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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html>
<head>
<!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ -->
<title>src/Control/Lens/Traversal.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE GADTs #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE Rank2Types #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-6"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-7"></a><span class='hs-comment'>{-# LANGUAGE FunctionalDependencies #-}</span>
<a name="line-8"></a><span class='hs-comment'>{-# LANGUAGE ScopedTypeVariables #-}</span>
<a name="line-9"></a><span class='hs-comment'>{-# LANGUAGE Trustworthy #-}</span>
<a name="line-10"></a>
<a name="line-11"></a><span class='hs-cpp'>#ifndef MIN_VERSION_containers</span>
<a name="line-12"></a><span class='hs-cpp'>#define MIN_VERSION_containers(x,y,z) 1</span>
<a name="line-13"></a><span class='hs-cpp'>#endif</span>
<a name="line-14"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-15"></a><span class='hs-comment'>-- |</span>
<a name="line-16"></a><span class='hs-comment'>-- Module      :  Control.Lens.Traversal</span>
<a name="line-17"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-15 Edward Kmett</span>
<a name="line-18"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-19"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-20"></a><span class='hs-comment'>-- Stability   :  provisional</span>
<a name="line-21"></a><span class='hs-comment'>-- Portability :  Rank2Types</span>
<a name="line-22"></a><span class='hs-comment'>--</span>
<a name="line-23"></a><span class='hs-comment'>-- A @'Traversal' s t a b@ is a generalization of 'traverse' from</span>
<a name="line-24"></a><span class='hs-comment'>-- 'Traversable'. It allows you to 'traverse' over a structure and change out</span>
<a name="line-25"></a><span class='hs-comment'>-- its contents with monadic or 'Applicative' side-effects. Starting from</span>
<a name="line-26"></a><span class='hs-comment'>--</span>
<a name="line-27"></a><span class='hs-comment'>-- @</span>
<a name="line-28"></a><span class='hs-comment'>-- 'traverse' :: ('Traversable' t, 'Applicative' f) =&gt; (a -&gt; f b) -&gt; t a -&gt; f (t b)</span>
<a name="line-29"></a><span class='hs-comment'>-- @</span>
<a name="line-30"></a><span class='hs-comment'>--</span>
<a name="line-31"></a><span class='hs-comment'>-- we monomorphize the contents and result to obtain</span>
<a name="line-32"></a><span class='hs-comment'>--</span>
<a name="line-33"></a><span class='hs-comment'>-- @</span>
<a name="line-34"></a><span class='hs-comment'>-- type 'Traversal' s t a b = forall f. 'Applicative' f =&gt; (a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-35"></a><span class='hs-comment'>-- @</span>
<a name="line-36"></a><span class='hs-comment'>--</span>
<a name="line-37"></a><span class='hs-comment'>-- While a 'Traversal' isn't quite a 'Fold', it _can_ be used for</span>
<a name="line-38"></a><span class='hs-comment'>-- 'Control.Lens.Getter.Getting' like a 'Fold', because given a</span>
<a name="line-39"></a><span class='hs-comment'>-- 'Data.Monoid.Monoid' @m@, we have an 'Applicative'</span>
<a name="line-40"></a><span class='hs-comment'>-- for @('Const' m)@. Everything you know how to do with a 'Traversable'</span>
<a name="line-41"></a><span class='hs-comment'>-- container, you can with with a 'Traversal', and here we provide</span>
<a name="line-42"></a><span class='hs-comment'>-- combinators that generalize the usual 'Traversable' operations.</span>
<a name="line-43"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-44"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversal</span>
<a name="line-45"></a>  <span class='hs-layout'>(</span>
<a name="line-46"></a>  <span class='hs-comment'>-- * Traversals</span>
<a name="line-47"></a>    <span class='hs-conid'>Traversal</span><span class='hs-layout'>,</span> <span class='hs-conid'>Traversal'</span>
<a name="line-48"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Traversal1</span><span class='hs-layout'>,</span> <span class='hs-conid'>Traversal1'</span>
<a name="line-49"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>IndexedTraversal</span><span class='hs-layout'>,</span> <span class='hs-conid'>IndexedTraversal'</span>
<a name="line-50"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>IndexedTraversal1</span><span class='hs-layout'>,</span> <span class='hs-conid'>IndexedTraversal1'</span>
<a name="line-51"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>ATraversal</span><span class='hs-layout'>,</span> <span class='hs-conid'>ATraversal'</span>
<a name="line-52"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>ATraversal1</span><span class='hs-layout'>,</span> <span class='hs-conid'>ATraversal1'</span>
<a name="line-53"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedTraversal</span><span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedTraversal'</span>
<a name="line-54"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedTraversal1</span><span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedTraversal1'</span>
<a name="line-55"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Traversing</span><span class='hs-layout'>,</span> <span class='hs-conid'>Traversing'</span>
<a name="line-56"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Traversing1</span><span class='hs-layout'>,</span> <span class='hs-conid'>Traversing1'</span>
<a name="line-57"></a>
<a name="line-58"></a>  <span class='hs-comment'>-- * Traversing and Lensing</span>
<a name="line-59"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>traverseOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>forOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>sequenceAOf</span>
<a name="line-60"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>mapMOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>forMOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>sequenceOf</span>
<a name="line-61"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>transposeOf</span>
<a name="line-62"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>mapAccumLOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>mapAccumROf</span>
<a name="line-63"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>scanr1Of</span><span class='hs-layout'>,</span> <span class='hs-varid'>scanl1Of</span>
<a name="line-64"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>failover</span><span class='hs-layout'>,</span> <span class='hs-varid'>ifailover</span>
<a name="line-65"></a>
<a name="line-66"></a>  <span class='hs-comment'>-- * Monomorphic Traversals</span>
<a name="line-67"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneTraversal</span>
<a name="line-68"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneIndexPreservingTraversal</span>
<a name="line-69"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneIndexedTraversal</span>
<a name="line-70"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneTraversal1</span>
<a name="line-71"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneIndexPreservingTraversal1</span>
<a name="line-72"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneIndexedTraversal1</span>
<a name="line-73"></a>
<a name="line-74"></a>  <span class='hs-comment'>-- * Parts and Holes</span>
<a name="line-75"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>partsOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>partsOf'</span>
<a name="line-76"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>unsafePartsOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>unsafePartsOf'</span>
<a name="line-77"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>holesOf</span>
<a name="line-78"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>singular</span><span class='hs-layout'>,</span> <span class='hs-varid'>unsafeSingular</span>
<a name="line-79"></a>
<a name="line-80"></a>  <span class='hs-comment'>-- * Common Traversals</span>
<a name="line-81"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Traversable</span><span class='hs-layout'>(</span><span class='hs-varid'>traverse</span><span class='hs-layout'>)</span>
<a name="line-82"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Traversable1</span><span class='hs-layout'>(</span><span class='hs-varid'>traverse1</span><span class='hs-layout'>)</span>
<a name="line-83"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>both</span>
<a name="line-84"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>beside</span>
<a name="line-85"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>taking</span>
<a name="line-86"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>dropping</span>
<a name="line-87"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>failing</span>
<a name="line-88"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>deepOf</span>
<a name="line-89"></a>
<a name="line-90"></a>  <span class='hs-comment'>-- * Indexed Traversals</span>
<a name="line-91"></a>
<a name="line-92"></a>  <span class='hs-comment'>-- ** Common</span>
<a name="line-93"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ignored</span>
<a name="line-94"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>TraverseMin</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-95"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>TraverseMax</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-96"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>traversed</span>
<a name="line-97"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>traversed1</span>
<a name="line-98"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>traversed64</span>
<a name="line-99"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>elementOf</span>
<a name="line-100"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>element</span>
<a name="line-101"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>elementsOf</span>
<a name="line-102"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>elements</span>
<a name="line-103"></a>
<a name="line-104"></a>  <span class='hs-comment'>-- ** Combinators</span>
<a name="line-105"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ipartsOf</span>
<a name="line-106"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ipartsOf'</span>
<a name="line-107"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iunsafePartsOf</span>
<a name="line-108"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iunsafePartsOf'</span>
<a name="line-109"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>itraverseOf</span>
<a name="line-110"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iforOf</span>
<a name="line-111"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapMOf</span>
<a name="line-112"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iforMOf</span>
<a name="line-113"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapAccumROf</span>
<a name="line-114"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapAccumLOf</span>
<a name="line-115"></a>
<a name="line-116"></a>  <span class='hs-comment'>-- * Reflection</span>
<a name="line-117"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>traverseBy</span>
<a name="line-118"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>traverseByOf</span>
<a name="line-119"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>sequenceBy</span>
<a name="line-120"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>sequenceByOf</span>
<a name="line-121"></a>
<a name="line-122"></a>  <span class='hs-comment'>-- * Implementation Details</span>
<a name="line-123"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Bazaar</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bazaar'</span>
<a name="line-124"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Bazaar1</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bazaar1'</span>
<a name="line-125"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>loci</span>
<a name="line-126"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iloci</span>
<a name="line-127"></a>
<a name="line-128"></a>  <span class='hs-comment'>-- * Fusion</span>
<a name="line-129"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>confusing</span>
<a name="line-130"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-131"></a>
<a name="line-132"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Applicative</span>
