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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.List.NonEmpty</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[
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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Data-List-NonEmpty.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">semigroups-0.18.0.1: Anything that associates</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Copyright</th><td>(C) 2011-2015 Edward Kmett,
                (C) 2010 Tony Morris, Oliver Taylor, Eelis van der Weegen</td></tr><tr><th>License</th><td>BSD-style (see the file LICENSE)</td></tr><tr><th>Maintainer</th><td>Edward Kmett &lt;ekmett@gmail.com&gt;</td></tr><tr><th>Stability</th><td>provisional</td></tr><tr><th>Portability</th><td>portable</td></tr><tr><th>Safe Haskell</th><td>Trustworthy</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Data.List.NonEmpty</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">The type of non-empty streams</a></li><li><a href="#g:2">Non-empty stream transformations</a></li><li><a href="#g:3">Basic functions</a></li><li><a href="#g:4">Building streams</a></li><li><a href="#g:5">Extracting sublists</a></li><li><a href="#g:6">Sublist predicates</a></li><li><a href="#g:7">&quot;Set&quot; operations</a></li><li><a href="#g:8">Indexing streams</a></li><li><a href="#g:9">Zipping and unzipping streams</a></li><li><a href="#g:10">Converting to and from a list</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc"><p>A NonEmpty list forms a monad as per list, but always contains at least
 one element.</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:NonEmpty">NonEmpty</a> a = a <a href="#v::-124-">:|</a> [a]</li><li class="src short"><a href="#v:map">map</a> :: (a -&gt; b) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b</li><li class="src short"><a href="#v:intersperse">intersperse</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:scanl">scanl</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; (b -&gt; a -&gt; b) -&gt; b -&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b</li><li class="src short"><a href="#v:scanr">scanr</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; (a -&gt; b -&gt; b) -&gt; b -&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b</li><li class="src short"><a href="#v:scanl1">scanl1</a> :: (a -&gt; a -&gt; a) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:scanr1">scanr1</a> :: (a -&gt; a -&gt; a) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:transpose">transpose</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:sortBy">sortBy</a> :: (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ordering">Ordering</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:sortWith">sortWith</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> o =&gt; (a -&gt; o) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:length">length</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a></li><li class="src short"><a href="#v:head">head</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; a</li><li class="src short"><a href="#v:tail">tail</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:last">last</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; a</li><li class="src short"><a href="#v:init">init</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:-60--124-">(&lt;|)</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:cons">cons</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:uncons">uncons</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; (a, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a))</li><li class="src short"><a href="#v:unfoldr">unfoldr</a> :: (a -&gt; (b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> a)) -&gt; a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b</li><li class="src short"><a href="#v:sort">sort</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> a =&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:reverse">reverse</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:inits">inits</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> [a]</li><li class="src short"><a href="#v:tails">tails</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> [a]</li><li class="src short"><a href="#v:iterate">iterate</a> :: (a -&gt; a) -&gt; a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:repeat">repeat</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:cycle">cycle</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:unfold">unfold</a> :: (a -&gt; (b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> a)) -&gt; a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b</li><li class="src short"><a href="#v:insert">insert</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> a) =&gt; a -&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:some1">some1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Alternative">Alternative</a> f =&gt; f a -&gt; f (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:take">take</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:drop">drop</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:splitAt">splitAt</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a])</li><li class="src short"><a href="#v:takeWhile">takeWhile</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:dropWhile">dropWhile</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:span">span</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a])</li><li class="src short"><a href="#v:break">break</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a])</li><li class="src short"><a href="#v:filter">filter</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:partition">partition</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a])</li><li class="src short"><a href="#v:group">group</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a) =&gt; f a -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a]</li><li class="src short"><a href="#v:groupBy">groupBy</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; f a -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a]</li><li class="src short"><a href="#v:groupWith">groupWith</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> b) =&gt; (a -&gt; b) -&gt; f a -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a]</li><li class="src short"><a href="#v:groupAllWith">groupAllWith</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> b =&gt; (a -&gt; b) -&gt; [a] -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a]</li><li class="src short"><a href="#v:group1">group1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:groupBy1">groupBy1</a> :: (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:groupWith1">groupWith1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> b =&gt; (a -&gt; b) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:groupAllWith1">groupAllWith1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> b =&gt; (a -&gt; b) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:isPrefixOf">isPrefixOf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; [a] -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:nub">nub</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:nubBy">nubBy</a> :: (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:-33--33-">(!!)