I have a StyledText widget (SWT) inside a ScrolledComposite that should display the content of a log file. Unfortunately the log file has thousands of lines in it so that I came to the point where the widget cuts off the text after ~ 2200 lines.  
I found this post that refers to this report that states that there is a height limitation for widgets in windows and my theory is that I have reached that limit.
My question is how I can deal with this. What is the workaround for displaying text with that many lines in it?
EDIT:
I found out that this does only happen, if I use the StyledText inside a ScrolledComposite. If I use the plain StyledText there is no problem.  
Here's the code to reproduce:
import org.eclipse.swt.SWT;
import org.eclipse.swt.custom.ScrolledComposite;
import org.eclipse.swt.custom.StyledText;
import org.eclipse.swt.layout.FillLayout;
import org.eclipse.swt.widgets.Display;
import org.eclipse.swt.widgets.Shell;
public class StyledTextLimit {
    public static void main(String[] args) {
        Display display = new Display();
        Shell shell = new Shell(display);
        shell.setLayout(new FillLayout());
        ScrolledComposite scrollComp = new ScrolledComposite(shell,
                SWT.H_SCROLL | SWT.V_SCROLL);
        StyledText text = new StyledText(scrollComp, SWT.NONE);
        text.setSize(100, 500);
        scrollComp.setContent(text);
        scrollComp.setExpandHorizontal(true);
        scrollComp.setExpandVertical(true);
        StringBuilder builder = new StringBuilder();
        for (int i = 0; i < 5000; i++) {
            builder.append(i);
            builder.append(" ");
            for (int j = 'a'; j < 'a' + 200; j++) {
                builder.append((char) j);
            }
            builder.append("\n");
        }
        text.setText(builder.toString().trim());
        scrollComp.setMinSize(text.computeSize(SWT.DEFAULT, SWT.DEFAULT));
        // shell.pack();
        shell.open();
        while (!shell.isDisposed()) {
            if (!display.readAndDispatch())
                display.sleep();
        }
        display.dispose();
    }
}