mirror of
https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-09 04:59:31 -06:00
Build SLF networks with sublattices.
This commit is contained in:
@@ -12,9 +12,11 @@
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-- Approximates CFGs with finite state networks.
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-----------------------------------------------------------------------------
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module GF.Speech.CFGToFiniteState (cfgToFA, makeSimpleRegular) where
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module GF.Speech.CFGToFiniteState (cfgToFA, makeSimpleRegular,
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MFALabel(..), MFA(..), cfgToMFA) where
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import Data.List
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import Data.Maybe
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import Data.Map (Map)
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import qualified Data.Map as Map
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import Data.Set (Set)
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@@ -31,11 +33,13 @@ import GF.Speech.FiniteState
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import GF.Speech.Relation
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import GF.Speech.TransformCFG
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data Recursivity = RightR | LeftR | NotR
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data MutRecSet = MutRecSet {
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mrCats :: [Cat_],
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mrCats :: Set Cat_,
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mrNonRecRules :: [CFRule_],
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mrRecRules :: [CFRule_],
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mrIsRightRec :: Bool
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mrRec :: Recursivity
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}
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@@ -48,6 +52,10 @@ cfgToFA opts = minimize . compileAutomaton start . makeSimpleRegular
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makeSimpleRegular :: CGrammar -> CFRules
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makeSimpleRegular = makeRegular . removeIdenticalRules . removeEmptyCats . cfgToCFRules
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--
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-- * Approximate context-free grammars with regular grammars.
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--
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-- Use the transformation algorithm from \"Regular Approximation of Context-free
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-- Grammars through Approximation\", Mohri and Nederhof, 2000
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-- to create an over-generating regular frammar for a context-free
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@@ -63,13 +71,15 @@ makeRegular g = groupProds $ concatMap trSet (mutRecCats True g)
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where c' = newCat c
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makeRightLinearRules b' (CFRule c ss n) =
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case ys of
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[] -> [CFRule b' (xs ++ [Cat (newCat c)]) n] -- no non-terminals left
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(Cat b:zs) -> CFRule b' (xs ++ [Cat b]) n
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: makeRightLinearRules (newCat b) (CFRule c zs n)
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[] -> newRule b' (xs ++ [Cat (newCat c)]) n -- no non-terminals left
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(Cat b:zs) -> newRule b' (xs ++ [Cat b]) n
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++ makeRightLinearRules (newCat b) (CFRule c zs n)
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where (xs,ys) = break (`catElem` cs) ss
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-- don't add rules on the form A -> A
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newRule c rhs n | rhs == [Cat c] = []
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| otherwise = [CFRule c rhs n]
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newCat c = c ++ "$"
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-- | Get the sets of mutually recursive non-terminals for a grammar.
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mutRecCats :: Bool -- ^ If true, all categories will be in some set.
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-- If false, only recursive categories will be included.
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@@ -79,32 +89,19 @@ mutRecCats incAll g = equivalenceClasses $ refl $ symmetricSubrelation $ transit
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allCats = map fst g
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refl = if incAll then reflexiveClosure_ allCats else reflexiveSubrelation
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--
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-- * Compile strongly regular grammars to NFAs
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--
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-- Convert a strongly regular grammar to a finite automaton.
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compileAutomaton :: Cat_ -- ^ Start category
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-> CFRules
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-> NFA Token
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compileAutomaton start g = make_fa (g,ns) s [Cat start] f fa''
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compileAutomaton start g = make_fa (g,ns) s [Cat start] f fa
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where
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fa = newFA ()
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s = startState fa
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(fa',f) = newState () fa
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fa'' = addFinalState f fa'
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(fa,s,f) = newFA_
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ns = mutRecSets g $ mutRecCats False g
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mutRecSets :: CFRules -> [Set Cat_] -> MutRecSets
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mutRecSets g = Map.fromList . concatMap mkMutRecSet
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where
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mkMutRecSet cs = [ (c,ms) | c <- csl ]
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where csl = Set.toList cs
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rs = catSetRules g csl
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(nrs,rrs) = partition (ruleIsNonRecursive cs) rs
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ms = MutRecSet {
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mrCats = csl,
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mrNonRecRules = nrs,
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mrRecRules = rrs,
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mrIsRightRec = all (isRightLinear cs) rrs
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}
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-- | The make_fa algorithm from \"Regular approximation of CFLs: a grammatical view\",
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-- Mark-Jan Nederhof. International Workshop on Parsing Technologies, 1997.
