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Mutable, resizable integer-indexed arrays, usually called ResizeArray<'a> in F#. Mutable, resizable lists implemented using sorted arrays. Mutable, resizable dictionaries implemented using hash tables. Mutable, resizable dictionaries implemented using sorted arrays. Mutable, first-in, first-out queues of unbounded size. Mutable, first-in, last-out stacks of unbounded size. Mutable, resizable sets implemented using hash tables. New in .NET 3.5. The F# library also defines a Microsoft. FSharp.Collections.HashSet type usable in conjunction with earlier versions of .NET.

Expressions of the form for pat in seq are described in the section Using Sequence Expressions and in 4.

/sql/lex.h /sql/lex_symbol.h /sql/lex_hash.h /sql/sql_lex.h /sql/sql_lex.cc /sql/sql_yacc.yy /sql/sql_parse.cc

Two additional libraries of .NET collections deserve particular attention. The first is PowerCollections, currently provided by Wintellect. This provides additional generic types such as Bag<'a>, MultiDictionary<'key,'value>, OrderedDictionary<'key,'value>, OrderedMultiDictionary<'a>, and OrderedSet<'a>. The second is the C5 collection library, provided by ITU in Denmark. This includes implementations of some persistent/functional data structures such as persistent trees and thus may be of particular interest for use from F#. You can find out more about using these libraries at http://www.expert-fsharp/Topics/Libraries.

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Sequences are frequently used to represent the process of streaming data from an external source, such as from a database query or from a computer s file system. For example, the following recursive function constructs a seq<string> that represents the process of recursively reading the names of all the files under a given path. The return types of Directory.GetFiles and Directory.GetDirectories are string[]; and as noted earlier, this type is always compatible with seq<string>: open System.IO let rec allFiles dir = Seq.append (dir |> Directory.GetFiles) (dir |> Directory.GetDirectories |> Seq.map allFiles |> Seq.concat) This gives the following type: val allFiles : string -> seq<string> Here is an example of the function being used on one of our machines: > allFiles @"c:\WINDOWS\system32";; val it : seq<string> = = seq ["c:\\WINDOWS\\system32\\$winnt$.inf"; "c:\\WINDOWS\\system32\\12520437.cpx"; "c:\\WINDOWS\\system32\\12520850.cpx"; "c:\\WINDOWS\\system32\\6to4svc.dll"; ...] The allFiles function is interesting partly because it shows many aspects of F# working seamlessly together: Functions as values: The function allFiles is recursive and is used as a first-class function value within its own definition. Pipelining: The pipelining operator |> provides a natural way to present the transformations applied to each subdirectory name.

The symbol table for all of the keywords and tokens supported by the parser Type definitions for the symbol table Mapping of symbols to functions used in the parser Definition of LEX structure Definition of Lex class The Lex/YACC parser code Contains the majority of the query routing and parsing functions except for the lexical parser

The F# library includes a namespace Microsoft.FSharp.Math that defines a number of mathematical-related constructs including matrix and vector types, double-precision complex numbers (type Complex, abbreviated complex), arbitrary-precision integers (type BigInt, abbreviated bigint), and arbitrary-precision rationals (type BigNum, abbreviated bignum). Over time it is expected that F# will include further functionality in this namespace.

Type inference: Type inference computes all types in the obvious way, without any type annotations. NET interoperability: The System.IO.Directory operations provide intuitive primitives, which can then be incorporated in powerful ways using succinct F# programs. Laziness where needed: The function Seq.map applies the argument function lazily (on demand), which means subdirectories aren t read until required.

Although the boundary of where the parser ends and the optimizer begins is not clear from the MySQL documentation (there are contradictions), it is clear from the definition of the optimizer that the routing and control parts of the source code can be considered part of the optimizer. To avoid confusion, I am going to call the next set of functions the preparatory stage of the optimizer. The first of these preparatory functions is the mysql_execute_command() function (located in /sql/sql_parse.cc). The name leads you to believe you are actually executing the query, but that isn t the case. This function performs much of the setup steps necessary to optimize the query. The LEX structure is copied and several variables are set to help the query optimization and later execution. You can see some of these operations in a condensed view of the function shown in Listing 3-9. Listing 3-9. The mysql_execute_command() Function bool mysql_execute_command(THD *thd) { bool res= FALSE; int result= 0; LEX *lex= thd->lex; /* first SELECT_LEX (have special meaning for many of non-SELECTcommands) */ SELECT_LEX *select_lex= &lex->select_lex; /* first table of first SELECT_LEX */ TABLE_LIST *first_table= (TABLE_LIST*) select_lex->table_list.first;

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