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+----------------------------------------------------------------------
+-- |
+-- Maintainer : PL
+-- Stability : (stable)
+-- Portability : (portable)
+--
+-- > CVS $Date: 2005/05/13 12:40:19 $
+-- > CVS $Author: peb $
+-- > CVS $Revision: 1.6 $
+--
+-- Basic type declarations and functions for grammar formalisms
+-----------------------------------------------------------------------------
+
+
+module GF.GFCC.Parsing.FCFG.Utilities where
+
+import Control.Monad
+import Data.Array
+import Data.List (groupBy)
+
+import GF.Data.SortedList
+import GF.Data.Assoc
+import GF.Data.Utilities (sameLength, foldMerge, splitBy)
+
+import GF.Infra.PrintClass
+
+
+------------------------------------------------------------
+-- ranges as single pairs
+
+type RangeRec = [Range]
+
+data Range = Range {-# UNPACK #-} !Int {-# UNPACK #-} !Int
+ | EmptyRange
+ deriving (Eq, Ord)
+
+makeRange :: Int -> Int -> Range
+makeRange = Range
+
+concatRange :: Range -> Range -> [Range]
+concatRange EmptyRange rng = return rng
+concatRange rng EmptyRange = return rng
+concatRange (Range i j) (Range j' k) = [Range i k | j==j']
+
+minRange :: Range -> Int
+minRange (Range i j) = i
+
+maxRange :: Range -> Int
+maxRange (Range i j) = j
+
+
+------------------------------------------------------------
+-- * representaions of input tokens
+
+data Input t = MkInput { inputBounds :: (Int, Int),
+ inputToken :: Assoc t [Range]
+ }
+
+input :: Ord t => [t] -> Input t
+input toks = MkInput inBounds inToken
+ where
+ inBounds = (0, length toks)
+ inToken = accumAssoc id [ (tok, makeRange i j) | (i,j,tok) <- zip3 [0..] [1..] toks ]
+
+inputMany :: Ord t => [[t]] -> Input t
+inputMany toks = MkInput inBounds inToken
+ where
+ inBounds = (0, length toks)
+ inToken = accumAssoc id [ (tok, makeRange i j) | (i,j,ts) <- zip3 [0..] [1..] toks, tok <- ts ]
+
+
+------------------------------------------------------------
+-- * representations of syntactical analyses
+
+-- ** charts as finite maps over edges
+
+-- | The values of the chart, a list of key-daughters pairs,
+-- has unique keys. In essence, it is a map from 'n' to daughters.
+-- The daughters should be a set (not necessarily sorted) of rhs's.
+type SyntaxChart n e = Assoc e [SyntaxNode n [e]]
+
+data SyntaxNode n e = SMeta
+ | SNode n [e]
+ | SString String
+ | SInt Integer
+ | SFloat Double
+ deriving (Eq,Ord)
+
+groupSyntaxNodes :: Ord n => [SyntaxNode n e] -> [SyntaxNode n [e]]
+groupSyntaxNodes [] = []
+groupSyntaxNodes (SNode n0 es0:xs) = (SNode n0 (es0:ess)) : groupSyntaxNodes xs'
+ where
+ (ess,xs') = span xs
+
+ span [] = ([],[])
+ span xs@(SNode n es:xs')
+ | n0 == n = let (ess,xs) = span xs' in (es:ess,xs)
+ | otherwise = ([],xs)
+groupSyntaxNodes (SString s:xs) = (SString s) : groupSyntaxNodes xs
+groupSyntaxNodes (SInt n:xs) = (SInt n) : groupSyntaxNodes xs
+groupSyntaxNodes (SFloat f:xs) = (SFloat f) : groupSyntaxNodes xs
+
+-- better(?) representation of forests:
+-- data Forest n = F (SMap n (SList [Forest n])) Bool
+-- ==
+-- type Forest n = GeneralTrie n (SList [Forest n]) Bool
+-- (the Bool == isMeta)
+
+-- ** syntax forests
+
+data SyntaxForest n = FMeta
+ | FNode n [[SyntaxForest n]]
+ -- ^ The outer list should be a set (not necessarily sorted)
+ -- of possible alternatives. Ie. the outer list
+ -- is a disjunctive node, and the inner lists
+ -- are (conjunctive) concatenative nodes
+ | FString String
+ | FInt Integer
+ | FFloat Double
+ deriving (Eq, Ord, Show)
+
+instance Functor SyntaxForest where
