Copyright	(c) The University of Glasgow 2002
License	BSD-style (see the file libraries/base/LICENSE)
Maintainer	libraries@haskell.org
Stability	experimental
Portability	portable
Safe Haskell	Trustworthy
Language	Haskell98

Data.Tree

Contents

Two-dimensional drawing
Extraction
Building trees

Description

Multi-way trees (aka rose trees) and forests.

Synopsis

Documentation

data Tree a Source

Multi-way trees, also known as rose trees.

Constructors

Node
Fields rootLabel :: a label value subForest :: Forest a zero or more child trees

Instances

Monad Tree Source
Methods (>>=) :: Tree a -> (a -> Tree b) -> Tree b (>>) :: Tree a -> Tree b -> Tree b return :: a -> Tree a fail :: String -> Tree a
Functor Tree Source
Methods fmap :: (a -> b) -> Tree a -> Tree b (<$) :: a -> Tree b -> Tree a
Applicative Tree Source
Methods pure :: a -> Tree a (<>) :: Tree (a -> b) -> Tree a -> Tree b (>) :: Tree a -> Tree b -> Tree b (<*) :: Tree a -> Tree b -> Tree a
Foldable Tree Source
Methods fold :: Monoid m => Tree m -> m foldMap :: Monoid m => (a -> m) -> Tree a -> m foldr :: (a -> b -> b) -> b -> Tree a -> b foldr' :: (a -> b -> b) -> b -> Tree a -> b foldl :: (b -> a -> b) -> b -> Tree a -> b foldl' :: (b -> a -> b) -> b -> Tree a -> b foldr1 :: (a -> a -> a) -> Tree a -> a foldl1 :: (a -> a -> a) -> Tree a -> a toList :: Tree a -> [a] null :: Tree a -> Bool length :: Tree a -> Int elem :: Eq a => a -> Tree a -> Bool maximum :: Ord a => Tree a -> a minimum :: Ord a => Tree a -> a sum :: Num a => Tree a -> a product :: Num a => Tree a -> a
Traversable Tree Source
Methods traverse :: Applicative f => (a -> f b) -> Tree a -> f (Tree b) sequenceA :: Applicative f => Tree (f a) -> f (Tree a) mapM :: Monad m => (a -> m b) -> Tree a -> m (Tree b) sequence :: Monad m => Tree (m a) -> m (Tree a)
Eq a => Eq (Tree a) Source
Methods (==) :: Tree a -> Tree a -> Bool (/=) :: Tree a -> Tree a -> Bool
Data a => Data (Tree a) Source
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Tree a -> c (Tree a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Tree a) toConstr :: Tree a -> Constr dataTypeOf :: Tree a -> DataType dataCast1 :: Typeable (* -> ) t => (forall d. Data d => c (t d)) -> Maybe (c (Tree a)) dataCast2 :: Typeable ( -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Tree a)) gmapT :: (forall b. Data b => b -> b) -> Tree a -> Tree a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Tree a -> r gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Tree a -> r gmapQ :: (forall d. Data d => d -> u) -> Tree a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Tree a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Tree a -> m (Tree a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Tree a -> m (Tree a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Tree a -> m (Tree a)
Read a => Read (Tree a) Source
Methods readsPrec :: Int -> ReadS (Tree a) readList :: ReadS [Tree a] readPrec :: ReadPrec (Tree a) readListPrec :: ReadPrec [Tree a]
Show a => Show (Tree a) Source
Methods showsPrec :: Int -> Tree a -> ShowS show :: Tree a -> String showList :: [Tree a] -> ShowS
NFData a => NFData (Tree a) Source
Methods rnf :: Tree a -> ()

type Forest a = [Tree a] Source

Two-dimensional drawing

drawTree :: Tree String -> String Source

Neat 2-dimensional drawing of a tree.

drawForest :: Forest String -> String Source

Neat 2-dimensional drawing of a forest.

Extraction

flatten :: Tree a -> [a] Source

The elements of a tree in pre-order.

levels :: Tree a -> [[a]] Source

Lists of nodes at each level of the tree.

Building trees

unfoldTree :: (b -> (a, [b])) -> b -> Tree a Source

Build a tree from a seed value

unfoldForest :: (b -> (a, [b])) -> [b] -> Forest a Source

Build a forest from a list of seed values

unfoldTreeM :: Monad m => (b -> m (a, [b])) -> b -> m (Tree a) Source

Monadic tree builder, in depth-first order

unfoldForestM :: Monad m => (b -> m (a, [b])) -> [b] -> m (Forest a) Source

Monadic forest builder, in depth-first order

unfoldTreeM_BF :: Monad m => (b -> m (a, [b])) -> b -> m (Tree a) Source

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.

unfoldForestM_BF :: Monad m => (b -> m (a, [b])) -> [b] -> m (Forest a) Source

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.