<a name="line-133"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-conid'>Backwards</span>
<a name="line-134"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Category</span>
<a name="line-135"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span>
<a name="line-136"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Fold</span>
<a name="line-137"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Getter</span> <span class='hs-layout'>(</span><span class='hs-conid'>Getting</span><span class='hs-layout'>,</span> <span class='hs-conid'>IndexedGetting</span><span class='hs-layout'>,</span> <span class='hs-varid'>getting</span><span class='hs-layout'>)</span>
<a name="line-138"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>Bazaar</span>
<a name="line-139"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>Context</span>
<a name="line-140"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>Indexed</span>
<a name="line-141"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-142"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Setter</span> <span class='hs-layout'>(</span><span class='hs-conid'>ASetter</span><span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedSetter</span><span class='hs-layout'>,</span> <span class='hs-varid'>isets</span><span class='hs-layout'>,</span> <span class='hs-varid'>sets</span><span class='hs-layout'>)</span>
<a name="line-143"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Type</span>
<a name="line-144"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-145"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span>
<a name="line-146"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bitraversable</span>
<a name="line-147"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &lt; 710</span>
<a name="line-148"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Foldable</span><span class='hs-layout'>)</span>
<a name="line-149"></a><span class='hs-cpp'>#endif</span>
<a name="line-150"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Compose</span>
<a name="line-151"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Kan</span><span class='hs-varop'>.</span><span class='hs-conid'>Rift</span>
<a name="line-152"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Yoneda</span>
<a name="line-153"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Int</span>
<a name="line-154"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>IntMap</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>IntMap</span>
<a name="line-155"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Map</span>
<a name="line-156"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Sequence</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span><span class='hs-layout'>,</span> <span class='hs-varid'>mapWithIndex</span><span class='hs-layout'>)</span>
<a name="line-157"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span><span class='hs-layout'>,</span> <span class='hs-varid'>imap</span><span class='hs-layout'>)</span>
<a name="line-158"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span>
<a name="line-159"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span>
<a name="line-160"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Rep</span>
<a name="line-161"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Sieve</span>
<a name="line-162"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Unsafe</span>
<a name="line-163"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Reflection</span>
<a name="line-164"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span>
<a name="line-165"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Tagged</span>
<a name="line-166"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span>
<a name="line-167"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Tuple</span> <span class='hs-layout'>(</span><span class='hs-varid'>swap</span><span class='hs-layout'>)</span>
<a name="line-168"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>GHC</span><span class='hs-varop'>.</span><span class='hs-conid'>Magic</span> <span class='hs-layout'>(</span><span class='hs-varid'>inline</span><span class='hs-layout'>)</span>
<a name="line-169"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>.</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-varid'>id</span><span class='hs-layout'>)</span>
<a name="line-170"></a>
<a name="line-171"></a><span class='hs-comment'>-- $setup</span>
<a name="line-172"></a><span class='hs-comment'>-- &gt;&gt;&gt; :set -XNoOverloadedStrings</span>
<a name="line-173"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Control.Lens</span>
<a name="line-174"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Control.DeepSeq (NFData (..), force)</span>
<a name="line-175"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Control.Exception (evaluate)</span>
<a name="line-176"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Maybe (fromMaybe)</span>
<a name="line-177"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Debug.SimpleReflect.Vars</span>
<a name="line-178"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Void</span>
<a name="line-179"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.List (sort)</span>
<a name="line-180"></a><span class='hs-comment'>-- &gt;&gt;&gt; import System.Timeout (timeout)</span>
<a name="line-181"></a><span class='hs-comment'>-- &gt;&gt;&gt; let timingOut :: NFData a =&gt; a -&gt; IO a; timingOut = fmap (fromMaybe (error "timeout")) . timeout (5*10^6) . evaluate . force</span>
<a name="line-182"></a>
<a name="line-183"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-184"></a><span class='hs-comment'>-- Traversals</span>
<a name="line-185"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-186"></a>
<a name="line-187"></a><a name="ATraversal"></a><span class='hs-comment'>-- | When you see this as an argument to a function, it expects a 'Traversal'.</span>
<a name="line-188"></a><a name="ATraversal"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ATraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-189"></a>
<a name="line-190"></a><a name="ATraversal'"></a><span class='hs-comment'>-- | @</span>
<a name="line-191"></a><a name="ATraversal'"></a><span class='hs-comment'>-- type 'ATraversal'' = 'Simple' 'ATraversal'</span>
<a name="line-192"></a><a name="ATraversal'"></a><span class='hs-comment'>-- @</span>
<a name="line-193"></a><a name="ATraversal'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ATraversal'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ATraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-194"></a>
<a name="line-195"></a>
<a name="line-196"></a><a name="ATraversal1"></a><span class='hs-comment'>-- | When you see this as an argument to a function, it expects a 'Traversal1'.</span>
<a name="line-197"></a><a name="ATraversal1"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ATraversal1</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar1</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-198"></a>
<a name="line-199"></a><a name="ATraversal1'"></a><span class='hs-comment'>-- | @</span>
<a name="line-200"></a><a name="ATraversal1'"></a><span class='hs-comment'>-- type 'ATraversal1'' = 'Simple' 'ATraversal1'</span>
<a name="line-201"></a><a name="ATraversal1'"></a><span class='hs-comment'>-- @</span>
<a name="line-202"></a><a name="ATraversal1'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ATraversal1'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ATraversal1</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-203"></a>
<a name="line-204"></a><a name="AnIndexedTraversal"></a><span class='hs-comment'>-- | When you see this as an argument to a function, it expects an 'IndexedTraversal'.</span>
<a name="line-205"></a><a name="AnIndexedTraversal"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AnIndexedTraversal</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-206"></a>
<a name="line-207"></a><a name="AnIndexedTraversal1"></a><span class='hs-comment'>-- | When you see this as an argument to a function, it expects an 'IndexedTraversal1'.</span>
<a name="line-208"></a><a name="AnIndexedTraversal1"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AnIndexedTraversal1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-209"></a>
<a name="line-210"></a><a name="AnIndexedTraversal'"></a><span class='hs-comment'>-- | @</span>
<a name="line-211"></a><a name="AnIndexedTraversal'"></a><span class='hs-comment'>-- type 'AnIndexedTraversal'' = 'Simple' ('AnIndexedTraversal' i)</span>
<a name="line-212"></a><a name="AnIndexedTraversal'"></a><span class='hs-comment'>-- @</span>
<a name="line-213"></a><a name="AnIndexedTraversal'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AnIndexedTraversal'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>AnIndexedTraversal</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-214"></a>
<a name="line-215"></a><a name="AnIndexedTraversal1'"></a><span class='hs-comment'>-- | @</span>
<a name="line-216"></a><a name="AnIndexedTraversal1'"></a><span class='hs-comment'>-- type 'AnIndexedTraversal1'' = 'Simple' ('AnIndexedTraversal1' i)</span>
<a name="line-217"></a><a name="AnIndexedTraversal1'"></a><span class='hs-comment'>-- @</span>
<a name="line-218"></a><a name="AnIndexedTraversal1'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AnIndexedTraversal1'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>AnIndexedTraversal1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-219"></a>
<a name="line-220"></a>
<a name="line-221"></a><a name="Traversing"></a><span class='hs-comment'>-- | When you see this as an argument to a function, it expects</span>
<a name="line-222"></a><a name="Traversing"></a><span class='hs-comment'>--</span>
<a name="line-223"></a><a name="Traversing"></a><span class='hs-comment'>--  * to be indexed if @p@ is an instance of 'Indexed' i,</span>
<a name="line-224"></a><a name="Traversing"></a><span class='hs-comment'>--</span>
<a name="line-225"></a><a name="Traversing"></a><span class='hs-comment'>--  * to be unindexed if @p@ is @(-&gt;)@,</span>
<a name="line-226"></a><a name="Traversing"></a><span class='hs-comment'>--</span>
<a name="line-227"></a><a name="Traversing"></a><span class='hs-comment'>--  * a 'Traversal' if @f@ is 'Applicative',</span>
<a name="line-228"></a><a name="Traversing"></a><span class='hs-comment'>--</span>
<a name="line-229"></a><a name="Traversing"></a><span class='hs-comment'>--  * a 'Getter' if @f@ is only a 'Functor' and 'Contravariant',</span>
<a name="line-230"></a><a name="Traversing"></a><span class='hs-comment'>--</span>
<a name="line-231"></a><a name="Traversing"></a><span class='hs-comment'>--  * a 'Lens' if @p@ is only a 'Functor',</span>
<a name="line-232"></a><a name="Traversing"></a><span class='hs-comment'>--</span>
<a name="line-233"></a><a name="Traversing"></a><span class='hs-comment'>--  * a 'Fold' if @f@ is 'Functor', 'Contravariant' and 'Applicative'.</span>
<a name="line-234"></a><a name="Traversing"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-conid'>BazaarT</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-235"></a>
<a name="line-236"></a><a name="Traversing1"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Traversing1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-conid'>BazaarT1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-237"></a>
<a name="line-238"></a><a name="Traversing'"></a><span class='hs-comment'>-- | @</span>
<a name="line-239"></a><a name="Traversing'"></a><span class='hs-comment'>-- type 'Traversing'' f = 'Simple' ('Traversing' f)</span>
<a name="line-240"></a><a name="Traversing'"></a><span class='hs-comment'>-- @</span>
<a name="line-241"></a><a name="Traversing'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Traversing'</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-242"></a><a name="Traversing1'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Traversing1'</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Traversing1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-243"></a>
<a name="line-244"></a><span class='hs-comment'>--------------------------</span>
<a name="line-245"></a><span class='hs-comment'>-- Traversal Combinators</span>
<a name="line-246"></a><span class='hs-comment'>--------------------------</span>
<a name="line-247"></a>
