{-# LANGUAGE CPP #-} #if !defined(TESTING) && __GLASGOW_HASKELL__ >= 703 {-# LANGUAGE Safe #-} #endif ----------------------------------------------------------------------------- -- | -- Module : Data.Map.Lazy -- Copyright : (c) Daan Leijen 2002 -- (c) Andriy Palamarchuk 2008 -- License : BSD-style -- Maintainer : libraries@haskell.org -- Stability : provisional -- Portability : portable -- -- An efficient implementation of ordered maps from keys to values -- (dictionaries). -- -- API of this module is strict in the keys, but lazy in the values. -- If you need value-strict maps, use 'Data.Map.Strict' instead. -- The 'Map' type itself is shared between the lazy and strict modules, -- meaning that the same 'Map' value can be passed to functions in -- both modules (although that is rarely needed). -- -- These modules are intended to be imported qualified, to avoid name -- clashes with Prelude functions, e.g. -- -- > import qualified Data.Map.Lazy as Map -- -- The implementation of 'Map' is based on /size balanced/ binary trees (or -- trees of /bounded balance/) as described by: -- -- * Stephen Adams, \"/Efficient sets: a balancing act/\", -- Journal of Functional Programming 3(4):553-562, October 1993, -- <http://www.swiss.ai.mit.edu/~adams/BB/>. -- -- * J. Nievergelt and E.M. Reingold, -- \"/Binary search trees of bounded balance/\", -- SIAM journal of computing 2(1), March 1973. -- -- Note that the implementation is /left-biased/ -- the elements of a -- first argument are always preferred to the second, for example in -- 'union' or 'insert'. -- -- Operation comments contain the operation time complexity in -- the Big-O notation (<http://en.wikipedia.org/wiki/Big_O_notation>). ----------------------------------------------------------------------------- module Data.Map.Lazy ( -- * Strictness properties -- $strictness -- * Map type #if !defined(TESTING) Map -- instance Eq,Show,Read #else Map(..) -- instance Eq,Show,Read #endif -- * Operators , (!), (\\) -- * Query , M.null , size , member , notMember , M.lookup , findWithDefault , lookupLT , lookupGT , lookupLE , lookupGE -- * Construction , empty , singleton -- ** Insertion , insert , insertWith , insertWithKey , insertLookupWithKey -- ** Delete\/Update , delete , adjust , adjustWithKey , update , updateWithKey , updateLookupWithKey , alter -- * Combine -- ** Union , union , unionWith , unionWithKey , unions , unionsWith -- ** Difference , difference , differenceWith , differenceWithKey -- ** Intersection , intersection , intersectionWith , intersectionWithKey -- ** Universal combining function , mergeWithKey -- * Traversal -- ** Map , M.map , mapWithKey , traverseWithKey , mapAccum , mapAccumWithKey , mapAccumRWithKey , mapKeys , mapKeysWith , mapKeysMonotonic -- * Folds , M.foldr , M.foldl , foldrWithKey , foldlWithKey -- ** Strict folds , foldr' , foldl' , foldrWithKey' , foldlWithKey' -- * Conversion , elems , keys , assocs , keysSet , fromSet -- ** Lists , toList , fromList , fromListWith , fromListWithKey -- ** Ordered lists , toAscList , toDescList , fromAscList , fromAscListWith , fromAscListWithKey , fromDistinctAscList -- * Filter , M.filter , filterWithKey , partition , partitionWithKey , mapMaybe , mapMaybeWithKey , mapEither , mapEitherWithKey , split , splitLookup -- * Submap , isSubmapOf, isSubmapOfBy , isProperSubmapOf, isProperSubmapOfBy -- * Indexed , lookupIndex , findIndex , elemAt , updateAt , deleteAt -- * Min\/Max , findMin , findMax , deleteMin , deleteMax , deleteFindMin , deleteFindMax , updateMin , updateMax , updateMinWithKey , updateMaxWithKey , minView , maxView , minViewWithKey , maxViewWithKey -- * Debugging , showTree , showTreeWith , valid #if defined(TESTING) -- * Internals , bin , balanced , join , merge #endif ) where import Data.Map.Base as M -- $strictness -- -- This module satisfies the following strictness property: -- -- * Key arguments are evaluated to WHNF -- -- Here are some examples that illustrate the property: -- -- > insertWith (\ new old -> old) undefined v m == undefined -- > insertWith (\ new old -> old) k undefined m == OK -- > delete undefined m == undefined