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Monadic Parsing in Python
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Oleksii Kachaiev
June 06, 2014
Programming
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Monadic Parsing in Python
Oleksii Kachaiev
June 06, 2014
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Transcript
Monadic Parsing in Python Alexey Kachayev, 2014
About me • CTO at Attendify.com • Erlang, Clojure, Go,
Haskell • Fn.py library author • CPython & Storm contributor
Find me •@kachayev •github.com/kachayev •kachayev <$> gmail.com
Topic
Will talk •What is "parsing(ers)" •Approaches •Monadic parsing from scratch
•More…
Will talk •Less about theory •Much more about practice
Won’t talk •What "monad" is •Why FP is cool (*)
* you’ll understand it by yourself
Parsing
Definition •Takes grammar •Takes input string (?) •Returns tree (??)
or an error
None
For PL creators only?
Tasks • Processing information from logs • Source code analysing
• DSLs • Protocols & data formats • … and more
Approaches
Production rule S → SS|(S)|()
Grammar block = ["const" ident "=" number {"," ident "="
number} ";"] ["var" ident {"," ident} ";"] {"procedure" ident ";" block ";"} statement ! expression = ["+"|"-"] term {("+"|"-") term} ! term = factor {("*"|"/") factor} ! factor = ident | number | "(" expression ")" ! . . . .
•Top-down / bottom-up •Predictive / Backtracking •LL(k), LALR, LR, CYK
and others In theory
Manually!
@ wikipedia
Manually •Simple to understand •Hard to maintain •Really boring
Can we do better?
What we have •Context-free grammars •Formal theory •Well-defined algorithms •Standard
grammar notation(s)
So…
Parser generator •1. Parse DSL notation •2. Generate parser code
•("any" language)
Parser generator •*PEG* •*Yacc* •ANTLR •… and tens more
Parser generator •Pros •many targeted languages •formalism •performance & optimisations
Parser generator •Cons •another language •bounded in features •"compiled-time" mostly
Can we do better?
Monadic parsers & combinators
Functional Pearls Monadic Parsing in Haskell @Graham Hutton, @Erik Meijer
Parsec MPC library for Haskell
Parsec •Monadic parser combinator(s) •Works even with context- sensitive, infinite
LA grammars •Tens of ports to other langs
None
The Big Idea
Simple type Parser = String → Tree
Compose? type Parser = String → (Tree, String)
Generalize? type Parser a = String → (a, String)
Errors? type Parser a = String → Maybe (a, String)
Or better… type Parser a = String → [(a, String)]
Let’s try…
Snippets: http://goo.gl/leQIEE
None
None
None
None
… and so?
Expressiveness •[] for error •[s1] for single (predictive) •[s1..sN] for
backtracking
First-class citizen
None
Skip anything…
Recognise digit
Combinators
RegExp •and: "abc" •or: "a | b | c" •Kleene
star: "a*"
Derives •a? = "" | a •a+ = aa* •a{2,3}
= aa | aaa
None
None
laziness is cool for this do you need backtracking?
How to use it?
None
None
Cool! but..
ugly ugly not readable
Enhancements •use generators for "laziness" •"combine" function •Scala-style methods •"delay"
method
fn.py Stream
None
[1,2,3,4,5] expr →"[" digit (","digit)* "]"
None
Interesting! but..
Is it enough?
In Haskell
Can I do this in Python?
… hm
Challenge accepted!
In Python
How?
Desugaring…
What?
WAT??? even more like
unit a → Parser a
bind Parser a → (a → Parser b) → Parser
b
lift (a → b) → (a → Parser b)
lifted Parser a → (a → b) → Parser b
WAT??? ok, looks cool, but
None
None
How to use
And even more..
Haskell-style
Do-notation
None
None
(define R 2) (define diameter (lambda (r) (* 2 r)))
None
None
Looks nice!
Mutability kills backtracking :(
And more •errors handling •backtracking control •performance
Links • "funcparselib" http://goo.gl/daidQY • "Monadic parsing in Haskell" http://goo.gl/gygNlM
• "Higher-Order functions for Parsing" http://goo.gl/c8VOIZ • "Parsec" http://goo.gl/bdnDZQ • "Parcon" http://goo.gl/CT06S5 • "Pyparsing" http://goo.gl/gmr2lQ • "You Could Have Invented Monadic Parsing" http://goo.gl/h0rnOQ
Learn Haskell For Great Good
Q/A thanks for your attention,