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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Data.HashMap</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
window.onload = function () {pageLoad();setSynopsis("mini_Data-HashMap.html");};
//]]>
</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Data-HashMap.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">hashmap-1.3.0.1: Persistent containers Map and Set based on hashing.</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Portability</th><td>portable</td></tr><tr><th>Stability</th><td>provisional</td></tr><tr><th>Maintainer</th><td>fox@ucw.cz</td></tr><tr><th>Safe Haskell</th><td>Safe-Inferred</td></tr></table><p class="caption">Data.HashMap</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">Operators
</a></li><li><a href="#g:2">Query
</a></li><li><a href="#g:3">Construction
</a><ul><li><a href="#g:4">Insertion
</a></li><li><a href="#g:5">Delete/Update
</a></li></ul></li><li><a href="#g:6">Combine
</a><ul><li><a href="#g:7">Union
</a></li><li><a href="#g:8">Difference
</a></li><li><a href="#g:9">Intersection
</a></li></ul></li><li><a href="#g:10">Traversal
</a><ul><li><a href="#g:11">Map
</a></li><li><a href="#g:12">Fold
</a></li></ul></li><li><a href="#g:13">Conversion
</a><ul><li><a href="#g:14">Lists
</a></li></ul></li><li><a href="#g:15">Filter
</a></li><li><a href="#g:16">Submap
</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc"><p>Persistent <code><a href="Data-HashMap.html#t:Map">Map</a></code> based on hashing, which is defined as
</p><pre>
   data <code><a href="Data-HashMap.html#t:Map">Map</a></code> k v = <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-IntMap.html#t:IntMap">IntMap</a></code> (Some k v)
</pre><p>is an <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-IntMap.html#t:IntMap">IntMap</a></code> indexed by hash values of keys,
 containing a value of <code>Some e</code>. That contains either one
 <code>(<code>k</code>, <code>v</code>)</code> pair or a <code><code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-Map.html#t:Map">Map</a></code> k v</code> with keys of the same hash values.
</p><p>The interface of a <code><a href="Data-HashMap.html#t:Map">Map</a></code> is a suitable subset of <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-IntMap.html#t:IntMap">IntMap</a></code>
 and can be used as a drop-in replacement of <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-Map.html#t:Map">Map</a></code>.
</p><p>The complexity of operations is determined by the complexities of
 <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-IntMap.html#t:IntMap">IntMap</a></code> and <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-Map.html#t:Map">Map</a></code> operations. See the sources of
 <code><a href="Data-HashMap.html#t:Map">Map</a></code> to see which operations from <code>containers</code> package are used.
</p></div></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">data</span>  <a href="#t:Map">Map</a> k v</li><li class="src short"><span class="keyword">type</span> <a href="#t:HashMap">HashMap</a> k v = <a href="Data-HashMap.html#t:Map">Map</a> k v</li><li class="src short"><a href="#v:-33-">(!)</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; k -&gt; a</li><li class="src short"><a href="#v:-92--92-">(\\)</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:null">null</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:size">size</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Int.html#t:Int">Int</a></li><li class="src short"><a href="#v:member">member</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:notMember">notMember</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:lookup">lookup</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a</li><li class="src short"><a href="#v:findWithDefault">findWithDefault</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; a -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; a</li><li class="src short"><a href="#v:empty">empty</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:singleton">singleton</a> :: <a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k =&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:insert">insert</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:insertWith">insertWith</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; a -&gt; a) -&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:insertWithKey">insertWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:insertLookupWithKey">insertLookupWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a, <a href="Data-HashMap.html#t:Map">Map</a> k a)</li><li class="src short"><a href="#v:delete">delete</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:adjust">adjust</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:adjustWithKey">adjustWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:update">update</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:updateWithKey">updateWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:updateLookupWithKey">updateLookupWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a, <a href="Data-HashMap.html#t:Map">Map</a> k a)</li><li class="src short"><a href="#v:alter">alter</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:union">union</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:unionWith">unionWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; a -&gt; a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:unionWithKey">unionWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:unions">unions</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; [<a href="Data-HashMap.html#t:Map">Map</a> k a] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:unionsWith">unionsWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; a -&gt; a) -&gt; [<a href="Data-HashMap.html#t:Map">Map</a> k a] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:difference">difference</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:differenceWith">differenceWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:differenceWithKey">differenceWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:intersection">intersection</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:intersectionWith">intersectionWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k c</li><li class="src short"><a href="#v:intersectionWithKey">intersectionWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; b -&gt; c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k c</li><li class="src short"><a