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an internal library type called BigNat along with a sign field that is 1 or -1. When implementing the BigInt type, it turns out to be convenient to have two different representations of the number zero, one with sign 1 and one with sign -1. Of course, these should be equal as far as generic equality and comparison are concerned. Listing 8-1 shows how to customize generic comparison for the BigInt type so that it respects this desired behavior. The type definition of BigInt includes overrides of Object.Equals and an implementation of the interface System. IComparable. Listing 8-1. Customizing Generic Comparison for a New Type Definition open Microsoft.FSharp.Math.Primitives type BigInt = { sign : int; v : BigNat } override x.Equals(yobj:obj) = let y = unbox<BigInt>(yobj) (x.sign = y.sign) && (x.v = y.v) || BigNat.isZero(x.v) && BigNat.isZero(y.v) interface System.IComparable with override x.CompareTo(yobj:obj) = let y = unbox<BigInt>(yobj) match x.sign,y.sign with | 1, 1 -> compare x.v y.v | -1,-1 -> compare y.v x.v | _ when BigNat.IsZero(x.v) && BigNat.IsZero(y.v) -> 0 | 1, -1 -> 1 | -1, 1 -> -1 | _ -> invalid_arg "BigInt signs should be +/- 1" The System.IComparable interface is defined in the .NET libraries: namespace System type IComparable = abstract CompareTo : obj -> int An unbox is necessary when implementing both IComparable and Object.Equals; this operation is relatively cheap. Recursive calls to compare subterms should use the following function:

(gdb) print authors->name $1 = 0x877ac9f "Brian (Krow) Aker" (gdb) quit To see the server in action, I need to launch a client to issue commands while I am running the debugger. I launch the MySQL command-line client using the following command: mysql -u root -p -S /var/lib/mysql/mysql.sock Listing 5-13 shows the initialization of the client specifying the desired socket on the command line. I then launch the SHOW AUTHORS command. Listing 5-13. Starting MySQL Client to Attach to Server Chuck@linux:~> mysql -u root -p -S /var/lib/mysql/mysql.sock Enter password: Welcome to the MySQL monitor. Commands end with ; or \g. Your MySQL connection id is 1 to server version: 5.1.9-beta-debug Type 'help;' or '\h' for help. Type '\c' to clear the buffer. mysql> show authors; The first thing I notice when I enter the command is that the client stops. The reason is that the gdb debugger has encountered the breakpoint and has halted execution. When I switch back to the debugger, I can issue commands to step through the execution using the next command. I can also display the values of variables using the print command. (Listing 5-12 shows these commands in action.) Once I ve finished my debugging session, I can shut down the server and exit the debugger. The gdb debugger is a powerful tool, but it lacks the sophistication of debuggers found in most integrated development environments (IDEs). The ddd debugger makes up for this limitation by providing a robust graphical environment.

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Let s look at the second case in more detail. You can explicitly declare the name of the namespace/module for a file by using a leading module declaration. For example, Listing 7-8 defines the module Acme.Widgets.WidgetWheels, regardless of the name of the file containing the constructs. Listing 7-8. An Implementation Module with an Explicit Initial module Declaration module Acme.Widgets.WidgetWheels let wheelCornerCount = Map.of_list [(Wheel.Square, 4); (Wheel.Triangle, 3); (Wheel.Round, 0);

Listing 8-1 defined the implementations of the overrides and interfaces immediately at the point of the type definition. However, it is also common to define the implementations of these as an extension to the type later in the same file. This lets you define a complete set of operations for the type starting with appropriate primitives and building up the set of operations until all are correctly defined. Listing 8-2 shows how to do this for the case of BigInt.

Here the first line gives the name for the module defined by the file. The namespace is Acme.Widgets, the module name is WidgetWheels, and the full path to the value is Acme.Widgets.WidgetWheels.wheelCornerCount.

The GNU ddd debugger is an excellent example of an integrated debugger. Though not exclusively built around an IDE, the ddd debugger provides a similar experience. You can launch the program you wish to debug and view the source code. Using the integrated tools, you can set breakpoints, stop and start the program being debugged, set watches on variables, view the stack trace, and even edit variable values. Several windows are associated with the debugger. The data window displays all of the data items you have set watches on. The source window (the main display area) displays the current source code for the program being debugged. The debugger console displays the host debugger (gdb) output. This window is handy for developers who use gdb because it permits you to enter your own gdb commands. Thus, you can use either the menu system to control the program or the debugger console to issue commands to the debugger directly.

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