</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; a</li><li class="src short"><a href="#v:zip">zip</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (a, b)</li><li class="src short"><a href="#v:zipWith">zipWith</a> :: (a -&gt; b -&gt; c) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> c</li><li class="src short"><a href="#v:unzip">unzip</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Functor.html#t:Functor">Functor</a> f =&gt; f (a, b) -&gt; (f a, f b)</li><li class="src short"><a href="#v:fromList">fromList</a> :: [a] -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a</li><li class="src short"><a href="#v:toList">toList</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a]</li><li class="src short"><a href="#v:nonEmpty">nonEmpty</a> :: [a] -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</li><li class="src short"><a href="#v:xor">xor</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a></li></ul></div><div id="interface"><h1 id="g:1">The type of non-empty streams</h1><div class="top"><p class="src"><span class="keyword">data</span> <a name="t:NonEmpty" class="def">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#NonEmpty" class="link">Source</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src">a <a name="v::-124-" class="def">:|</a> [a] <span class="fixity">infixr 5</span><span class="rightedge"></span></td><td class="doc empty">&nbsp;</td></tr></table></div><div class="subs instances"><p id="control.i:NonEmpty" class="caption collapser" onclick="toggleSection('i:NonEmpty')">Instances</p><div id="section.i:NonEmpty" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad.html#t:Monad">Monad</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-265" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Functor.html#t:Functor">Functor</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-255" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad-Fix.html#t:MonadFix">MonadFix</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-206" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Applicative">Applicative</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-261" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-274" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Traversable.html#t:Traversable">Traversable</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-271" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Generics.html#t:Generic1">Generic1</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-180" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Monad-Zip.html#t:MonadZip">MonadZip</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-211" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Exts.html#t:IsList">IsList</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-195" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-173" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Data.html#t:Data">Data</a> a =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Data.html#t:Data">Data</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-175" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> a =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-173" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Read.html#t:Read">Read</a> a =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Read.html#t:Read">Read</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-173" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Show.html#t:Show">Show</a> a =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Show.html#t:Show">Show</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-173" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Generics.html#t:Generic">Generic</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-178" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/deepseq-1.4.1.1/Control-DeepSeq.html#t:NFData">NFData</a> a =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/deepseq-1.4.1.1/Control-DeepSeq.html#t:NFData">NFData</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-202" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> a =&gt; <a href="file:///usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-186" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Semigroup.html#t:Semigroup">Semigroup</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-Semigroup.html#line-415" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><span class="keyword">type</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Generics.html#t:Rep1">Rep1</a> <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></span> <a href="src/Data-List-NonEmpty.html#line-172" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><span class="keyword">type</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Generics.html#t:Rep">Rep</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Data-List-NonEmpty.html#line-172" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><span class="keyword">type</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Exts.html#t:Item">Item</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) = a</span> <a href="src/Data-List-NonEmpty.html#line-196" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><h1 id="g:2">Non-empty stream transformations</h1><div class="top"><p class="src"><a name="v:map" class="def">map</a> :: (a -&gt; b) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b <a href="src/Data-List-NonEmpty.html#map" class="link">Source</a></p><div class="doc"><p>Map a function over a <code><a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></code> stream.</p></div></div><div class="top"><p class="src"><a name="v:intersperse" class="def">intersperse</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#intersperse" class="link">Source</a></p><div class="doc"><p>'intersperse x xs' alternates elements of the list with copies of <code>x</code>.</p><pre>intersperse 0 (1 :| [2,3]) == 1 :| [0,2,0,3]</pre></div></div><div class="top"><p class="src"><a name="v:scanl" class="def">scanl</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; (b -&gt; a -&gt; b) -&gt; b -&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b <a href="src/Data-List-NonEmpty.html#scanl" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:scanl">scanl</a></code> is similar to <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#v:foldl">foldl</a></code>, but returns a stream of successive
 reduced values from the left:</p><pre>scanl f z [x1, x2, ...] == z :| [z `f` x1, (z `f` x1) `f` x2, ...]</pre><p>Note that</p><pre>last (scanl f z xs) == foldl f z xs.</pre></div></div><div class="top"><p class="src"><a name="v:scanr" class="def">scanr</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; (a -&gt; b -&gt; b) -&gt; b -&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b <a href="src/Data-List-NonEmpty.html#scanr" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:scanr">scanr</a></code> is the right-to-left dual of <code><a href="Data-List-NonEmpty.html#v:scanl">scanl</a></code>.