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make_fa :: (CFRules,MutRecSets) -> State -> [Symbol Cat_ Token] -> State
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@@ -116,14 +113,14 @@ make_fa c@(g,ns) q0 alpha q1 fa =
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[Cat a] -> case Map.lookup a ns of
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-- a is recursive
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Just n@(MutRecSet { mrCats = ni, mrNonRecRules = nrs, mrRecRules = rs} ) ->
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if mrIsRightRec n
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then
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case mrRec n of
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RightR ->
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-- the set Ni is right-recursive or cyclic
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let new = [(getState c, xs, q1) | CFRule c xs _ <- nrs]
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++ [(getState c, xs, getState d) | CFRule c ss _ <- rs,
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let (xs,Cat d) = (init ss,last ss)]
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in make_fas new $ newTransition q0 (getState a) Nothing fa'
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else
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LeftR ->
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-- the set Ni is left-recursive
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let new = [(q0, xs, getState c) | CFRule c xs _ <- nrs]
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++ [(getState d, xs, getState c) | CFRule c (Cat d:xs) _ <- rs]
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@@ -143,16 +140,123 @@ make_fa c@(g,ns) q0 alpha q1 fa =
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make_fas xs fa = foldl' (\f' (s1,xs,s2) -> make_fa_ s1 xs s2 f') fa xs
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addStatesForCats :: [Cat_] -> NFA Token -> (NFA Token, Map Cat_ State)
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--
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-- * Multiple DFA type
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--
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data MFALabel a = MFASym a | MFASub String
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deriving Eq
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data MFA a = MFA (DFA (MFALabel a)) [(String,DFA (MFALabel a))]
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--
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-- * Compile strongly regular grammars to multiple DFAs
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--
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cfgToMFA :: Options -> CGrammar -> MFA String
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cfgToMFA opts g = MFA startFA [(c, toMFA (minimize fa)) | (c,fa) <- fas]
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where start = getStartCat opts
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startFA = let (fa,s,f) = newFA_
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in newTransition s f (MFASub start) fa
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fas = compileAutomata $ makeSimpleRegular g
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mkMFALabel (Cat c) = MFASub c
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mkMFALabel (Tok t) = MFASym t
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toMFA = mapTransitions mkMFALabel
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-- | Convert a strongly regular grammar to a number of finite automata,
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-- one for each non-terminal.
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-- The edges in the automata accept tokens, or name another automaton to use.
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compileAutomata :: CFRules
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-> [(Cat_,NFA (Symbol Cat_ Token))]
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-- ^ A map of non-terminals and their automata.
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compileAutomata g = [(c, makeOneFA c) | c <- allCats g]
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where
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mrs = mutRecSets g $ mutRecCats True g
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makeOneFA c = make_fa1 mr s [Cat c] f fa
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where (fa,s,f) = newFA_
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mr = fromJust (Map.lookup c mrs)
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-- | The make_fa algorithm from \"Regular approximation of CFLs: a grammatical view\",
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-- Mark-Jan Nederhof. International Workshop on Parsing Technologies, 1997,
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-- adapted to build a finite automaton for a single (mutually recursive) set only.
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-- Categories not in the set (fromJustMap.lookup c mrs)will result in category-labelled edges.