href="#v:map">map</a> ::  (a -&gt; b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b</li><li class="src short"><a href="#v:mapWithKey">mapWithKey</a> ::  (k -&gt; a -&gt; b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b</li><li class="src short"><a href="#v:mapAccum">mapAccum</a> ::  (a -&gt; b -&gt; (a, c)) -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; (a, <a href="Data-HashMap.html#t:Map">Map</a> k c)</li><li class="src short"><a href="#v:mapAccumWithKey">mapAccumWithKey</a> ::  (a -&gt; k -&gt; b -&gt; (a, c)) -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; (a, <a href="Data-HashMap.html#t:Map">Map</a> k c)</li><li class="src short"><a href="#v:fold">fold</a> ::  (a -&gt; b -&gt; b) -&gt; b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; b</li><li class="src short"><a href="#v:foldWithKey">foldWithKey</a> ::  (k -&gt; a -&gt; b -&gt; b) -&gt; b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; b</li><li class="src short"><a href="#v:elems">elems</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [a]</li><li class="src short"><a href="#v:keys">keys</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [k]</li><li class="src short"><a href="#v:keysSet">keysSet</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-Set.html#t:Set">Set</a> k</li><li class="src short"><a href="#v:assocs">assocs</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [(k, a)]</li><li class="src short"><a href="#v:toList">toList</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [(k, a)]</li><li class="src short"><a href="#v:fromList">fromList</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; [(k, a)] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:fromListWith">fromListWith</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; a -&gt; a) -&gt; [(k, a)] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:fromListWithKey">fromListWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; [(k, a)] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:filter">filter</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:filterWithKey">filterWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a</li><li class="src short"><a href="#v:partition">partition</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k a, <a href="Data-HashMap.html#t:Map">Map</a> k a)</li><li class="src short"><a href="#v:partitionWithKey">partitionWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k a, <a href="Data-HashMap.html#t:Map">Map</a> k a)</li><li class="src short"><a href="#v:mapMaybe">mapMaybe</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b</li><li class="src short"><a href="#v:mapMaybeWithKey">mapMaybeWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b</li><li class="src short"><a href="#v:mapEither">mapEither</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#t:Either">Either</a> b c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k b, <a href="Data-HashMap.html#t:Map">Map</a> k c)</li><li class="src short"><a href="#v:mapEitherWithKey">mapEitherWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#t:Either">Either</a> b c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k b, <a href="Data-HashMap.html#t:Map">Map</a> k c)</li><li class="src short"><a href="#v:isSubmapOf">isSubmapOf</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a) =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:isSubmapOfBy">isSubmapOfBy</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:isProperSubmapOf">isProperSubmapOf</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a) =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:isProperSubmapOfBy">isProperSubmapOfBy</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span>  <a name="t:Map" class="def">Map</a> k v <a href="src/Data-HashMap.html#Map" class="link">Source</a></p><div class="doc"><p>The abstract type of a <code>Map</code>. Its interface is a suitable
 subset of <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-IntMap.html#t:IntMap">IntMap</a></code>.
</p></div><div class="subs instances"><p id="control.i:Map" class="caption collapser" onclick="toggleSection('i:Map')">Instances</p><div id="section.i:Map" class="show"><table><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Typeable-Internal.html#t:Typeable2">Typeable2</a> <a href="Data-HashMap.html#t:Map">Map</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Control-Monad.html#t:Functor">Functor</a> (<a href="Data-HashMap.html#t:Map">Map</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Foldable.html#t:Foldable">Foldable</a> (<a href="Data-HashMap.html#t:Map">Map</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Traversable.html#t:Traversable">Traversable</a> (<a href="Data-HashMap.html#t:Map">Map</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> v) =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> (<a href="Data-HashMap.html#t:Map">Map</a> k v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> k, <a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> a) =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> (<a href="Data-HashMap.html#t:Map">Map</a> k a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> v) =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> (<a href="Data-HashMap.html#t:Map">Map</a> k v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> k, <a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> a) =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> (<a href="Data-HashMap.html#t:Map">Map</a> k a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> a) =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> (<a href="Data-HashMap.html#t:Map">Map</a> k a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Monoid.html#t:Monoid">Monoid</a> (<a href="Data-HashMap.html#t:Map">Map</a> k a)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="/usr/share/doc/ghc-doc/html/libraries/deepseq-1.3.0.1/Control-DeepSeq.html#t:NFData">NFData</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/deepseq-1.3.0.1/Control-DeepSeq.html#t:NFData">NFData</a> v) =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/deepseq-1.3.0.1/Control-DeepSeq.html#t:NFData">NFData</a> (<a href="Data-HashMap.html#t:Map">Map</a> k v)</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">type</span> <a name="t:HashMap" class="def">HashMap</a> k v = <a href="Data-HashMap.html#t:Map">Map</a> k v<a href="src/Data-HashMap.html#HashMap" class="link">Source</a></p><div class="doc"><div class="warning"><p>Deprecated: HashMap is deprecated. Please use Map instead.
