Copyright 2012, Vincent Toups This program is distributed under the terms of the GNU Lesser General Public License (see license.txt).
A Parser Combinator Library for CL
This is a parser combinator library for Common Lisp inspired by SMUG, by Drew Crampsie and augmented with improvements inspired by my own usage of this library and other monadic computations in various Lisps.
This library probably has the same functionality as SMUG but migth be more familiar to those used to Haskell's do notation.
Fear not, you needn't understand how monads work in order to make good use of this library. For those uninterested in how the library works, there are only two things you need to know to use it: what parsers are, how to use combinators on them, and how to use the special syntax in the
Parsers, in this library, are functions which accept a single parameter, the
input, and return either nil, if they cannot parse anything from that input, or a list of
parser-pair structs (defined by the library), each of which represents a possible parsing of the input, along with the remainder of the input which was not parsed. For instance, a parser that parses "a" from a string looks like:
(defun =parse-a (input) (if (empty? input) nil (let ((first-char (next input))) (if (string= first-char "a") (list (parser-pair first-char (rest-of input))) nil))))
next is a method which fetches the next item from an input.
next is defined for lists and strings by default, but can be extended by the user with
rest-of is its partner, it returns the rest of the input.
parser-pair constructs a
parser-pair struct instance whose first value is the parsed result, and whose second value is the rest of the input that was not parsed. As indicated above, returning
nil means nothing was parsed at all.
Any function which conforms to this type can be treated as a parser by the library. If you want to write you own parsers without ever touching the special syntax in the library, you do so just as we did above. By convention, parsers in the library start with the
= character, to distinguish them visually from other functions.
We could have written the above parser with a combinator from the library,
=>string, like so:
(defun =parse-a (input) (funcall (=>string "a") input))
=>string is a function which takes a string and returns a parser, which we use to parse the input. Any function which produces a parser begins with
=> in this library. The simplest such function is the function referred to as the parser return function,
=> returns a parser which does nothing to the input, and returns a single parser-pair (in a list), whose return value is
The whole idea of this library is to construct parsers from simpler parsers.
Special Syntax for Parser Construction and Definition
The library provides syntax to make writing parsers easier. We could have defined
=parse-a above like so, for instance:
(defparser =parse-a (x <- =item) (if (string= x "a") (=> x) =nil))
Since we often treat parsers as both functions and regular variables,
defparser establishes both a variable
=parse-a and a function by the same name. This function, as defined above, is equivalent to the previous definitions, but how do we read it?
Within the body of a
parser form, which is the anonymous version), each expression must be either a parser itself or a "binding expression" of the form
`(variable <- parser-expression)`
When an expression is just a parser, that parser must succeed or the entire parser being defined will return nil. Subsequent parsers executed in the body will then see only the input not parsed by previous parsers.
When a binding expression is encountered, the parser on the right hand side is to the current input, which may have been parsed down by previous expressions in the body, and, if the parse succeeds, then in the rest of the body, the
variable in the left-hand-side is bound to the value in the value-slot of the
parser-pairs returned by the parser. Hence, in the above expression, the first form:
(x <- =item)
=item applied to the input of the parser.
=item always pulls one item off of the input and only fails when the input is empty. If the input is empty, then the parse fails, and no further forms are executed. If
=item succeeds, then we look to the next line. The next line is not a binding form. It is an if statement, which is fine, subject to the constraint that each branch must return a parser. If the item we've parsed from the input is "a", then we use
=> to create a parser which inserts "a" as its parser-pair's value. If not, we return the
=nil parser, which always fails.
If we wanted to parse "a" and then "b", we'd write:
(defparser =parse-ab (=>string "a") (=>string "b"))
=>or combinator produces a parser if any of its input parsers succeed, returning the value of the first success from left to right. For instance, to parser "a" or "b":
(defparser =a-or-b (=>or (=>string "a") (=>string "b")))
(=a-or-b "abc") -> (list (parser-pair "a" "bc")) (=a-or-b "bbc") -> (list (parser-pair "b" "bc"))
=>and succeeds only when all of its input parsers succeed in turn, finally returning the result of the last parser:
(funcall (=>and (=>string "a") (=>string "b")) "ab") -> (list (parser-pair "b" ""))
n or fewer items from the input, regardless of what they are:
(funcall (=>items 3) "abcd") -> (list (parser-pair (list "a" "b" "c") "d"))
=>zero-plus-more parsers as many of its input parser as possible and returns them in a list, possibly an empty one:
(funcall (=>zero-plus-more (=>string "a")) "aaaab") -> (list (parser-pair (list "a" "a" "a" "a") "b"))
=>one-plus-more does the same except it fails if there is not at least one parsable object.
Parseltongue, like SMUG, is actually a non-deterministic library - parsers can parse in multiple ways simultaneously. I'll write some documentation about that later, but if you are using it for regular deterministic parser, you are usually interested in only the first parser-result. Hence, the function
parse/first-result is a handy thing:
(parser/first-result (=>string "a") "abc") -> "a"
It returns the first parse result and leaves off the leftover input.
I'd like to thank Drew for writing up SMUG, which was critical in developing an understanding of monads in Lisp and obviously in inspiring this library. He also provided some correspondence when I didn't understand aspects of his code.
If you like this library, it is almost a line for line port of an Elisp parser combinator library I also wrote, available in my emacs-utils repository here on github.
- Vincent Toups
- Vincent Toups