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make_fa1 :: MutRecSet -- ^ The set of (mutually recursive) categories for which
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-- we are building the automaton.
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-> State -- ^ State to come from
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-> [Symbol Cat_ Token] -- ^ Symbols to accept
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-> State -- ^ State to end up in
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-> NFA (Symbol Cat_ Token) -- ^ FA to add to.
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-> NFA (Symbol Cat_ Token)
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make_fa1 mr q0 alpha q1 fa =
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case alpha of
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[] -> newTransition q0 q1 Nothing fa
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[t@(Tok _)] -> newTransition q0 q1 (Just t) fa
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[c@(Cat a)] | not (a `Set.member` mrCats mr) -> newTransition q0 q1 (Just c) fa
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[Cat a] ->
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case mrRec mr of
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NotR -> -- the set is a non-recursive (always singleton) set of categories
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-- so the set of category rules is the set of rules for the whole set
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make_fas [(q0, b, q1) | CFRule _ b _ <- mrNonRecRules mr] fa
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RightR -> -- the set is right-recursive or cyclic
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let new = [(getState c, xs, q1) | CFRule c xs _ <- mrNonRecRules mr]
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++ [(getState c, xs, getState d) | CFRule c ss _ <- mrRecRules mr,
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let (xs,Cat d) = (init ss,last ss)]
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in make_fas new $ newTransition q0 (getState a) Nothing fa'
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LeftR -> -- the set is left-recursive
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let new = [(q0, xs, getState c) | CFRule c xs _ <- mrNonRecRules mr]
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++ [(getState d, xs, getState c) | CFRule c (Cat d:xs) _ <- mrRecRules mr]
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in make_fas new $ newTransition (getState a) q1 Nothing fa'
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where
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(fa',stateMap) = addStatesForCats (mrCats mr) fa
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getState x = Map.findWithDefault
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(error $ "CFGToFiniteState: No state for " ++ x)
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x stateMap
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(x:beta) -> let (fa',q) = newState () fa
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in make_fas [(q0,[x],q),(q,beta,q1)] fa'
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where
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make_fas xs fa = foldl' (\f' (s1,xs,s2) -> make_fa1 mr s1 xs s2 f') fa xs
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mutRecSets :: CFRules -> [Set Cat_] -> MutRecSets
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mutRecSets g = Map.fromList . concatMap mkMutRecSet
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where
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mkMutRecSet cs = [ (c,ms) | c <- csl ]
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where csl = Set.toList cs
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rs = catSetRules g csl
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(nrs,rrs) = partition (ruleIsNonRecursive cs) rs
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ms = MutRecSet {
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mrCats = cs,
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mrNonRecRules = nrs,
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mrRecRules = rrs,
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mrRec = rec
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}
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rec | null rrs = NotR
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| all (isRightLinear cs) rrs = RightR
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| otherwise = LeftR
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--
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-- * Utilities
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--
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-- | Create a new finite automaton with an initial and a final state.
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newFA_ :: Enum n => (FA n () b, n, n)
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newFA_ = (fa'', s, f)
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where fa = newFA ()
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s = startState fa
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(fa',f) = newState () fa
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fa'' = addFinalState f fa'
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-- | Add a state for the given NFA for each of the categories
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-- in the given set. Returns a map of categories to their
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-- corresponding states.
