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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>Control.Lens.Fold</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script src="file:///usr/share/javascript/mathjax/MathJax.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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</script></head><body id="mini"><div id="module-header"><p class="caption">Control.Lens.Fold</p></div><div id="interface"><h1>Folds</h1><div class="top"><p class="src"><span class="keyword">type</span> <a href="Control-Lens-Fold.html#t:Fold" target="main">Fold</a> s a</p></div><div class="top"><p class="src"><span class="keyword">type</span> <a href="Control-Lens-Fold.html#t:IndexedFold" target="main">IndexedFold</a> i s a</p></div><h1>Getting Started</h1><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:-94-.." target="main">(^..)</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:-94--63-" target="main">(^?)</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:-94--63--33-" target="main">(^?!)</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:pre" target="main">pre</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ipre" target="main">ipre</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:preview" target="main">preview</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:previews" target="main">previews</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ipreview" target="main">ipreview</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ipreviews" target="main">ipreviews</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:preuse" target="main">preuse</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:preuses" target="main">preuses</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ipreuse" target="main">ipreuse</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ipreuses" target="main">ipreuses</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:has" target="main">has</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:hasn-39-t" target="main">hasn't</a></p></div><h2>Building Folds</h2><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:folding" target="main">folding</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifolding" target="main">ifolding</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldring" target="main">foldring</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldring" target="main">ifoldring</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:folded" target="main">folded</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:folded64" target="main">folded64</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:unfolded" target="main">unfolded</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:iterated" target="main">iterated</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:filtered" target="main">filtered</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:backwards" target="main">backwards</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:repeated" target="main">repeated</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:replicated" target="main">replicated</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:cycled" target="main">cycled</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:takingWhile" target="main">takingWhile</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:droppingWhile" target="main">droppingWhile</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:worded" target="main">worded</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:lined" target="main">lined</a></p></div><h2>Folding</h2><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldMapOf" target="main">foldMapOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldOf" target="main">foldOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldrOf" target="main">foldrOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldlOf" target="main">foldlOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:toListOf" target="main">toListOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:toNonEmptyOf" target="main">toNonEmptyOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:anyOf" target="main">anyOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:allOf" target="main">allOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:noneOf" target="main">noneOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:andOf" target="main">andOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:orOf" target="main">orOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:productOf" target="main">productOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:sumOf" target="main">sumOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:traverseOf_" target="main">traverseOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:forOf_" target="main">forOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:sequenceAOf_" target="main">sequenceAOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:mapMOf_" target="main">mapMOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:forMOf_" target="main">forMOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:sequenceOf_" target="main">sequenceOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:asumOf" target="main">asumOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:msumOf" target="main">msumOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:concatMapOf" target="main">concatMapOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:concatOf" target="main">concatOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:elemOf" target="main">elemOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:notElemOf" target="main">notElemOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:lengthOf" target="main">lengthOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:nullOf" target="main">nullOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:notNullOf" target="main">notNullOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:firstOf" target="main">firstOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:first1Of" target="main">first1Of</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:lastOf" target="main">lastOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:last1Of" target="main">last1Of</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:maximumOf" target="main">maximumOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:maximum1Of" target="main">maximum1Of</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:minimumOf" target="main">minimumOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:minimum1Of" target="main">minimum1Of</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:maximumByOf" target="main">maximumByOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:minimumByOf" target="main">minimumByOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:findOf" target="main">findOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:findMOf" target="main">findMOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldrOf-39-" target="main">foldrOf'</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldlOf-39-" target="main">foldlOf'</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldr1Of" target="main">foldr1Of</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldl1Of" target="main">foldl1Of</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldr1Of-39-" target="main">foldr1Of'</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldl1Of-39-" target="main">foldl1Of'</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldrMOf" target="main">foldrMOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldlMOf" target="main">foldlMOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:lookupOf" target="main">lookupOf</a></p></div><h1>Indexed Folds</h1><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:-94--64-.." target="main">(^@..)</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:-94--64--63-" target="main">(^@?)</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:-94--64--63--33-" target="main">(^@?!)</a></p></div><h2>Indexed Folding</h2><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldMapOf" target="main">ifoldMapOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldrOf" target="main">ifoldrOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldlOf" target="main">ifoldlOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ianyOf" target="main">ianyOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:iallOf" target="main">iallOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:inoneOf" target="main">inoneOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:itraverseOf_" target="main">itraverseOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:iforOf_" target="main">iforOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:imapMOf_" target="main">imapMOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:iforMOf_" target="main">iforMOf_</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:iconcatMapOf" target="main">iconcatMapOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifindOf" target="main">ifindOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifindMOf" target="main">ifindMOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldrOf-39-" target="main">ifoldrOf'</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldlOf-39-" target="main">ifoldlOf'</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldrMOf" target="main">ifoldrMOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifoldlMOf" target="main">ifoldlMOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:itoListOf" target="main">itoListOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:elemIndexOf" target="main">elemIndexOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:elemIndicesOf" target="main">elemIndicesOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:findIndexOf" target="main">findIndexOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:findIndicesOf" target="main">findIndicesOf</a></p></div><h2>Building Indexed Folds</h2><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:ifiltered" target="main">ifiltered</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:itakingWhile" target="main">itakingWhile</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:idroppingWhile" target="main">idroppingWhile</a></p></div><h1>Internal types</h1><div class="top"><p class="src"><span class="keyword">data</span> <a href="Control-Lens-Fold.html#t:Leftmost" target="main">Leftmost</a> a</p></div><div class="top"><p class="src"><span class="keyword">data</span> <a href="Control-Lens-Fold.html#t:Rightmost" target="main">Rightmost</a> a</p></div><div class="top"><p class="src"><span class="keyword">data</span> <a href="Control-Lens-Fold.html#t:Traversed" target="main">Traversed</a> a f</p></div><div class="top"><p class="src"><span class="keyword">data</span> <a href="Control-Lens-Fold.html#t:Sequenced" target="main">Sequenced</a> a m</p></div><h1>Fold with Reified Monoid</h1><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldBy" target="main">foldBy</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldByOf" target="main">foldByOf</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldMapBy" target="main">foldMapBy</a></p></div><div class="top"><p class="src"><a href="Control-Lens-Fold.html#v:foldMapByOf" target="main">foldMapByOf</a></p></div></div></body></html>
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