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CHAPTER 11 I LANGUAGE-ORIENTED PROGRAMMING
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in the sections The Abstract Syntax Tree, Tokenizing the Text: Fslex, and Generating a Parser: Fsyacc. There are two distinct modes of acting on the results of the parser: compiling the results and interpreting them. Compiling simply means changing the AST into some other format that is faster or easier for a machine to execute. Originally this nearly always meant native code, but these days it s more likely to be something a little more abstract, such as IL, F#, or even C#. Interpreting the results means acting on the results straightaway without any transformation of the AST. You ll look briefly at both topics in the sections Interpreting the AST and Compiling the AST ; then you ll compare the two approaches to get some idea of when to use each one in the section Compilation vs. Interpretation.
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The Abstract Syntax Tree
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An AST is a representation of the construct that makes up the program that is meant to be easy for the programmer to use. One reason F# is good for this kind of development is its union type. Because you can use this type to represent items that are related yet do not share the same structure, it is great for representing languages. The following example shows the abstract syntax tree: type Expr = | Ident of string | Val of System.Double | Multi of Expr * Expr | Div of Expr * Expr | Plus of Expr * Expr | Minus of Expr * Expr The tree consists of just one type because it is quite simple. A complicated tree would contain many more types, but all will be generally based around this pattern. Here you can see that the tree, the type Expr, will consist of either identifiers (the Ident type), the names of the identifiers represented by a string, or values (the Val type), with their values represented by a System.Double. The type Expr consists of four more types (Multi, Div, Plus, and Minus), which represent the arithmetic operations and use recursion so are composed of other expressions.
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Tokenizing the Text: Fslex
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Tokenizing the text (sometimes called lexical analysis or lexing) basically means breaking up the text into manageable lumps, or tokens. To do this, you use the tool fslex.exe, which is itself a DSL for creating lexers (sometimes called scanners), programs, or modules for tokenizing text. The program fslex.exe is a command-line application that takes a text file representing the lexer and turns into an F# file that implements the lexer. An fslex.exe file has the extension .fsl. The file can have an optional header, which is placed between braces ({}) and is pure F# code, generally used to open modules or possibly to define helper functions. The rest is used to define the regular expressions that make up the lexer. You can bind a regular expression to an identifier using the let keyword, like this: let digit = ['0'-'9'] or you can define a regular expression as part of a rule. A rule is a collection of regular expressions that are in competition to match sections of the text. A rule is defined with the keyword
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CHAPTER 11 I LANGUAGE-ORIENTED PROGRAMMING
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rule and followed by a name for the rule and then an equals sign and the keyword parse. Next come the definitions of the regular expressions, which should be followed by an action, which is an F# expression surrounded by braces. Each rule is separated by a vertical bar (|). Each rule will become a function that is capable of matching against a stream of text. If a match is found, then the rule fires, and the F# expression is executed. If several regular expressions match the rule, then the longest match is used. The value returned by the function is the value returned by the action. This means that each action must be of the same type. If no match is found, then an exception is raised.
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