Chapter 12 |
Lexer and parser generators (ocamllex, ocamlyacc) |
|
This chapter describes two program generators: ocamllex, that
produces a lexical analyzer from a set of regular expressions with
associated semantic actions, and ocamlyacc, that produces a parser
from a grammar with associated semantic actions.
These program generators are very close to the well-known lex and
yacc commands that can be found in most C programming environments.
This chapter assumes a working knowledge of lex and yacc: while
it describes the input syntax for ocamllex and ocamlyacc and the
main differences with lex and yacc, it does not explain the basics
of writing a lexer or parser description in lex and yacc. Readers
unfamiliar with lex and yacc are referred to ``Compilers:
principles, techniques, and tools'' by Aho, Sethi and Ullman
(Addison-Wesley, 1986), or ``Lex & Yacc'', by Levine, Mason and
Brown (O'Reilly, 1992).
12.1 |
Overview of ocamllex |
|
The ocamllex command produces a lexical analyzer from a set of regular
expressions with attached semantic actions, in the style of
lex. Assuming the input file is lexer.mll, executing
ocamllex lexer.mll
produces Caml code for a lexical analyzer in file lexer.ml.
This file defines one lexing function per entry point in the lexer
definition. These functions have the same names as the entry
points. Lexing functions take as argument a lexer buffer, and return
the semantic attribute of the corresponding entry point.
Lexer buffers are an abstract data type implemented in the standard
library module Lexing. The functions Lexing.from_channel,
Lexing.from_string and Lexing.from_function create
lexer buffers that read from an input channel, a character string, or
any reading function, respectively. (See the description of module
Lexing in chapter 20.)
When used in conjunction with a parser generated by ocamlyacc, the
semantic actions compute a value belonging to the type token defined
by the generated parsing module. (See the description of ocamlyacc
below.)
The following command-line options are recognized by ocamllex.
-
-o output-file
-
Specify the name of the output file produced by ocamllex.
Default is lexer.ml, ocamllex being invoked as
ocamllex lexer.mll.
- -ml
-
Output code that does not use the Caml built-in automata
interpreter. Instead, the automaton is encoded by Caml functions.
This option is useful for debugging ocamllex, using it for
production lexers is not recommended.
12.2 |
Syntax of lexer definitions |
|
The format of lexer definitions is as follows:
{ header }
let ident = regexp ...
rule entrypoint [arg1... argn] =
parse regexp { action }
| ...
| regexp { action }
and entrypoint [arg1... argn] =
parse ...
and ...
{ trailer }
Comments are delimited by (* and *), as in Caml.
The parse keyword, can be replaced by the shortest keyword, with
the semantic consequences explained below.
The header and trailer sections are arbitrary Caml
text enclosed in curly braces. Either or both can be omitted. If
present, the header text is copied as is at the beginning of the
output file and the trailer text at the end. Typically, the
header section contains the open
directives required
by the actions, and possibly some auxiliary functions used in the
actions.
12.2.2 |
Naming regular expressions |
|
Between the header and the entry points, one can give names to
frequently-occurring regular expressions. This is written
let ident = regexp.
In following regular expressions, the identifier
ident can be used as shorthand for regexp.
The names of the entry points must be valid identifiers for Caml
values (starting with a lowercase letter).
Similarily, the arguments arg1...
argn must be valid identifiers for Caml.
Each entry point becomes a
Caml function that takes n+1 arguments,
the extra implicit last argument being of type Lexing.lexbuf.
Characters are read from the Lexing.lexbuf argument and matched
against the regular expressions provided in the rule, until a prefix
of the input matches one of the rule. The corresponding action is
then evaluated and returned as the result of the function.
If several regular expressions match a prefix of the input, the
``longest match'' rule applies: the regular expression that matches
the longest prefix of the input is selected. In case of tie, the
regular expression that occurs earlier in the rule is selected.
However, if lexer rules are introduced with the shortest keyword in
place of the parse keyword, then the ``shortest match'' rule applies:
the shortest prefix of the input is selected. In case of tie, the
regular expression that occurs earlier in the rule is still selected.
This feature is not intended for use in ordinary lexical analyzers, it
may facilitate the use of ocamllex as a simple text processing tool.
The regular expressions are in the style of lex, with a more
Caml-like syntax.
- ' char '
-
A character constant, with the same syntax as Objective Caml character
constants. Match the denoted character.
- _
-
(Underscore.) Match any character.
- eof
-
Match the end of the lexer input.
Note: On some systems, with interactive input, an end-of-file
may be followed by more characters. However, ocamllex will not
correctly handle regular expressions that contain eof followed by
something else.
- " string "
-
A string constant, with the same syntax as Objective Caml string
constants. Match the corresponding sequence of characters.
