Safe Haskell | Safe-Infered |
---|

Hash tables, implemented as a structure similar to `Map hash (Map key value)]`

.

What this data structure can also give you is a unique value (a `(hash,Int)`

pair)
for each key, even during building the table: It is guaranteed to be unique
in the past and future lifetime of a single hashtable (that is, one realization
of the world-line), among all the keys appearing in that history.

Set operations (union, intersection) clearly break this principle; this is
resolved by declaring these operations to be *left-biased*, in the sense that
they retain the unique values of the left table (so `union t1 t2`

belongs to
to `t1`

's world-line, but not to `t2`

's one).

If a key is first removed then added back again, it will get a new value.

To be Haskell98 compatible (no multi-param type classes), when constructing a new hash table, we have to support the function computing (or just fetching, if it is cached) the hash value. This function is then stored in the data type.

- data HashTable hash k v
- data Bucket k v = Bucket !Int !(Map k (Leaf v))
- data Leaf v = Leaf !Int v
- getHashValue :: HashTable hash k v -> k -> hash
- unHashTable :: HashTable hash k v -> Map hash (Bucket k v)
- empty :: (Ord hash, Ord k) => (k -> hash) -> HashTable hash k v
- singleton :: (Ord hash, Ord k) => (k -> hash) -> k -> v -> HashTable hash k v
- fromList :: (Ord hash, Ord k) => (k -> hash) -> [(k, v)] -> HashTable hash k v
- toList :: Ord k => HashTable hash k v -> [(k, v)]
- null :: (Ord hash, Ord k) => HashTable hash k v -> Bool
- bag :: (Ord hash, Ord k) => (k -> hash) -> [k] -> HashTable hash k Int
- lookup :: (Ord hash, Ord k) => k -> HashTable hash k v -> Maybe v
- member :: (Ord hash, Ord k) => k -> HashTable hash k v -> Bool
- insert :: (Ord hash, Ord k) => k -> v -> HashTable hash k v -> HashTable hash k v
- insertWith :: (Ord hash, Ord k) => (a -> v) -> (a -> v -> v) -> k -> a -> HashTable hash k v -> HashTable hash k v
- delete :: (Ord hash, Ord k) => k -> HashTable hash k v -> HashTable hash k v
- union :: (Ord hash, Ord k) => HashTable hash k a -> HashTable hash k a -> HashTable hash k a
- unionWith :: (Ord hash, Ord k) => (v -> v -> v) -> HashTable hash k v -> HashTable hash k v -> HashTable hash k v
- unionsWith :: (Ord hash, Ord k) => (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k v
- unionsWith' :: (Ord hash, Ord k) => (k -> hash) -> (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k v
- intersection :: (Ord hash, Ord k) => HashTable hash k a -> HashTable hash k b -> HashTable hash k a
- intersectionWith :: (Ord hash, Ord k) => (a -> b -> c) -> HashTable hash k a -> HashTable hash k b -> HashTable hash k c
- intersectionsWith :: (Ord hash, Ord k) => (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k v
- intersectionsWith' :: (Ord hash, Ord k) => (k -> hash) -> (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k v
- difference :: (Ord hash, Ord k) => HashTable hash k a -> HashTable hash k b -> HashTable hash k a
- differenceWith :: (Ord hash, Ord k) => (a -> b -> Maybe a) -> HashTable hash k a -> HashTable hash k b -> HashTable hash k a
- getUniqueIndex :: (Ord hash, Ord k) => (hash -> Int -> a) -> k -> HashTable hash k v -> Maybe a
- keysWith :: Ord k => (k -> hash -> Int -> a) -> HashTable hash k v -> [a]
- mapWithUniqueIndices :: (Ord hash, Ord k) => (hash -> Int -> a -> b) -> HashTable hash k a -> HashTable hash k b

# Documentation

getHashValue :: HashTable hash k v -> k -> hashSource

unHashTable :: HashTable hash k v -> Map hash (Bucket k v)Source

# Construction and deconstruction

toList :: Ord k => HashTable hash k v -> [(k, v)]Source

Note that the returned list is ordered by hash, *not* by keys like `Map`

!

bag :: (Ord hash, Ord k) => (k -> hash) -> [k] -> HashTable hash k IntSource

Creates a multi-set from a list.

# Membership

# Insertion / deletion

insertWith :: (Ord hash, Ord k) => (a -> v) -> (a -> v -> v) -> k -> a -> HashTable hash k v -> HashTable hash k vSource

# Union

union :: (Ord hash, Ord k) => HashTable hash k a -> HashTable hash k a -> HashTable hash k aSource

union == unionWith const

unionWith :: (Ord hash, Ord k) => (v -> v -> v) -> HashTable hash k v -> HashTable hash k v -> HashTable hash k vSource

This is unsafe in the sense that the two `getHash`

functions
(supplied when the hash tables were created) must agree. The same applies for all the set operations.

It is also left-biased in the sense that the unique indices from the left hashtable are retained,
while the unique indices from the right hashtable are *changed*.

unionsWith :: (Ord hash, Ord k) => (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k vSource

This is unsafe both in the above sense and also that it does not accepts the empty list (for the same reason). The result belongs to the world-line of the first table.

unionsWith' :: (Ord hash, Ord k) => (k -> hash) -> (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k vSource

This one accepts the empty list. The empty imput creates a new world-line.

# Intersection

intersection :: (Ord hash, Ord k) => HashTable hash k a -> HashTable hash k b -> HashTable hash k aSource

intersection == intersectionWith const

intersectionWith :: (Ord hash, Ord k) => (a -> b -> c) -> HashTable hash k a -> HashTable hash k b -> HashTable hash k cSource

intersectionsWith :: (Ord hash, Ord k) => (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k vSource

intersectionsWith' :: (Ord hash, Ord k) => (k -> hash) -> (v -> v -> v) -> [HashTable hash k v] -> HashTable hash k vSource

# Difference

difference :: (Ord hash, Ord k) => HashTable hash k a -> HashTable hash k b -> HashTable hash k aSource

differenceWith :: (Ord hash, Ord k) => (a -> b -> Maybe a) -> HashTable hash k a -> HashTable hash k b -> HashTable hash k aSource

# Unique indices

getUniqueIndex :: (Ord hash, Ord k) => (hash -> Int -> a) -> k -> HashTable hash k v -> Maybe aSource

Look up a unique index, in the form of a `(hash,Int)`

pair, for any key.
If the user-supplied function is *injective*, then the result is guaranteed to be uniquely
associated to the given key in the past and future history of this table (but of
course not unique among different future histories).