</p></div><p>The <code>HashMap</code> is a type synonym for <code>Map</code> for backward compatibility.
 It is deprecated and will be removed in furture releases.
</p></div></div><h1 id="g:1">Operators
</h1><div class="top"><p class="src"><a name="v:-33-" class="def">(!)</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; k -&gt; a<a href="src/Data-HashMap.html#%21" class="link">Source</a></p><div class="doc"><p>Find the value at a key.
 Calls <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#v:error">error</a></code> when the element can not be found.
</p></div></div><div class="top"><p class="src"><a name="v:-92--92-" class="def">(\\)</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#%5C%5C" class="link">Source</a></p><div class="doc"><p>Same as <code><a href="Data-HashMap.html#v:difference">difference</a></code>.
</p></div></div><h1 id="g:2">Query
</h1><div class="top"><p class="src"><a name="v:null" class="def">null</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#null" class="link">Source</a></p><div class="doc"><p>Is the map empty?
</p></div></div><div class="top"><p class="src"><a name="v:size" class="def">size</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Int.html#t:Int">Int</a><a href="src/Data-HashMap.html#size" class="link">Source</a></p><div class="doc"><p>Number of elements in the map.
</p></div></div><div class="top"><p class="src"><a name="v:member" class="def">member</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#member" class="link">Source</a></p><div class="doc"><p>Is the key a member of the map?
</p></div></div><div class="top"><p class="src"><a name="v:notMember" class="def">notMember</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#notMember" class="link">Source</a></p><div class="doc"><p>Is the key not a member of the map?
</p></div></div><div class="top"><p class="src"><a name="v:lookup" class="def">lookup</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a<a href="src/Data-HashMap.html#lookup" class="link">Source</a></p><div class="doc"><p>Lookup the value at a key in the map.
</p></div></div><div class="top"><p class="src"><a name="v:findWithDefault" class="def">findWithDefault</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; a -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; a<a href="src/Data-HashMap.html#findWithDefault" class="link">Source</a></p><div class="doc"><p>The expression <code>(<code><a href="Data-HashMap.html#v:findWithDefault">findWithDefault</a></code> def k map)</code> returns the value at key
 <code>k</code> or returns <code>def</code> when the key is not an element of the map.
</p></div></div><h1 id="g:3">Construction
</h1><div class="top"><p class="src"><a name="v:empty" class="def">empty</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#empty" class="link">Source</a></p><div class="doc"><p>The empty map.
</p></div></div><div class="top"><p class="src"><a name="v:singleton" class="def">singleton</a> :: <a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k =&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#singleton" class="link">Source</a></p><div class="doc"><p>A map of one element.
</p></div></div><h2 id="g:4">Insertion
</h2><div class="top"><p class="src"><a name="v:insert" class="def">insert</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#insert" class="link">Source</a></p><div class="doc"><p>Insert a new key/value pair in the map.  If the key is already present in
 the map, the associated value is replaced with the supplied value, i.e.
 <code><a href="Data-HashMap.html#v:insert">insert</a></code> is equivalent to <code><code><a href="Data-HashMap.html#v:insertWith">insertWith</a></code> <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#v:const">const</a></code></code>.
</p></div></div><div class="top"><p class="src"><a name="v:insertWith" class="def">insertWith</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; a -&gt; a) -&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#insertWith" class="link">Source</a></p><div class="doc"><p>Insert with a combining function.  <code><code><a href="Data-HashMap.html#v:insertWith">insertWith</a></code> f key value mp</code> will
 insert the pair (key, value) into <code>mp</code> if key does not exist in the map. If
 the key does exist, the function will insert <code>f new_value old_value</code>.
