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Listing 6-2. A Vector2D Type with Length Precomputation via a Constructed Class Type type Vector2D(dx: float, dy: float) = let len = sqrt(dx * dx + dy * dy) member v.DX = dx member v.DY = dy member v.Length = len member v.Scale(k) = Vector2D(k*dx, k*dy) member v.ShiftX(x) = Vector2D(dx=dx+x, dy=dy) member v.ShiftY(y) = Vector2D(dx=dx, dy=dy+y) member v.ShiftXY(x,y) = Vector2D(dx=dx+x, dy=dy+y) static member Zero = Vector2D(dx=0.0, dy=0.0) static member OneX = Vector2D(dx=1.0, dy=0.0) static member OneY = Vector2D(dx=0.0, dy=1.0) You can now use this type as follows: > let v = Vector2D(3.0, 4.0);; val v : Vector2D > v.Length;; val it : float = 5.0 > v.Scale(2.0).Length;; val it : float = 10.0 Once again it is helpful to look at the inferred type signature for the Vector2D type definition of Listing 6-2: type Vector2D = new : dx:float * dy:float -> Vector2D member DX : float member DY : float member Length : float member Scale : k:float -> Vector2D member ShiftX : x:float -> Vector2D member ShiftY : y:float -> Vector2D member ShiftXY : x:float * y:float -> Vector2D static member Zero : Vector2D static member ConstX : dx:float -> Vector2D static member ConstY : dy:float -> Vector2D The signature of the type is almost the same as that for Listing 6-1. The primary difference is in the construction syntax. Let s take a look at what s going on here. The first line says we re defining a type Vector2D with a construction sequence, where constructions take two arguments, dx

Click Home Cells Insert Insert Cells or Insert Sheet Rows (in Excel 2007) or click Insert Rows (in Excel 2003) Click Insert Links Hyperlink (in Excel 2007) or click Insert Hyperlink (in Excel 2003) Select one or more columns and click Home Cells Delete Delete Cells or Delete Sheet Columns (in Excel 2007), or click Edit Delete (in Excel 2003), or right-click the column and then click Delete Select one or more rows and click Home Cells Delete Delete Cells or Delete Sheet Rows (in Excel 2007), or click Edit Delete (in Excel 2003), or right-click and click Delete Click Data Sort & Filter Sort, or click any of the commands on the Home Editing Sort & Filter menu (in Excel 2007); or in Excel 2003, click Data Sort or, on the Standard toolbar, click the Sort Ascending and Sort Descending buttons Use the drop-down arrows to change the filter on one or more autofiltered cells Format, change the layout, refresh, or otherwise change PivotTable reports and create new PivotTable reports Make changes to graphic objects that you did not lock before you protected a worksheet; make changes to embedded charts; and add and delete comments View hidden scenarios, make changes to scenarios to which you have prevented changes, and delete scenarios

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and dy. The variables dx and dy are in scope throughout the nonstatic members of the type definition. The second line is part of the computation performed each time an object of this type is constructed. let len = sqrt(dx * dx + dy * dy) Like the input values, the len value is in scope throughout the rest of the nonstatic members of the type. The next three lines publish both the input values and the computed length as properties: member v.DX = dx member v.DY = dy member v.Length = len The remaining lines implement the same methods and static properties as the original record type. The Scale method creates its result by calling the constructor for the type using the expression Vector2D(k*dx, k*dy). In this expression, arguments are specified by position. Constructed class types always have the following form, where elements in brackets are optional and * indicates the element may appear zero or more times: type [ [ [ [ TypeName optional-type-arguments arguments [ as ident ] = inherit type { as base} ] let-binding | let-rec bindings ] * do-statement ] * abstract-binding | member-binding | interface-implementation ] *

Always sets the managed preference to your desired value and prevents the user from changing it. In some cases the user interface is updated to indicate that the preference is no longer modifiable. For example, in Figure 9-4 the Turn Off FileVault button is grayed out because we are managing Mobility preferences, and have set the mobile account to require FileVault encryption. Since the users are not allowed to turn FileVault off for their mobile account s home directory, this option has been disabled in the user interface. Figure 9-5 shows the related managed preferences settings in Workgroup Manager with a management frequency of Always.

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