# Lexical grammar, mode 1: top-level
AT \@
NEWLINE \n
COMMENT \%~[\n]*\n
WHITESPACE [\ \r\t]+
JUNK ~[\@\n\ \r\t]+
# Lexical grammar, mode 2: in-entry
NEWLINE \n
COMMENT \%~[\n]*\n
WHITESPACE [\ \r\t]+
NUMBER [0-9]+
NAME [a-z0-9\!\$\&\*\+\-\.\/\:\;\<\>\?\[\]\^\_\`\|]+
LBRACE \{
RBRACE \}
LPAREN \(
RPAREN \)
EQUALS =
HASH \#
COMMA ,
QUOTE \"
# Lexical grammar, mode 3: strings
# (very hairy -- see text)
# Syntactic grammar:
bibfile : ( entry )*
entry : AT NAME body
body : STRING # for comment entries
| ENTRY_OPEN contents ENTRY_CLOSE
contents : ( NAME | NUMBER ) COMMA fields # for regular entries
| fields # for macro definition entries
| value # for preamble entries
fields : field { COMMA fields }
|
field : NAME EQUALS value
value : simple_value ( HASH simple_value )*
simple_value : STRING
| NUMBER
| NAME
Other parser implementors (Nelson Beebe of "bibclean" fame, in particular) have taken the trouble to explain the language accepted by their parser, and in that spirit the following is presented.
If you are unfamiliar with the arcana of regular and context-free languages, you will not have any easy time understanding this. This is not an introduction to the BibTeX language; any LaTeX book would be more suitable for learning the data language itself.
From top-level, the following tokens are recognized according to the regular expressions on the right:
AT \@ NEWLINE \n COMMENT \%~[\n]*\n WHITESPACE [\ \r\t]+ JUNK ~[\@\n\ \r\t]+
(Note that this is PCCTS regular expression syntax, which should be fairly familiar to users of other regex engines. One oddity is that a character class is negated as "~[...]" rather than "[^...]".)
On seeing "at" at top-level, we enter in-entry mode. Whitespace, junk, newlines, and comments are all skipped, with the latter two incrementing a line counter. (Junk is explicitly recognized to allow for "bibtex"'s ``implicit comment'' scheme.)
From in-entry mode, we recognize newline, comment, and whitespace identically to top-level mode. In addition, the following tokens are recognized:
NUMBER [0-9]+
NAME [a-z0-9\!\$\&\*\+\-\.\/\:\;\<\>\?\[\]\^\_\`\|]+
LBRACE \{
RBRACE \}
LPAREN \(
RPAREN \)
EQUALS =
HASH \#
COMMA ,
QUOTE \"
At this point, the lexical scanner starts to sound suspiciously like a context-free grammar, rather than a collection of independent regular expressions. However, it is necessary to keep this complexity in the scanner because certain characters ("{" and "(" in particular) have very different lexical meanings depending on the tokens that have preceded them in the input stream.
In particular, "{" and "(" are treated as ``entry openers'' if they follow one "at" and one "name" token, unless the value of the "name" token is "comment". (Note the switch from top-level to in-entry between the two tokens.) In the @comment case, the delimiter is considered as starting a string, and we enter string mode. Otherwise, the delimiter is saved, and when we see a corresponding "}" or ")" it is considered an ``entry closer''. (Braces are balanced for free here because the string lexer takes care of counting brace-depth.)
Anywhere else, "{" is considered as starting a string, and we enter string mode. """ always starts a string, regardless of context. The other tokens ("name", "number", "equals", "hash", and "comma") are recognized unconditionally.
Note that "name" is a catch-all token used for entry types, citation keys, field names, and macro names; because BibTeX has slightly different (largely undocumented) rules for these various elements, a bit of trickery is needed to make things work. As a starting point, consider BibTeX's definition of what's allowed for an entry key: a sequence of any characters except
" # % ' ( ) , = { }
plus space. There are a couple of problems with this scheme. First, without specifying the character set from which those ``magic 10'' characters are drawn, it's a bit hard to know just what is allowed. Second, allowing "@" characters could lead to confusing BibTeX syntax (it doesn't confuse BibTeX, but it might confuse a human reader). Finally, allowing certain characters that are special to TeX means that BibTeX can generate bogus TeX code: try putting a backslash ("\") or tilde ("~") in a citation key. (This last exception is rather specific to the ``generating (La)TeX code from a BibTeX database'' application, but since that's the major application for BibTeX databases, then it will presumably be the major application for btparse, at least initially. Thus, it makes sense to pay attention to this problem.)