 Note that</p><pre>head (scanr f z xs) == foldr f z xs.</pre></div></div><div class="top"><p class="src"><a name="v:scanl1" class="def">scanl1</a> :: (a -&gt; a -&gt; a) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#scanl1" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:scanl1">scanl1</a></code> is a variant of <code><a href="Data-List-NonEmpty.html#v:scanl">scanl</a></code> that has no starting value argument:</p><pre>scanl1 f [x1, x2, ...] == x1 :| [x1 `f` x2, x1 `f` (x2 `f` x3), ...]</pre></div></div><div class="top"><p class="src"><a name="v:scanr1" class="def">scanr1</a> :: (a -&gt; a -&gt; a) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#scanr1" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:scanr1">scanr1</a></code> is a variant of <code><a href="Data-List-NonEmpty.html#v:scanr">scanr</a></code> that has no starting value argument.</p></div></div><div class="top"><p class="src"><a name="v:transpose" class="def">transpose</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#transpose" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:transpose">transpose</a></code> for <code><a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></code>, behaves the same as <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-List.html#v:transpose">transpose</a></code>
 The rows/columns need not be the same length, in which case
 &gt; transpose . transpose /= id</p></div></div><div class="top"><p class="src"><a name="v:sortBy" class="def">sortBy</a> :: (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ordering">Ordering</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#sortBy" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:sortBy">sortBy</a></code> for <code><a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></code>, behaves the same as <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-List.html#v:sortBy">sortBy</a></code></p></div></div><div class="top"><p class="src"><a name="v:sortWith" class="def">sortWith</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> o =&gt; (a -&gt; o) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#sortWith" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:sortWith">sortWith</a></code> for <code><a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></code>, behaves the same as:</p><pre>sortBy . comparing</pre></div></div><h1 id="g:3">Basic functions</h1><div class="top"><p class="src"><a name="v:length" class="def">length</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> <a href="src/Data-List-NonEmpty.html#length" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:head" class="def">head</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; a <a href="src/Data-List-NonEmpty.html#head" class="link">Source</a></p><div class="doc"><p>Extract the first element of the stream.</p></div></div><div class="top"><p class="src"><a name="v:tail" class="def">tail</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#tail" class="link">Source</a></p><div class="doc"><p>Extract the possibly-empty tail of the stream.</p></div></div><div class="top"><p class="src"><a name="v:last" class="def">last</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; a <a href="src/Data-List-NonEmpty.html#last" class="link">Source</a></p><div class="doc"><p>Extract the last element of the stream.</p></div></div><div class="top"><p class="src"><a name="v:init" class="def">init</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#init" class="link">Source</a></p><div class="doc"><p>Extract everything except the last element of the stream.</p></div></div><div class="top"><p class="src"><a name="v:-60--124-" class="def">(&lt;|)</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <span class="fixity">infixr 5</span><span class="rightedge"></span> <a href="src/Data-List-NonEmpty.html#%3C%7C" class="link">Source</a></p><div class="doc"><p>Prepend an element to the stream.</p></div></div><div class="top"><p class="src"><a name="v:cons" class="def">cons</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#cons" class="link">Source</a></p><div class="doc"><p>Synonym for <code><a href="Data-List-NonEmpty.html#v:-60--124-">&lt;|</a></code>.</p></div></div><div class="top"><p class="src"><a name="v:uncons" class="def">uncons</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; (a, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)) <a href="src/Data-List-NonEmpty.html#uncons" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:uncons">uncons</a></code> produces the first element of the stream, and a stream of the