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addStatesForCats :: Set Cat_ -> NFA t -> (NFA t, Map Cat_ State)
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addStatesForCats cs fa = (fa', m)
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where (fa', ns) = newStates (replicate (length cs) ()) fa
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m = Map.fromList (zip cs (map fst ns))
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where (fa', ns) = newStates (replicate (Set.size cs) ()) fa
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m = Map.fromList (zip (Set.toList cs) (map fst ns))
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ruleIsNonRecursive :: Set Cat_ -> CFRule_ -> Bool
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ruleIsNonRecursive cs = noCatsInSet cs . ruleRhs
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noCatsInSet :: Set Cat_ -> [Symbol Cat_ t] -> Bool
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noCatsInSet cs = not . any (`catElem` cs)
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@@ -22,7 +22,7 @@ module GF.Speech.FiniteState (FA, State, NFA, DFA,
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oneFinalState,
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moveLabelsToNodes, minimize,
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dfa2nfa,
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prFAGraphviz) where
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prFAGraphviz, faToGraphviz) where
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import Data.List
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import Data.Maybe
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@@ -213,13 +213,14 @@ dfa2nfa = mapTransitions Just
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--
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prFAGraphviz :: (Eq n,Show n) => FA n String String -> String
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prFAGraphviz = Dot.prGraphviz . toGraphviz
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prFAGraphviz = Dot.prGraphviz . faToGraphviz ""
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prFAGraphviz_ :: (Eq n,Show n,Show a, Show b) => FA n a b -> String
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prFAGraphviz_ = Dot.prGraphviz . toGraphviz . mapStates show . mapTransitions show
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prFAGraphviz_ = Dot.prGraphviz . faToGraphviz "" . mapStates show . mapTransitions show
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toGraphviz :: (Eq n,Show n) => FA n String String -> Dot.Graph
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toGraphviz (FA (Graph _ ns es) s f) = Dot.Graph Dot.Directed [] (map mkNode ns) (map mkEdge es)
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faToGraphviz :: (Eq n,Show n) => String -- ^ Graph ID
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-> FA n String String -> Dot.Graph
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faToGraphviz i (FA (Graph _ ns es) s f) = Dot.Graph Dot.Directed i [] (map mkNode ns) (map mkEdge es) []
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where mkNode (n,l) = Dot.Node (show n) attrs
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where attrs = [("label",l)]
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++ if n == s then [("shape","box")] else []
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@@ -231,4 +232,4 @@ toGraphviz (FA (Graph _ ns es) s f) = Dot.Graph Dot.Directed [] (map mkNode ns)
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--
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lookups :: Ord k => [k] -> Map k a -> [a]
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lookups xs m = mapMaybe (flip Map.lookup m) xs
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lookups xs m = mapMaybe (flip Map.lookup m) xs
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@@ -31,40 +31,70 @@ import GF.Speech.CFGToFiniteState
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import GF.Speech.FiniteState
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import GF.Speech.SRG
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import GF.Speech.TransformCFG
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import qualified GF.Visualization.Graphviz as Dot
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import Control.Monad
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import qualified Control.Monad.State as STM
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import Data.Char (toUpper)
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import Data.List
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import Data.Maybe (fromMaybe)
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import Data.Maybe (maybe)
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data SLFs = SLFs [(String,SLF)] SLF
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data SLF = SLF { slfNodes :: [SLFNode], slfEdges :: [SLFEdge] }
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data SLFNode = SLFNode { nId :: Int, nWord :: SLFWord, nTag :: Maybe String }
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| SLFSubLat { nId :: Int, nLat :: String }
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-- | An SLF word is a word, or the empty string.
