```-- --------------------------------------------------------------------------
--  \$Revision: 262 \$ \$Date: 2007-04-12 12:19:50 +0200 (Thu, 12 Apr 2007) \$
-- --------------------------------------------------------------------------

-- |
--
-- Module      :  PureFP.Parsers.AmbTrie
-- Copyright   :  Peter Ljunglof 2002
--
-- Maintainer  :  otakar.smrz mff.cuni.cz
-- Stability   :  provisional
-- Portability :  portable
--
-- Chapters 3 and 4 of /Pure Functional Parsing &#150; an advanced tutorial/
-- by Peter Ljungl&#246;f
--
-- <http://www.ling.gu.se/~peb/pubs/p02-lic-thesis.pdf>
--
-- <http://www.ling.gu.se/~peb/software/functional-parsing/>

--------------------------------------------------
-- the ambiguous trie from section 4.2.2

module PureFP.Parsers.AmbTrie (AmbTrie (..)) where

import PureFP.OrdMap
import PureFP.Parsers.Parser

data AmbTrie s a = [a] :&: Map s (AmbTrie s a)

instance Ord s => Monoid (AmbTrie s) where
zero                        = [] :&: emptyMap

(as:&:pmap) <+> (bs:&:qmap) = (as++bs) :&: mergeWith (<+>) pmap qmap

instance Ord s => Monad (AmbTrie s) where
return a          = [a] :&: emptyMap

(as:&:pmap) >>= k = foldr (<+>) ([]:&:mapMap (>>=k) pmap) (map k as)

instance Ord s => Functor (AmbTrie s) where
fmap f p = do a <- p ; return (f a)
{--
fmap f (as :&: pmap) = map f as :&: mapMap (fmap f) pmap
--}

instance Ord s => Sequence (AmbTrie s)

instance InputSymbol s => Symbol (AmbTrie s) s where
sym s = [] :&: (s |-> return s)
sat p = anyof (map sym (filter p symbols))

instance Ord s => Parser (AmbTrie s) s where

-- parse = error "AmbTrie: parse is not implemented"
--
-- parse   implemented by Otakar Smrz

parse ([] :&: pmap) []      = []
parse ([] :&: pmap) (s:inp) = case pmap ? s of
Just p  -> parse p inp
Nothing -> []
parse (xs :&: pmap) inp     = foldr ((:) . (,) inp)
(parse ([] :&: pmap) inp) xs

parseFull (xs :&: _)    []      = xs
parseFull (_  :&: pmap) (s:inp) = case pmap ? s of
Just p  -> parseFull p inp
Nothing -> []
```