// A DrawString draws a string on a DisplayCanvas. The string can have line
// breaks, indicated by '\n', and can contain embedded Values, indicated
// by '#'. The position of the string is DrawString.TOP_LEFT. That is,
// it is in the top-left corner of the canvas. The third parameter is
// an array of Value objects whose values are substituted for the #'s
// in the string.
info.setFont( new Font("SansSerif",Font.BOLD,12) ); // Set properties of the DrawString.
info.setColor( new Color(0,100,0) );
info.setOffset(10);
ComputeButton graphIt = new ComputeButton("Graph It!");
// A ComputeButton is just a button that can be registered with a Controller,
// so that clicking on the Button causes the Controller to compute. In this
// case, this is a redundant input, since pressing return in the ExpressionInput
// box will accomplish the same thing. However, the button gives the user
// a more obvious way to change the function that is graphed.
JCMPanel main = new JCMPanel(); // The interface is constructed of JCMPanels.
JCMPanel top = new JCMPanel();
JCMPanel bottom = new JCMPanel();
main.add(canvas, BorderLayout.CENTER);
main.add(limits, BorderLayout.EAST);
main.add(bottom, BorderLayout.SOUTH);
main.add(top, BorderLayout.NORTH);
main.setInsetGap(3);
top.add(input, BorderLayout.CENTER);
top.add(new Label(" f(x) = "), BorderLayout.WEST);
top.add(graphIt, BorderLayout.EAST);
bottom.add(xSlider, BorderLayout.CENTER);
bottom.add(xInput, BorderLayout.EAST);
bottom.add(new Label(" x = "), BorderLayout.WEST);
setLayout(new BorderLayout()); // Set up for the Applet itself.
add(main, BorderLayout.CENTER);
setBackground(Color.lightGray);
canvas.add( new Axes() ); // Add a set of axes to the DisplayCanvas.
canvas.add(graph); // Add the graph of the function to the DisplayCanvas.
canvas.add( new Crosshair(xSlider, func) ); // Add a CrossHair to the canvas.
// The crosshair is on the graph of the
// function, func, at the point whose xCoordinate
// is given by the value on the slider, xSlider.
canvas.add( info ); // Add the DrawString to the canvas.
canvas.add( new DrawBorder(Color.darkGray, 2) ); // Add a 2-pixel dark gray border around
// edges of the canvas.
main.gatherInputs(); // The Controller for the main panel.
// must be set to respond to user actions
// on the input objects. The gatherInputs()
// method is an easy way to do this. This calls
// the setOnUserAction() method of the four
// input objects: input, graphIt, xInput
// and xSlider.
Controller controller = main.getController(); // Get the controller from the main panel.
// We still need it for a few things...
graphIt.setOnUserAction(controller); // ComputeButtons aren't handled automatically
// by main.gatherInput(). It must be set
// to notify the controller when it is clicked,
// in order for the applet to be recomputed
// when the button is clicked.
coords.setOnChange(controller); // Because the VariableSlider depends on the limits
// on the CoordinateRect, the controller must also
// listen for changes in these limits. The gatherInputs()
// doesn't "gather" in the coordinate rect.
controller.add( new Tie(xSlider,xInput) ); // This is the thing that synchronizes the
// values on the VariableSlider and the
// VariableSlider. After checking all the
// inputs in the applet, the Controller
// "synchronizes" the two objects named
// in the "Tie".
// I forgot to set an errorReporter for this applet!
// You can check what happens when the input in the applet
// contains an error. (The error message is printed to
// standard output. In Netscape, for example, this means
// that it goes to the Java Console, where it will do the
// user no good at all.)
} // end init()
} // end class SimpleGraph
jcm1-source.zip( 532 k)