+ fmap f (FNode n forests) = FNode (f n) $ map (map (fmap f)) forests
+ fmap _ (FString s) = FString s
+ fmap _ (FInt n) = FInt n
+ fmap _ (FFloat f) = FFloat f
+ fmap _ (FMeta) = FMeta
+
+forestName :: SyntaxForest n -> Maybe n
+forestName (FNode n _) = Just n
+forestName _ = Nothing
+
+unifyManyForests :: (Monad m, Eq n) => [SyntaxForest n] -> m (SyntaxForest n)
+unifyManyForests = foldM unifyForests FMeta
+
+-- | two forests can be unified, if either is 'FMeta', or both have the same parent,
+-- and all children can be unified
+unifyForests :: (Monad m, Eq n) => SyntaxForest n -> SyntaxForest n -> m (SyntaxForest n)
+unifyForests FMeta forest = return forest
+unifyForests forest FMeta = return forest
+unifyForests (FNode name1 children1) (FNode name2 children2)
+ | name1 == name2 && not (null children) = return $ FNode name1 children
+ where children = [ forests | forests1 <- children1, forests2 <- children2,
+ sameLength forests1 forests2,
+ forests <- zipWithM unifyForests forests1 forests2 ]
+unifyForests (FString s1) (FString s2)
+ | s1 == s2 = return $ FString s1
+unifyForests (FInt n1) (FInt n2)
+ | n1 == n2 = return $ FInt n1
+unifyForests (FFloat f1) (FFloat f2)
+ | f1 == f2 = return $ FFloat f1
+unifyForests _ _ = fail "forest unification failure"
+
+{- måste tänka mer på detta:
+compactForests :: Ord n => [SyntaxForest n] -> SList (SyntaxForest n)
+compactForests = map joinForests . groupBy eqNames . sortForests
+ where eqNames f g = forestName f == forestName g
+ sortForests = foldMerge mergeForests [] . map return
+ mergeForests [] gs = gs
+ mergeForests fs [] = fs
+ mergeForests fs@(f:fs') gs@(g:gs')
+ = case forestName f `compare` forestName g of
+ LT -> f : mergeForests fs' gs
+ GT -> g : mergeForests fs gs'
+ EQ -> f : g : mergeForests fs' gs'
+ joinForests fs = case forestName (head fs) of
+ Nothing -> FMeta
+ Just name -> FNode name $
+ compactDaughters $
+ concat [ fss | FNode _ fss <- fs ]
+ compactDaughters fss = case head fss of
+ [] -> [[]]
+ [_] -> map return $ compactForests $ concat fss
+ _ -> nubsort fss
+-}
+
+-- ** syntax trees
+
+data SyntaxTree n = TMeta
+ | TNode n [SyntaxTree n]
+ | TString String
+ | TInt Integer
+ | TFloat Double
+ deriving (Eq, Ord, Show)
+
+instance Functor SyntaxTree where
+ fmap f (TNode n trees) = TNode (f n) $ map (fmap f) trees
+ fmap _ (TString s) = TString s
+ fmap _ (TInt n) = TInt n
+ fmap _ (TFloat f) = TFloat f
+ fmap _ (TMeta) = TMeta
+
+treeName :: SyntaxTree n -> Maybe n
+treeName (TNode n _) = Just n
+treeName (TMeta) = Nothing
+
+unifyManyTrees :: (Monad m, Eq n) => [SyntaxTree n] -> m (SyntaxTree n)
+unifyManyTrees = foldM unifyTrees TMeta
+
+-- | two trees can be unified, if either is 'TMeta',
+-- or both have the same parent, and their children can be unified
+unifyTrees :: (Monad m, Eq n) => SyntaxTree n -> SyntaxTree n -> m (SyntaxTree n)
+unifyTrees TMeta tree = return tree
+unifyTrees tree TMeta = return tree
+unifyTrees (TNode name1 children1) (TNode name2 children2)
+ | name1 == name2 && sameLength children1 children2
+ = liftM (TNode name1) $ zipWithM unifyTrees children1 children2
+unifyTrees (TString s1) (TString s2)
+ | s1 == s2 = return (TString s1)
+unifyTrees (TInt n1) (TInt n2)
+ | n1 == n2 = return (TInt n1)
+unifyTrees (TFloat f1) (TFloat f2)
+ | f1 == f2 = return (TFloat f1)
+unifyTrees _ _ = fail "tree unification failure"
+
+-- ** conversions between representations
+
+chart2forests :: (Ord n, Ord e) =>
+ SyntaxChart n e -- ^ The complete chart
+ -> (e -> Bool) -- ^ When is an edge 'FMeta'?
