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forked from GitHub/gf-core

Some refactorings needed for recursion removal.

This commit is contained in:
bringert
2007-06-25 13:38:40 +00:00
parent f081dc0d6b
commit 2b63a89569
4 changed files with 73 additions and 59 deletions

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@@ -68,33 +68,6 @@ makeSimpleRegular opts s = makeRegular $ cfgToCFRules s
preprocess = fix (topDownFilter start . bottomUpFilter)
. removeCycles
--
-- * Approximate context-free grammars with regular grammars.
--
-- Use the transformation algorithm from \"Regular Approximation of Context-free
-- Grammars through Approximation\", Mohri and Nederhof, 2000
-- to create an over-generating regular frammar for a context-free
-- grammar
makeRegular :: CFRules -> CFRules
makeRegular g = groupProds $ concatMap trSet (mutRecCats True g)
where trSet cs | allXLinear cs rs = rs
| otherwise = concatMap handleCat csl
where csl = Set.toList cs
rs = catSetRules g cs
handleCat c = [CFRule c' [] (mkCFTerm (c++"-empty"))] -- introduce A' -> e
++ concatMap (makeRightLinearRules c) (catRules g c)
where c' = newCat c
makeRightLinearRules b' (CFRule c ss n) =
case ys of
[] -> newRule b' (xs ++ [Cat (newCat c)]) n -- no non-terminals left
(Cat b:zs) -> newRule b' (xs ++ [Cat b]) n
++ makeRightLinearRules (newCat b) (CFRule c zs n)
where (xs,ys) = break (`catElem` cs) ss
-- don't add rules on the form A -> A
newRule c rhs n | rhs == [Cat c] = []
| otherwise = [CFRule c rhs n]
newCat c = c ++ "$"
--
-- * Compile strongly regular grammars to NFAs
@@ -300,26 +273,3 @@ addStatesForCats :: Set Cat_ -> NFA t -> (NFA t, Map Cat_ State)
addStatesForCats cs fa = (fa', m)
where (fa', ns) = newStates (replicate (Set.size cs) ()) fa
m = Map.fromList (zip (Set.toList cs) (map fst ns))
ruleIsNonRecursive :: Set Cat_ -> CFRule_ -> Bool
ruleIsNonRecursive cs = noCatsInSet cs . ruleRhs
noCatsInSet :: Set Cat_ -> [Symbol Cat_ t] -> Bool
noCatsInSet cs = not . any (`catElem` cs)
-- | Check if all the rules are right-linear, or all the rules are
-- left-linear, with respect to given categories.
allXLinear :: Set Cat_ -> [CFRule_] -> Bool
allXLinear cs rs = all (isRightLinear cs) rs || all (isLeftLinear cs) rs
-- | Checks if a context-free rule is right-linear.
isRightLinear :: Set Cat_ -- ^ The categories to consider
-> CFRule_ -- ^ The rule to check for right-linearity
-> Bool
isRightLinear cs = noCatsInSet cs . safeInit . ruleRhs
-- | Checks if a context-free rule is left-linear.
isLeftLinear :: Set Cat_ -- ^ The categories to consider
-> CFRule_ -- ^ The rule to check for right-linearity
-> Bool
isLeftLinear cs = noCatsInSet cs . drop 1 . ruleRhs

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@@ -3,7 +3,8 @@ module GF.Speech.RegExp (RE(..),
isEpsilon, isNull,
unionRE, concatRE, seqRE,
repeatRE, minimizeRE,
mapRE, joinRE,
mapRE, mapRE', joinRE,
symbolsRE,
dfa2re, prRE) where
import Data.List
@@ -107,10 +108,13 @@ firstRE (REConcat (x:xs)) = (x, REConcat xs)
firstRE r = (r,epsilonRE)
mapRE :: (a -> b) -> RE a -> RE b
mapRE f (REConcat xs) = REConcat (map (mapRE f) xs)
mapRE f (REUnion xs) = REUnion (map (mapRE f) xs)
mapRE f (RERepeat xs) = RERepeat (mapRE f xs)
mapRE f (RESymbol s) = RESymbol (f s)
mapRE f = mapRE' (RESymbol . f)
mapRE' :: (a -> RE b) -> RE a -> RE b
mapRE' f (REConcat xs) = REConcat (map (mapRE' f) xs)
mapRE' f (REUnion xs) = REUnion (map (mapRE' f) xs)
mapRE' f (RERepeat x) = RERepeat (mapRE' f x)
mapRE' f (RESymbol s) = f s
joinRE :: RE (RE a) -> RE a
joinRE (REConcat xs) = REConcat (map joinRE xs)
@@ -118,6 +122,12 @@ joinRE (REUnion xs) = REUnion (map joinRE xs)
joinRE (RERepeat xs) = RERepeat (joinRE xs)
joinRE (RESymbol ss) = ss
symbolsRE :: RE a -> [a]
symbolsRE (REConcat xs) = concatMap symbolsRE xs
symbolsRE (REUnion xs) = concatMap symbolsRE xs
symbolsRE (RERepeat x) = symbolsRE x
symbolsRE (RESymbol x) = [x]
-- Debugging
prRE :: RE String -> String

