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Iterating with Aggregate Operators
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It is common to use data to drive control, and indeed in functional programming the distinction between data and control is often blurred: function values can be used as data, and data can influence control flow. One example is using a function such as List.iter to iterate over a list. Let s take a simple example: let sites = [ "http://www.live.com"; "http://www.google.com"; "http://search.yahoo.com" ] sites |> List.iter (fun site -> printfn "%s, length = %d" site (http site).Length) List.iter simply calls the given function (here an anonymous function) for each element in the input list. Here is its type:
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val iter: ('a -> unit) -> 'a list -> unit
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Many additional aggregate iteration techniques are defined in the F# and .NET libraries, particularly by using values of type seq<type>, discussed in Getting Started with Sequences later in this chapter.
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Abstracting Control with Functions
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As a second example of how you can abstract control using functions, let s consider the common pattern of timing the execution of an operation (measured in wall-clock time). First let s explore how to use System.DateTime.Now to get the wall-clock time:
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> open System;; > let start = DateTime.Now;; val start : DateTime > http "http://www.newscientist.com";; val it : string = "<html>...</html>" > let finish = DateTime.Now;; val finish : DateTime > let elapsed = finish - start;; val elapsed : TimeSpan > elapsed;; val it : TimeSpan = 00:00:01.9799671 Note the type TimeSpan has been inferred from the use of the overloaded operator in the expression finish - start. We discuss overloaded operators in depth in 6. You can now wrap up this technique as a function time that acts as a new control operator: open System let time f = let start = DateTime.Now let res = f() let finish = DateTime.Now (res, finish - start) This function runs the input function f but takes the time on either side of the call. It then returns both the result of the function and the elapsed time. The inferred type is as follows:
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val time : (unit -> 'a) -> 'a * TimeSpan
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Here 'a is a type variable that stands for any type, and thus the function can be used to time functions that return any kind of result. Note that F# has automatically inferred a generic type for the function, a technique called automatic generalization that lies at the heart of F# programming. We discuss automatic generalization in detail in 5. Here is an example of using the time function, which again reuses the http function defined in 2: > time (fun () -> http "http://www.newscientist.com");; val it : string * TimeSpan = ... (The HTML text and time will be shown here)
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Using .NET Methods As First-Class Functions
You can use existing .NET methods as first-class functions. For example:
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> open System.IO;; > [@"C:\Program Files"; @"C:\Windows"] |> List.map Directory.GetDirectories;; val it : string [] list = [ [|"C:\\Program Files\\Adobe"; "C:\\Program Files\\Apoint"; "C:\\Program Files\\CA"; "C:\\Program Files\\CE Remote Tools"; ...]; ... ] Sometimes you will need to add extra type information to indicate which overload of the method is required. We discuss method overloading in more detail in 6. For example, the following causes an error: > open System;; > let f = Console.WriteLine;; C:\misc\test.ml(11,8): error: FS0041: The method WriteLine is overloaded. Possible matches are shown below. Resolve the overloading by adding further type annotations to the arguments. Possible overload: 'Console.WriteLine(bool value) : unit'. Possible overload: 'Console.WriteLine(char value) : unit'. ... However, the following succeeds: > let f = (Console.WriteLine : string -> unit);; val f : string -> unit
Getting Started with Pattern Matching
One important tool in F# programming is pattern matching, a general construct that combines decomposition and control. In the previous sections, you got a taste of how you can use pattern matching with tuple, list, and option values. However, you can also use pattern matching in many other situations. You ll see many other examples of pattern matching in this book, but let s start with some simple pattern matching over strings and integers. As you ve already seen, pattern matches on explicit values are introduced using the match ... with ... construct: let urlFilter url agent = match (url,agent) with | "http://www.control.org", 99 -> true | "http://www.kaos.org" , _ -> false | _, 86 -> true | _ -> false
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