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To make a plotting method handle arbitrarily sized units, it is necessary to scale the data appropriately. It is also necessary to adjust the scale based on the size of the window in which it is displayed. Furthermore, the data must be scaled dynamically each time the window is repainted because the user might have resized the window. The process of scaling the data involves finding the ratio between the range of the data and the physical dimensions of the window. Once this ratio is known, data can be plotted by multiplying each element by the ratio, the result of which yields a coordinate within the window. For example, the formula for scaling the Y coordinate is Y' = Y * (width-of-window / (max min) ) where Y is the scaled value that describes a location within the window. Although the preceding formula is quite simple, there are complications that occur that relate to the GUI-based environment. For example, the width of the window must be obtained each time the graph is redisplayed because the size of the window might change. Furthermore, the width of the window s border must be subtracted from the overall width of the window. Also, the height and width of the digits used to display the range need to be obtained and accounted for. Thus, the process of scaling data for output requires several steps, but none are particularly complicated.
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8: Statistics, Graphing, and Java
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The graphing methods are contained within the Graphs class. The Graphs class extends Frame. Thus, graphs are contained within top-level frame windows. This makes the window resizable and somewhat independent from the application that uses one. For example, you can display a graph and then minimize its window without minimizing the rest of the application. The Graphs class is shown here. Each portion of Graphs is examined in detail by the following sections.
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import import import import java.awt.*; java.awt.event.*; java.applet.*; java.util.*;
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// A general-purpose graph class. public class Graphs extends Frame { // Constants for type of graph. public final static int BAR = 0; public final static int SCATTER = 1; public final static int REGPLOT = 2; private int graphStyle; /* These specify the amount of space to leave between data and borders. */ private final int leftGap = 2; private final int topGap = 2; private final int bottomGap = 2; private int rightGap; // this value is computed // These hold the min and max values of the data. private double min, max; // Refers to the data. private double[] data; // Colors used by the graph. Color gridColor = new Color(0, 150, 150); Color dataColor = new Color(0, 0, 0); // Various values used to scale and display data. private int hGap; // space between data points private int spread; // distance between min and max data private double scale; // scaling factor private int baseline; // vertical coordinate of baseline
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// Location of data area within the window. private int top, bottom, left, right; public Graphs(double[] vals, int style) { // Handle window-closing events. addWindowListener(new WindowAdapter() { public void windowClosing(WindowEvent we) { setVisible(false); dispose(); } }); // Handle resize events. addComponentListener(new ComponentAdapter() { public void componentResized(ComponentEvent ce) { repaint(); } }); graphStyle = style; data = vals; // Sort the data to find min and max values. double t[] = new double[vals.length]; System.arraycopy(vals, 0, t, 0, vals.length); Arrays.sort(t); min = t[0]; max = t[t.length-1]; setSize(new Dimension(200, 120)); switch(graphStyle) { case BAR: setTitle("Bar Graph"); setLocation(25, 250); break; case SCATTER: setTitle("Scatter Graph"); setLocation(250, 250); break; case REGPLOT: setTitle("Regression Plot"); setLocation(475, 250); break;
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8: Statistics, Graphing, and Java
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} setVisible(true); } public void paint(Graphics g) { Dimension winSize = getSize(); // size of window Insets ins = getInsets(); // size of borders // Get the size of the currently selected font. FontMetrics fm = g.getFontMetrics(); // Compute right gap. rightGap = fm.stringWidth("" + data.length); // Compute the total insets for the data region. left = ins.left + leftGap + fm.charWidth('0'); top = ins.top + topGap + fm.getAscent(); bottom = ins.bottom + bottomGap + fm.getAscent(); right = ins.right + rightGap; /* If minimum value positive, then use 0 as the starting point for the graph. If maximum value is negative, use 0. */ if(min > 0) min = 0; if(max < 0) max = 0; /* Compute the distance between the minimum and maximum values. */ spread = (int) (max - min); // Compute the scaling factor. scale = (double) (winSize.height - bottom - top) / spread; // Find where the baseline goes. baseline = (int) (winSize.height - bottom + min * scale); // Compute the spacing between data. hGap = (winSize.width - left - right) / (data.length-1); // Set the grid color. g.setColor(gridColor); // Draw the baseline.
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