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{-# LANGUAGE RecordWildCards
, PatternGuards
, ScopedTypeVariables
#-}
{-|
Description: Deterministic finite state transducers
-}
module Data.String.DFST
( DFST(..)
, runDFST
) where
import Data.Map.Strict (Map, (!?))
import qualified Data.Map.Strict as Map
import Data.Set (Set)
import qualified Data.Set as Set
data DFST state = DFST
{ stInitial :: state
, stTransition :: Map (state, Char) (state, Maybe Char)
-- ^ All @(s, c)@-combinations not mapped are assumed to map to @(s, Nothing)@
, stAccept :: Set state
}
runDFST :: forall state. Ord state => DFST state -> String -> Maybe String
runDFST DFST{..} str = ($ []) <$> go stInitial str id
where
go :: state -> String -> (String -> String) -> Maybe (String -> String)
go st [] acc
| st `Set.member` stAccept = Just acc
| otherwise = Nothing
go st (c:cs) acc
| Just (st', mc') <- stTransition !? (st, c)
= go st' cs $ acc . maybe id (:) mc'
| otherwise
= go st cs acc
|