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A key feature of F# is the automatic generalization of code. The combination of automatic generalization and type inference makes many programs simpler, more succinct, and more general. It also greatly enhances code reuse. Languages without automatic generalization force programmers to compute and explicitly write down the most general type of their functions, and often this is so tedious that programmers do not take the time to abstract common patterns of data manipulation and control. For example, type parameters are automatically introduced when writing simple functions that are independent of some of their arguments: let getFirst (a,b,c) = a The inferred type of getFirst is reported as follows:

Tip MySQL AB suggests it isn t necessary to provide a comment block for short functions that have only a few lines of code, but I recommend writing a comment block for all of the functions you create. You will appreciate this advice as you explore the source code and encounter numerous small (and some large) functions with little or no documentation.

: 'T[] -> 'T[] -> 'T[]

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val getFirst: 'a * 'b * 'c -> 'a Here getFirst has been automatically inferred to be generic. The function is generic in three type variables, where the result type is the first element of the input tuple type. Automatic generalization is applied when a let or member definition doesn t fully constrain the types of inputs or outputs. You can tell automatic generalization has been applied by the presence of type variables in an inferred type and ultimately by the fact you can reuse a construct at multiple types. Automatic generalization is particularly useful when taking functions as inputs. For example, the following takes two functions as input and applies them to each side of a tuple: let mapPair f g (x,y) = (f x, g y) The generalized, inferred type is as follows:

A sample of a function comment block is shown in Listing 3-19.

Returns a new array containing elements of the first array followed by elements of the second array Returns a new array containing a portion of elements of the input array Returns a copy of the input array Applies a function to all elements of the input array Returns a new array containing a selection of elements of the input array Returns the length of the input array Returns a new array containing the results of applying the function to each element of the input array Accumulates left to right over the input array Accumulates right to left over the input array

val mapPair : ('a -> 'b) -> ('c -> 'd) -> ('a * 'c) -> ('b * 'd)

: 'T[] -> int -> int -> 'T[] : 'T[] -> 'T[] : ('T -> unit) -> 'T[] -> unit : ('T -> bool) -> 'T[] -> 'T[] : 'T[] -> int : ('T -> 'U) -> 'T[] -> 'U[]

Listing 3-19. Example Function Comment Block /* Find tuples by key. SYNOPSIS find_by_key() string key IN Handler_class *handle IN Tuple * OUT

The F# and .NET libraries include definitions for some important generic functions. You saw a number of these in action in earlier chapters. It is important to have a working knowledge of these building blocks, because often your code will automatically become generic when you use these primitives.

F# arrays can be very large, up to the memory limitations of the machine (a 3GB limit applies on 32bit systems). For example, the following creates an array of 100 million elements (of total size approximately 400MB for a 32-bit machine): > let (r : int[]) = Array.zeroCreate 100000000;; val r : int [] = ... The following attempt to create an array more than 4GB in size causes an OutOfMemoryException on one of our machines: > let (r : int[]) = Array.zeroCreate 1000000000;; System.OutOfMemoryException: Exception of type 'System.OutOfMemoryException' was thrown.

A string containing the key to find. The class containing the table to be searched. The tuple class containing the key passed.

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