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@@ -49,7 +49,7 @@ import Data.Set (Set)
import qualified Data.Set as Set
data SRG = SRG { grammarName :: String -- ^ grammar name
, startCat :: String -- ^ start category name
, startCat :: SRGCat -- ^ start category name
, origStartCat :: String -- ^ original start category name
, grammarLanguage :: Maybe String -- ^ The language for which the grammar
-- is intended, e.g. en-UK
@@ -61,7 +61,7 @@ data SRGRule = SRGRule SRGCat String [SRGAlt] -- ^ SRG category name, original c
-- and productions
deriving (Eq,Show)
-- | maybe a probability, a rule name and a list of symbols
-- | maybe a probability, a rule name and an EBNF right-hand side
data SRGAlt = SRGAlt (Maybe Double) CFTerm SRGItem
deriving (Eq,Show)
@@ -163,6 +163,8 @@ srgTopCats srg = buildMultiMap [(oc, cat) | SRGRule cat origCat _ <- rules srg,
srgItem :: [[Symbol SRGNT Token]] -> SRGItem
srgItem = unionRE . map mergeItems . sortGroupBy (compareBy filterCats)
-- non-optimizing version:
--srgItem = unionRE . map seqRE
-- | Merges a list of right-hand sides which all have the same
-- sequence of non-terminals.

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@@ -257,6 +257,33 @@ mutRecCats incAll g = equivalenceClasses $ refl $ symmetricSubrelation $ transit
allCats = map fst g
refl = if incAll then reflexiveClosure_ allCats else reflexiveSubrelation
--
-- * Approximate context-free grammars with regular grammars.
--
-- Use the transformation algorithm from \"Regular Approximation of Context-free
-- Grammars through Approximation\", Mohri and Nederhof, 2000
-- to create an over-generating regular frammar for a context-free
-- grammar
makeRegular :: CFRules -> CFRules
makeRegular g = groupProds $ concatMap trSet (mutRecCats True g)
where trSet cs | allXLinear cs rs = rs
| otherwise = concatMap handleCat csl
where csl = Set.toList cs
rs = catSetRules g cs
handleCat c = [CFRule c' [] (mkCFTerm (c++"-empty"))] -- introduce A' -> e
++ concatMap (makeRightLinearRules c) (catRules g c)
where c' = newCat c
makeRightLinearRules b' (CFRule c ss n) =
case ys of
[] -> newRule b' (xs ++ [Cat (newCat c)]) n -- no non-terminals left
(Cat b:zs) -> newRule b' (xs ++ [Cat b]) n
++ makeRightLinearRules (newCat b) (CFRule c zs n)
where (xs,ys) = break (`catElem` cs) ss
-- don't add rules on the form A -> A
newRule c rhs n | rhs == [Cat c] = []
| otherwise = [CFRule c rhs n]
newCat c = c ++ "$"
--
-- * CFG rule utilities
@@ -292,7 +319,7 @@ ruleFun (CFRule _ _ t) = f t
f _ = IC ""
-- | Checks if a symbol is a non-terminal of one of the given categories.
catElem :: Symbol Cat_ t -> Set Cat_ -> Bool
catElem :: Ord c => Symbol c t -> Set c -> Bool
catElem s cs = symbol (`Set.member` cs) (const False) s
-- | Check if any of the categories used on the right-hand side
@@ -301,4 +328,29 @@ anyUsedBy :: Eq c => [c] -> CFRule c n t -> Bool
anyUsedBy cs (CFRule _ ss _) = any (`elem` cs) (filterCats ss)
mkCFTerm :: String -> CFTerm
mkCFTerm n = CFObj (IC n) []
mkCFTerm n = CFObj (IC n) []
ruleIsNonRecursive :: Ord c => Set c -> CFRule c n t -> Bool
ruleIsNonRecursive cs = noCatsInSet cs . ruleRhs
noCatsInSet :: Ord c => Set c -> [Symbol c t] -> Bool
noCatsInSet cs = not . any (`catElem` cs)
-- | Check if all the rules are right-linear, or all the rules are
-- left-linear, with respect to given categories.
allXLinear :: Ord c => Set c -> [CFRule c n t] -> Bool
allXLinear cs rs = all (isRightLinear cs) rs || all (isLeftLinear cs) rs
-- | Checks if a context-free rule is right-linear.
isRightLinear :: Ord c =>
Set c -- ^ The categories to consider
-> CFRule c n t -- ^ The rule to check for right-linearity
-> Bool
isRightLinear cs = noCatsInSet cs . safeInit . ruleRhs
-- | Checks if a context-free rule is left-linear.
isLeftLinear :: Ord c =>
Set c -- ^ The categories to consider
-> CFRule c n t -- ^ The rule to check for left-linearity
-> Bool
isLeftLinear cs = noCatsInSet cs . drop 1 . ruleRhs