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We cover inheritance, abstract bindings, and interface implementations in later sections. The Vector2D in Listing 6-2 uses a construction sequence. Construction sequences can enforce object invariants. For example, the following defines a vector type that checks that its length is close to 1.0 and refuses to construct an instance of the value if not: type UnitVector2D(dx,dy) = let tolerance = 0.000001 let length = sqrt(dx * dx + dy * dy) do if abs(length - 1.0) >= tolerance then failwith "not a unit vector"; member v.DX = dx member v.DY = dy new() = UnitVector2D (1.0,0.0) This example shows something else: sometimes it is convenient for a class to have multiple constructors. You do this by adding extra explicit constructors using a member named new. These must ultimately construct an instance of the object via the primary constructor. The inferred signature for this type contains two constructors: type UnitVector2D = new : unit -> UnitVector2D new : dx:float * dy:float -> UnitVector2D member DX : float member DY : float

s Note If you run an Excel macro that tries to perform an action that s protected on the worksheet, the

This represents a form of method overloading, covered in more detail in the Adding Method Overloading section later in this chapter.

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Not all preferences respond properly to the Always setting. In particular, very few third-party applications support preferences managed Always. For these, the best you can do is set the management frequency to Often. Users will still be able to change the preference, but when they log out and back in, your managed setting will be restored. This isn t the best user experience, as users might find it perplexing or frustrating when their preference settings don t stick. But we must work with what we have. If this is an issue for you, consider filing a bug or feature request with your software vendors, encouraging them to support preferences managed Always.

As we mentioned, one of the most useful aspects of object-oriented programming is the notational convenience of the dot-notation. This extends to other kinds of notation, in particular the expr.[expr] indexer notation, named arguments, optional arguments, operator overloading, and method overloading. In the following sections, we cover how to define and use these notational conveniences.

Like methods, properties can also take arguments; these are called indexer properties. The most commonly defined indexer property is called Item, and the Item property on a value v is accessed via the special notation v.[i]. As the notation suggests, these are normally used to implement the lookup operation on collection types. In the following example, we implement a sparse vector in terms of an underlying sorted dictionary: open System.Collections.Generic type SparseVector(items: seq<int * float>)= let elems = new SortedDictionary<_,_>() do items |> Seq.iter (fun (k,v) -> elems.Add(k,v)) /// This defines an indexer property member t.Item with get(idx) = if elems.ContainsKey(idx) then elems.[idx] else 0.0 You can define and use the indexer property as follows: > let v = SparseVector [(3,547.0)];; val v : SparseVector > v.[4];; val it : float = 0.0 > v.[3];; val it : float = 547.0 You can also use indexer properties as mutable setter properties with the syntax expr.[expr] <- expr. We cover this in the Defining Object Types with Mutable State section. Indexer properties can also take multiple arguments; for example, the indexer property for Microsoft.FSharp.Math.Matrix<'a> takes two arguments. We describe this type in 10.

9. Click OK. 10. Retype the password if asked, and click OK. To protect an individual chart sheet (a special type of worksheet that contains only a chart), do the following: 1. In Excel 2007, click Review (Changes) Protect Sheet. In Excel 2003, click Tools Protection Protect Sheet. 2. In the Protect Worksheet area, select one or both of these check boxes: Contents, to prevent users from making changes to chart items such as data series, axes, and legends Objects, to prevent users from making changes to locked graphic objects

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