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1 [/==============================================================================
2 Copyright (C) 2001-2011 Joel de Guzman
3 Copyright (C) 2001-2011 Hartmut Kaiser
4
5 Distributed under the Boost Software License, Version 1.0. (See accompanying
6 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
7 ===============================================================================/]
8
9 [section:lexer_introduction Introduction to __lex__]
10
11 Lexical scanning is the process of analyzing the stream of input characters and
12 separating it into strings called tokens, separated by whitespace.
13 Most compiler texts start here, and devote several chapters to discussing
14 various ways to build scanners. __lex__ is a library built to take care of the
15 complexities of creating a lexer for your grammar (in this documentation we
16 will use the terms 'lexical analyzer', 'lexer' and 'scanner' interchangeably).
17 All that is needed to create a lexer is to know the set of patterns describing
18 the different tokens you want to recognize in the input. To make this a bit more
19 formal, here are some definitions:
20
21 * A token is a sequence of consecutive characters having a collective meaning.
22 Tokens may have attributes specific to the token type, carrying additional
23 information about the matched character sequence.
24 * A pattern is a rule expressed as a regular expression and describing how a
25 particular token can be formed. For example, [^\[A-Za-z\]\[A-Za-z_0-9\]*] is
26 a pattern for a rule matching C++ identifiers.
27 * Characters between tokens are called whitespace; these include spaces, tabs,
28 newlines, and formfeeds. Many people also count comments as whitespace,
29 though since some tools such as lint look at comments, this method is not
30 perfect.
31
32 [heading Why Use a Separate Lexer?]
33
34 Typically, lexical scanning is done in a separate module from the parser,
35 feeding the parser with a stream of input tokens only. Theoretically it is
36 not necessary implement this separation as in the end there is only one set of
37 syntactical rules defining the language, so in theory we could write the whole
38 parser in one module. In fact, __qi__ allows you to write parsers without using a
39 lexer, parsing the input character stream directly, and for the most part this
40 is the way __spirit__ has been used since its invention.
41
42 However, this separation has both practical and theoretical basis, and proves to
43 be very useful in practical applications. In 1956, Noam Chomsky defined the
44 "Chomsky Hierarchy" of grammars:
45
46 * Type 0: Unrestricted grammars (e.g., natural languages)
47 * Type 1: Context-Sensitive grammars
48 * Type 2: Context-Free grammars
49 * Type 3: Regular grammars
50
51 The complexity of these grammars increases from regular grammars being the
52 simplest to unrestricted grammars being the most complex. Similarly, the
53 complexity of pattern recognition for these grammars increases. Although, a few
54 features of some programming languages (such as C++) are Type 1, fortunately
55 for the most part programming languages can be described using only the Types 2
56 and 3. The neat part about these two types is that they are well known and the
57 ways to parse them are well understood. It has been shown that any regular
58 grammar can be parsed using a state machine (finite automaton). Similarly,
59 context-free grammars can always be parsed using a push-down automaton
60 (essentially a state machine augmented by a stack).
61
62 In real programming languages and practical grammars, the parts that can be
63 handled as regular expressions tend to be the lower-level pieces, such as the
64 definition of an identifier or of an integer value:
65
66 letter := [a-zA-Z]
67 digit := [0-9]
68
69 identifier := letter [ letter | digit ]*
70 integer := digit+
71
72 Higher level parts of practical grammars tend to be more complex and can't be
73 implemented using plain regular expressions. We need to store
74 information on the built-in hardware stack while recursing the grammar
75 hierarchy, and that is the preferred approach used for top-down
76 parsing. Since it takes a different kind of abstract machine to parse the two
77 types of grammars, it proved to be efficient to separate the lexical scanner
78 into a separate module which is built around the idea of a state machine. The
79 goal here is to use the simplest parsing technique needed for the job.
80
81 Another, more practical, reason for separating the scanner from the parser is
82 the need for backtracking during parsing. The input data is a stream of
83 characters, which is often thought to be processed left to right without any
84 backtracking. Unfortunately, in practice most of the time that isn't possible.
85 Almost every language has certain keywords such as IF, FOR, and WHILE. The
86 decision if a certain character sequence actually comprises a keyword or just
87 an identifier often can be made only after seeing the first delimiter /after/
88 it. In fact, this makes the process backtracking, since we need to store the
89 string long enough to be able to make the decision. The same is true for more
90 coarse grained language features such as nested IF/ELSE statements, where the
91 decision about to which IF belongs the last ELSE statement can be made only
92 after seeing the whole construct.
93
94 So the structure of a conventional compiler often involves splitting up the
95 functions of the lower-level and higher-level parsing. The lexical scanner
96 deals with things at the character level, collecting characters into strings,
97 converting character sequence into different representations as integers, etc.,
98 and passing them along to the parser proper as indivisible tokens. It's also
99 considered normal to let the scanner do additional jobs, such as identifying
100 keywords, storing identifiers in tables, etc.
101
102 Now, __spirit__ follows this structure, where __lex__ can be used to implement
103 state machine based recognizers, while __qi__ can be used to build recognizers
104 for context free grammars. Since both modules are seamlessly integrated with
105 each other and with the C++ target language it is even possible to use the
106 provided functionality to build more complex grammar recognizers.
107
108 [heading Advantages of using __lex__]
109
110 The advantage of using __lex__ to create the lexical analyzer over using more
111 traditional tools such as __flex__ is its carefully crafted integration with
112 the __spirit__ library and the C++ host language. You don't need any external
113 tools to generate the code, your lexer will be perfectly integrated with the
114 rest of your program, making it possible to freely access any context
115 information and data structure. Since the C++ compiler sees all the code, it
116 will generate optimal code no matter what configuration options have been chosen
117 by the user. __lex__ gives you the vast majority of features you could get from
118 a similar __flex__ program without the need to leave C++ as a host language:
119
120 * The definition of tokens is done using regular expressions (patterns)
121 * The token definitions can refer to special substitution strings (pattern
122 macros) simplifying pattern definitions
123 * The generated lexical scanner may have multiple start states
124 * It is possible to attach code to any of the token definitions; this code gets
125 executed whenever the corresponding token pattern has been matched
126
127 Even if it is possible to use __lex__ to generate C++ code representing
128 the lexical analyzer (we will refer to that as the /static/ model, described in
129 more detail in the section __sec_lex_static_model__) - a model
130 very similar to the way __flex__ operates - we will mainly focus on the
131 opposite, the /dynamic/ model. You can directly integrate the token definitions
132 into your C++ program, building the lexical analyzer dynamically at runtime. The
133 dynamic model is something not supported by __flex__ or other lexical scanner
134 generators (such as __re2c__, __ragel__, etc.). This dynamic flexibility allows
135 you to speed up the development of your application.
136
137 [heading The Library Structure of __lex__]
138
139 The [link spirit.lexerflow figure] below shows a high level overview of how the
140 __lex__ library might be used in an application. __lex__ allows to create
141 lexical analyzers based on patterns. These patterns are regular expression
142 based rules used to define the different tokens to be recognized in the
143 character input sequence. The input sequence is expected to be provided to the
144 lexical analyzer as an arbitrary standard forward iterator. The lexical
145 analyzer itself exposes a standard forward iterator as well. The difference
146 here is that the exposed iterator provides access to the token sequence instead
147 of to the character sequence. The tokens in this sequence are constructed on
148 the fly by analyzing the underlying character sequence and matching this to the
149 patterns as defined by the application.
150
151 [fig lexerflow.png..The Library structure and Common Flow of Information while using __lex__ in an application..spirit.lexerflow]
152
153
154 [endsect]