</p></div></div><div class="top"><p class="src"><a name="v:insertWithKey" class="def">insertWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#insertWithKey" class="link">Source</a></p><div class="doc"><p>Insert with a combining function.  <code><code><a href="Data-HashMap.html#v:insertWithKey">insertWithKey</a></code> f key value mp</code> will
 insert the pair (key, value) into <code>mp</code> if key does not exist in the map. If
 the key does exist, the function will insert <code>f key new_value old_value</code>.
</p></div></div><div class="top"><p class="src"><a name="v:insertLookupWithKey" class="def">insertLookupWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; k -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a, <a href="Data-HashMap.html#t:Map">Map</a> k a)<a href="src/Data-HashMap.html#insertLookupWithKey" class="link">Source</a></p><div class="doc"><p>The expression (<code><code><a href="Data-HashMap.html#v:insertLookupWithKey">insertLookupWithKey</a></code> f k x map</code>) is a pair where the
 first element is equal to (<code><code><a href="Data-HashMap.html#v:lookup">lookup</a></code> k map</code>) and the second element equal to
 (<code><code><a href="Data-HashMap.html#v:insertWithKey">insertWithKey</a></code> f k x map</code>).
</p></div></div><h2 id="g:5">Delete/Update
</h2><div class="top"><p class="src"><a name="v:delete" class="def">delete</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#delete" class="link">Source</a></p><div class="doc"><p>Delete a key and its value from the map. When the key is not
 a member of the map, the original map is returned.
</p></div></div><div class="top"><p class="src"><a name="v:adjust" class="def">adjust</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#adjust" class="link">Source</a></p><div class="doc"><p>Adjust a value at a specific key. When the key is not a member of the map,
 the original map is returned.
</p></div></div><div class="top"><p class="src"><a name="v:adjustWithKey" class="def">adjustWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#adjustWithKey" class="link">Source</a></p><div class="doc"><p>Adjust a value at a specific key. When the key is not a member of the map,
 the original map is returned.
</p></div></div><div class="top"><p class="src"><a name="v:update" class="def">update</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#update" class="link">Source</a></p><div class="doc"><p>The expression (<code><code><a href="Data-HashMap.html#v:update">update</a></code> f k map</code>) updates the value <code>x</code> at <code>k</code> (if it is
 in the map). If (<code>f x</code>) is <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Nothing">Nothing</a></code>, the element is deleted. If it is
 (<code><code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Just">Just</a></code> y</code>), the key <code>k</code> is bound to the new value <code>y</code>.
</p></div></div><div class="top"><p class="src"><a name="v:updateWithKey" class="def">updateWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#updateWithKey" class="link">Source</a></p><div class="doc"><p>The expression (<code><code><a href="Data-HashMap.html#v:update">update</a></code> f k map</code>) updates the value <code>x</code> at <code>k</code> (if it is
 in the map). If (<code>f k x</code>) is <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Nothing">Nothing</a></code>, the element is deleted. If it is
 (<code><code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Just">Just</a></code> y</code>), the key <code>k</code> is bound to the new value <code>y</code>.
</p></div></div><div class="top"><p class="src"><a name="v:updateLookupWithKey" class="def">updateLookupWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a, <a href="Data-HashMap.html#t:Map">Map</a> k a)<a href="src/Data-HashMap.html#updateLookupWithKey" class="link">Source</a></p><div class="doc"><p>Lookup and update.  The function returns original value, if it is updated.
 This is different behavior than <code><a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-Map.html#t:updateLookupWithKey">updateLookupWithKey</a></code>.  Returns the
 original key value if the map entry is deleted.
</p></div></div><div class="top"><p class="src"><a name="v:alter" class="def">alter</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; k -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#alter" class="link">Source</a></p><div class="doc"><p>The expression (<code><code><a href="Data-HashMap.html#v:alter">alter</a></code> f k map</code>) alters the value <code>x</code> at <code>k</code>, or absence
 thereof.  <code><a href="Data-HashMap.html#v:alter">alter</a></code> can be used to insert, delete, or update a value in an
 <code><a href="Data-HashMap.html#t:Map">Map</a></code>.
</p></div></div><h1 id="g:6">Combine
</h1><h2 id="g:7">Union
</h2><div class="top"><p class="src"><a name="v:union" class="def">union</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#union" class="link">Source</a></p><div class="doc"><p>The (left-biased) union of two maps.