<a name="line-248"></a><a name="traverseOf"></a><span class='hs-comment'>-- | Map each element of a structure targeted by a 'Lens' or 'Traversal',</span>
<a name="line-249"></a><span class='hs-comment'>-- evaluate these actions from left to right, and collect the results.</span>
<a name="line-250"></a><span class='hs-comment'>--</span>
<a name="line-251"></a><span class='hs-comment'>-- This function is only provided for consistency, 'id' is strictly more general.</span>
<a name="line-252"></a><span class='hs-comment'>--</span>
<a name="line-253"></a><span class='hs-comment'>-- &gt;&gt;&gt; traverseOf each print (1,2,3)</span>
<a name="line-254"></a><span class='hs-comment'>-- 1</span>
<a name="line-255"></a><span class='hs-comment'>-- 2</span>
<a name="line-256"></a><span class='hs-comment'>-- 3</span>
<a name="line-257"></a><span class='hs-comment'>-- ((),(),())</span>
<a name="line-258"></a><span class='hs-comment'>--</span>
<a name="line-259"></a><span class='hs-comment'>-- @</span>
<a name="line-260"></a><span class='hs-comment'>-- 'traverseOf' ≡ 'id'</span>
<a name="line-261"></a><span class='hs-comment'>-- 'itraverseOf' l ≡ 'traverseOf' l '.' 'Indexed'</span>
<a name="line-262"></a><span class='hs-comment'>-- 'itraverseOf' 'itraversed' ≡ 'itraverse'</span>
<a name="line-263"></a><span class='hs-comment'>-- @</span>
<a name="line-264"></a><span class='hs-comment'>--</span>
<a name="line-265"></a><span class='hs-comment'>--</span>
<a name="line-266"></a><span class='hs-comment'>-- This yields the obvious law:</span>
<a name="line-267"></a><span class='hs-comment'>--</span>
<a name="line-268"></a><span class='hs-comment'>-- @</span>
<a name="line-269"></a><span class='hs-comment'>-- 'traverse' ≡ 'traverseOf' 'traverse'</span>
<a name="line-270"></a><span class='hs-comment'>-- @</span>
<a name="line-271"></a><span class='hs-comment'>--</span>
<a name="line-272"></a><span class='hs-comment'>-- @</span>
<a name="line-273"></a><span class='hs-comment'>-- 'traverseOf' :: 'Functor' f =&gt; 'Iso' s t a b       -&gt; (a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-274"></a><span class='hs-comment'>-- 'traverseOf' :: 'Functor' f =&gt; 'Lens' s t a b      -&gt; (a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-275"></a><span class='hs-comment'>-- 'traverseOf' :: 'Applicative' f =&gt; 'Traversal' s t a b -&gt; (a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-276"></a><span class='hs-comment'>-- @</span>
<a name="line-277"></a><span class='hs-definition'>traverseOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-278"></a><span class='hs-definition'>traverseOf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-279"></a><span class='hs-comment'>{-# INLINE traverseOf #-}</span>
<a name="line-280"></a>
<a name="line-281"></a><a name="forOf"></a><span class='hs-comment'>-- | A version of 'traverseOf' with the arguments flipped, such that:</span>
<a name="line-282"></a><span class='hs-comment'>--</span>
<a name="line-283"></a><span class='hs-comment'>-- &gt;&gt;&gt; forOf each (1,2,3) print</span>
<a name="line-284"></a><span class='hs-comment'>-- 1</span>
<a name="line-285"></a><span class='hs-comment'>-- 2</span>
<a name="line-286"></a><span class='hs-comment'>-- 3</span>
<a name="line-287"></a><span class='hs-comment'>-- ((),(),())</span>
<a name="line-288"></a><span class='hs-comment'>--</span>
<a name="line-289"></a><span class='hs-comment'>-- This function is only provided for consistency, 'flip' is strictly more general.</span>
<a name="line-290"></a><span class='hs-comment'>--</span>
<a name="line-291"></a><span class='hs-comment'>-- @</span>
<a name="line-292"></a><span class='hs-comment'>-- 'forOf' ≡ 'flip'</span>
<a name="line-293"></a><span class='hs-comment'>-- 'forOf' ≡ 'flip' . 'traverseOf'</span>
<a name="line-294"></a><span class='hs-comment'>-- @</span>
<a name="line-295"></a><span class='hs-comment'>--</span>
<a name="line-296"></a><span class='hs-comment'>-- @</span>
<a name="line-297"></a><span class='hs-comment'>-- 'for' ≡ 'forOf' 'traverse'</span>
<a name="line-298"></a><span class='hs-comment'>-- 'Control.Lens.Indexed.ifor' l s ≡ 'for' l s '.' 'Indexed'</span>
<a name="line-299"></a><span class='hs-comment'>-- @</span>
<a name="line-300"></a><span class='hs-comment'>--</span>
<a name="line-301"></a><span class='hs-comment'>-- @</span>
<a name="line-302"></a><span class='hs-comment'>-- 'forOf' :: 'Functor' f =&gt; 'Iso' s t a b -&gt; s -&gt; (a -&gt; f b) -&gt; f t</span>
<a name="line-303"></a><span class='hs-comment'>-- 'forOf' :: 'Functor' f =&gt; 'Lens' s t a b -&gt; s -&gt; (a -&gt; f b) -&gt; f t</span>
<a name="line-304"></a><span class='hs-comment'>-- 'forOf' :: 'Applicative' f =&gt; 'Traversal' s t a b -&gt; s -&gt; (a -&gt; f b) -&gt; f t</span>
<a name="line-305"></a><span class='hs-comment'>-- @</span>
<a name="line-306"></a><span class='hs-definition'>forOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-307"></a><span class='hs-definition'>forOf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span>
<a name="line-308"></a><span class='hs-comment'>{-# INLINE forOf #-}</span>
<a name="line-309"></a>
<a name="line-310"></a><a name="sequenceAOf"></a><span class='hs-comment'>-- | Evaluate each action in the structure from left to right, and collect</span>
<a name="line-311"></a><span class='hs-comment'>-- the results.</span>
<a name="line-312"></a><span class='hs-comment'>--</span>
<a name="line-313"></a><span class='hs-comment'>-- &gt;&gt;&gt; sequenceAOf both ([1,2],[3,4])</span>
<a name="line-314"></a><span class='hs-comment'>-- [(1,3),(1,4),(2,3),(2,4)]</span>
<a name="line-315"></a><span class='hs-comment'>--</span>
<a name="line-316"></a><span class='hs-comment'>-- @</span>
<a name="line-317"></a><span class='hs-comment'>-- 'sequenceA' ≡ 'sequenceAOf' 'traverse' ≡ 'traverse' 'id'</span>
<a name="line-318"></a><span class='hs-comment'>-- 'sequenceAOf' l ≡ 'traverseOf' l 'id' ≡ l 'id'</span>
<a name="line-319"></a><span class='hs-comment'>-- @</span>
<a name="line-320"></a><span class='hs-comment'>--</span>
<a name="line-321"></a><span class='hs-comment'>-- @</span>
<a name="line-322"></a><span class='hs-comment'>-- 'sequenceAOf' :: 'Functor' f =&gt; 'Iso' s t (f b) b       -&gt; s -&gt; f t</span>
<a name="line-323"></a><span class='hs-comment'>-- 'sequenceAOf' :: 'Functor' f =&gt; 'Lens' s t (f b) b      -&gt; s -&gt; f t</span>
<a name="line-324"></a><span class='hs-comment'>-- 'sequenceAOf' :: 'Applicative' f =&gt; 'Traversal' s t (f b) b -&gt; s -&gt; f t</span>
<a name="line-325"></a><span class='hs-comment'>-- @</span>
<a name="line-326"></a><span class='hs-definition'>sequenceAOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-327"></a><span class='hs-definition'>sequenceAOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>id</span>
<a name="line-328"></a><span class='hs-comment'>{-# INLINE sequenceAOf #-}</span>
<a name="line-329"></a>
<a name="line-330"></a><a name="mapMOf"></a><span class='hs-comment'>-- | Map each element of a structure targeted by a 'Lens' to a monadic action,</span>
<a name="line-331"></a><span class='hs-comment'>-- evaluate these actions from left to right, and collect the results.</span>
<a name="line-332"></a><span class='hs-comment'>--</span>
<a name="line-333"></a><span class='hs-comment'>-- &gt;&gt;&gt; mapMOf both (\x -&gt; [x, x + 1]) (1,3)</span>
<a name="line-334"></a><span class='hs-comment'>-- [(1,3),(1,4),(2,3),(2,4)]</span>
<a name="line-335"></a><span class='hs-comment'>--</span>
<a name="line-336"></a><span class='hs-comment'>-- @</span>
<a name="line-337"></a><span class='hs-comment'>-- 'mapM' ≡ 'mapMOf' 'traverse'</span>
<a name="line-338"></a><span class='hs-comment'>-- 'imapMOf' l ≡ 'forM' l '.' 'Indexed'</span>
<a name="line-339"></a><span class='hs-comment'>-- @</span>
<a name="line-340"></a><span class='hs-comment'>--</span>
<a name="line-341"></a><span class='hs-comment'>-- @</span>
<a name="line-342"></a><span class='hs-comment'>-- 'mapMOf' :: 'Monad' m =&gt; 'Iso' s t a b       -&gt; (a -&gt; m b) -&gt; s -&gt; m t</span>
<a name="line-343"></a><span class='hs-comment'>-- 'mapMOf' :: 'Monad' m =&gt; 'Lens' s t a b      -&gt; (a -&gt; m b) -&gt; s -&gt; m t</span>
<a name="line-344"></a><span class='hs-comment'>-- 'mapMOf' :: 'Monad' m =&gt; 'Traversal' s t a b -&gt; (a -&gt; m b) -&gt; s -&gt; m t</span>
<a name="line-345"></a><span class='hs-comment'>-- @</span>
<a name="line-346"></a><span class='hs-definition'>mapMOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-347"></a><span class='hs-definition'>mapMOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>cmd</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>cmd</span><span class='hs-layout'>)</span>
<a name="line-348"></a><span class='hs-comment'>{-# INLINE mapMOf #-}</span>
<a name="line-349"></a>
<a name="line-350"></a><a name="forMOf"></a><span class='hs-comment'>-- | 'forMOf' is a flipped version of 'mapMOf', consistent with the definition of 'forM'.</span>
<a name="line-351"></a><span class='hs-comment'>--</span>
<a name="line-352"></a><span class='hs-comment'>-- &gt;&gt;&gt; forMOf both (1,3) $ \x -&gt; [x, x + 1]</span>
<a name="line-353"></a><span class='hs-comment'>-- [(1,3),(1,4),(2,3),(2,4)]</span>
<a name="line-354"></a><span class='hs-comment'>--</span>
<a name="line-355"></a><span class='hs-comment'>-- @</span>
<a name="line-356"></a><span class='hs-comment'>-- 'forM' ≡ 'forMOf' 'traverse'</span>
<a name="line-357"></a><span class='hs-comment'>-- 'forMOf' l ≡ 'flip' ('mapMOf' l)</span>
<a name="line-358"></a><span class='hs-comment'>-- 'iforMOf' l s ≡ 'forM' l s '.' 'Indexed'</span>
<a name="line-359"></a><span class='hs-comment'>-- @</span>
<a name="line-360"></a><span class='hs-comment'>--</span>
<a name="line-361"></a><span class='hs-comment'>-- @</span>
<a name="line-362"></a><span class='hs-comment'>-- 'forMOf' :: 'Monad' m =&gt; 'Iso' s t a b       -&gt; s -&gt; (a -&gt; m b) -&gt; m t</span>
<a name="line-363"></a><span class='hs-comment'>-- 'forMOf' :: 'Monad' m =&gt; 'Lens' s t a b      -&gt; s -&gt; (a -&gt; m b) -&gt; m t</span>
<a name="line-364"></a><span class='hs-comment'>-- 'forMOf' :: 'Monad' m =&gt; 'Traversal' s t a b -&gt; s -&gt; (a -&gt; m b) -&gt; m t</span>
<a name="line-365"></a><span class='hs-comment'>-- @</span>
<a name="line-366"></a><span class='hs-definition'>forMOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-367"></a><span class='hs-definition'>forMOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>a</span> <span class='hs-varid'>cmd</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonad</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>cmd</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-368"></a><span class='hs-comment'>{-# INLINE forMOf #-}</span>
<a name="line-369"></a>
<a name="line-370"></a><a name="sequenceOf"></a><span class='hs-comment'>-- | Sequence the (monadic) effects targeted by a 'Lens' in a container from left to right.</span>
<a name="line-371"></a><span class='hs-comment'>--</span>
<a name="line-372"></a><span class='hs-comment'>-- &gt;&gt;&gt; sequenceOf each ([1,2],[3,4],[5,6])</span>
<a name="line-373"></a><span class='hs-comment'>-- [(1,3,5),(1,3,6),(1,4,5),(1,4,6),(2,3,5),(2,3,6),(2,4,5),(2,4,6)]</span>
<a name="line-374"></a><span class='hs-comment'>--</span>
<a name="line-375"></a><span class='hs-comment'>-- @</span>
<a name="line-376"></a><span class='hs-comment'>-- 'sequence' ≡ 'sequenceOf' 'traverse'</span>
<a name="line-377"></a><span class='hs-comment'>-- 'sequenceOf' l ≡ 'mapMOf' l 'id'</span>
<a name="line-378"></a><span class='hs-comment'>-- 'sequenceOf' l ≡ 'unwrapMonad' '.' l 'WrapMonad'</span>
<a name="line-379"></a><span class='hs-comment'>-- @</span>
<a name="line-380"></a><span class='hs-comment'>--</span>
<a name="line-381"></a><span class='hs-comment'>-- @</span>
<a name="line-382"></a><span class='hs-comment'>-- 'sequenceOf' :: 'Monad' m =&gt; 'Iso' s t (m b) b       -&gt; s -&gt; m t</span>
<a name="line-383"></a><span class='hs-comment'>-- 'sequenceOf' :: 'Monad' m =&gt; 'Lens' s t (m b) b      -&gt; s -&gt; m t</span>
<a name="line-384"></a><span class='hs-comment'>-- 'sequenceOf' :: 'Monad' m =&gt; 'Traversal' s t (m b) b -&gt; s -&gt; m t</span>
<a name="line-385"></a><span class='hs-comment'>-- @</span>