 remaining elements, if any.</p></div></div><div class="top"><p class="src"><a name="v:unfoldr" class="def">unfoldr</a> :: (a -&gt; (b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> a)) -&gt; a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b <a href="src/Data-List-NonEmpty.html#unfoldr" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:sort" class="def">sort</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> a =&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#sort" class="link">Source</a></p><div class="doc"><p>Sort a stream.</p></div></div><div class="top"><p class="src"><a name="v:reverse" class="def">reverse</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#reverse" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:reverse">reverse</a></code> a finite NonEmpty stream.</p></div></div><div class="top"><p class="src"><a name="v:inits" class="def">inits</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> [a] <a href="src/Data-List-NonEmpty.html#inits" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:inits">inits</a></code> function takes a stream <code>xs</code> and returns all the
 finite prefixes of <code>xs</code>.</p></div></div><div class="top"><p class="src"><a name="v:tails" class="def">tails</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> [a] <a href="src/Data-List-NonEmpty.html#tails" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:tails">tails</a></code> function takes a stream <code>xs</code> and returns all the
 suffixes of <code>xs</code>.</p></div></div><h1 id="g:4">Building streams</h1><div class="top"><p class="src"><a name="v:iterate" class="def">iterate</a> :: (a -&gt; a) -&gt; a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#iterate" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:iterate">iterate</a></code> f x</code> produces the infinite sequence
 of repeated applications of <code>f</code> to <code>x</code>.</p><pre>iterate f x = x :| [f x, f (f x), ..]</pre></div></div><div class="top"><p class="src"><a name="v:repeat" class="def">repeat</a> :: a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#repeat" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:repeat">repeat</a></code> x</code> returns a constant stream, where all elements are
 equal to <code>x</code>.</p></div></div><div class="top"><p class="src"><a name="v:cycle" class="def">cycle</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#cycle" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:cycle">cycle</a></code> xs</code> returns the infinite repetition of <code>xs</code>:</p><pre>cycle [1,2,3] = 1 :| [2,3,1,2,3,...]</pre></div></div><div class="top"><p class="src"><a name="v:unfold" class="def">unfold</a> :: (a -&gt; (b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> a)) -&gt; a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b <a href="src/Data-List-NonEmpty.html#unfold" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:unfold">unfold</a></code> produces a new stream by repeatedly applying the unfolding
 function to the seed value to produce an element of type <code>b</code> and a new
 seed value.  When the unfolding function returns <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#v:Nothing">Nothing</a></code> instead of
 a new seed value, the stream ends.</p></div></div><div class="top"><p class="src"><a name="v:insert" class="def">insert</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> a) =&gt; a -&gt; f a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#insert" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:insert">insert</a></code> x xs</code> inserts <code>x</code> into the last position in <code>xs</code> where it
 is still less than or equal to the next element. In particular, if the
 list is sorted beforehand, the result will also be sorted.</p></div></div><div class="top"><p class="src"><a name="v:some1" class="def">some1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Control-Applicative.html#t:Alternative">Alternative</a> f =&gt; f a -&gt; f (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#some1" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:some1">some1</a></code> x</code> sequences <code>x</code> one or more times.</p></div></div><h1 id="g:5">Extracting sublists</h1><div class="top"><p class="src"><a name="v:take" class="def">take</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#take" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:take">take</a></code> n xs</code> returns the first <code>n</code> elements of <code>xs</code>.</p></div></div><div class="top"><p class="src"><a name="v:drop" class="def">drop</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#drop" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:drop">drop</a></code> n xs</code> drops the first <code>n</code> elements off the front of