 It prefers the first map when duplicate keys are encountered,
 i.e. (<code><code><a href="Data-HashMap.html#v:union">union</a></code> == <code><a href="Data-HashMap.html#v:unionWith">unionWith</a></code> <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#v:const">const</a></code></code>).
</p></div></div><div class="top"><p class="src"><a name="v:unionWith" class="def">unionWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; a -&gt; a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#unionWith" class="link">Source</a></p><div class="doc"><p>The union with a combining function.
</p></div></div><div class="top"><p class="src"><a name="v:unionWithKey" class="def">unionWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#unionWithKey" class="link">Source</a></p><div class="doc"><p>The union with a combining function.
</p></div></div><div class="top"><p class="src"><a name="v:unions" class="def">unions</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; [<a href="Data-HashMap.html#t:Map">Map</a> k a] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#unions" class="link">Source</a></p><div class="doc"><p>The union of a list of maps.
</p></div></div><div class="top"><p class="src"><a name="v:unionsWith" class="def">unionsWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; a -&gt; a) -&gt; [<a href="Data-HashMap.html#t:Map">Map</a> k a] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#unionsWith" class="link">Source</a></p><div class="doc"><p>The union of a list of maps, with a combining operation.
</p></div></div><h2 id="g:8">Difference
</h2><div class="top"><p class="src"><a name="v:difference" class="def">difference</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#difference" class="link">Source</a></p><div class="doc"><p>Difference between two maps (based on keys).
</p></div></div><div class="top"><p class="src"><a name="v:differenceWith" class="def">differenceWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#differenceWith" class="link">Source</a></p><div class="doc"><p>Difference with a combining function.
</p></div></div><div class="top"><p class="src"><a name="v:differenceWithKey" class="def">differenceWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> a) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#differenceWithKey" class="link">Source</a></p><div class="doc"><p>Difference with a combining function. When two equal keys are
 encountered, the combining function is applied to the key and both values.
 If it returns <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Nothing">Nothing</a></code>, the element is discarded (proper set difference).
 If it returns (<code><code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Just">Just</a></code> y</code>), the element is updated with a new value <code>y</code>.
</p></div></div><h2 id="g:9">Intersection
</h2><div class="top"><p class="src"><a name="v:intersection" class="def">intersection</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#intersection" class="link">Source</a></p><div class="doc"><p>The (left-biased) intersection of two maps (based on keys).
</p></div></div><div class="top"><p class="src"><a name="v:intersectionWith" class="def">intersectionWith</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k c<a href="src/Data-HashMap.html#intersectionWith" class="link">Source</a></p><div class="doc"><p>The intersection with a combining function.
</p></div></div><div class="top"><p class="src"><a name="v:intersectionWithKey" class="def">intersectionWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; b -&gt; c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k c<a href="src/Data-HashMap.html#intersectionWithKey" class="link">Source</a></p><div class="doc"><p>The intersection with a combining function.
</p></div></div><h1 id="g:10">Traversal
</h1><h2 id="g:11">Map
</h2><div class="top"><p class="src"><a name="v:map" class="def">map</a> ::  (a -&gt; b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b<a href="src/Data-HashMap.html#map" class="link">Source</a></p><div class="doc"><p>Map a function over all values in the map.
</p></div></div><div class="top"><p class="src"><a name="v:mapWithKey" class="def">mapWithKey</a> ::  (k -&gt; a -&gt; b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b<a href="src/Data-HashMap.html#mapWithKey" class="link">Source</a></p><div class="doc"><p>Map a function over all values in the map.
</p></div></div><div class="top"><p class="src"><a name="v:mapAccum" class="def">mapAccum</a> ::  (a -&gt; b -&gt; (a, c)) -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; (a, <a href="Data-HashMap.html#t:Map">Map</a> k c)<a href="src/Data-HashMap.html#mapAccum" class="link">Source</a></p><div class="doc"><p>The function <code><code><a href="Data-HashMap.html#v:mapAccum">mapAccum</a></code></code> threads an accumulating argument through the map
 in unspecified order of keys.
