X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=Data%2FTree.hs;h=c159a747d08ef4ecd27d5346ac26abc6b45b534d;hb=a2a70b9bf60672c72b35654105402cf21238b6f4;hp=8137f86b001d7fc621fdb3c22be045be8c502c40;hpb=be6a0ddb82f2a2cb61b87f6b3a49e7cfae3b90da;p=haskell-directory.git

diff --git a/Data/Tree.hs b/Data/Tree.hs
index 8137f86..c159a74 100644
--- a/Data/Tree.hs
+++ b/Data/Tree.hs
@@ -28,12 +28,18 @@ module Data.Tree(
 import Prelude
 #endif
 
+import Control.Applicative (Applicative(..), (<$>))
 import Control.Monad
-import Data.Maybe
-import Data.Queue
+import Data.Monoid (Monoid(..))
+import Data.Sequence (Seq, empty, singleton, (<|), (|>), fromList,
+			ViewL(..), ViewR(..), viewl, viewr)
+import Data.Foldable (Foldable(foldMap), toList)
+import Data.Traversable (Traversable(traverse))
 import Data.Typeable
 
-#include "Typeable.h"
+#ifdef __GLASGOW_HASKELL__
+import Data.Generics.Basics (Data)
+#endif
 
 -- | Multi-way trees, also known as /rose trees/.
 data Tree a   = Node {
@@ -41,21 +47,40 @@ data Tree a   = Node {
 		subForest :: Forest a	-- ^ zero or more child trees
 	}
 #ifndef __HADDOCK__
+# ifdef __GLASGOW_HASKELL__
+  deriving (Eq, Read, Show, Data)
+# else
   deriving (Eq, Read, Show)
+# endif
 #else /* __HADDOCK__ (which can't figure these out by itself) */
 instance Eq a => Eq (Tree a)
 instance Read a => Read (Tree a)
 instance Show a => Show (Tree a)
+instance Data a => Data (Tree a)
 #endif
 type Forest a = [Tree a]
 
+#include "Typeable.h"
 INSTANCE_TYPEABLE1(Tree,treeTc,"Tree")
 
 instance Functor Tree where
-  fmap = mapTree
+  fmap f (Node x ts) = Node (f x) (map (fmap f) ts)
+
+instance Applicative Tree where
+  pure x = Node x []
+  Node f tfs <*> tx@(Node x txs) =
+    Node (f x) (map (f <$>) txs ++ map (<*> tx) tfs)
+
+instance Monad Tree where
+  return x = Node x []
+  Node x ts >>= f = Node x' (ts' ++ map (>>= f) ts)
+    where Node x' ts' = f x
+
+instance Traversable Tree where
+  traverse f (Node x ts) = Node <$> f x <*> traverse (traverse f) ts
 
-mapTree              :: (a -> b) -> (Tree a -> Tree b)
-mapTree f (Node x ts) = Node (f x) (map (mapTree f) ts)
+instance Foldable Tree where
+  foldMap f (Node x ts) = f x `mappend` foldMap (foldMap f) ts
 
 -- | Neat 2-dimensional drawing of a tree.
 drawTree :: Tree String -> String
@@ -78,7 +103,7 @@ draw (Node x ts0) = x : drawSubTrees ts0
 -- | The elements of a tree in pre-order.
 flatten :: Tree a -> [a]
 flatten t = squish t []
-  where squish (Node x ts) xs = x:foldr squish xs ts
+  where squish (Node x ts) xs = x:Prelude.foldr squish xs ts
 
 -- | Lists of nodes at each level of the tree.
 levels :: Tree a -> [[a]]
@@ -105,38 +130,37 @@ unfoldTreeM f b = do
 #ifndef __NHC__
 unfoldForestM :: Monad m => (b -> m (a, [b])) -> [b] -> m (Forest a)
 #endif
-unfoldForestM f = mapM (unfoldTreeM f)
+unfoldForestM f = Prelude.mapM (unfoldTreeM f)
 
 -- | Monadic tree builder, in breadth-first order,
 -- using an algorithm adapted from
 -- /Breadth-First Numbering: Lessons from a Small Exercise in Algorithm Design/,
 -- by Chris Okasaki, /ICFP'00/.
 unfoldTreeM_BF :: Monad m => (b -> m (a, [b])) -> b -> m (Tree a)
-unfoldTreeM_BF f b = liftM (fst . fromJust . deQueue) $
-	unfoldForestQ f (listToQueue [b])
+unfoldTreeM_BF f b = liftM getElement $ unfoldForestQ f (singleton b)
+  where getElement xs = case viewl xs of
+		x :< _ -> x
+		EmptyL -> error "unfoldTreeM_BF"
 
 -- | Monadic forest builder, in breadth-first order,
 -- using an algorithm adapted from
 -- /Breadth-First Numbering: Lessons from a Small Exercise in Algorithm Design/,
 -- by Chris Okasaki, /ICFP'00/.
 unfoldForestM_BF :: Monad m => (b -> m (a, [b])) -> [b] -> m (Forest a)
-unfoldForestM_BF f = liftM (reverseOnto []) . unfoldForestQ f . listToQueue
-  where reverseOnto :: [a'] -> Queue a' -> [a']
-	reverseOnto as q = case deQueue q of
-		Nothing -> as
-		Just (a, q') -> reverseOnto (a:as) q'
-
--- takes a queue of seeds
--- produces a queue of trees of the same length, but in the reverse order
-unfoldForestQ :: Monad m => (b -> m (a, [b])) -> Queue b -> m (Queue (Tree a))
-unfoldForestQ f aQ = case deQueue aQ of
-	Nothing -> return emptyQueue
-	Just (a, aQ) -> do
+unfoldForestM_BF f = liftM toList . unfoldForestQ f . fromList
+
+-- takes a sequence (queue) of seeds
+-- produces a sequence (reversed queue) of trees of the same length
+unfoldForestQ :: Monad m => (b -> m (a, [b])) -> Seq b -> m (Seq (Tree a))
+unfoldForestQ f aQ = case viewl aQ of
+	EmptyL -> return empty
+	a :< aQ -> do
 		(b, as) <- f a
-		tQ <- unfoldForestQ f (foldl addToQueue aQ as)
-		let (ts, tQ') = splitOnto [] as tQ
-		return (addToQueue tQ' (Node b ts))
-  where splitOnto :: [a'] -> [b'] -> Queue a' -> ([a'], Queue a')
-	splitOnto as [] q = (as, q)
-	splitOnto as (_:bs) q = case fromJust (deQueue q) of
-		(a, q') -> splitOnto (a:as) bs q'
+		tQ <- unfoldForestQ f (Prelude.foldl (|>) aQ as)
+		let (tQ', ts) = splitOnto [] as tQ
+		return (Node b ts <| tQ')
+  where splitOnto :: [a'] -> [b'] -> Seq a' -> (Seq a', [a'])
+	splitOnto as [] q = (q, as)
+	splitOnto as (_:bs) q = case viewr q of
+		q' :> a -> splitOnto (a:as) bs q'
+		EmptyR -> error "unfoldForestQ"