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A ListChanged event is raised when the user adds or removes an item from the original collection. This event must be handled and sometimes reraised by the view. This is illustrated in Figure 5-2. Figure 5-2 shows the simple case, in which both the original collection and the view are bound to separate controls on the UI, and an update to the original collection is made. However, when the user adds or removes an item through the view, the view raises a ListChanged event as well as updating the original collection. Of course, updating the original collection triggers its ListChanged event. If you re not careful, this could result in duplicate events being raised, as shown in Figure 5-3. In this case, the UI control bound to the sorted view gets the ListChanged event twice, which is wasteful. But when the change is applied to the original collection, its event could flow back to the view and then to the UI.

In practice, circuits are defined largely with respect to vectors of wires, not just individual wires. You can model these using arrays of propositions, and since it s now clear we re modeling bits via propositions, we make an appropriate type abbreviation for them as well: type bit = Prop type bitvec = bit[] let Lo : bit = False let Hi : bit = True let vec n nm : bitvec = Array.init n (fun i -> var (sprintf "%s%d" nm i)) let bitEq (b1:bit) (b2:bit) = (b1 <=> b2) let AndL l = Seq.fold1 (fun x y-> And(x,y)) l let vecEq (v1:bitvec) (v2:bitvec) = AndL (Array.map2 bitEq v1 v2) These functions have types as follows: type bit = Prop type bitvec = bit [] val Lo : bit val Hi : bit val vec : int -> string -> bitvec val bitEq : bit -> bit -> Prop val AndL : #seq<Prop> -> Prop val vecEq : bitvec -> bitvec -> Prop You can now proceed to define larger circuits. For example: let fourBitAdder (x:bitvec) (y:bitvec) (sum:bitvec) (carry:bitvec) = halfAdder x.[0] y.[0] sum.[0] carry.[0] &&& fullAdder x.[1] y.[1] carry.[0] sum.[1] carry.[1] &&& fullAdder x.[2] y.[2] carry.[1] sum.[2] carry.[2] &&& fullAdder x.[3] y.[3] carry.[2] sum.[3] carry.[3]

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The MethodCaller class throws a custom Csla.Server.CallMethodException in the case that an exception occurs while calling a method on the business object. The purpose behind throwing this exception is to supply the name of the business method that generated the exception, and to provide the original exception details as an InnerException. More importantly, it preserves the stack trace from the original exception. The original stack trace shows the details about where the exception occurred, and is very useful for debugging. Without a bit of extra work, this information is lost as the method call comes back through reflection. Remember that MethodCaller.CallMethod() uses reflection to invoke the business method. When an exception occurs in the business method, a reflection exception is thrown with the original business exception nested inside. CallMethod() strips off the reflection exception and provides the original business exception as a parameter during the creation of the CallMethodException object. In the constructor of CallMethodException, the stack trace details from that original exception are stored for later use: public CallMethodException(string message, Exception ex) : base(message, ex) { _innerStackTrace = ex.StackTrace; } Then in the StackTrace property of CallMethodException, the stack trace for the CallMethod Exception itself is combined with the stack trace from the original exception:

content, structure and style of documents. </p> </blockquote> <p> It is an <abbr title="Application Programming Interface">API</abbr> that can be used to navigate <abbr title="HyperText Markup Language"> HTML</abbr> and <abbr title="eXtensible Markup Language">XML </abbr> documents. </p> </body> </html> Save this page as explanation.html. If you load the page in a web browser, you will see the how the browser displays the marked-up content. (Some browsers will render the abbreviations with dotted underlines; others will show them italicized.)

Or, more generally, you can chain an arbitrary series of adders to form an N-bit adder. First you define an abbreviation for the AndL function to represent the composition of multiple circuit blocks: let Blocks l = AndL l And here is the definition of an N-bit adder with a halfAdder at one end: let nBitCarryRippleAdder (n:int) (x:bitvec) (y:bitvec) (sum:bitvec) (carry:bitvec) = Blocks [ for i in 0 .. n-1 -> if i = 0 then halfAdder x.[i] y.[i] sum.[i] carry.[i] else fullAdder x.[i] y.[i] carry.[i-1] sum.[i] carry.[i] ] Using a similar approach, you get the following satisfying specification of a symmetric N-bit adder that accepts a carry as input and also gives a carry as output: let rippleAdder (n:int) (x:bitvec) (y:bitvec) (sum:bitvec) (carry:bitvec) Blocks [ for i in 0 .. n-1 -> fullAdder x.[i] y.[i] carry.[i] sum.[i] carry.[i+1] ] =

public override string StackTrace { get { return string.Format("{0}{1}{2}", _innerStackTrace, Environment.NewLine, base.StackTrace); } } The result is that the complete stack trace is available showing the flow from the original exception all the way back to the UI in most cases.

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