</p></div></div><div class="top"><p class="src"><a name="v:mapAccumWithKey" class="def">mapAccumWithKey</a> ::  (a -&gt; k -&gt; b -&gt; (a, c)) -&gt; a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; (a, <a href="Data-HashMap.html#t:Map">Map</a> k c)<a href="src/Data-HashMap.html#mapAccumWithKey" class="link">Source</a></p><div class="doc"><p>The function <code><code><a href="Data-HashMap.html#v:mapAccumWithKey">mapAccumWithKey</a></code></code> threads an accumulating argument through
 the map in unspecified order of keys.
</p></div></div><h2 id="g:12">Fold
</h2><div class="top"><p class="src"><a name="v:fold" class="def">fold</a> ::  (a -&gt; b -&gt; b) -&gt; b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; b<a href="src/Data-HashMap.html#fold" class="link">Source</a></p><div class="doc"><p>Fold the values in the map, such that <code><code><a href="Data-HashMap.html#v:fold">fold</a></code> f z == <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-List.html#v:foldr">foldr</a></code>
 f z . <code><a href="Data-HashMap.html#v:elems">elems</a></code></code>.
</p></div></div><div class="top"><p class="src"><a name="v:foldWithKey" class="def">foldWithKey</a> ::  (k -&gt; a -&gt; b -&gt; b) -&gt; b -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; b<a href="src/Data-HashMap.html#foldWithKey" class="link">Source</a></p><div class="doc"><p>Fold the keys and values in the map, such that <code><code><a href="Data-HashMap.html#v:foldWithKey">foldWithKey</a></code> f z ==
 <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-List.html#v:foldr">foldr</a></code> (<code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Tuple.html#v:uncurry">uncurry</a></code> f) z . <code>toAscList</code></code>.
</p></div></div><h1 id="g:13">Conversion
</h1><div class="top"><p class="src"><a name="v:elems" class="def">elems</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [a]<a href="src/Data-HashMap.html#elems" class="link">Source</a></p><div class="doc"><p>Return all elements of the map in arbitrary order of their keys.
</p></div></div><div class="top"><p class="src"><a name="v:keys" class="def">keys</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [k]<a href="src/Data-HashMap.html#keys" class="link">Source</a></p><div class="doc"><p>Return all keys of the map in arbitrary order.
</p></div></div><div class="top"><p class="src"><a name="v:keysSet" class="def">keysSet</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/containers-0.5.0.0/Data-Set.html#t:Set">Set</a> k<a href="src/Data-HashMap.html#keysSet" class="link">Source</a></p><div class="doc"><p>The set of all keys of the map.
</p></div></div><div class="top"><p class="src"><a name="v:assocs" class="def">assocs</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [(k, a)]<a href="src/Data-HashMap.html#assocs" class="link">Source</a></p><div class="doc"><p>Return all key/value pairs in the map in arbitrary key order.
</p></div></div><h2 id="g:14">Lists
</h2><div class="top"><p class="src"><a name="v:toList" class="def">toList</a> ::  <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; [(k, a)]<a href="src/Data-HashMap.html#toList" class="link">Source</a></p><div class="doc"><p>Convert the map to a list of key/value pairs.
</p></div></div><div class="top"><p class="src"><a name="v:fromList" class="def">fromList</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; [(k, a)] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#fromList" class="link">Source</a></p><div class="doc"><p>Create a map from a list of key/value pairs.
</p></div></div><div class="top"><p class="src"><a name="v:fromListWith" class="def">fromListWith</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (a -&gt; a -&gt; a) -&gt; [(k, a)] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#fromListWith" class="link">Source</a></p><div class="doc"><p>Create a map from a list of key/value pairs with a combining function.
</p></div></div><div class="top"><p class="src"><a name="v:fromListWithKey" class="def">fromListWithKey</a> :: (<a href="/usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k) =&gt; (k -&gt; a -&gt; a -&gt; a) -&gt; [(k, a)] -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#fromListWithKey" class="link">Source</a></p><div class="doc"><p>Build a map from a list of key/value pairs with a combining function.
</p></div></div><h1 id="g:15">Filter
</h1><div class="top"><p class="src"><a name="v:filter" class="def">filter</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#filter" class="link">Source</a></p><div class="doc"><p>Filter all values that satisfy some predicate.
</p></div></div><div class="top"><p class="src"><a name="v:filterWithKey" class="def">filterWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a<a href="src/Data-HashMap.html#filterWithKey" class="link">Source</a></p><div class="doc"><p>Filter all keys/values that satisfy some predicate.