 the sequence <code>xs</code>.</p></div></div><div class="top"><p class="src"><a name="v:splitAt" class="def">splitAt</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a]) <a href="src/Data-List-NonEmpty.html#splitAt" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:splitAt">splitAt</a></code> n xs</code> returns a pair consisting of the prefix of <code>xs</code>
 of length <code>n</code> and the remaining stream immediately following this prefix.</p><pre>'splitAt' n xs == ('take' n xs, 'drop' n xs)
xs == ys ++ zs where (ys, zs) = 'splitAt' n xs</pre></div></div><div class="top"><p class="src"><a name="v:takeWhile" class="def">takeWhile</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#takeWhile" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:takeWhile">takeWhile</a></code> p xs</code> returns the longest prefix of the stream
 <code>xs</code> for which the predicate <code>p</code> holds.</p></div></div><div class="top"><p class="src"><a name="v:dropWhile" class="def">dropWhile</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#dropWhile" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:dropWhile">dropWhile</a></code> p xs</code> returns the suffix remaining after
 <code><code><a href="Data-List-NonEmpty.html#v:takeWhile">takeWhile</a></code> p xs</code>.</p></div></div><div class="top"><p class="src"><a name="v:span" class="def">span</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a]) <a href="src/Data-List-NonEmpty.html#span" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:span">span</a></code> p xs</code> returns the longest prefix of <code>xs</code> that satisfies
 <code>p</code>, together with the remainder of the stream.</p><pre>'span' p xs == ('takeWhile' p xs, 'dropWhile' p xs)
xs == ys ++ zs where (ys, zs) = 'span' p xs</pre></div></div><div class="top"><p class="src"><a name="v:break" class="def">break</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a]) <a href="src/Data-List-NonEmpty.html#break" class="link">Source</a></p><div class="doc"><p>The <code><code><a href="Data-List-NonEmpty.html#v:break">break</a></code> p</code> function is equivalent to <code><code><a href="Data-List-NonEmpty.html#v:span">span</a></code> (not . p)</code>.</p></div></div><div class="top"><p class="src"><a name="v:filter" class="def">filter</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#filter" class="link">Source</a></p><div class="doc"><p><code><code><a href="Data-List-NonEmpty.html#v:filter">filter</a></code> p xs</code> removes any elements from <code>xs</code> that do not satisfy <code>p</code>.</p></div></div><div class="top"><p class="src"><a name="v:partition" class="def">partition</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; ([a], [a]) <a href="src/Data-List-NonEmpty.html#partition" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:partition">partition</a></code> function takes a predicate <code>p</code> and a stream
 <code>xs</code>, and returns a pair of lists. The first list corresponds to the
 elements of <code>xs</code> for which <code>p</code> holds; the second corresponds to the
 elements of <code>xs</code> for which <code>p</code> does not hold.</p><pre>'partition' p xs = ('filter' p xs, 'filter' (not . p) xs)</pre></div></div><div class="top"><p class="src"><a name="v:group" class="def">group</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a) =&gt; f a -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a] <a href="src/Data-List-NonEmpty.html#group" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:group">group</a></code> function takes a stream and returns a list of
 streams such that flattening the resulting list is equal to the
 argument.  Moreover, each stream in the resulting list
 contains only equal elements.  For example, in list notation:</p><pre>'group' $ 'cycle' &quot;Mississippi&quot; = &quot;M&quot; : &quot;i&quot; : &quot;ss&quot; : &quot;i&quot; : &quot;ss&quot; : &quot;i&quot; : &quot;pp&quot; : &quot;i&quot; : &quot;M&quot; : &quot;i&quot; : ...</pre></div></div><div class="top"><p class="src"><a name="v:groupBy" class="def">groupBy</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f =&gt; (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; f a -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a] <a href="src/Data-List-NonEmpty.html#groupBy" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:groupBy">groupBy</a></code> operates like <code><a href="Data-List-NonEmpty.html#v:group">group</a></code>, but uses the provided equality
