Copyright	(c) Luke Palmer 2010
License	BSD3
Maintainer	Luke Palmer <lrpalmer@gmail.com>
Stability	experimental
Portability	Haskell 2010
Safe Haskell	Safe-Inferred
Language	Haskell2010

Data.IntTrie

Description

Provides a minimal infinite, lazy trie for integral types. It intentionally leaves out ideas such as delete and emptiness so that it can be used lazily, eg. as the target of an infinite foldr. Essentially its purpose is to be an efficient implementation of a function from integral type, given point-at-a-time modifications.

Synopsis

data IntTrie a
identity :: (Num a, Bits a) => IntTrie a
apply :: (Ord b, Num b, Bits b) => IntTrie a -> b -> a
modify :: (Ord b, Num b, Bits b) => b -> (a -> a) -> IntTrie a -> IntTrie a
modify' :: (Ord b, Num b, Bits b) => b -> (a -> a) -> IntTrie a -> IntTrie a
overwrite :: (Ord b, Num b, Bits b) => b -> a -> IntTrie a -> IntTrie a
mirror :: IntTrie a -> IntTrie a
modifyAscList :: (Ord b, Num b, Bits b) => [(b, a -> a)] -> IntTrie a -> IntTrie a
modifyDescList :: (Ord b, Num b, Bits b) => [(b, a -> a)] -> IntTrie a -> IntTrie a

Documentation

data IntTrie a Source #

A trie from integers to values of type a.

Semantics: [[IntTrie a]] = Integer -> a

Instances

Instances details

Applicative IntTrie Source #
Instance details Defined in Data.IntTrie Methods pure :: a -> IntTrie a (<>) :: IntTrie (a -> b) -> IntTrie a -> IntTrie b liftA2 :: (a -> b -> c) -> IntTrie a -> IntTrie b -> IntTrie c (>) :: IntTrie a -> IntTrie b -> IntTrie b (<*) :: IntTrie a -> IntTrie b -> IntTrie a
Functor IntTrie Source #
Instance details Defined in Data.IntTrie Methods fmap :: (a -> b) -> IntTrie a -> IntTrie b (<$) :: a -> IntTrie b -> IntTrie a
Monoid a => Monoid (IntTrie a) Source #
Instance details Defined in Data.IntTrie Methods mempty :: IntTrie a mappend :: IntTrie a -> IntTrie a -> IntTrie a mconcat :: [IntTrie a] -> IntTrie a
Semigroup a => Semigroup (IntTrie a) Source #
Instance details Defined in Data.IntTrie Methods (<>) :: IntTrie a -> IntTrie a -> IntTrie a sconcat :: NonEmpty (IntTrie a) -> IntTrie a stimes :: Integral b => b -> IntTrie a -> IntTrie a

identity :: (Num a, Bits a) => IntTrie a Source #

The identity trie.

apply identity = id

apply :: (Ord b, Num b, Bits b) => IntTrie a -> b -> a Source #

Apply the trie to an argument. This is the semantic map.

modify :: (Ord b, Num b, Bits b) => b -> (a -> a) -> IntTrie a -> IntTrie a Source #

Modify the function at one point

apply (modify x f t) i | i == x = f (apply t i)
                       | otherwise = apply t i

modify' :: (Ord b, Num b, Bits b) => b -> (a -> a) -> IntTrie a -> IntTrie a Source #

Modify the function at one point (strict version)

overwrite :: (Ord b, Num b, Bits b) => b -> a -> IntTrie a -> IntTrie a Source #

Overwrite the function at one point

overwrite i x = modify i (const x)

mirror :: IntTrie a -> IntTrie a Source #

Negate the domain of the function

apply (mirror t) i = apply t (-i)
mirror . mirror = id

modifyAscList :: (Ord b, Num b, Bits b) => [(b, a -> a)] -> IntTrie a -> IntTrie a Source #

Modify the function at a (potentially infinite) list of points in ascending order

modifyAscList [(i0, f0)..(iN, fN)] = modify i0 f0 . ... . modify iN fN

modifyDescList :: (Ord b, Num b, Bits b) => [(b, a -> a)] -> IntTrie a -> IntTrie a Source #

Modify the function at a (potentially infinite) list of points in descending order