|
| Data.Graph.Inductive.Query.Monad |
|
|
|
|
| Description |
| Monadic Graph Algorithms
|
|
| Synopsis |
|
| mapFst :: (a -> b) -> (a, c) -> (b, c) | | | mapSnd :: (a -> b) -> (c, a) -> (c, b) | | | (><) :: (a -> b) -> (c -> d) -> (a, c) -> (b, d) | | | orP :: (a -> Bool) -> (b -> Bool) -> (a, b) -> Bool | | | data GT m g a = MGT (m g -> m (a, g)) | | | apply :: GT m g a -> m g -> m (a, g) | | | apply' :: Monad m => GT m g a -> g -> m (a, g) | | | applyWith :: Monad m => (a -> b) -> GT m g a -> m g -> m (b, g) | | | applyWith' :: Monad m => (a -> b) -> GT m g a -> g -> m (b, g) | | | runGT :: Monad m => GT m g a -> m g -> m a | | | condMGT' :: Monad m => (s -> Bool) -> GT m s a -> GT m s a -> GT m s a | | | recMGT' :: Monad m => (s -> Bool) -> GT m s a -> (a -> b -> b) -> b -> GT m s b | | | condMGT :: Monad m => (m s -> m Bool) -> GT m s a -> GT m s a -> GT m s a | | | recMGT :: Monad m => (m s -> m Bool) -> GT m s a -> (a -> b -> b) -> b -> GT m s b | | | getNode :: GraphM m gr => GT m (gr a b) Node | | | getContext :: GraphM m gr => GT m (gr a b) (Context a b) | | | getNodes' :: (Graph gr, GraphM m gr) => GT m (gr a b) [Node] | | | getNodes :: GraphM m gr => GT m (gr a b) [Node] | | | sucGT :: GraphM m gr => Node -> GT m (gr a b) (Maybe [Node]) | | | sucM :: GraphM m gr => Node -> m (gr a b) -> m (Maybe [Node]) | | | graphRec :: GraphM m gr => GT m (gr a b) c -> (c -> d -> d) -> d -> GT m (gr a b) d | | | graphRec' :: (Graph gr, GraphM m gr) => GT m (gr a b) c -> (c -> d -> d) -> d -> GT m (gr a b) d | | | graphUFold :: GraphM m gr => (Context a b -> c -> c) -> c -> GT m (gr a b) c | | | graphNodesM0 :: GraphM m gr => GT m (gr a b) [Node] | | | graphNodesM :: GraphM m gr => GT m (gr a b) [Node] | | | graphNodes :: GraphM m gr => m (gr a b) -> m [Node] | | | graphFilterM :: GraphM m gr => (Context a b -> Bool) -> GT m (gr a b) [Context a b] | | | graphFilter :: GraphM m gr => (Context a b -> Bool) -> m (gr a b) -> m [Context a b] | | | dfsGT :: GraphM m gr => [Node] -> GT m (gr a b) [Node] | | | dfsM :: GraphM m gr => [Node] -> m (gr a b) -> m [Node] | | | dfsM' :: GraphM m gr => m (gr a b) -> m [Node] | | | dffM :: GraphM m gr => [Node] -> GT m (gr a b) [Tree Node] | | | graphDff :: GraphM m gr => [Node] -> m (gr a b) -> m [Tree Node] | | | graphDff' :: GraphM m gr => m (gr a b) -> m [Tree Node] |
|
|
|
| Additional Graph Utilities
|
|
| mapFst :: (a -> b) -> (a, c) -> (b, c) | Source |
|
|
| mapSnd :: (a -> b) -> (c, a) -> (c, b) | Source |
|
|
| (><) :: (a -> b) -> (c -> d) -> (a, c) -> (b, d) | Source |
|
|
|
|
| Graph Transformer Monad
|
|
|
| Constructors | |  Instances | |
|
|
| apply :: GT m g a -> m g -> m (a, g) | Source |
|
|
|
|
| applyWith :: Monad m => (a -> b) -> GT m g a -> m g -> m (b, g) | Source |
|
|
| applyWith' :: Monad m => (a -> b) -> GT m g a -> g -> m (b, g) | Source |
|
|
|
|
|
|
|
|
|
|
|
|
| Graph Computations Based on Graph Monads
|
|
| Monadic Graph Accessing Functions
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Derived Graph Recursion Operators
|
|
| graphRec :: GraphM m gr => GT m (gr a b) c -> (c -> d -> d) -> d -> GT m (gr a b) d | Source |
|
| encapsulates a simple recursion schema on graphs
|
|
|
|
|
|
| Examples: Graph Algorithms as Instances of Recursion Operators
|
|
| Instances of graphRec
|
|
|
|
|
|
|
|
|
|
|
|
| Example: Monadic DFS Algorithm(s)
|
|
|
Monadic graph algorithms are defined in two steps:
- define the (possibly parameterized) graph transformer (e.g., dfsGT)
(2) run the graph transformer (applied to arguments) (e.g., dfsM)
|
|
|
| depth-first search yielding number of nodes
|
|
|
|
|
| depth-first search yielding dfs forest
|
|
|
|
|
|
| Produced by Haddock version 0.9 |