 predicate instead of <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#v:-61--61-">==</a></code>.</p></div></div><div class="top"><p class="src"><a name="v:groupWith" class="def">groupWith</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Foldable.html#t:Foldable">Foldable</a> f, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> b) =&gt; (a -&gt; b) -&gt; f a -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a] <a href="src/Data-List-NonEmpty.html#groupWith" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:groupWith">groupWith</a></code> operates like <code><a href="Data-List-NonEmpty.html#v:group">group</a></code>, but uses the provided projection when
 comparing for equality</p></div></div><div class="top"><p class="src"><a name="v:groupAllWith" class="def">groupAllWith</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> b =&gt; (a -&gt; b) -&gt; [a] -&gt; [<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a] <a href="src/Data-List-NonEmpty.html#groupAllWith" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:groupAllWith">groupAllWith</a></code> operates like <code><a href="Data-List-NonEmpty.html#v:groupWith">groupWith</a></code>, but sorts the list first so that each
 equivalence class has, at most, one list in the output</p></div></div><div class="top"><p class="src"><a name="v:group1" class="def">group1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#group1" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:group1">group1</a></code> operates like <code><a href="Data-List-NonEmpty.html#v:group">group</a></code>, but uses the knowledge that its
 input is non-empty to produce guaranteed non-empty output.</p></div></div><div class="top"><p class="src"><a name="v:groupBy1" class="def">groupBy1</a> :: (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#groupBy1" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:groupBy1">groupBy1</a></code> is to <code><a href="Data-List-NonEmpty.html#v:group1">group1</a></code> as <code><a href="Data-List-NonEmpty.html#v:groupBy">groupBy</a></code> is to <code><a href="Data-List-NonEmpty.html#v:group">group</a></code>.</p></div></div><div class="top"><p class="src"><a name="v:groupWith1" class="def">groupWith1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> b =&gt; (a -&gt; b) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#groupWith1" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:groupWith1">groupWith1</a></code> is to <code><a href="Data-List-NonEmpty.html#v:group1">group1</a></code> as <code><a href="Data-List-NonEmpty.html#v:groupWith">groupWith</a></code> is to <code><a href="Data-List-NonEmpty.html#v:group">group</a></code></p></div></div><div class="top"><p class="src"><a name="v:groupAllWith1" class="def">groupAllWith1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> b =&gt; (a -&gt; b) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#groupAllWith1" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:groupAllWith1">groupAllWith1</a></code> is to <code><a href="Data-List-NonEmpty.html#v:groupWith1">groupWith1</a></code> as <code><a href="Data-List-NonEmpty.html#v:groupAllWith">groupAllWith</a></code> is to <code><a href="Data-List-NonEmpty.html#v:groupWith">groupWith</a></code></p></div></div><h1 id="g:6">Sublist predicates</h1><div class="top"><p class="src"><a name="v:isPrefixOf" class="def">isPrefixOf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; [a] -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> <a href="src/Data-List-NonEmpty.html#isPrefixOf" class="link">Source</a></p><div class="doc"><p>The <code>isPrefix</code> function returns <code>True</code> if the first argument is
 a prefix of the second.</p></div></div><h1 id="g:7">&quot;Set&quot; operations</h1><div class="top"><p class="src"><a name="v:nub" class="def">nub</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a =&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#nub" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:nub">nub</a></code> function removes duplicate elements from a list. In
 particular, it keeps only the first occurence of each element.