</p></div></div><div class="top"><p class="src"><a name="v:partition" class="def">partition</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k a, <a href="Data-HashMap.html#t:Map">Map</a> k a)<a href="src/Data-HashMap.html#partition" class="link">Source</a></p><div class="doc"><p>Partition the map according to some predicate. The first map contains all
 elements that satisfy the predicate, the second all elements that fail the
 predicate.
</p></div></div><div class="top"><p class="src"><a name="v:partitionWithKey" class="def">partitionWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k a, <a href="Data-HashMap.html#t:Map">Map</a> k a)<a href="src/Data-HashMap.html#partitionWithKey" class="link">Source</a></p><div class="doc"><p>Partition the map according to some predicate. The first map contains all
 elements that satisfy the predicate, the second all elements that fail the
 predicate.
</p></div></div><div class="top"><p class="src"><a name="v:mapMaybe" class="def">mapMaybe</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b<a href="src/Data-HashMap.html#mapMaybe" class="link">Source</a></p><div class="doc"><p>Map values and collect the <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Just">Just</a></code> results.
</p></div></div><div class="top"><p class="src"><a name="v:mapMaybeWithKey" class="def">mapMaybeWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#t:Maybe">Maybe</a> b) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b<a href="src/Data-HashMap.html#mapMaybeWithKey" class="link">Source</a></p><div class="doc"><p>Map keys/values and collect the <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Maybe.html#v:Just">Just</a></code> results.
</p></div></div><div class="top"><p class="src"><a name="v:mapEither" class="def">mapEither</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#t:Either">Either</a> b c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k b, <a href="Data-HashMap.html#t:Map">Map</a> k c)<a href="src/Data-HashMap.html#mapEither" class="link">Source</a></p><div class="doc"><p>Map values and separate the <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#v:Left">Left</a></code> and <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#v:Right">Right</a></code> results.
</p></div></div><div class="top"><p class="src"><a name="v:mapEitherWithKey" class="def">mapEitherWithKey</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (k -&gt; a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#t:Either">Either</a> b c) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; (<a href="Data-HashMap.html#t:Map">Map</a> k b, <a href="Data-HashMap.html#t:Map">Map</a> k c)<a href="src/Data-HashMap.html#mapEitherWithKey" class="link">Source</a></p><div class="doc"><p>Map keys/values and separate the <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#v:Left">Left</a></code> and <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Either.html#v:Right">Right</a></code> results.
</p></div></div><h1 id="g:16">Submap
</h1><div class="top"><p class="src"><a name="v:isSubmapOf" class="def">isSubmapOf</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a) =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#isSubmapOf" class="link">Source</a></p><div class="doc"><p>Is this a submap?
</p></div></div><div class="top"><p class="src"><a name="v:isSubmapOfBy" class="def">isSubmapOfBy</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#isSubmapOfBy" class="link">Source</a></p><div class="doc"><p>The expression (<code><code><a href="Data-HashMap.html#v:isSubmapOfBy">isSubmapOfBy</a></code> f m1 m2</code>) returns <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#v:True">True</a></code> if all keys in
 <code>m1</code> are in <code>m2</code>, and when <code>f</code> returns <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#v:True">True</a></code> when applied to their
 respective values.
</p></div></div><div class="top"><p class="src"><a name="v:isProperSubmapOf" class="def">isProperSubmapOf</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a) =&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#isProperSubmapOf" class="link">Source</a></p><div class="doc"><p>Is this a proper submap? (ie. a submap but not equal).
</p></div></div><div class="top"><p class="src"><a name="v:isProperSubmapOfBy" class="def">isProperSubmapOfBy</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> k =&gt; (a -&gt; b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k a -&gt; <a href="Data-HashMap.html#t:Map">Map</a> k b -&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#t:Bool">Bool</a><a href="src/Data-HashMap.html#isProperSubmapOfBy" class="link">Source</a></p><div class="doc"><p>Is this a proper submap? (ie. a submap but not equal).  The expression
 (<code><code><a href="Data-HashMap.html#v:isProperSubmapOfBy">isProperSubmapOfBy</a></code> f m1 m2</code>) returns <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#v:True">True</a></code> when <code>m1</code> and <code>m2</code> are not
 equal, all keys in <code>m1</code> are in <code>m2</code>, and when <code>f</code> returns <code><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Bool.html#v:True">True</a></code> when
 applied to their respective values.
</p></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.13.2</p></div></body></html>