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type SLFWord = Maybe String
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data SLFEdge = SLFEdge { eId :: Int, eStart :: Int, eEnd :: Int }
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type SLF_FA = FA State (Maybe (MFALabel String)) ()
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-- | Make a network with subnetworks in SLF
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slfPrinter :: Ident -- ^ Grammar name
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-> Options -> CGrammar -> String
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slfPrinter name opts cfg = prSLF (automatonToSLF $ mkSLFFA opts cfg) ""
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slfPrinter name opts cfg = prSLFs (mfaToSLFs $ cfgToMFA opts cfg) ""
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slfGraphvizPrinter :: Ident -- ^ Grammar name
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-> Options -> CGrammar -> String
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slfGraphvizPrinter name opts cfg =
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prFAGraphviz $ mapStates (fromMaybe "") $ mapTransitions (const "") $ mkSLFFA opts cfg
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-> Options -> CGrammar -> String
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slfGraphvizPrinter name opts cfg = Dot.prGraphviz g
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where MFA main subs = cfgToMFA opts cfg
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g = Dot.addSubGraphs (map (uncurry gvSLFFA) subs) $ gvSLFFA "" main
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mkSLFFA :: Options -> CGrammar -> FA State (Maybe String) ()
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mkSLFFA opts cfg = oneFinalState Nothing () $ moveLabelsToNodes $ dfa2nfa $ cfgToFA opts cfg
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gvSLFFA :: String -> DFA (MFALabel String) -> Dot.Graph
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gvSLFFA n = faToGraphviz n . mapStates (maybe "" mfaLabelToGv)
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. mapTransitions (const "") . slfStyleFA
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where mfaLabelToGv (MFASym s) = s
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mfaLabelToGv (MFASub s) = "<" ++ s ++ ">"
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automatonToSLF :: FA State (Maybe String) () -> SLF
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automatonToSLF fa = SLF { slfNodes = map mkSLFNode (states fa),
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slfEdges = zipWith mkSLFEdge [0..] (transitions fa) }
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mapMFA :: (DFA (MFALabel a) -> b) -> MFA a -> (b,[(String,b)])
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mapMFA f (MFA main subs) = (f main, [(c, f fa) | (c,fa) <- subs])
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mkSLFNode :: (Int, Maybe String) -> SLFNode
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mkSLFNode (i, Nothing) = SLFNode { nId = i, nWord = Nothing, nTag = Nothing }
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mkSLFNode (i, Just w)
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slfStyleFA :: DFA (MFALabel String) -> SLF_FA
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slfStyleFA = oneFinalState Nothing () . moveLabelsToNodes . dfa2nfa
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mfaToSLFs :: MFA String -> SLFs
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mfaToSLFs (MFA main subs)
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= SLFs [(c, dfaToSLF fa) | (c,fa) <- subs] (dfaToSLF main)
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where dfaToSLF = automatonToSLF . slfStyleFA
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automatonToSLF :: SLF_FA -> SLF
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automatonToSLF fa = SLF { slfNodes = ns, slfEdges = es }
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where ns = map (uncurry mfaNodeToSLFNode) (states fa)
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es = zipWith (\i (f,t,()) -> mkSLFEdge i (f,t)) [0..] (transitions fa)
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mfaNodeToSLFNode :: Int -> Maybe (MFALabel String) -> SLFNode
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mfaNodeToSLFNode i l = case l of
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Nothing -> mkSLFNode i Nothing
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Just (MFASym x) -> mkSLFNode i (Just x)
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Just (MFASub s) -> mkSLFSubLat i s