In btparse, then, a name is defined as any sequence of letters, digits, underscores, and the following characters:
! $ & * + - . / : ; < > ? [ ] ^ _ ` |
This list was derived by removing BibTeX's ``magic 10'' from the set of printable 7-bit ASCII characters (32-126), and then further removing "@", "\", and "~". This means that btparse disallows some of the weirder entry keys that BibTeX would accept, such as "\foo@bar", but still allows a string with initial digits. In fact, from the above definition it appears that btparse would accept a string of all digits as a ``name;'' this is not the case, though, as the lexical scanner recognizes such a digit string as a number first. There are two problems here: BibTeX entry keys may in fact be entirely numeric, and field names may not begin with a digit. (Those are two of the not-so-obvious differences in BibTeX's handling of keys and field names.) The tricks used to deal with these problems are implemented in the parser rather than the lexical scanner, so are described in ``SYNTACTIC GRAMMAR'' below.
The string lexer recognizes "lbrace", "rbrace", "lparen", and "rparen" tokens in order to count brace- or parenthesis-depth. This is necessary so it knows when to accept a string delimited by braces or parentheses. (Note that a parenthesis-delimited string is only allowed after @comment---this is not a normal BibTeX construct.) In addition, it converts each non-space whitespace character (newline, carriage-return, and tab) to a single space. (Sequences of whitespace are not collapsed; that's the domain of string post-processing, which is well removed from the scanner or parser.) Finally, it accepts """ to delimit quote-delimited strings. Apart from those restrictions, the string lexer accepts anything up to the end-of-string delimiter.
A file is just a sequence of zero or more entries:
bibfile : ( entry )*
An entry is an at-sign, a name (the ``entry type''), and the entry body:
entry : AT NAME body
A body is either a string (this alternative is only tried if the entry type is "comment") or the entry contents:
body : STRING # for comment entries
| ENTRY_OPEN contents ENTRY_CLOSE
("ENTRY_OPEN" and "ENTRY_CLOSE" are either "{" and "}" or "(" and ")", depending what is seen in the input for a particular entry.)
There are three possible productions for the ``contents'' non-terminal. Only one applies to any given entry, depending on the entry metatype (which in turn depends on the entry type). Currently, btparse supports four entry metatypes: comment, preamble, macro definition, and regular. The first two correspond to @comment and @preamble entries; ``macro definition'' is for @string entries; and ``regular'' is for all other entry types. (The library will be extended to handle @modify and @alias entry types, and corresponding ``modify'' and ``alias'' metatypes, when BibTeX 1.0 is released and the exact syntax is known.) The ``metatype'' concept is necessary so that all entry types that aren't specifically recognized fall into the ``regular'' metatype. It's also convenient not to have to "strcmp" the entry type all the time.
contents : ( NAME | NUMBER ) COMMA fields # for regular entries
| fields # for macro definition entries
| value # for preamble entries
Note that the entry key is not just a "NAME", but "( NAME | NUMBER)". This is necessary because BibTeX allows all-numeric entry keys, but btparse's lexical scanner recognizes such digit strings as "NUMBER" tokens.
"fields" is a comma-separated list of fields, with an optional single trailing comma:
fields : field { COMMA fields }
|
A "field" is a single ``field = value'' assignment:
field : NAME EQUALS value
Note that "NAME" here is a restricted version of the ``name'' token described in ``LEXICAL GRAMMAR'' above. Any ``name'' token will be accepted by the parser, but it is immediately checked to ensure that it doesn't begin with a digit; if so, an artificial syntax error is triggered. (This is for compatibility with BibTeX, which doesn't allow field names to start with a digit.)
A "value" is a series of simple values joined by '#' characters:
value : simple_value ( HASH simple_value )*
A simple value is a string, number, or name (for macro invocations):
simple_value : STRING
| NUMBER
| NAME