Safe Haskell	Safe-Inferred
Language	Haskell2010

Data.Equality.Graph.Nodes

Contents

E-node
Operator
Node Map

Description

Module defining e-nodes (ENode), the e-node function symbol (Operator), and mappings from e-nodes (NodeMap).

Synopsis

newtype ENode l = Node {
- unNode :: l ClassId
}
children :: Traversable l => ENode l -> [ClassId]
newtype Operator l = Operator {
- unOperator :: l ()
}
operator :: Traversable l => ENode l -> Operator l
newtype NodeMap (l :: Type -> Type) a = NodeMap {
- unNodeMap :: Map (ENode l) a
}
insertNM :: Ord1 l => ENode l -> a -> NodeMap l a -> NodeMap l a
lookupNM :: Ord1 l => ENode l -> NodeMap l a -> Maybe a
deleteNM :: Ord1 l => ENode l -> NodeMap l a -> NodeMap l a
insertLookupNM :: Ord1 l => ENode l -> a -> NodeMap l a -> (Maybe a, NodeMap l a)
foldlWithKeyNM' :: Ord1 l => (b -> ENode l -> a -> b) -> b -> NodeMap l a -> b
foldrWithKeyNM' :: Ord1 l => (ENode l -> a -> b -> b) -> b -> NodeMap l a -> b
sizeNM :: NodeMap l a -> Int
traverseWithKeyNM :: Applicative t => (ENode l -> a -> t b) -> NodeMap l a -> t (NodeMap l b)

E-node

newtype ENode l Source #

An e-node is a function symbol paired with a list of children e-classes.

We define an e-node to be the base functor of some recursive data type parametrized over ClassId, i.e. all recursive fields are rather e-class ids.

Constructors

Node
Fields unNode :: l ClassId

Instances

Instances details

Show1 l => Show (ENode l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods showsPrec :: Int -> ENode l -> ShowS # show :: ENode l -> String # showList :: [ENode l] -> ShowS #
Eq1 l => Eq (ENode l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods (==) :: ENode l -> ENode l -> Bool # (/=) :: ENode l -> ENode l -> Bool #
Ord1 l => Ord (ENode l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods compare :: ENode l -> ENode l -> Ordering # (<) :: ENode l -> ENode l -> Bool # (<=) :: ENode l -> ENode l -> Bool # (>) :: ENode l -> ENode l -> Bool # (>=) :: ENode l -> ENode l -> Bool # max :: ENode l -> ENode l -> ENode l # min :: ENode l -> ENode l -> ENode l #

children :: Traversable l => ENode l -> [ClassId] Source #

Get the children e-class ids of an e-node

Operator

newtype Operator l Source #

An operator is solely the function symbol part of the e-node. Basically, this means children e-classes are ignored.

Constructors

Operator
Fields unOperator :: l ()

Instances

Instances details

Show1 l => Show (Operator l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods showsPrec :: Int -> Operator l -> ShowS # show :: Operator l -> String # showList :: [Operator l] -> ShowS #
Eq1 l => Eq (Operator l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods (==) :: Operator l -> Operator l -> Bool # (/=) :: Operator l -> Operator l -> Bool #
Ord1 l => Ord (Operator l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods compare :: Operator l -> Operator l -> Ordering # (<) :: Operator l -> Operator l -> Bool # (<=) :: Operator l -> Operator l -> Bool # (>) :: Operator l -> Operator l -> Bool # (>=) :: Operator l -> Operator l -> Bool # max :: Operator l -> Operator l -> Operator l # min :: Operator l -> Operator l -> Operator l #

operator :: Traversable l => ENode l -> Operator l Source #

Get the operator (function symbol) of an e-node

Node Map

newtype NodeMap (l :: Type -> Type) a Source #

A mapping from e-nodes of l to a

Constructors

NodeMap
Fields unNodeMap :: Map (ENode l) a

Instances

Instances details

Foldable (NodeMap l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods fold :: Monoid m => NodeMap l m -> m # foldMap :: Monoid m => (a -> m) -> NodeMap l a -> m # foldMap' :: Monoid m => (a -> m) -> NodeMap l a -> m # foldr :: (a -> b -> b) -> b -> NodeMap l a -> b # foldr' :: (a -> b -> b) -> b -> NodeMap l a -> b # foldl :: (b -> a -> b) -> b -> NodeMap l a -> b # foldl' :: (b -> a -> b) -> b -> NodeMap l a -> b # foldr1 :: (a -> a -> a) -> NodeMap l a -> a # foldl1 :: (a -> a -> a) -> NodeMap l a -> a # toList :: NodeMap l a -> [a] # null :: NodeMap l a -> Bool # length :: NodeMap l a -> Int # elem :: Eq a => a -> NodeMap l a -> Bool # maximum :: Ord a => NodeMap l a -> a # minimum :: Ord a => NodeMap l a -> a # sum :: Num a => NodeMap l a -> a # product :: Num a => NodeMap l a -> a #
Traversable (NodeMap l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods traverse :: Applicative f => (a -> f b) -> NodeMap l a -> f (NodeMap l b) # sequenceA :: Applicative f => NodeMap l (f a) -> f (NodeMap l a) # mapM :: Monad m => (a -> m b) -> NodeMap l a -> m (NodeMap l b) # sequence :: Monad m => NodeMap l (m a) -> m (NodeMap l a) #
Functor (NodeMap l) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods fmap :: (a -> b) -> NodeMap l a -> NodeMap l b # (<$) :: a -> NodeMap l b -> NodeMap l a #
Ord1 l => Monoid (NodeMap l a) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods mempty :: NodeMap l a # mappend :: NodeMap l a -> NodeMap l a -> NodeMap l a # mconcat :: [NodeMap l a] -> NodeMap l a #
Ord1 l => Semigroup (NodeMap l a) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods (<>) :: NodeMap l a -> NodeMap l a -> NodeMap l a # sconcat :: NonEmpty (NodeMap l a) -> NodeMap l a # stimes :: Integral b => b -> NodeMap l a -> NodeMap l a #
(Show1 l, Show a) => Show (NodeMap l a) Source #
Instance details Defined in Data.Equality.Graph.Nodes Methods showsPrec :: Int -> NodeMap l a -> ShowS # show :: NodeMap l a -> String # showList :: [NodeMap l a] -> ShowS #

insertNM :: Ord1 l => ENode l -> a -> NodeMap l a -> NodeMap l a Source #

Insert a value given an e-node in a NodeMap

lookupNM :: Ord1 l => ENode l -> NodeMap l a -> Maybe a Source #

Lookup an e-node in a NodeMap

deleteNM :: Ord1 l => ENode l -> NodeMap l a -> NodeMap l a Source #

Delete an e-node in a NodeMap

insertLookupNM :: Ord1 l => ENode l -> a -> NodeMap l a -> (Maybe a, NodeMap l a) Source #

Insert a value and lookup by e-node in a NodeMap

foldlWithKeyNM' :: Ord1 l => (b -> ENode l -> a -> b) -> b -> NodeMap l a -> b Source #

As foldlWithKeyNM' but in a NodeMap

foldrWithKeyNM' :: Ord1 l => (ENode l -> a -> b -> b) -> b -> NodeMap l a -> b Source #

As foldrWithKeyNM' but in a NodeMap

sizeNM :: NodeMap l a -> Int Source #

Get the number of entries in a NodeMap.

This operation takes constant time (O(1))

traverseWithKeyNM :: Applicative t => (ENode l -> a -> t b) -> NodeMap l a -> t (NodeMap l b) Source #

As traverseWithKeyNM but in a NodeMap