+ -> [e] -- ^ The starting edges
+ -> SList (SyntaxForest n) -- ^ The result has unique keys, ie. all 'n' are joined together.
+ -- In essence, the result is a map from 'n' to forest daughters
+
+-- simplest implementation
+
+chart2forests chart isMeta = concatMap (edge2forests [])
+ where edge2forests edges edge
+ | isMeta edge = [FMeta]
+ | edge `elem` edges = []
+ | otherwise = map (item2forest (edge:edges)) $ chart ? edge
+ item2forest edges (SMeta) = FMeta
+ item2forest edges (SNode name children) =
+ FNode name $ children >>= mapM (edge2forests edges)
+ item2forest edges (SString s) = FString s
+ item2forest edges (SInt n) = FInt n
+ item2forest edges (SFloat f) = FFloat f
+
+{- -before AR inserted peb's patch 8/7/2007, this was:
+
+chart2forests chart isMeta = concatMap edge2forests
+ where edge2forests edge = if isMeta edge then [FMeta]
+ else map item2forest $ chart ? edge
+ item2forest (SMeta) = FMeta
+ item2forest (SNode name children) = FNode name $ children >>= mapM edge2forests
+ item2forest (SString s) = FString s
+ item2forest (SInt n) = FInt n
+ item2forest (SFloat f) = FFloat f
+
+-}
+
+{-
+-- more intelligent(?) implementation,
+-- requiring that charts and forests are sorted maps and sorted sets
+chart2forests chart isMeta = es2fs
+ where e2fs e = if isMeta e then [FMeta] else map i2f $ chart ? e
+ es2fs es = if null metas then fs else FMeta : fs
+ where (metas, nonMetas) = splitBy isMeta es
+ fs = map i2f $ unionMap (<++>) $ map (chart ?) nonMetas
+ i2f (name, children) = FNode name $
+ case head children of
+ [] -> [[]]
+ [_] -> map return $ es2fs $ concat children
+ _ -> children >>= mapM e2fs
+-}
+
+
+forest2trees :: SyntaxForest n -> SList (SyntaxTree n)
+forest2trees (FNode n forests) = map (TNode n) $ forests >>= mapM forest2trees
+forest2trees (FString s) = [TString s]
+forest2trees (FInt n) = [TInt n]
+forest2trees (FFloat f) = [TFloat f]
+forest2trees (FMeta) = [TMeta]
+
+------------------------------------------------------------
+-- pretty-printing
+
+instance Print Range where
+ prt (Range i j) = "(" ++ show i ++ "-" ++ show j ++ ")"
+ prt (EmptyRange) = "(?)"
+
+
+instance (Print s) => Print (SyntaxTree s) where
+ prt (TNode s trees)
+ | null trees = prt s
+ | otherwise = "(" ++ prt s ++ prtBefore " " trees ++ ")"
+ prt (TString s) = show s
+ prt (TInt n) = show n
+ prt (TFloat f) = show f
+ prt (TMeta) = "?"
+ prtList = prtAfter "\n"
+
+instance (Print s) => Print (SyntaxForest s) where
+ prt (FNode s []) = "(" ++ prt s ++ " - ERROR: null forests)"
+ prt (FNode s [[]]) = prt s
+ prt (FNode s [forests]) = "(" ++ prt s ++ prtBefore " " forests ++ ")"
+ prt (FNode s children) = "{" ++ prtSep " | " [ prt s ++ prtBefore " " forests |
+ forests <- children ] ++ "}"
+ prt (FString s) = show s
+ prt (FInt n) = show n
+ prt (FFloat f) = show f
+ prt (FMeta) = "?"
+ prtList = prtAfter "\n"