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A type-safe applicative parsing library

Project description

functional_parsing_library

A small production non-ready Python library implementing basic applicative parsers. Roughly speaking, these are functions with signature str -> T | CouldNotParse transforming strings into structured data. For example, you might have a function integer which will transform "1" and "-1919" to the integers 1 and -1919, and the string "boink" to CouldNotParse().

What makes these functions useful is that they can be combined with so-called parser combinators. This way, complicated parsers can be gradually built up from smaller, simpler parsers. For example, if we already have parsers nonnegative_integer and negative_integer, the integer parser from earlier could be written as integer = nonnegative_integer | negative_integer, where | should be read as "or". This library implements various such combinators, such as many, some, ignore_left, many_till, and so on.

Another piece of structure that makes these functions useful is that they're functorial: If I have a parser p of type Parser[T] (that is, a function which parses strings to objects of type T), and a function f: T -> S, then f * p will be a parser for objects of type S. For example, take len * many(word('borf')), and try to parse "borfborfborf". Here word('borf') will parse "borf" to the string "borf" (and any other string to CouldNotParse), so the parser many(word('borf') will try and match as many "borf"s as possible and parse our string to the list ['borf', 'borf', 'borf']. The length of this list is 3, so len * many(word('borf')) parses our string to the integer 3.

This works with multi-argument functions as well. If f is a function of type [T, S] -> U, and we have parsers p and q for objects of type T and S, then f * p & q will first try to match p, and if this succeeds it will try and match q, and finally it will apply f.

Another feature of this library is its type safety. Running mypy on

from functional_parsing_library.strings import word


def add_strings(one: str, two: str, three: str) -> int:
    return len(one + two + three)


reveal_type(add_strings * word('hi'))
reveal_type(add_strings * word('hi') & word('hi'))
reveal_type(add_strings * word('hi') & word('hi') & word('di'))

will show that the first parser has type MappedParser[int, str, str], the second MappedParser[int, str], and the third Parser[int]. Expressions like

add_strings * word('hi') & word('hi') & integer

or

add_strings * word('hi') & word('hi') & word('hi') & word('hi')

will raise a TypeError, and mypy will catch this.

Documentation

To see some documentation, clone this repo, run

make serve-documentation

and in your browser you can peruse this library's docstrings at port 8000.

TODO list

  • Backport to earlier Python versions, say 3.9 and up.
  • Ambiguity in parsing, for example char('a') | word('ab') should parse "ab" as both "a" with remainder "b" and as "ab" with no remainder.
  • Syntactic sugar for monadic structure of Parser. Probably context managers can be used to craft some makeshift Haskell-like do notation.
  • if p is a parser for some unbound typevar U, and f a function from U to Any, mypy does not deal well with the expression f * p.

Variable number of arguments

As it stands, mapping over parsers cannot be done with functions accepting a variable number of arguments. For example,

from functional_parsing_library.strings import any_char

def f(*x: str) -> str:
    return ''

f * any_char & any_char

results in an internal mypy error for mypy==1.10.1 and below. From mypy==1.11.0, the internal error is gone, and the snippet results in the following type error:

Unsupported operand types for & ("MappedParser[str, Never, *tuple[Never, ...]]" and "Parser[str]")  [operator]

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