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CHAPTER 6 WORKING WITH OBJECTS AND MODULES
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member x.DY = dy static member (+) (v1: Vector2DWithOperators ,v2: Vector2DWithOperators) = Vector2DWithOperators(v1.DX + v2.DX, v1.DY + v2.DY) static member (-) (v1: Vector2DWithOperators ,v2: Vector2DWithOperators) = Vector2DWithOperators (v1.DX - v2.DX, v1.DY - v2.DY) > let v1 = new Vector2DWithOperators (3.0,4.0);; val v1 : Vector2DWithOperators > v1 + v1;; val it : Vector2DWithOperators = { DX=6.0; DY=8.0 } > v1 - v1;; val it : Vector2DWithOperators = { DX=0.0; DY=0.0 } If you add overloaded operators to your type, you may also have to customize how generic equality, hashing, and comparison are performed. In particular, the behavior of generic operators such as hash, <, >, <=, >=, compare, min, and max isn t specified by defining new static members with these names, but rather by the techniques described in 8.
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How Does Operator Overloading Work
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Operator overloading in F# works by having fixed functions that map uses of operators through to particular static members on the static types involved in the operation. These functions are usually defined in the F# library. For example, the F# library includes the following definition for the (+) operator:
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let inline (+) x y = ((^a or ^b): (static member (+) : ^a * ^b -> ^c) (x,y))
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This defines the infix function (+) and is implemented using a special expression that says implement x + y by calling a static member (+) on the type of the left or right operand. The function is marked inline to ensure that F# can always check for the existence of this member and call it efficiently. When you name a static member (+), then that is really shorthand for the name op_Addition, which is the .NET standard encoded name for addition operators. You can define your own operators if you want, but they aren t automatically overloaded in the same way as F# library definitions like the one shown previously. For example, the following defines a new infix operator that appends a single element to the end of a list:
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let (++) x y = List.append x [y]
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This operator isn t overloaded; it s a single fixed function. Defining non-overloaded operators can help make some implementation code more succinct, and you use this technique in the symbolic programming examples in 12. In principle, you can define new operators that are truly overloaded in the same way as the definition of (+) in the F# library, mapping the operator across to particular static members. However, code is generally much clearer if you stick to the standard overloaded operators. 131
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CHAPTER 6 WORKING WITH OBJECTS AND MODULES
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The F# OO constructs are designed largely for use in APIs for software components. Two useful mechanisms in APIs permit callers to name arguments and let API designers make certain arguments optional. Named arguments are simple. For example, in Listing 6-2, the implementations of some methods specify arguments by name, as in the expression Vector2D(dx=dx+x, dy=dy). You can use named arguments with all dot-notation method calls. Code written using named arguments is often much more readable and maintainable than code relying on argument position. The rest of this book frequently uses named arguments. You declare a member argument optional by prefixing the argument name with . Within a function implementation, an optional argument always has an option<_> type; for example, an optional argument of type int appears as a value of type option<int> within the function body. The value is None if no argument is supplied by the caller and Some(arg) if the argument arg is given by the caller. For example: open System.Drawing type LabelInfo( text:string, font:Font) = let text = defaultArg text "" let font = match font with | None -> new Font(FontFamily.GenericSansSerif,12.0f) | Some v -> v member x.Text = text member x.Font = font The inferred signature for this type shows how the optional arguments have become named arguments accepting option values: type LabelInfo = new : text:string option * font:System.Drawing.Font option -> LabelInfo member Font : System.Drawing.Font member Text : string You can now create LabelInfo values using several different techniques: > LabelInfo (text="Hello World");; val it : LabelInfo = {Font = [Font: Name=Microsoft Sans Serif, Size=12]; Text = "Hello World"} > LabelInfo("Goodbye Lenin");; val it : LabelInfo = {Font = [Font: Name=Microsoft Sans Serif, Size=12];
Text = "Goodbye Lenin"}
> LabelInfo(font=new Font(FontFamily.GenericMonospace,36.0f), text="Imagine");; val it : LabelInfo = {Font = [Font: Name=Courier New, Size=36]; Text = "Imagine"}
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