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mkSLFNode :: Int -> Maybe String -> SLFNode
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mkSLFNode i Nothing = SLFNode { nId = i, nWord = Nothing, nTag = Nothing }
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mkSLFNode i (Just w)
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| isNonWord w = SLFNode { nId = i,
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nWord = Nothing,
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nTag = Just w }
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@@ -72,17 +102,30 @@ mkSLFNode (i, Just w)
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nWord = Just (map toUpper w),
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nTag = Just w }
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mkSLFEdge :: Int -> (Int,Int,()) -> SLFEdge
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mkSLFEdge i (f,t,()) = SLFEdge { eId = i, eStart = f, eEnd = t }
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mkSLFSubLat :: Int -> String -> SLFNode
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mkSLFSubLat i sub = SLFSubLat { nId = i, nLat = sub }
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mkSLFEdge :: Int -> (Int,Int) -> SLFEdge
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mkSLFEdge i (f,t) = SLFEdge { eId = i, eStart = f, eEnd = t }
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prSLFs :: SLFs -> ShowS
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prSLFs (SLFs subs main) = unlinesS (map prSub subs) . prOneSLF main
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where prSub (n,s) = showString "SUBLAT=" . shows n
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. nl . prOneSLF s . showString "." . nl
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prSLF :: SLF -> ShowS
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prSLF (SLF { slfNodes = ns, slfEdges = es})
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prSLF slf = {- showString "VERSION=1.0" . nl . -} prOneSLF slf
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prOneSLF :: SLF -> ShowS
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prOneSLF (SLF { slfNodes = ns, slfEdges = es})
|
||||
= header . unlinesS (map prNode ns) . nl . unlinesS (map prEdge es) . nl
|
||||
where
|
||||
header = showString "VERSION=1.0" . nl
|
||||
. prFields [("N",show (length ns)),("L", show (length es))] . nl
|
||||
prNode n = prFields $ [("I",show (nId n)),("W",showWord (nWord n))]
|
||||
++ maybe [] (\t -> [("s",t)]) (nTag n)
|
||||
header = prFields [("N",show (length ns)),("L", show (length es))] . nl
|
||||
prNode (SLFNode { nId = i, nWord = w, nTag = t })
|
||||
= prFields $ [("I",show i),("W",showWord w)]
|
||||
++ maybe [] (\t -> [("s",t)]) t
|
||||
prNode (SLFSubLat { nId = i, nLat = l })
|
||||
= prFields [("I",show i),("L",show l)]
|
||||
prEdge e = prFields [("J",show (eId e)),("S",show (eStart e)),("E",show (eEnd e))]
|
||||
|
||||
-- | Check if a word should not correspond to a word in the SLF file.
|
||||
|
||||
@@ -120,6 +120,9 @@ isDirectLeftRecursive _ = False
|
||||
-- * CFG rule utilities
|
||||
--
|
||||
|
||||
allCats :: CFRules -> [Cat_]
|
||||
allCats = map fst
|
||||
|
||||
catRules :: CFRules -> Cat_ -> [CFRule_]
|
||||
catRules rs c = fromMaybe [] (lookup c rs)
|
||||
|
||||
|
||||
@@ -22,13 +22,14 @@ import GF.Speech.PrSLF
|
||||
import Speech.ATKRec
|
||||
|
||||
import Control.Monad
|
||||
import Data.Maybe
|
||||
import Data.IORef
|
||||
import System.Environment
|
||||
import System.IO
|
||||
import System.IO.Unsafe
|
||||
|
||||
data ATKLang = ATKLang {
|
||||
cmndef :: FilePath,
|
||||
cmndef :: Maybe FilePath,
|
||||
hmmlist :: FilePath,
|
||||
mmf0 :: FilePath,
|
||||
mmf1 :: FilePath,
|
||||
@@ -50,11 +51,19 @@ getLanguage l =
|
||||
atk_home <- getEnv_ "ATK_HOME" atk_home_error
|
||||
let res = atk_home ++ "/Resources"
|
||||
return $ ATKLang {
|
||||
cmndef = res ++ "/UK_SI_ZMFCC/cepmean",
|
||||
cmndef = Just $ res ++ "/UK_SI_ZMFCC/cepmean",
|
||||
hmmlist = res ++ "/UK_SI_ZMFCC/hmmlistbg",
|
||||
mmf0 = res ++ "/UK_SI_ZMFCC/WI4",
|
||||
mmf1 = res ++ "/UK_SI_ZMFCC/BGHMM2",
|
||||
dict = res ++ "/beep.dct" }
|
||||
"sv_SE" -> do
|
||||
let res = "/home/bjorn/projects/atkswe/stoneage-swe"
|
||||
return $ ATKLang {
|
||||
cmndef = Nothing,
|
||||
hmmlist = res ++ "/triphones1",
|
||||
mmf0 = res ++ "/hmm12/macros",
|
||||
mmf1 = res ++ "/hmm12/hmmdefs",
|
||||
dict = res ++ "/dict" }
|
||||
_ -> fail $ "ATKSpeechInput: language " ++ l ++ " not supported"
|
||||
|
||||
-- | List of the languages for which we have already loaded the HMM
|
||||
@@ -71,8 +80,8 @@ initATK language =
|
||||
when (null ls) $ do
|
||||
config <- getEnv_ "GF_ATK_CFG" gf_atk_cfg_error
|
||||
hPutStrLn stderr $ "Initializing ATK..."