<a name="line-386"></a><span class='hs-definition'>sequenceOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-387"></a><span class='hs-definition'>sequenceOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-conid'>WrapMonad</span>
<a name="line-388"></a><span class='hs-comment'>{-# INLINE sequenceOf #-}</span>
<a name="line-389"></a>
<a name="line-390"></a><a name="transposeOf"></a><span class='hs-comment'>-- | This generalizes 'Data.List.transpose' to an arbitrary 'Traversal'.</span>
<a name="line-391"></a><span class='hs-comment'>--</span>
<a name="line-392"></a><span class='hs-comment'>-- Note: 'Data.List.transpose' handles ragged inputs more intelligently, but for non-ragged inputs:</span>
<a name="line-393"></a><span class='hs-comment'>--</span>
<a name="line-394"></a><span class='hs-comment'>-- &gt;&gt;&gt; transposeOf traverse [[1,2,3],[4,5,6]]</span>
<a name="line-395"></a><span class='hs-comment'>-- [[1,4],[2,5],[3,6]]</span>
<a name="line-396"></a><span class='hs-comment'>--</span>
<a name="line-397"></a><span class='hs-comment'>-- @</span>
<a name="line-398"></a><span class='hs-comment'>-- 'Data.List.transpose' ≡ 'transposeOf' 'traverse'</span>
<a name="line-399"></a><span class='hs-comment'>-- @</span>
<a name="line-400"></a><span class='hs-comment'>--</span>
<a name="line-401"></a><span class='hs-comment'>-- Since every 'Lens' is a 'Traversal', we can use this as a form of</span>
<a name="line-402"></a><span class='hs-comment'>-- monadic strength as well:</span>
<a name="line-403"></a><span class='hs-comment'>--</span>
<a name="line-404"></a><span class='hs-comment'>-- @</span>
<a name="line-405"></a><span class='hs-comment'>-- 'transposeOf' 'Control.Lens.Tuple._2' :: (b, [a]) -&gt; [(b, a)]</span>
<a name="line-406"></a><span class='hs-comment'>-- @</span>
<a name="line-407"></a><span class='hs-definition'>transposeOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-conid'>ZipList</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>t</span><span class='hs-keyglyph'>]</span>
<a name="line-408"></a><span class='hs-definition'>transposeOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getZipList</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-conid'>ZipList</span>
<a name="line-409"></a><span class='hs-comment'>{-# INLINE transposeOf #-}</span>
<a name="line-410"></a>
<a name="line-411"></a><a name="mapAccumROf"></a><span class='hs-comment'>-- | This generalizes 'Data.Traversable.mapAccumR' to an arbitrary 'Traversal'.</span>
<a name="line-412"></a><span class='hs-comment'>--</span>
<a name="line-413"></a><span class='hs-comment'>-- @</span>
<a name="line-414"></a><span class='hs-comment'>-- 'mapAccumR' ≡ 'mapAccumROf' 'traverse'</span>
<a name="line-415"></a><span class='hs-comment'>-- @</span>
<a name="line-416"></a><span class='hs-comment'>--</span>
<a name="line-417"></a><span class='hs-comment'>-- 'mapAccumROf' accumulates 'State' from right to left.</span>
<a name="line-418"></a><span class='hs-comment'>--</span>
<a name="line-419"></a><span class='hs-comment'>-- @</span>
<a name="line-420"></a><span class='hs-comment'>-- 'mapAccumROf' :: 'Iso' s t a b       -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-421"></a><span class='hs-comment'>-- 'mapAccumROf' :: 'Lens' s t a b      -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-422"></a><span class='hs-comment'>-- 'mapAccumROf' :: 'Traversal' s t a b -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-423"></a><span class='hs-comment'>-- @</span>
<a name="line-424"></a><span class='hs-comment'>--</span>
<a name="line-425"></a><span class='hs-comment'>-- @</span>
<a name="line-426"></a><span class='hs-comment'>-- 'mapAccumROf' :: 'LensLike' ('Backwards' ('State' acc)) s t a b -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-427"></a><span class='hs-comment'>-- @</span>
<a name="line-428"></a><span class='hs-definition'>mapAccumROf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span> <span class='hs-varid'>acc</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-429"></a><span class='hs-definition'>mapAccumROf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapAccumLOf</span> <span class='hs-varop'>.</span> <span class='hs-varid'>backwards</span>
<a name="line-430"></a><span class='hs-comment'>{-# INLINE mapAccumROf #-}</span>
<a name="line-431"></a>
<a name="line-432"></a><a name="mapAccumLOf"></a><span class='hs-comment'>-- | This generalizes 'Data.Traversable.mapAccumL' to an arbitrary 'Traversal'.</span>
<a name="line-433"></a><span class='hs-comment'>--</span>
<a name="line-434"></a><span class='hs-comment'>-- @</span>
<a name="line-435"></a><span class='hs-comment'>-- 'mapAccumL' ≡ 'mapAccumLOf' 'traverse'</span>
<a name="line-436"></a><span class='hs-comment'>-- @</span>
<a name="line-437"></a><span class='hs-comment'>--</span>
<a name="line-438"></a><span class='hs-comment'>-- 'mapAccumLOf' accumulates 'State' from left to right.</span>
<a name="line-439"></a><span class='hs-comment'>--</span>
<a name="line-440"></a><span class='hs-comment'>-- @</span>
<a name="line-441"></a><span class='hs-comment'>-- 'mapAccumLOf' :: 'Iso' s t a b       -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-442"></a><span class='hs-comment'>-- 'mapAccumLOf' :: 'Lens' s t a b      -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-443"></a><span class='hs-comment'>-- 'mapAccumLOf' :: 'Traversal' s t a b -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-444"></a><span class='hs-comment'>-- @</span>
<a name="line-445"></a><span class='hs-comment'>--</span>
<a name="line-446"></a><span class='hs-comment'>-- @</span>
<a name="line-447"></a><span class='hs-comment'>-- 'mapAccumLOf' :: 'LensLike' ('State' acc) s t a b -&gt; (acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-448"></a><span class='hs-comment'>-- 'mapAccumLOf' l f acc0 s = 'swap' ('runState' (l (\a -&gt; 'state' (\acc -&gt; 'swap' (f acc a))) s) acc0)</span>
<a name="line-449"></a><span class='hs-comment'>-- @</span>
<a name="line-450"></a><span class='hs-comment'>--</span>
<a name="line-451"></a><span class='hs-definition'>mapAccumLOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span> <span class='hs-varid'>acc</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-452"></a><span class='hs-definition'>mapAccumLOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>acc0</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>swap</span> <span class='hs-layout'>(</span><span class='hs-varid'>runState</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>g</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>acc0</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-453"></a>   <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>state</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>swap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>acc</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-454"></a><span class='hs-comment'>-- This would be much cleaner if the argument order for the function was swapped.</span>
<a name="line-455"></a><span class='hs-comment'>{-# INLINE mapAccumLOf #-}</span>
<a name="line-456"></a>
<a name="line-457"></a><a name="scanr1Of"></a><span class='hs-comment'>-- | This permits the use of 'scanr1' over an arbitrary 'Traversal' or 'Lens'.</span>
<a name="line-458"></a><span class='hs-comment'>--</span>
<a name="line-459"></a><span class='hs-comment'>-- @</span>
<a name="line-460"></a><span class='hs-comment'>-- 'scanr1' ≡ 'scanr1Of' 'traverse'</span>
<a name="line-461"></a><span class='hs-comment'>-- @</span>
<a name="line-462"></a><span class='hs-comment'>--</span>
<a name="line-463"></a><span class='hs-comment'>-- @</span>
<a name="line-464"></a><span class='hs-comment'>-- 'scanr1Of' :: 'Iso' s t a a       -&gt; (a -&gt; a -&gt; a) -&gt; s -&gt; t</span>
<a name="line-465"></a><span class='hs-comment'>-- 'scanr1Of' :: 'Lens' s t a a      -&gt; (a -&gt; a -&gt; a) -&gt; s -&gt; t</span>
<a name="line-466"></a><span class='hs-comment'>-- 'scanr1Of' :: 'Traversal' s t a a -&gt; (a -&gt; a -&gt; a) -&gt; s -&gt; t</span>
<a name="line-467"></a><span class='hs-comment'>-- @</span>
<a name="line-468"></a><span class='hs-definition'>scanr1Of</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-469"></a><span class='hs-definition'>scanr1Of</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>mapAccumROf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>step</span> <span class='hs-conid'>Nothing</span> <span class='hs-keyword'>where</span>
<a name="line-470"></a>  <span class='hs-varid'>step</span> <span class='hs-conid'>Nothing</span> <span class='hs-varid'>a</span>  <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-471"></a>  <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>s</span>
<a name="line-472"></a><span class='hs-comment'>{-# INLINE scanr1Of #-}</span>
<a name="line-473"></a>
<a name="line-474"></a><a name="scanl1Of"></a><span class='hs-comment'>-- | This permits the use of 'scanl1' over an arbitrary 'Traversal' or 'Lens'.</span>
<a name="line-475"></a><span class='hs-comment'>--</span>
<a name="line-476"></a><span class='hs-comment'>-- @</span>
<a name="line-477"></a><span class='hs-comment'>-- 'scanl1' ≡ 'scanl1Of' 'traverse'</span>
<a name="line-478"></a><span class='hs-comment'>-- @</span>
<a name="line-479"></a><span class='hs-comment'>--</span>
<a name="line-480"></a><span class='hs-comment'>-- @</span>
<a name="line-481"></a><span class='hs-comment'>-- 'scanl1Of' :: 'Iso' s t a a       -&gt; (a -&gt; a -&gt; a) -&gt; s -&gt; t</span>
<a name="line-482"></a><span class='hs-comment'>-- 'scanl1Of' :: 'Lens' s t a a      -&gt; (a -&gt; a -&gt; a) -&gt; s -&gt; t</span>
<a name="line-483"></a><span class='hs-comment'>-- 'scanl1Of' :: 'Traversal' s t a a -&gt; (a -&gt; a -&gt; a) -&gt; s -&gt; t</span>
<a name="line-484"></a><span class='hs-comment'>-- @</span>
<a name="line-485"></a><span class='hs-definition'>scanl1Of</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-486"></a><span class='hs-definition'>scanl1Of</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>mapAccumLOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>step</span> <span class='hs-conid'>Nothing</span> <span class='hs-keyword'>where</span>
<a name="line-487"></a>  <span class='hs-varid'>step</span> <span class='hs-conid'>Nothing</span> <span class='hs-varid'>a</span>  <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-488"></a>  <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span>
<a name="line-489"></a><span class='hs-comment'>{-# INLINE scanl1Of #-}</span>
<a name="line-490"></a>
<a name="line-491"></a><a name="loci"></a><span class='hs-comment'>-- | This 'Traversal' allows you to 'traverse' the individual stores in a 'Bazaar'.</span>
<a name="line-492"></a><span class='hs-definition'>loci</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversal</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-493"></a><span class='hs-definition'>loci</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getCompose</span> <span class='hs-layout'>(</span><span class='hs-varid'>runBazaar</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>sell</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-494"></a><span class='hs-comment'>{-# INLINE loci #-}</span>
<a name="line-495"></a>
<a name="line-496"></a><a name="iloci"></a><span class='hs-comment'>-- | This 'IndexedTraversal' allows you to 'traverse' the individual stores in</span>
<a name="line-497"></a><span class='hs-comment'>-- a 'Bazaar' with access to their indices.</span>
<a name="line-498"></a><span class='hs-definition'>iloci</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IndexedTraversal</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-499"></a><span class='hs-definition'>iloci</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getCompose</span> <span class='hs-layout'>(</span><span class='hs-varid'>runBazaar</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-cpp'>#.</span> <span class='hs-conid'>Indexed</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-500"></a><span class='hs-comment'>{-# INLINE iloci #-}</span>
<a name="line-501"></a>
<a name="line-502"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-503"></a><span class='hs-comment'>-- Parts and Holes</span>
<a name="line-504"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-505"></a>
