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There is one final technique used to make a value generic. This one is used rarely but is very useful when it is required. It is normally used when you are defining values that are generic but that are neither functions nor simple data expressions. For example, let s define a sequence of 100 empty lists: let emptyLists = Seq.init_finite 100 (fun _ -> []) The expression on the right is not a function or simple data expression (it is a function application), so the value restriction applies. One solution is to add an extra dummy argument, as in the previous section. However, if you are designing a library, then this can seem very artificial. Instead, you can use the following declaration form to make emptyLists generic: let emptyLists<'a> : seq<'a list> = Seq.init_finite 100 (fun _ -> []) You can now use emptyLists as a type function to generate values of different types. For example: > Seq.length emptyLists;; val it : int = 100 > emptyLists<int>;; val it : seq<int list> = seq [[]; []; []; []; ...] > emptyLists<string>;; val it : seq<string list> = seq [[]; []; []; []; ...] Some values and functions in the F# library are defined in this way, including typeof<'a>, Seq.empty, and Set.empty. We cover typeof in 9.

You would probably agree that benchmarking can be a very powerful tool in your arsenal. But what exactly do benchmarks have to do with database servers The answer is a lot. Benchmarking your database server can be accomplished on many levels. The most notable is benchmarking changes to your database schema. You would probably not create tests for a single table (although you can), but you are more likely to be interested in how the changes for a database schema affect performance. This is especially true for new applications and databases. You can create several schemas and populate them with data, and write benchmark tests designed to mimic the proposed system. Hey, here s that test-driven thing again! By creating the alternative schemas and benchmarking them, and perhaps even making several iterations of changes, you can quickly determine which schemas are best for the application you are designing. You can also benchmark database systems for specialized uses. For example, you may want to check the performance of your database system under various loads or in various environments. What better way to say for sure whether that new RAID device will improve performance than to run before-and-after benchmarks and know just how much of a difference the change to the environment makes Yes, it is all about the cost. Benchmarking will give you the tool you need to help manage your database system cost.

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Generic constructs are always represented through the use of type variables, which in F# syntax are written 'T, 'U, 'a, 'Key, and so on. For example, the definition of the Set type in the F# library begins like this: type Set<'T> = ... Values can also be generic. A typical generic value is List.map, whose type is as follows: val map : ('T -> 'U) -> 'T list -> 'U list Each time you name a generic type or value, the F# type system must infer instantiations for the type variables involved. For example, in 3, you used List.map fetch over an input list, where fetch had the following type: val fetch : string -> string * string In this case, the type variable 'T in the signature of List.map is instantiated to string, and the type variable 'U is instantiated to string * string, giving a return type of (string * string) list. Generic values and functions such as List.map are common in F# programming; they re so common that you usually don t even write the declarations of the type variables in the types of these values.

There is one further important way in which code does not automatically become generic in F#: when you use overloaded operators such as +, -, *, and /, or overloaded conversion functions such as float and int64. For example, the following is not a generic function: let twice x = (x + x) In the absence of further information, the type of this function is as follows:

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