ChartDirector 6.1 (Java Edition)

General Curve Fitting

This example demonstrates the LOWESS general purpose curve fitting that is built into ChartDirector.

In regression curve fitting, a function type have to be chosen first, and the data are used to compute the best parameters of that function. For example, in polynomial regression, the function type is a polynomial of a given degree, and the data are used to determine the optimal polynomial coefficients.

However, in many applications, the function type is not known or not expressible in algebraic form. To handle these cases, ChartDirector supports a general curve fitting algorithm known as LOWESS. For details, please refer to ArrayMath.lowess and ArrayMath.lowess2.

The LOWESS algorithm only adjusts the points to smoothen them. They still need to be joined together. In this example, the adjusted points are joined with a spline layer using XYChart.addSplineLayer.

Source Code Listing

[JSP Version] jspdemo/curvefitting.jsp
 ```<%@page import="ChartDirector.*" %> <% // Use random table to generate a random series. The random table is set to 1 col x 51 rows, with 9 // as the seed RanTable rantable = new RanTable(9, 1, 51); // Set the 1st column to start from 100, with changes between rows from -5 to +5 rantable.setCol(0, 100, -5, 5); // Get the 1st column of the random table as the data set double[] data = rantable.getCol(0); // Create a XYChart object of size 600 x 300 pixels XYChart c = new XYChart(600, 300); // Set the plotarea at (50, 35) and of size 500 x 240 pixels. Enable both the horizontal and // vertical grids by setting their colors to grey (0xc0c0c0) c.setPlotArea(50, 35, 500, 240).setGridColor(0xc0c0c0, 0xc0c0c0); // Add a title to the chart using 18 point Times Bold Itatic font. c.addTitle("LOWESS Generic Curve Fitting Algorithm", "Times New Roman Bold Italic", 18); // Set the y axis line width to 3 pixels c.yAxis().setWidth(3); // Add a title to the x axis using 12pt Arial Bold Italic font c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12); // Set the x axis line width to 3 pixels c.xAxis().setWidth(3); // Set the x axis scale from 0 - 50, with major tick every 5 units and minor tick every 1 unit c.xAxis().setLinearScale(0, 50, 5, 1); // Add a blue layer to the chart LineLayer layer = c.addLineLayer2(); // Add a red (0x80ff0000) data set to the chart with square symbols layer.addDataSet(data, 0x80ff0000).setDataSymbol(Chart.SquareSymbol); // Set the line width to 2 pixels layer.setLineWidth(2); // Use lowess for curve fitting, and plot the fitted data using a spline layer with line width set // to 3 pixels c.addSplineLayer(new ArrayMath(data).lowess().result(), 0x0000ff).setLineWidth(3); // Set zero affinity to 0 to make sure the line is displayed in the most detail scale c.yAxis().setAutoScale(0, 0, 0); // Output the chart String chart1URL = c.makeSession(request, "chart1"); // Include tool tip for the chart String imageMap1 = c.getHTMLImageMap("", "", "title='({x}, {value|2})'"); %>
General Curve Fitting

View Source Code
<%=imageMap1%> ```

 ```import java.awt.*; import java.awt.event.*; import javax.swing.*; import ChartDirector.*; public class curvefitting implements DemoModule { //Name of demo program public String toString() { return "General Curve Fitting"; } //Number of charts produced in this demo public int getNoOfCharts() { return 1; } //Main code for creating charts public void createChart(ChartViewer viewer, int chartIndex) { // Use random table to generate a random series. The random table is set to 1 col x 51 rows, // with 9 as the seed RanTable rantable = new RanTable(9, 1, 51); // Set the 1st column to start from 100, with changes between rows from -5 to +5 rantable.setCol(0, 100, -5, 5); // Get the 1st column of the random table as the data set double[] data = rantable.getCol(0); // Create a XYChart object of size 600 x 300 pixels XYChart c = new XYChart(600, 300); // Set the plotarea at (50, 35) and of size 500 x 240 pixels. Enable both the horizontal and // vertical grids by setting their colors to grey (0xc0c0c0) c.setPlotArea(50, 35, 500, 240).setGridColor(0xc0c0c0, 0xc0c0c0); // Add a title to the chart using 18 point Times Bold Itatic font. c.addTitle("LOWESS Generic Curve Fitting Algorithm", "Times New Roman Bold Italic", 18); // Set the y axis line width to 3 pixels c.yAxis().setWidth(3); // Add a title to the x axis using 12pt Arial Bold Italic font c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12); // Set the x axis line width to 3 pixels c.xAxis().setWidth(3); // Set the x axis scale from 0 - 50, with major tick every 5 units and minor tick every 1 // unit c.xAxis().setLinearScale(0, 50, 5, 1); // Add a blue layer to the chart LineLayer layer = c.addLineLayer2(); // Add a red (0x80ff0000) data set to the chart with square symbols layer.addDataSet(data, 0x80ff0000).setDataSymbol(Chart.SquareSymbol); // Set the line width to 2 pixels layer.setLineWidth(2); // Use lowess for curve fitting, and plot the fitted data using a spline layer with line // width set to 3 pixels c.addSplineLayer(new ArrayMath(data).lowess().result(), 0x0000ff).setLineWidth(3); // Set zero affinity to 0 to make sure the line is displayed in the most detail scale c.yAxis().setAutoScale(0, 0, 0); // Output the chart viewer.setChart(c); //include tool tip for the chart viewer.setImageMap(c.getHTMLImageMap("clickable", "", "title='({x}, {value|2})'")); } //Allow this module to run as standalone program for easy testing public static void main(String[] args) { //Instantiate an instance of this demo module DemoModule demo = new curvefitting(); //Create and set up the main window JFrame frame = new JFrame(demo.toString()); frame.addWindowListener(new WindowAdapter() { public void windowClosing(WindowEvent e) {System.exit(0);} }); frame.getContentPane().setBackground(Color.white); // Create the chart and put them in the content pane ChartViewer viewer = new ChartViewer(); demo.createChart(viewer, 0); frame.getContentPane().add(viewer); // Display the window frame.pack(); frame.setVisible(true); } }```