<a name="line-506"></a><a name="partsOf"></a><span class='hs-comment'>-- | 'partsOf' turns a 'Traversal' into a 'Lens' that resembles an early version of the 'Data.Data.Lens.uniplate' (or 'Data.Data.Lens.biplate') type.</span>
<a name="line-507"></a><span class='hs-comment'>--</span>
<a name="line-508"></a><span class='hs-comment'>-- /Note:/ You should really try to maintain the invariant of the number of children in the list.</span>
<a name="line-509"></a><span class='hs-comment'>--</span>
<a name="line-510"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b,c) &amp; partsOf each .~ [x,y,z]</span>
<a name="line-511"></a><span class='hs-comment'>-- (x,y,z)</span>
<a name="line-512"></a><span class='hs-comment'>--</span>
<a name="line-513"></a><span class='hs-comment'>-- Any extras will be lost. If you do not supply enough, then the remainder will come from the original structure.</span>
<a name="line-514"></a><span class='hs-comment'>--</span>
<a name="line-515"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b,c) &amp; partsOf each .~ [w,x,y,z]</span>
<a name="line-516"></a><span class='hs-comment'>-- (w,x,y)</span>
<a name="line-517"></a><span class='hs-comment'>--</span>
<a name="line-518"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b,c) &amp; partsOf each .~ [x,y]</span>
<a name="line-519"></a><span class='hs-comment'>-- (x,y,c)</span>
<a name="line-520"></a><span class='hs-comment'>--</span>
<a name="line-521"></a><span class='hs-comment'>-- &gt;&gt;&gt; ('b', 'a', 'd', 'c') &amp; partsOf each %~ sort</span>
<a name="line-522"></a><span class='hs-comment'>-- ('a','b','c','d')</span>
<a name="line-523"></a><span class='hs-comment'>--</span>
<a name="line-524"></a><span class='hs-comment'>-- So technically, this is only a 'Lens' if you do not change the number of results it returns.</span>
<a name="line-525"></a><span class='hs-comment'>--</span>
<a name="line-526"></a><span class='hs-comment'>-- When applied to a 'Fold' the result is merely a 'Getter'.</span>
<a name="line-527"></a><span class='hs-comment'>--</span>
<a name="line-528"></a><span class='hs-comment'>-- @</span>
<a name="line-529"></a><span class='hs-comment'>-- 'partsOf' :: 'Iso'' s a       -&gt; 'Lens'' s [a]</span>
<a name="line-530"></a><span class='hs-comment'>-- 'partsOf' :: 'Lens'' s a      -&gt; 'Lens'' s [a]</span>
<a name="line-531"></a><span class='hs-comment'>-- 'partsOf' :: 'Traversal'' s a -&gt; 'Lens'' s [a]</span>
<a name="line-532"></a><span class='hs-comment'>-- 'partsOf' :: 'Fold' s a       -&gt; 'Getter' s [a]</span>
<a name="line-533"></a><span class='hs-comment'>-- 'partsOf' :: 'Getter' s a     -&gt; 'Getter' s [a]</span>
<a name="line-534"></a><span class='hs-comment'>-- @</span>
<a name="line-535"></a><span class='hs-definition'>partsOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-536"></a><span class='hs-definition'>partsOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-537"></a><span class='hs-comment'>{-# INLINE partsOf #-}</span>
<a name="line-538"></a>
<a name="line-539"></a><a name="ipartsOf"></a><span class='hs-comment'>-- | An indexed version of 'partsOf' that receives the entire list of indices as its index.</span>
<a name="line-540"></a><span class='hs-definition'>ipartsOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexable</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-541"></a><span class='hs-definition'>ipartsOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-542"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>                            <span class='hs-keyword'>in</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>wins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-543"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span><span class='hs-layout'>;</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span><span class='hs-layout'>,</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip</span> <span class='hs-layout'>(</span><span class='hs-varid'>pins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-544"></a><span class='hs-comment'>{-# INLINE ipartsOf #-}</span>
<a name="line-545"></a>
<a name="line-546"></a><a name="partsOf'"></a><span class='hs-comment'>-- | A type-restricted version of 'partsOf' that can only be used with a 'Traversal'.</span>
<a name="line-547"></a><span class='hs-definition'>partsOf'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ATraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Lens</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-548"></a><span class='hs-definition'>partsOf'</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-549"></a><span class='hs-comment'>{-# INLINE partsOf' #-}</span>
<a name="line-550"></a>
<a name="line-551"></a><a name="ipartsOf'"></a><span class='hs-comment'>-- | A type-restricted version of 'ipartsOf' that can only be used with an 'IndexedTraversal'.</span>
<a name="line-552"></a><span class='hs-definition'>ipartsOf'</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexable</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar'</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-553"></a><span class='hs-definition'>ipartsOf'</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-554"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>                            <span class='hs-keyword'>in</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>wins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-555"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span><span class='hs-layout'>;</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span><span class='hs-layout'>,</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip</span> <span class='hs-layout'>(</span><span class='hs-varid'>pins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-556"></a><span class='hs-comment'>{-# INLINE ipartsOf' #-}</span>
<a name="line-557"></a>
<a name="line-558"></a><a name="unsafePartsOf"></a><span class='hs-comment'>-- | 'unsafePartsOf' turns a 'Traversal' into a 'Data.Data.Lens.uniplate' (or 'Data.Data.Lens.biplate') family.</span>
<a name="line-559"></a><span class='hs-comment'>--</span>
<a name="line-560"></a><span class='hs-comment'>-- If you do not need the types of @s@ and @t@ to be different, it is recommended that</span>
<a name="line-561"></a><span class='hs-comment'>-- you use 'partsOf'.</span>
<a name="line-562"></a><span class='hs-comment'>--</span>
<a name="line-563"></a><span class='hs-comment'>-- It is generally safer to traverse with the 'Bazaar' rather than use this</span>
<a name="line-564"></a><span class='hs-comment'>-- combinator. However, it is sometimes convenient.</span>
<a name="line-565"></a><span class='hs-comment'>--</span>
<a name="line-566"></a><span class='hs-comment'>-- This is unsafe because if you don't supply at least as many @b@'s as you were</span>
<a name="line-567"></a><span class='hs-comment'>-- given @a@'s, then the reconstruction of @t@ /will/ result in an error!</span>
<a name="line-568"></a><span class='hs-comment'>--</span>
<a name="line-569"></a><span class='hs-comment'>-- When applied to a 'Fold' the result is merely a 'Getter' (and becomes safe).</span>
<a name="line-570"></a><span class='hs-comment'>--</span>
<a name="line-571"></a><span class='hs-comment'>-- @</span>
<a name="line-572"></a><span class='hs-comment'>-- 'unsafePartsOf' :: 'Iso' s t a b       -&gt; 'Lens' s t [a] [b]</span>
<a name="line-573"></a><span class='hs-comment'>-- 'unsafePartsOf' :: 'Lens' s t a b      -&gt; 'Lens' s t [a] [b]</span>
<a name="line-574"></a><span class='hs-comment'>-- 'unsafePartsOf' :: 'Traversal' s t a b -&gt; 'Lens' s t [a] [b]</span>
<a name="line-575"></a><span class='hs-comment'>-- 'unsafePartsOf' :: 'Fold' s a          -&gt; 'Getter' s [a]</span>
<a name="line-576"></a><span class='hs-comment'>-- 'unsafePartsOf' :: 'Getter' s a        -&gt; 'Getter' s [a]</span>
<a name="line-577"></a><span class='hs-comment'>-- @</span>
<a name="line-578"></a><span class='hs-definition'>unsafePartsOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-579"></a><span class='hs-definition'>unsafePartsOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-580"></a><span class='hs-comment'>{-# INLINE unsafePartsOf #-}</span>
<a name="line-581"></a>
<a name="line-582"></a><a name="iunsafePartsOf"></a><span class='hs-comment'>-- | An indexed version of 'unsafePartsOf' that receives the entire list of indices as its index.</span>
<a name="line-583"></a><span class='hs-definition'>iunsafePartsOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexable</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-584"></a><span class='hs-definition'>iunsafePartsOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-585"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>                           <span class='hs-keyword'>in</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>wins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-586"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span><span class='hs-layout'>;</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span><span class='hs-layout'>,</span><span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip</span> <span class='hs-layout'>(</span><span class='hs-varid'>pins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-587"></a><span class='hs-comment'>{-# INLINE iunsafePartsOf #-}</span>
<a name="line-588"></a>
<a name="line-589"></a><a name="unsafePartsOf'"></a><span class='hs-definition'>unsafePartsOf'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ATraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Lens</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-590"></a><span class='hs-definition'>unsafePartsOf'</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-591"></a><span class='hs-comment'>{-# INLINE unsafePartsOf' #-}</span>
<a name="line-592"></a>
<a name="line-593"></a><a name="iunsafePartsOf'"></a><span class='hs-definition'>iunsafePartsOf'</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-varop'>.</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedLens</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-594"></a><span class='hs-definition'>iunsafePartsOf'</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-595"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>                            <span class='hs-keyword'>in</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>wins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-596"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span><span class='hs-layout'>;</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span><span class='hs-layout'>,</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip</span> <span class='hs-layout'>(</span><span class='hs-varid'>pins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>is</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-597"></a><span class='hs-comment'>{-# INLINE iunsafePartsOf' #-}</span>
<a name="line-598"></a>
<a name="line-599"></a><a name="holesOf"></a><span class='hs-comment'>-- | The one-level version of 'Control.Lens.Plated.contextsOf'. This extracts a list of the immediate children according to a given 'Traversal' as editable contexts.</span>
<a name="line-600"></a><span class='hs-comment'>--</span>
<a name="line-601"></a><span class='hs-comment'>-- Given a context you can use 'Control.Comonad.Store.Class.pos' to see the values, 'Control.Comonad.Store.Class.peek' at what the structure would be like with an edited result, or simply 'extract' the original structure.</span>
<a name="line-602"></a><span class='hs-comment'>--</span>
<a name="line-603"></a><span class='hs-comment'>-- @</span>
<a name="line-604"></a><span class='hs-comment'>-- propChildren l x = childrenOf l x '==' 'map' 'Control.Comonad.Store.Class.pos' ('holesOf' l x)</span>
<a name="line-605"></a><span class='hs-comment'>-- propId l x = 'all' ('==' x) ['extract' w | w &lt;- 'holesOf' l x]</span>
<a name="line-606"></a><span class='hs-comment'>-- @</span>
<a name="line-607"></a><span class='hs-comment'>--</span>
<a name="line-608"></a><span class='hs-comment'>-- @</span>
<a name="line-609"></a><span class='hs-comment'>-- 'holesOf' :: 'Iso'' s a                -&gt; s -&gt; ['Pretext'' (-&gt;) a s]</span>
<a name="line-610"></a><span class='hs-comment'>-- 'holesOf' :: 'Lens'' s a               -&gt; s -&gt; ['Pretext'' (-&gt;) a s]</span>
