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HashIdentity.Structural when creating the collection instance. In some cases, this can also lead to performance improvements, because the F# compiler often generates a hashing function appropriate for the compound type. Here is an example that uses a dictionary with a compound key type to represent sparse maps: > open System.Collections.Generic;; > open Microsoft.FSharp.Collections;; > let sparseMap = new Dictionary<(int * int), float>();; val sparseMap : Dictionary <(int * int),float> = dict [] > sparseMap.[(0,2)] <- 4.0;; val it : unit = () > sparseMap.[(1021,1847)] <- 9.0;; val it : unit = () > sparseMap.Keys;; val it : Dictionary.KeyCollection<(int * int),float> = seq [(0,2); (1021; 1847)]

Doxygen is available for both UNIX and Windows platforms. To use the program on Linux, download the source code from the Doxygen web site at www.stack.nl/~dimitri/doxygen. Once you have downloaded the installation, follow the installation instructions (also on the web site). Doxygen uses configuration files to generate the look and feel of the output as well as what gets included in the input. To generate a default configuration file, issue the following command: doxygen -g -s /path_to_new_file/doxygen_config_filename The path specified should be the path you want to store the documentation in. Once you have a default configuration file, you can edit the file and change the parameters to meet your specific needs. See the Doxygen documentation for more information on the options and their parameters. You would typically specify the folders to process, the project name, and other project-related settings. Once you have set the configurations you want, you can generate documentation for MySQL by issuing this command: doxygen </path_to_new_file/Doxygen_config_filename>

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The .NET libraries provide an implementation of generic binary serialization that is useful as a quick and easy way of saving computed values to disk and sending values over the network. We use this as an example to show how building-block generic operations can be defined using functionality in the .NET libraries combined with box and unbox. We first define functions with the following signatures: val writeValue val readValue : #System.IO.Stream -> 'a -> obj : #System.IO.Stream -> 'a

Some of the other important mutable data structures in the F# and .NET libraries are as follows: System.Collections.Generic.SortedList<'Key,'Value>: A collection of sorted values. Searches are done by a binary search. The underlying data structure is a single array. System.Collections.Generic.SortedDictionary<'Key,'Value>: A collection of key/value pairs sorted by the key, rather than hashed. Searches are done by a binary chop. The underlying data structure is a single array. System.Collections.Generic.Stack<'T>: A variable-sized last-in/first-out (LIFO) collection. System.Collections.Generic.Queue<'T>: A variable-sized first-in/first-out (FIFO) collection. System.Text.StringBuilder: A mutable structure for building string values. Microsoft.FSharp.Collections.HashSet<'Key>: A hash table structure holding only keys and no values. From .NET 3.5, a HashSet<'T> type is available in the System.Collections.Generic namespace.

Caution Depending on your settings, Doxygen could run for a long time. Avoid using advanced graphing

The function writeValue takes an arbitrary value and writes a binary representation of its underlying object graph to the given I/O stream. The function readValue reverses this process, in much the same way that unbox reverses the process performed by box. Here are the implementations of the functions in terms of the .NET binary serializer located in the namespace System.Runtime.Serialization.Formatters.Binary: open System.IO open System.Runtime.Serialization.Formatters.Binary let writeValue outputStream (x: 'a) = let formatter = new BinaryFormatter() formatter.Serialize(outputStream,box x) let readValue inputStream = let formatter = new BinaryFormatter() let res = formatter.Deserialize(inputStream) unbox x Note that box and unbox are used in the implementation, because the Serialize and Deserialize functions accept and return a value of type obj. Here is an example of how to use the functions to write a value of type Microsoft.FSharp.Collections.Map<string,string> to a FileStream and read it back in again:

When a routine encounters a problem, it may respond in several ways, such as by recovering internally, emitting a warning, returning a marker value or incomplete result, or throwing an exception. The following code indicates how an exception can be thrown by some of the code you ve been using:

The latest version of Doxygen can be run from Windows using a supplied GUI. The GUI allows you to use create the configuration file using a wizard that steps you through the process and creates a basic configuration file, an expert mode that allows you to set your own parameters, and the ability to load a config file. I found the output generated by using the wizard interface sufficient for casual to in-depth viewing. I recommend spending some time running Doxygen and examining the output files prior to diving into the source code. It will save you tons of lookup time. The structures alone are worth tacking up on the wall next to your monitor or pasting into your engineering logbook. A sample of the type of documentation Doxygen can generate is shown in Figure 3-3.

type Matrix<'a> .[]

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