- [ character-set ]
-
Match any single character belonging to the given
character set. Valid character sets are: single
character constants ' c '; ranges of characters
' c1 ' - ' c2 ' (all characters between c1 and c2,
inclusive); and the union of two or more character sets, denoted by
concatenation.
- [ ^ character-set ]
-
Match any single character not belonging to the given character set.
- regexp *
-
(Repetition.) Match the concatenation of zero or more
strings that match regexp.
- regexp +
-
(Strict repetition.) Match the concatenation of one or more
strings that match regexp.
- regexp ?
-
(Option.) Match either the empty string, or a string matching regexp.
- regexp1 | regexp2
-
(Alternative.) Match any string that matches either regexp1 or regexp2
- regexp1 regexp2
-
(Concatenation.) Match the concatenation of two strings, the first
matching regexp1, the second matching regexp2.
- ( regexp )
-
Match the same strings as regexp.
- ident
-
Reference the regular expression bound to ident by an earlier
let ident = regexp definition.
- regexp as ident
-
Bind the substring matched by regexp to identifier ident.
Concerning the precedences of operators, * and + have
highest precedence, followed by ?, then concatenation, then
| (alternation), then as.
The actions are arbitrary Caml expressions. They are evaluated in
a context where the identifiers defined by using the as construct
are bound to subparts of the matched string.
Additionally, lexbuf is bound to the current lexer
buffer. Some typical uses for lexbuf, in conjunction with the
operations on lexer buffers provided by the Lexing standard library
module, are listed below.
-
Lexing.lexeme lexbuf
-
Return the matched string.
- Lexing.lexeme_char lexbuf n
-
Return the nth
character in the matched string. The first character corresponds to n = 0.
- Lexing.lexeme_start lexbuf
-
Return the absolute position in the input text of the beginning of the
matched string. The first character read from the input text has
position 0.
- Lexing.lexeme_end lexbuf
-
Return the absolute position in the input text of the end of the
matched string. The first character read from the input text has
position 0.
- entrypoint lexbuf
-
(Where entrypoint is the name of another entry point in the same
lexer definition.) Recursively call the lexer on the given entry point.
Useful for lexing nested comments, for example.
12.2.6 |
Variables in regular expressions |
|
The as construct is similar to ``groups'' as provided by
numerous regular expression packages.
The type of these variables can be string, char, string option
or char option.
We first consider the case of linear patterns, that is the case when
all as bound variables are distinct.
In regexp as ident, the type of ident normally is string (or
string option) except
when regexp is a character constant, an underscore, a string
constant of length one, a character set specification, or an
alternation of those. Then, the type of ident is char (or char option).
Option types are introduced when overall rule matching does not
imply matching of the bound sub-pattern. This is in particular the
case of ( regexp as indent) ? and of
regexp1 | ( regexp2 as ident ).
There is no linearity restriction over as bound variables.
When a variable is bound more than once, the previous rules are to be
extended as follows:
-
A variable is a char variable when all its occurrences bind
char occurrences in the previous sense.
- A variable is an option variable when the overall expression
can be matched without binding this variable.
For instance, in
('a' as x) | ( 'a' (_ as x) )
the variable x
is of type
char, whereas in
("ab" as x) | ( 'a' (_ as x) ? )
the variable x
is of type
string option.
In some cases, a sucessful match may not yield a unique set of bindings.
For instance the matching of aba
by the regular expression
(('a'|"ab") as x) (("ba"|'a') as y)
may result in binding
either
x
to "ab"
and y
to "a"
, or
x
to "a"
and y
to "ba"
.
The automata produced ocamllex on such ambiguous regular
expressions will select one of the possible resulting sets of
bindings.
The selected set of bindings is purposely left unspecified.
All identifiers starting with __ocaml_lex are reserved for use by
ocamllex; do not use any such identifier in your programs.
12.3 |
Overview of ocamlyacc |
|
The ocamlyacc command produces a parser from a context-free grammar
specification with attached semantic actions, in the style of yacc.
Assuming the input file is grammar.mly, executing
ocamlyacc options grammar.mly
produces Caml code for a parser in the file grammar.ml,
and its interface in file grammar.mli.
The generated module defines one parsing function per entry point in
the grammar. These functions have the same names as the entry points.
Parsing functions take as arguments a lexical analyzer (a function
from lexer buffers to tokens) and a lexer buffer, and return the
semantic attribute of the corresponding entry point. Lexical analyzer
functions are usually generated from a lexer specification by the
ocamllex program. Lexer buffers are an abstract data type
implemented in the standard library module Lexing. Tokens are values from
the concrete type token, defined in the interface file
grammar.mli produced by ocamlyacc.