 (The name <code><a href="Data-List-NonEmpty.html#v:nub">nub</a></code> means 'essence'.)
 It is a special case of <code><a href="Data-List-NonEmpty.html#v:nubBy">nubBy</a></code>, which allows the programmer to
 supply their own inequality test.</p></div></div><div class="top"><p class="src"><a name="v:nubBy" class="def">nubBy</a> :: (a -&gt; a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a>) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#nubBy" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:nubBy">nubBy</a></code> function behaves just like <code><a href="Data-List-NonEmpty.html#v:nub">nub</a></code>, except it uses a
 user-supplied equality predicate instead of the overloaded <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#v:-61--61-">==</a></code>
 function.</p></div></div><h1 id="g:8">Indexing streams</h1><div class="top"><p class="src"><a name="v:-33--33-" class="def">(!!)</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; a <a href="src/Data-List-NonEmpty.html#%21%21" class="link">Source</a></p><div class="doc"><p><code>xs !! n</code> returns the element of the stream <code>xs</code> at index
 <code>n</code>. Note that the head of the stream has index 0.</p><p><em>Beware</em>: a negative or out-of-bounds index will cause an error.</p></div></div><h1 id="g:9">Zipping and unzipping streams</h1><div class="top"><p class="src"><a name="v:zip" class="def">zip</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> (a, b) <a href="src/Data-List-NonEmpty.html#zip" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:zip">zip</a></code> function takes two streams and returns a stream of
 corresponding pairs.</p></div></div><div class="top"><p class="src"><a name="v:zipWith" class="def">zipWith</a> :: (a -&gt; b -&gt; c) -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> b -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> c <a href="src/Data-List-NonEmpty.html#zipWith" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:zipWith">zipWith</a></code> function generalizes <code><a href="Data-List-NonEmpty.html#v:zip">zip</a></code>. Rather than tupling
 the elements, the elements are combined using the function
 passed as the first argument.</p></div></div><div class="top"><p class="src"><a name="v:unzip" class="def">unzip</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Functor.html#t:Functor">Functor</a> f =&gt; f (a, b) -&gt; (f a, f b) <a href="src/Data-List-NonEmpty.html#unzip" class="link">Source</a></p><div class="doc"><p>The <code><a href="Data-List-NonEmpty.html#v:unzip">unzip</a></code> function is the inverse of the <code><a href="Data-List-NonEmpty.html#v:zip">zip</a></code> function.</p></div></div><h1 id="g:10">Converting to and from a list</h1><div class="top"><p class="src"><a name="v:fromList" class="def">fromList</a> :: [a] -&gt; <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Data-List-NonEmpty.html#fromList" class="link">Source</a></p><div class="doc"><p>Converts a normal list to a <code><a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></code> stream.</p><p>Raises an error if given an empty list.</p></div></div><div class="top"><p class="src"><a name="v:toList" class="def">toList</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; [a] <a href="src/Data-List-NonEmpty.html#toList" class="link">Source</a></p><div class="doc"><p>Convert a stream to a normal list efficiently.</p></div></div><div class="top"><p class="src"><a name="v:nonEmpty" class="def">nonEmpty</a> :: [a] -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> (<a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a) <a href="src/Data-List-NonEmpty.html#nonEmpty" class="link">Source</a></p><div class="doc"><p><code><a href="Data-List-NonEmpty.html#v:nonEmpty">nonEmpty</a></code> efficiently turns a normal list into a <code><a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a></code> stream,
 producing <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#v:Nothing">Nothing</a></code> if the input is empty.</p></div></div><div class="top"><p class="src"><a name="v:xor" class="def">xor</a> :: <a href="Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> <a href="src/Data-List-NonEmpty.html#xor" class="link">Source</a></p></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.16.1</p></div></body></html>