<a name="line-611"></a><span class='hs-comment'>-- 'holesOf' :: 'Traversal'' s a          -&gt; s -&gt; ['Pretext'' (-&gt;) a s]</span>
<a name="line-612"></a><span class='hs-comment'>-- 'holesOf' :: 'IndexedLens'' i s a      -&gt; s -&gt; ['Pretext'' ('Indexed' i) a s]</span>
<a name="line-613"></a><span class='hs-comment'>-- 'holesOf' :: 'IndexedTraversal'' i s a -&gt; s -&gt; ['Pretext'' ('Indexed' i) a s]</span>
<a name="line-614"></a><span class='hs-comment'>-- @</span>
<a name="line-615"></a><span class='hs-definition'>holesOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>p</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-varop'>.</span> <span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bazaar</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Pretext</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-varid'>t</span><span class='hs-keyglyph'>]</span>
<a name="line-616"></a><span class='hs-definition'>holesOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unTagged</span>
<a name="line-617"></a>  <span class='hs-layout'>(</span> <span class='hs-varid'>conjoined</span>
<a name="line-618"></a>     <span class='hs-layout'>(</span><span class='hs-conid'>Tagged</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>let</span>
<a name="line-619"></a>        <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-620"></a>        <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pretext</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>xfy</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>xfy</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-621"></a>      <span class='hs-keyword'>in</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-622"></a>     <span class='hs-layout'>(</span><span class='hs-conid'>Tagged</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>let</span>
<a name="line-623"></a>        <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-624"></a>        <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>wx</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pretext</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>wxfy</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>extract</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>wxfy</span> <span class='hs-varid'>wx</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>extract</span> <span class='hs-varid'>wx</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-625"></a>      <span class='hs-keyword'>in</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>pins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-626"></a>    <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Tagged</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Pretext</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-varid'>t</span><span class='hs-keyglyph'>]</span>
<a name="line-627"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-628"></a><span class='hs-comment'>{-# INLINE holesOf #-}</span>
<a name="line-629"></a>
<a name="line-630"></a><a name="singular"></a><span class='hs-comment'>-- | This converts a 'Traversal' that you \"know\" will target one or more elements to a 'Lens'. It can</span>
<a name="line-631"></a><span class='hs-comment'>-- also be used to transform a non-empty 'Fold' into a 'Getter'.</span>
<a name="line-632"></a><span class='hs-comment'>--</span>
<a name="line-633"></a><span class='hs-comment'>-- The resulting 'Lens' or 'Getter' will be partial if the supplied 'Traversal' returns</span>
<a name="line-634"></a><span class='hs-comment'>-- no results.</span>
<a name="line-635"></a><span class='hs-comment'>--</span>
<a name="line-636"></a><span class='hs-comment'>-- &gt;&gt;&gt; [1,2,3] ^. singular _head</span>
<a name="line-637"></a><span class='hs-comment'>-- 1</span>
<a name="line-638"></a><span class='hs-comment'>--</span>
<a name="line-639"></a><span class='hs-comment'>-- &gt;&gt;&gt; [] ^. singular _head</span>
<a name="line-640"></a><span class='hs-comment'>-- *** Exception: singular: empty traversal</span>
<a name="line-641"></a><span class='hs-comment'>--</span>
<a name="line-642"></a><span class='hs-comment'>-- &gt;&gt;&gt; Left 4 ^. singular _Left</span>
<a name="line-643"></a><span class='hs-comment'>-- 4</span>
<a name="line-644"></a><span class='hs-comment'>--</span>
<a name="line-645"></a><span class='hs-comment'>-- &gt;&gt;&gt; [1..10] ^. singular (ix 7)</span>
<a name="line-646"></a><span class='hs-comment'>-- 8</span>
<a name="line-647"></a><span class='hs-comment'>--</span>
<a name="line-648"></a><span class='hs-comment'>-- &gt;&gt;&gt; [] &amp; singular traverse .~ 0</span>
<a name="line-649"></a><span class='hs-comment'>-- []</span>
<a name="line-650"></a><span class='hs-comment'>--</span>
<a name="line-651"></a><span class='hs-comment'>-- @</span>
<a name="line-652"></a><span class='hs-comment'>-- 'singular' :: 'Traversal' s t a a          -&gt; 'Lens' s t a a</span>
<a name="line-653"></a><span class='hs-comment'>-- 'singular' :: 'Fold' s a                   -&gt; 'Getter' s a</span>
<a name="line-654"></a><span class='hs-comment'>-- 'singular' :: 'IndexedTraversal' i s t a a -&gt; 'IndexedLens' i s t a a</span>
<a name="line-655"></a><span class='hs-comment'>-- 'singular' :: 'IndexedFold' i s a          -&gt; 'IndexedGetter' i s a</span>
<a name="line-656"></a><span class='hs-comment'>-- @</span>
<a name="line-657"></a><span class='hs-definition'>singular</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-658"></a>         <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-659"></a>         <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-660"></a><span class='hs-definition'>singular</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-661"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>afb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ins</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-662"></a>    <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-conop'>:</span><span class='hs-varid'>ws</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-varid'>ws</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>afb</span> <span class='hs-varid'>w</span>
<a name="line-663"></a>    <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>.</span> <span class='hs-varid'>return</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>afb</span> <span class='hs-layout'>(</span><span class='hs-varid'>error</span> <span class='hs-str'>"singular: empty traversal"</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-664"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>pafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>pins</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-665"></a>    <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-conop'>:</span><span class='hs-varid'>ws</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>extract</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>w</span>
<a name="line-666"></a>    <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>.</span> <span class='hs-varid'>return</span>                    <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-layout'>(</span><span class='hs-varid'>error</span> <span class='hs-str'>"singular: empty traversal"</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-667"></a><span class='hs-comment'>{-# INLINE singular #-}</span>
<a name="line-668"></a>
<a name="line-669"></a><a name="unsafeSingular"></a><span class='hs-comment'>-- | This converts a 'Traversal' that you \"know\" will target only one element to a 'Lens'. It can also be</span>
<a name="line-670"></a><span class='hs-comment'>-- used to transform a 'Fold' into a 'Getter'.</span>
<a name="line-671"></a><span class='hs-comment'>--</span>
<a name="line-672"></a><span class='hs-comment'>-- The resulting 'Lens' or 'Getter' will be partial if the 'Traversal' targets nothing</span>
<a name="line-673"></a><span class='hs-comment'>-- or more than one element.</span>
<a name="line-674"></a><span class='hs-comment'>--</span>
<a name="line-675"></a><span class='hs-comment'>-- &gt;&gt;&gt; [] &amp; unsafeSingular traverse .~ 0</span>
<a name="line-676"></a><span class='hs-comment'>-- *** Exception: unsafeSingular: empty traversal</span>
<a name="line-677"></a><span class='hs-comment'>--</span>
<a name="line-678"></a><span class='hs-comment'>-- @</span>
<a name="line-679"></a><span class='hs-comment'>-- 'unsafeSingular' :: 'Traversal' s t a b          -&gt; 'Lens' s t a b</span>
<a name="line-680"></a><span class='hs-comment'>-- 'unsafeSingular' :: 'Fold' s a                   -&gt; 'Getter' s a</span>
<a name="line-681"></a><span class='hs-comment'>-- 'unsafeSingular' :: 'IndexedTraversal' i s t a b -&gt; 'IndexedLens' i s t a b</span>
<a name="line-682"></a><span class='hs-comment'>-- 'unsafeSingular' :: 'IndexedFold' i s a          -&gt; 'IndexedGetter' i s a</span>
<a name="line-683"></a><span class='hs-comment'>-- @</span>
<a name="line-684"></a><span class='hs-definition'>unsafeSingular</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-685"></a>               <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-686"></a>               <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-687"></a><span class='hs-definition'>unsafeSingular</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-688"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>afb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ins</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-689"></a>    <span class='hs-keyglyph'>[</span><span class='hs-varid'>w</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>.</span> <span class='hs-varid'>return</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>afb</span> <span class='hs-varid'>w</span>
<a name="line-690"></a>    <span class='hs-conid'>[]</span>  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>error</span> <span class='hs-str'>"unsafeSingular: empty traversal"</span>
<a name="line-691"></a>    <span class='hs-keyword'>_</span>   <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>error</span> <span class='hs-str'>"unsafeSingular: traversing multiple results"</span><span class='hs-layout'>)</span>
<a name="line-692"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>pafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>pins</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-693"></a>    <span class='hs-keyglyph'>[</span><span class='hs-varid'>w</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>.</span> <span class='hs-varid'>return</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>w</span>
<a name="line-694"></a>    <span class='hs-conid'>[]</span>  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>error</span> <span class='hs-str'>"unsafeSingular: empty traversal"</span>
<a name="line-695"></a>    <span class='hs-keyword'>_</span>   <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>error</span> <span class='hs-str'>"unsafeSingular: traversing multiple results"</span><span class='hs-layout'>)</span>
<a name="line-696"></a><span class='hs-comment'>{-# INLINE unsafeSingular #-}</span>
<a name="line-697"></a>
<a name="line-698"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-699"></a><span class='hs-comment'>-- Internal functions used by 'partsOf', 'holesOf', etc.</span>
<a name="line-700"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-701"></a>
<a name="line-702"></a><a name="ins"></a><span class='hs-definition'>ins</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bizarre</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-703"></a><span class='hs-definition'>ins</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>toListOf</span> <span class='hs-layout'>(</span><span class='hs-varid'>getting</span> <span class='hs-varid'>bazaar</span><span class='hs-layout'>)</span>
<a name="line-704"></a><span class='hs-comment'>{-# INLINE ins #-}</span>
<a name="line-705"></a>
<a name="line-706"></a><a name="wins"></a><span class='hs-definition'>wins</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bizarre</span> <span class='hs-varid'>p</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-conid'>Corepresentable</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Comonad</span> <span class='hs-layout'>(</span><span class='hs-conid'>Corep</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-707"></a><span class='hs-definition'>wins</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getConst</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>bazaar</span> <span class='hs-layout'>(</span><span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ra</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Const</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>extract</span> <span class='hs-varid'>ra</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-708"></a><span class='hs-comment'>{-# INLINE wins #-}</span>