|
||||
-- FIXME: CMNDEFAULT should be set in the per-language setup
|
||||
initialize (Just config) [("HPARM:CMNDEFAULT",cmndef l)]
|
||||
let ps = map ((,) "HPARM:CMNDEFAULT") (maybeToList (cmndef l))
|
||||
initialize (Just config) ps
|
||||
when (language `notElem` ls) $
|
||||
do
|
||||
let hmmName = "hmm_" ++ language
|
||||
@@ -88,7 +97,7 @@ recognizeSpeech name opts cfg =
|
||||
do
|
||||
let slf = slfPrinter name opts cfg
|
||||
n = prIdent name
|
||||
language = "en_UK"
|
||||
language = "sv_SE"
|
||||
hmmName = "hmm_" ++ language
|
||||
dictName = "dict_" ++ language
|
||||
slfName = "gram_" ++ n
|
||||
|
||||
@@ -16,6 +16,7 @@ module GF.Visualization.Graphviz (
|
||||
Graph(..), GraphType(..),
|
||||
Node(..), Edge(..),
|
||||
Attr,
|
||||
addSubGraphs,
|
||||
prGraphviz
|
||||
) where
|
||||
|
||||
@@ -23,7 +24,8 @@ import Data.Char
|
||||
|
||||
import GF.Data.Utilities
|
||||
|
||||
data Graph = Graph GraphType [Attr] [Node] [Edge]
|
||||
-- | Graph type, graph ID, graph attirbutes, graph nodes, graph edges, subgraphs
|
||||
data Graph = Graph GraphType String [Attr] [Node] [Edge] [Graph]
|
||||
deriving (Show)
|
||||
|
||||
data GraphType = Directed | Undirected
|
||||
@@ -37,13 +39,31 @@ data Edge = Edge String String [Attr]
|
||||
|
||||
type Attr = (String,String)
|
||||
|
||||
--
|
||||
-- * Graph construction
|
||||
--
|
||||
|
||||
addSubGraphs :: [Graph] -> Graph -> Graph
|
||||
addSubGraphs nss (Graph t i at ns es ss) = Graph t i at ns es (nss++ss)
|
||||
|
||||
--
|
||||
-- * Pretty-printing
|
||||
--
|
||||
|
||||
prGraphviz :: Graph -> String
|
||||
prGraphviz (Graph t at ns es) =
|
||||
unlines $ [graphtype t ++ " {"]
|
||||
++ map (++";") (map prAttr at
|
||||
++ map prNode ns
|
||||
++ map (prEdge t) es)
|
||||
++ ["}\n"]
|
||||
prGraphviz g@(Graph t i _ _ _ _) =
|
||||
graphtype t ++ " " ++ esc i ++ " {\n" ++ prGraph g ++ "}\n"
|
||||
|
||||
prSubGraph :: Graph -> String
|
||||
prSubGraph g@(Graph _ i _ _ _ _) =
|
||||
"subgraph" ++ " " ++ esc i ++ " {\n" ++ prGraph g ++ "}"
|
||||
|
||||
prGraph :: Graph -> String
|
||||
prGraph (Graph t id at ns es ss) =
|
||||
unlines $ map (++";") (map prAttr at
|
||||
++ map prNode ns
|
||||
++ map (prEdge t) es
|
||||
++ map prSubGraph ss)
|
||||
|
||||
graphtype :: GraphType -> String
|
||||
graphtype Directed = "digraph"
|
||||
|
||||
Reference in New Issue
Block a user