# Cookbook/Other data structures

### From HaskellWiki

GHC comes with some handy data-structures by default. If you want to use a Map, use Data.Map. For sets, you can use Data.Set. A good way to find efficient data-structures is to take a look at the hierarchical libraries, see Haskell Hierarchical Libraries and scroll down to 'Data'.

## Contents |

## 1 Map

A naive implementation of a map would be using a list of tuples in the form of (key, value). This is used a lot, but has the big disadvantage that most operations take O(n) time.

Using Data.Map we can construct a fast map using this data-structure:

import qualified Data.Map as Map myMap :: Map.Map String Int myMap = Map.fromList [("alice", 111), ("bob", 333), ("douglas", 42)]

We can then do quick lookups:

bobsPhone :: Maybe Int bobsPhone = Map.lookup "bob" myMap

## 2 Set

TODO

## 3 Tree

TODO

## 4 ByteString

TODO

## 5 Arrays

Arrays are generally eschewed in Haskell. However, they are useful if you desperately need constant lookup or update or if you have huge amounts of raw data.

Immutable arrays likebucketByResidual :: Int -> [Int] -> Array Int [Int] bucketByResidual n xs = accumArray (\xs x -> x:xs) [] (0,n-1) [(x `mod` n, x) | x <- xs] Data.Arra.IArray> bucketByResidual 4 [x*x | x <- [1..10]] array (0,3) [(0,[100,64,36,16,4]),(1,[81,49,25,9,1]),(2,[]),(3,[])] Data.Arra.IArray> amap reverse it array (0,3) [(0,[4,16,36,64,100]),(1,[1,9,25,49,81]),(2,[]),(3,[])]

Note that the array can fill itself up in a circular fashion. Useful for dynamic programming. Here is the Edit distance between two strings without array updates.

editDistance :: Eq a => [a] -> [a] -> Int editDistance xs ys = table ! (m,n) where (m,n) = (length xs, length ys) x = array (1,m) (zip [1..] xs) y = array (1,n) (zip [1..] ys) table :: Array (Int,Int) Int table = array bnds [(ij, dist ij) | ij <- range bnds] bnds = ((0,0),(m,n)) dist (0,j) = j dist (i,0) = i dist (i,j) = minimum [table ! (i-1,j) + 1, table ! (i,j-1) + 1, if x ! i == y ! j then table ! (i-1,j-1) else 1 + table ! (i-1,j-1)]

*Note: this example really belongs to Map or Set.*

import Control.Monad.State type Node = Int data Color = White | Grey | Black hasCycle :: Array Node [Node] -> Bool hasCycle graph = runState (mapDfs $ indices g) initSeen where initSeen :: DiffArray Node Color initSeen = listArray (bounds graph) (repeat White) mapDfs = fmap or . mapM dfs dfs node = get >>= \seen -> case (seen ! node) of Black -> return False Grey -> return True -- we found a cycle White -> do modify $ \seen -> seen // [(node,Grey )] found <- mapDfs (graph ! node) modify $ \seen -> seen // [(node,Black)] return found