<a name="line-709"></a>
<a name="line-710"></a><a name="pins"></a><span class='hs-definition'>pins</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bizarre</span> <span class='hs-varid'>p</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-conid'>Corepresentable</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Corep</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-711"></a><span class='hs-definition'>pins</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getConst</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>bazaar</span> <span class='hs-layout'>(</span><span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ra</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Const</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>ra</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-712"></a><span class='hs-comment'>{-# INLINE pins #-}</span>
<a name="line-713"></a>
<a name="line-714"></a><a name="parr"></a><span class='hs-definition'>parr</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Category</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-715"></a><span class='hs-definition'>parr</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>id</span>
<a name="line-716"></a><span class='hs-comment'>{-# INLINE parr #-}</span>
<a name="line-717"></a>
<a name="line-718"></a><a name="outs"></a><span class='hs-definition'>outs</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bizarre</span> <span class='hs-varid'>p</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-conid'>Category</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-719"></a><span class='hs-definition'>outs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalState</span> <span class='hs-varop'>`rmap`</span> <span class='hs-varid'>bazaar</span> <span class='hs-layout'>(</span><span class='hs-varid'>parr</span> <span class='hs-layout'>(</span><span class='hs-varid'>state</span> <span class='hs-varop'>.</span> <span class='hs-varid'>unconsWithDefault</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-720"></a><span class='hs-comment'>{-# INLINE outs #-}</span>
<a name="line-721"></a>
<a name="line-722"></a><a name="unsafeOuts"></a><span class='hs-definition'>unsafeOuts</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bizarre</span> <span class='hs-varid'>p</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-conid'>Corepresentable</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-723"></a><span class='hs-definition'>unsafeOuts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalState</span> <span class='hs-varop'>`rmap`</span> <span class='hs-varid'>bazaar</span> <span class='hs-layout'>(</span><span class='hs-varid'>cotabulate</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>state</span> <span class='hs-layout'>(</span><span class='hs-varid'>unconsWithDefault</span> <span class='hs-varid'>fakeVal</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-724"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>fakeVal</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"unsafePartsOf': not enough elements were supplied"</span>
<a name="line-725"></a><span class='hs-comment'>{-# INLINE unsafeOuts #-}</span>
<a name="line-726"></a>
<a name="line-727"></a><a name="unconsWithDefault"></a><span class='hs-definition'>unconsWithDefault</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-728"></a><span class='hs-definition'>unconsWithDefault</span> <span class='hs-varid'>d</span> <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span><span class='hs-conid'>[]</span><span class='hs-layout'>)</span>
<a name="line-729"></a><span class='hs-definition'>unconsWithDefault</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-730"></a><span class='hs-comment'>{-# INLINE unconsWithDefault #-}</span>
<a name="line-731"></a>
<a name="line-732"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-733"></a><span class='hs-comment'>-- Traversals</span>
<a name="line-734"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-735"></a>
<a name="line-736"></a><a name="both"></a><span class='hs-comment'>-- | Traverse both parts of a 'Bitraversable' container with matching types.</span>
<a name="line-737"></a><span class='hs-comment'>--</span>
<a name="line-738"></a><span class='hs-comment'>-- Usually that type will be a pair.</span>
<a name="line-739"></a><span class='hs-comment'>--</span>
<a name="line-740"></a><span class='hs-comment'>-- &gt;&gt;&gt; (1,2) &amp; both *~ 10</span>
<a name="line-741"></a><span class='hs-comment'>-- (10,20)</span>
<a name="line-742"></a><span class='hs-comment'>--</span>
<a name="line-743"></a><span class='hs-comment'>-- &gt;&gt;&gt; over both length ("hello","world")</span>
<a name="line-744"></a><span class='hs-comment'>-- (5,5)</span>
<a name="line-745"></a><span class='hs-comment'>--</span>
<a name="line-746"></a><span class='hs-comment'>-- &gt;&gt;&gt; ("hello","world")^.both</span>
<a name="line-747"></a><span class='hs-comment'>-- "helloworld"</span>
<a name="line-748"></a><span class='hs-comment'>--</span>
<a name="line-749"></a><span class='hs-comment'>-- @</span>
<a name="line-750"></a><span class='hs-comment'>-- 'both' :: 'Traversal' (a, a)       (b, b)       a b</span>
<a name="line-751"></a><span class='hs-comment'>-- 'both' :: 'Traversal' ('Either' a a) ('Either' b b) a b</span>
<a name="line-752"></a><span class='hs-comment'>-- @</span>
<a name="line-753"></a><span class='hs-definition'>both</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversal</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varid'>b</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-754"></a><span class='hs-definition'>both</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>f</span>
<a name="line-755"></a><span class='hs-comment'>{-# INLINE both #-}</span>
<a name="line-756"></a>
<a name="line-757"></a><a name="beside"></a><span class='hs-comment'>-- | Apply a different 'Traversal' or 'Fold' to each side of a 'Bitraversable' container.</span>
<a name="line-758"></a><span class='hs-comment'>--</span>
<a name="line-759"></a><span class='hs-comment'>-- @</span>
<a name="line-760"></a><span class='hs-comment'>-- 'beside' :: 'Traversal' s t a b                -&gt; 'Traversal' s' t' a b                -&gt; 'Traversal' (r s s') (r t t') a b</span>
<a name="line-761"></a><span class='hs-comment'>-- 'beside' :: 'IndexedTraversal' i s t a b       -&gt; 'IndexedTraversal' i s' t' a b       -&gt; 'IndexedTraversal' i (r s s') (r t t') a b</span>
<a name="line-762"></a><span class='hs-comment'>-- 'beside' :: 'IndexPreservingTraversal' s t a b -&gt; 'IndexPreservingTraversal' s' t' a b -&gt; 'IndexPreservingTraversal' (r s s') (r t t') a b</span>
<a name="line-763"></a><span class='hs-comment'>-- @</span>
<a name="line-764"></a><span class='hs-comment'>--</span>
<a name="line-765"></a><span class='hs-comment'>-- @</span>
<a name="line-766"></a><span class='hs-comment'>-- 'beside' :: 'Traversal' s t a b                -&gt; 'Traversal' s' t' a b                -&gt; 'Traversal' (s,s') (t,t') a b</span>
<a name="line-767"></a><span class='hs-comment'>-- 'beside' :: 'Lens' s t a b                     -&gt; 'Lens' s' t' a b                     -&gt; 'Traversal' (s,s') (t,t') a b</span>
<a name="line-768"></a><span class='hs-comment'>-- 'beside' :: 'Fold' s a                         -&gt; 'Fold' s' a                          -&gt; 'Fold' (s,s') a</span>
<a name="line-769"></a><span class='hs-comment'>-- 'beside' :: 'Getter' s a                       -&gt; 'Getter' s' a                        -&gt; 'Fold' (s,s') a</span>
<a name="line-770"></a><span class='hs-comment'>-- @</span>
<a name="line-771"></a><span class='hs-comment'>--</span>
<a name="line-772"></a><span class='hs-comment'>-- @</span>
<a name="line-773"></a><span class='hs-comment'>-- 'beside' :: 'IndexedTraversal' i s t a b       -&gt; 'IndexedTraversal' i s' t' a b       -&gt; 'IndexedTraversal' i (s,s') (t,t') a b</span>
<a name="line-774"></a><span class='hs-comment'>-- 'beside' :: 'IndexedLens' i s t a b            -&gt; 'IndexedLens' i s' t' a b            -&gt; 'IndexedTraversal' i (s,s') (t,t') a b</span>
<a name="line-775"></a><span class='hs-comment'>-- 'beside' :: 'IndexedFold' i s a                -&gt; 'IndexedFold' i s' a                 -&gt; 'IndexedFold' i (s,s') a</span>
<a name="line-776"></a><span class='hs-comment'>-- 'beside' :: 'IndexedGetter' i s a              -&gt; 'IndexedGetter' i s' a               -&gt; 'IndexedFold' i (s,s') a</span>
<a name="line-777"></a><span class='hs-comment'>-- @</span>
<a name="line-778"></a><span class='hs-comment'>--</span>
<a name="line-779"></a><span class='hs-comment'>-- @</span>
<a name="line-780"></a><span class='hs-comment'>-- 'beside' :: 'IndexPreservingTraversal' s t a b -&gt; 'IndexPreservingTraversal' s' t' a b -&gt; 'IndexPreservingTraversal' (s,s') (t,t') a b</span>
<a name="line-781"></a><span class='hs-comment'>-- 'beside' :: 'IndexPreservingLens' s t a b      -&gt; 'IndexPreservingLens' s' t' a b      -&gt; 'IndexPreservingTraversal' (s,s') (t,t') a b</span>
<a name="line-782"></a><span class='hs-comment'>-- 'beside' :: 'IndexPreservingFold' s a          -&gt; 'IndexPreservingFold' s' a           -&gt; 'IndexPreservingFold' (s,s') a</span>
<a name="line-783"></a><span class='hs-comment'>-- 'beside' :: 'IndexPreservingGetter' s a        -&gt; 'IndexPreservingGetter' s' a         -&gt; 'IndexPreservingFold' (s,s') a</span>
<a name="line-784"></a><span class='hs-comment'>-- @</span>
<a name="line-785"></a><span class='hs-comment'>--</span>
<a name="line-786"></a><span class='hs-comment'>-- &gt;&gt;&gt; ("hello",["world","!!!"])^..beside id traverse</span>
<a name="line-787"></a><span class='hs-comment'>-- ["hello","world","!!!"]</span>
<a name="line-788"></a><span class='hs-definition'>beside</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Representable</span> <span class='hs-varid'>q</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rep</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-789"></a>       <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Optical</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-790"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Optical</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s'</span> <span class='hs-varid'>t'</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-791"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Optical</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varid'>t</span> <span class='hs-varid'>t'</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-792"></a><span class='hs-definition'>beside</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tabulate</span> <span class='hs-varop'>$</span> <span class='hs-varid'>getCompose</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>bitraverse</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>sieve</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>sieve</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-793"></a><span class='hs-comment'>{-# INLINE beside #-}</span>
<a name="line-794"></a>
<a name="line-795"></a><a name="taking"></a><span class='hs-comment'>-- | Visit the first /n/ targets of a 'Traversal', 'Fold', 'Getter' or 'Lens'.</span>
<a name="line-796"></a><span class='hs-comment'>--</span>
<a name="line-797"></a><span class='hs-comment'>-- &gt;&gt;&gt; [("hello","world"),("!!!","!!!")]^.. taking 2 (traverse.both)</span>
<a name="line-798"></a><span class='hs-comment'>-- ["hello","world"]</span>
<a name="line-799"></a><span class='hs-comment'>--</span>
<a name="line-800"></a><span class='hs-comment'>-- &gt;&gt;&gt; timingOut $ [1..] ^.. taking 3 traverse</span>
<a name="line-801"></a><span class='hs-comment'>-- [1,2,3]</span>
<a name="line-802"></a><span class='hs-comment'>--</span>
<a name="line-803"></a><span class='hs-comment'>-- &gt;&gt;&gt; over (taking 5 traverse) succ "hello world"</span>