12.4 |
Syntax of grammar definitions |
|
Grammar definitions have the following format:
%{
header
%}
declarations
%%
rules
%%
trailer
Comments are enclosed between /*
and */
(as in C) in the
``declarations'' and ``rules'' sections, and between (*
and
*)
(as in Caml) in the ``header'' and ``trailer'' sections.
The header and the trailer sections are Caml code that is copied
as is into file grammar.ml. Both sections are optional. The header
goes at the beginning of the output file; it usually contains
open directives and auxiliary functions required by the semantic
actions of the rules. The trailer goes at the end of the output file.
Declarations are given one per line. They all start with a %
sign.
- %token symbol ... symbol
-
Declare the given symbols as tokens (terminal symbols). These symbols
are added as constant constructors for the token concrete type.
- %token < type > symbol ... symbol
-
Declare the given symbols as tokens with an attached attribute of the
given type. These symbols are added as constructors with arguments of
the given type for the token concrete type. The type part is
an arbitrary Caml type expression, except that all type
constructor names must be fully qualified (e.g. Modname.typename)
for all types except standard built-in types, even if the proper
open
directives (e.g. open Modname
) were given in the
header section. That's because the header is copied only to the .ml
output file, but not to the .mli output file, while the type part
of a %token
declaration is copied to both.
- %start symbol ... symbol
-
Declare the given symbols as entry points for the grammar. For each
entry point, a parsing function with the same name is defined in the
output module. Non-terminals that are not declared as entry points
have no such parsing function. Start symbols must be given a type with
the
%type
directive below.
- %type < type > symbol ... symbol
-
Specify the type of the semantic attributes for the given symbols.
This is mandatory for start symbols only. Other nonterminal symbols
need not be given types by hand: these types will be inferred when
running the output files through the Objective Caml compiler (unless the
-s
option is in effect). The type part is an arbitrary Caml
type expression, except that all type constructor names must be
fully qualified, as explained above for %token.
- %left symbol ... symbol
-
- %right symbol ... symbol
-
- %nonassoc symbol ... symbol
Associate precedences and associativities to the given symbols. All
symbols on the same line are given the same precedence. They have
higher precedence than symbols declared before in a %left
,
%right
or %nonassoc
line. They have lower precedence
than symbols declared after in a %left
, %right
or
%nonassoc
line. The symbols are declared to associate to the
left (%left
), to the right (%right
), or to be
non-associative (%nonassoc
). The symbols are usually tokens.
They can also be dummy nonterminals, for use with the %prec
directive inside the rules.
The precedence declarations are used in the following way to
resolve reduce/reduce and shift/reduce conflicts:
-
Tokens and rules have precedences. By default, the precedence
of a rule is the precedence of its rightmost terminal. You
can override this default by using the %prec directive in the rule.
- A reduce/reduce conflict
is resolved in favor of the first rule (in the order given by the
source file), and ocamlyacc outputs a warning.
- A shift/reduce conflict
is resolved by comparing the precedence of the rule to be
reduced with the precedence of the token to be shifted. If the
precedence of the rule is higher, then the rule will be reduced;
if the precedence of the token is higher, then the token will
be shifted.
- A shift/reduce conflict between a rule and a token with the
same precedence will be resolved using the associativity: if the
token is left-associative, then the parser will reduce; if the
token is right-associative, then the parser will shift. If the
token is non-associative, then the parser will declare a syntax
error.
- When a shift/reduce conflict cannot be resolved using the above
method, then ocamlyacc will output a warning and the parser will
always shift.
The syntax for rules is as usual:
nonterminal :
symbol ... symbol { semantic-action }
| ...
| symbol ... symbol { semantic-action }
;
Rules can also contain the %prec
symbol directive in the
right-hand side part, to override the default precedence and
associativity of the rule with the precedence and associativity of the
given symbol.
Semantic actions are arbitrary Caml expressions, that
are evaluated to produce the semantic attribute attached to
the defined nonterminal. The semantic actions can access the
semantic attributes of the symbols in the right-hand side of
the rule with the $
notation: $1
is the attribute for the
first (leftmost) symbol, $2
is the attribute for the second
symbol, etc.
The rules may contain the special symbol error to indicate
resynchronization points, as in yacc.
Actions occurring in the middle of rules are not supported.
Nonterminal symbols are like regular Caml symbols, except that they
cannot end with ' (single quote).
Error recovery is supported as follows: when the parser reaches an
error state (no grammar rules can apply), it calls a function named
parse_error with the string "syntax error" as argument. The default
parse_error function does nothing and returns, thus initiating error
recovery (see below). The user can define a customized parse_error
function in the header section of the grammar file.
