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Having gone through all that, let s take a look at the code that will implement these behaviors. The DeleteChild() and UnDeleteChild() methods deal with marking the child objects as deleted and moving them between the active items in the collection and the DeletedList object: private void DeleteChild(C child) { // mark the object as deleted child.DeleteChild(); // and add it to the deleted collection for storage DeletedList.Add(child); } private void UnDeleteChild(C child) { // we are inserting an _existing_ object so // we need to preserve the object's editleveladded value // because it will be changed by the normal add process int saveLevel = child.EditLevelAdded; Add(child); child.EditLevelAdded = saveLevel; // since the object is no longer deleted, remove it from // the deleted collection DeletedList.Remove(child); } On the surface, this doesn t seem too complicated but look at the code that deals with the child s EditLevelAdded property in the UnDeleteChild() method. Recall the InsertItem() method implemented earlier. That method assumes that any child being added to the collection is a new object, and therefore sets its edit level value to collection s current value. However, the InsertItem() method will be run when this preexisting object is reinserted into the collection, altering its edit level. That would leave the child object with an incorrect edit level value. The problem is that in this case, the child object isn t a new object; it is a preexisting object that is just being restored to the collection. To solve this, the object s edit level value is stored in a temporary field, the child object is re-added to the collection, and then the child object s edit level value is reset to the original value, effectively leaving it unchanged.

Fractals are one of the diamonds of mathematics, and they show the beauty of mathematical structures visually, which allows nonexperts to see something that is often hidden by formulas that few really appreciate. The Mandelbrot set is one of the most famous fractals. In this section, we will show how to develop an application to browse this set. The result is shown in Figure 11-7. In this application, we adopt the programming style of delegation, subscribing to events rather than using inheritance to override the behavior of a component. This allows you to develop the application interactively using fsi.exe. This is a good example of how effectively you can use F# to develop an application interactively while retaining the performance of a compiled language, which is extremely important in such CPU-intensive tasks as computing the points of the Mandelbrot set.

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Everything has so far laid the groundwork for the n-level undo functionality. All the pieces now exist to make it possible to implement the CopyState(), UndoChanges(), and AcceptChanges() methods, and then the BeginEdit(), CancelEdit() and ApplyEdit() methods. The CopyState() method needs to take a snapshot of the collection s current state. It is invoked when the BeginEdit() method is called on the root object (either the collection itself, or the collection s parent object). At that time, the root object takes a snapshot of its own state and calls CopyState() on any child objects or collections so they can take snapshots of their states as well. void Core.IUndoableObject.CopyState() { CopyState(); } private void CopyState() { // we are going a level deeper in editing _editLevel += 1;

10. Append para to the element "testdiv" in the document. That plan translates into this JavaScript code: window.onload = function() { var para = document.createElement("p"); var txt1 = document.createTextNode("This is "); var emphasis = document.createElement("em"); var txt2 = document.createTextNode("my"); var txt3 = document.createTextNode(" content."); para.appendChild(txt1); emphasis.appendChild(txt2); para.appendChild(emphasis); para.appendChild(txt3); var testdiv = document.getElementById("testdiv"); testdiv.appendChild(para); } If you write that code into the example.js file and then refresh test.html, you will see the same result as before.

First we ll discuss the math required to generate the Mandelbrot set. The set is defined over the set of complex numbers, which is an extension of the real numbers, allowing computation of square roots over negative numbers. A complex number has the following form, where a and b are real numbers and i is the imaginary unit, by definition, i2 = 1: c = a + bi Using standard algebraic calculations, it is possible to define the sum and product of these numbers: c1+c2 = (a1+a2) + i(b1+b2) c1 c2 = (a1 a2 b1 b2) + i(a1 b2 + a2 b1) Since you have two components in the definition of the number, you can graphically represent complex numbers using a plane.

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