The parser also enters error recovery mode if one of the grammar
actions raises the Parsing.Parse_error exception.
In error recovery mode, the parser discards states from the
stack until it reaches a place where the error token can be shifted.
It then discards tokens from the input until it finds three successive
tokens that can be accepted, and starts processing with the first of
these. If no state can be uncovered where the error token can be
shifted, then the parser aborts by raising the Parsing.Parse_error
exception.
Refer to documentation on yacc for more details and guidance in how
to use error recovery.
The ocamlyacc command recognizes the following options:
-
-v
-
Generate a description of the parsing tables and a report on conflicts
resulting from ambiguities in the grammar. The description is put in
file grammar.output.
- -bprefix
-
Name the output files prefix.ml, prefix.mli,
prefix.output, instead of the default naming convention.
At run-time, the ocamlyacc-generated parser can be debugged by
setting the p option in the OCAMLRUNPARAM environment variable
(see section 10.2). This causes the pushdown
automaton executing the parser to print a trace of its action (tokens
shifted, rules reduced, etc). The trace mentions rule numbers and
state numbers that can be interpreted by looking at the file
grammar.output generated by ocamlyacc -v.
The all-time favorite: a desk calculator. This program reads
arithmetic expressions on standard input, one per line, and prints
their values. Here is the grammar definition:
/* File parser.mly */
%token <int> INT
%token PLUS MINUS TIMES DIV
%token LPAREN RPAREN
%token EOL
%left PLUS MINUS /* lowest precedence */
%left TIMES DIV /* medium precedence */
%nonassoc UMINUS /* highest precedence */
%start main /* the entry point */
%type <int> main
%%
main:
expr EOL { $1 }
;
expr:
INT { $1 }
| LPAREN expr RPAREN { $2 }
| expr PLUS expr { $1 + $3 }
| expr MINUS expr { $1 - $3 }
| expr TIMES expr { $1 * $3 }
| expr DIV expr { $1 / $3 }
| MINUS expr %prec UMINUS { - $2 }
;
Here is the definition for the corresponding lexer:
(* File lexer.mll *)
{
open Parser (* The type token is defined in parser.mli *)
exception Eof
}
rule token = parse
[' ' '\t'] { token lexbuf } (* skip blanks *)
| ['\n' ] { EOL }
| ['0'-'9']+ as lxm { INT(int_of_string lxm) }
| '+' { PLUS }
| '-' { MINUS }
| '*' { TIMES }
| '/' { DIV }
| '(' { LPAREN }
| ')' { RPAREN }
| eof { raise Eof }
Here is the main program, that combines the parser with the lexer:
(* File calc.ml *)
let _ =
try
let lexbuf = Lexing.from_channel stdin in
while true do
let result = Parser.main Lexer.token lexbuf in
print_int result; print_newline(); flush stdout
done
with Lexer.Eof ->
exit 0
To compile everything, execute:
ocamllex lexer.mll # generates lexer.ml
ocamlyacc parser.mly # generates parser.ml and parser.mli
ocamlc -c parser.mli
ocamlc -c lexer.ml
ocamlc -c parser.ml
ocamlc -c calc.ml
ocamlc -o calc lexer.cmo parser.cmo calc.cmo
- ocamllex: transition table overflow, automaton is too big
The deterministic automata generated by ocamllex are limited to at
most 32767 transitions. The message above indicates that your lexer
definition is too complex and overflows this limit. This is commonly
caused by lexer definitions that have separate rules for each of the
alphabetic keywords of the language, as in the following example.
rule token = parse
"keyword1" { KWD1 }
| "keyword2" { KWD2 }
| ...
| "keyword100" { KWD100 }
| ['A'-'Z' 'a'-'z'] ['A'-'Z' 'a'-'z' '0'-'9' '_'] * as id
{ IDENT id}
To keep the generated automata small, rewrite those definitions with
only one general ``identifier'' rule, followed by a hashtable lookup
to separate keywords from identifiers:
{ let keyword_table = Hashtbl.create 53
let _ =
List.iter (fun (kwd, tok) -> Hashtbl.add keyword_table kwd tok)
[ "keyword1", KWD1;
"keyword2", KWD2; ...
"keyword100", KWD100 ]
}
rule token = parse
['A'-'Z' 'a'-'z'] ['A'-'Z' 'a'-'z' '0'-'9' '_'] * as id
{ try
Hashtbl.find keyword_table id
with Not_found ->
IDENT id }
- ocamllex: Position memory overflow, too many bindings
-
The deterministic automata generated by ocamllex maintains a table of
positions inside the scanned lexer buffer. The size of this table is
limited to at most 255 cells. This error should not show up in normal
situations.