<a name="line-804"></a><span class='hs-comment'>-- "ifmmp world"</span>
<a name="line-805"></a><span class='hs-comment'>--</span>
<a name="line-806"></a><span class='hs-comment'>-- @</span>
<a name="line-807"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'Traversal'' s a                   -&gt; 'Traversal'' s a</span>
<a name="line-808"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'Lens'' s a                        -&gt; 'Traversal'' s a</span>
<a name="line-809"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'Iso'' s a                         -&gt; 'Traversal'' s a</span>
<a name="line-810"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'Prism'' s a                       -&gt; 'Traversal'' s a</span>
<a name="line-811"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'Getter' s a                       -&gt; 'Fold' s a</span>
<a name="line-812"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'Fold' s a                         -&gt; 'Fold' s a</span>
<a name="line-813"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'IndexedTraversal'' i s a          -&gt; 'IndexedTraversal'' i s a</span>
<a name="line-814"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'IndexedLens'' i s a               -&gt; 'IndexedTraversal'' i s a</span>
<a name="line-815"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'IndexedGetter' i s a              -&gt; 'IndexedFold' i s a</span>
<a name="line-816"></a><span class='hs-comment'>-- 'taking' :: 'Int' -&gt; 'IndexedFold' i s a                -&gt; 'IndexedFold' i s a</span>
<a name="line-817"></a><span class='hs-comment'>-- @</span>
<a name="line-818"></a><span class='hs-definition'>taking</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-819"></a>        <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span>
<a name="line-820"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-821"></a>       <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-822"></a><span class='hs-definition'>taking</span> <span class='hs-varid'>n</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span>
<a name="line-823"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>afb</span> <span class='hs-varid'>s</span>  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>afb</span>          <span class='hs-layout'>(</span><span class='hs-varid'>take</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>ins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-824"></a>  <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inline</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>outs</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>take</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>pins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-825"></a><span class='hs-comment'>{-# INLINE taking #-}</span>
<a name="line-826"></a>
<a name="line-827"></a><a name="dropping"></a><span class='hs-comment'>-- | Visit all but the first /n/ targets of a 'Traversal', 'Fold', 'Getter' or 'Lens'.</span>
<a name="line-828"></a><span class='hs-comment'>--</span>
<a name="line-829"></a><span class='hs-comment'>-- &gt;&gt;&gt; ("hello","world") ^? dropping 1 both</span>
<a name="line-830"></a><span class='hs-comment'>-- Just "world"</span>
<a name="line-831"></a><span class='hs-comment'>--</span>
<a name="line-832"></a><span class='hs-comment'>-- Dropping works on infinite traversals as well:</span>
<a name="line-833"></a><span class='hs-comment'>--</span>
<a name="line-834"></a><span class='hs-comment'>-- &gt;&gt;&gt; [1..] ^? dropping 1 folded</span>
<a name="line-835"></a><span class='hs-comment'>-- Just 2</span>
<a name="line-836"></a><span class='hs-comment'>--</span>
<a name="line-837"></a><span class='hs-comment'>-- @</span>
<a name="line-838"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'Traversal'' s a                   -&gt; 'Traversal'' s a</span>
<a name="line-839"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'Lens'' s a                        -&gt; 'Traversal'' s a</span>
<a name="line-840"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'Iso'' s a                         -&gt; 'Traversal'' s a</span>
<a name="line-841"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'Prism'' s a                       -&gt; 'Traversal'' s a</span>
<a name="line-842"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'Getter' s a                       -&gt; 'Fold' s a</span>
<a name="line-843"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'Fold' s a                         -&gt; 'Fold' s a</span>
<a name="line-844"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'IndexedTraversal'' i s a          -&gt; 'IndexedTraversal'' i s a</span>
<a name="line-845"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'IndexedLens'' i s a               -&gt; 'IndexedTraversal'' i s a</span>
<a name="line-846"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'IndexedGetter' i s a              -&gt; 'IndexedFold' i s a</span>
<a name="line-847"></a><span class='hs-comment'>-- 'dropping' :: 'Int' -&gt; 'IndexedFold' i s a                -&gt; 'IndexedFold' i s a</span>
<a name="line-848"></a><span class='hs-comment'>-- @</span>
<a name="line-849"></a><span class='hs-definition'>dropping</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexing</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-850"></a><span class='hs-definition'>dropping</span> <span class='hs-varid'>n</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>$</span> <span class='hs-varid'>runIndexing</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>paifb</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-num'>0</span> <span class='hs-keyword'>where</span>
<a name="line-851"></a>  <span class='hs-varid'>paifb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>wa</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Indexing</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>i'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>i</span> <span class='hs-varop'>+</span> <span class='hs-num'>1</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>i'</span> <span class='hs-varop'>`seq`</span> <span class='hs-layout'>(</span><span class='hs-varid'>i'</span><span class='hs-layout'>,</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>i</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>pure</span> <span class='hs-layout'>(</span><span class='hs-varid'>extract</span> <span class='hs-varid'>wa</span><span class='hs-layout'>)</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>wa</span><span class='hs-layout'>)</span>
<a name="line-852"></a><span class='hs-comment'>{-# INLINE dropping #-}</span>
<a name="line-853"></a>
<a name="line-854"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-855"></a><span class='hs-comment'>-- Cloning Traversals</span>
<a name="line-856"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-857"></a>
<a name="line-858"></a><a name="cloneTraversal"></a><span class='hs-comment'>-- | A 'Traversal' is completely characterized by its behavior on a 'Bazaar'.</span>
<a name="line-859"></a><span class='hs-comment'>--</span>
<a name="line-860"></a><span class='hs-comment'>-- Cloning a 'Traversal' is one way to make sure you aren't given</span>
<a name="line-861"></a><span class='hs-comment'>-- something weaker, such as a 'Fold' and can be</span>
<a name="line-862"></a><span class='hs-comment'>-- used as a way to pass around traversals that have to be monomorphic in @f@.</span>
<a name="line-863"></a><span class='hs-comment'>--</span>
<a name="line-864"></a><span class='hs-comment'>-- Note: This only accepts a proper 'Traversal' (or 'Lens'). To clone a 'Lens'</span>
<a name="line-865"></a><span class='hs-comment'>-- as such, use 'Control.Lens.Lens.cloneLens'.</span>
<a name="line-866"></a><span class='hs-comment'>--</span>
<a name="line-867"></a><span class='hs-comment'>-- Note: It is usually better to use 'Control.Lens.Reified.ReifiedTraversal' and</span>
<a name="line-868"></a><span class='hs-comment'>-- 'Control.Lens.Reified.runTraversal' than to 'cloneTraversal'. The</span>
<a name="line-869"></a><span class='hs-comment'>-- former can execute at full speed, while the latter needs to round trip through</span>
<a name="line-870"></a><span class='hs-comment'>-- the 'Bazaar'.</span>
<a name="line-871"></a><span class='hs-comment'>--</span>
<a name="line-872"></a><span class='hs-comment'>-- &gt;&gt;&gt; let foo l a = (view (getting (cloneTraversal l)) a, set (cloneTraversal l) 10 a)</span>
<a name="line-873"></a><span class='hs-comment'>-- &gt;&gt;&gt; foo both ("hello","world")</span>
<a name="line-874"></a><span class='hs-comment'>-- ("helloworld",(10,10))</span>
<a name="line-875"></a><span class='hs-comment'>--</span>
<a name="line-876"></a><span class='hs-comment'>-- @</span>
<a name="line-877"></a><span class='hs-comment'>-- 'cloneTraversal' :: 'LensLike' ('Bazaar' (-&gt;) a b) s t a b -&gt; 'Traversal' s t a b</span>
<a name="line-878"></a><span class='hs-comment'>-- @</span>
<a name="line-879"></a><span class='hs-definition'>cloneTraversal</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ATraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Traversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-880"></a><span class='hs-definition'>cloneTraversal</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bazaar</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span>
<a name="line-881"></a><span class='hs-comment'>{-# INLINE cloneTraversal #-}</span>
<a name="line-882"></a>
<a name="line-883"></a><a name="cloneIndexPreservingTraversal"></a><span class='hs-comment'>-- | Clone a 'Traversal' yielding an 'IndexPreservingTraversal' that passes through</span>
<a name="line-884"></a><span class='hs-comment'>-- whatever index it is composed with.</span>
<a name="line-885"></a><span class='hs-definition'>cloneIndexPreservingTraversal</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ATraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexPreservingTraversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-886"></a><span class='hs-definition'>cloneIndexPreservingTraversal</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ws</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>runBazaar</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-layout'>(</span><span class='hs-varid'>extract</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varop'>&lt;$</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span>
<a name="line-887"></a><span class='hs-comment'>{-# INLINE cloneIndexPreservingTraversal #-}</span>
<a name="line-888"></a>
<a name="line-889"></a><a name="cloneIndexedTraversal"></a><span class='hs-comment'>-- | Clone an 'IndexedTraversal' yielding an 'IndexedTraversal' with the same index.</span>
<a name="line-890"></a><span class='hs-definition'>cloneIndexedTraversal</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedTraversal</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedTraversal</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-891"></a><span class='hs-definition'>cloneIndexedTraversal</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bazaar</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span>
<a name="line-892"></a><span class='hs-comment'>{-# INLINE cloneIndexedTraversal #-}</span>
<a name="line-893"></a>
<a name="line-894"></a><a name="cloneTraversal1"></a><span class='hs-comment'>-- | A 'Traversal1' is completely characterized by its behavior on a 'Bazaar1'.</span>
<a name="line-895"></a><span class='hs-definition'>cloneTraversal1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ATraversal1</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Traversal1</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-896"></a><span class='hs-definition'>cloneTraversal1</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bazaar1</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span>
<a name="line-897"></a><span class='hs-comment'>{-# INLINE cloneTraversal1 #-}</span>
<a name="line-898"></a>
<a name="line-899"></a><a name="cloneIndexPreservingTraversal1"></a><span class='hs-comment'>-- | Clone a 'Traversal1' yielding an 'IndexPreservingTraversal1' that passes through</span>
<a name="line-900"></a><span class='hs-comment'>-- whatever index it is composed with.</span>
<a name="line-901"></a><span class='hs-definition'>cloneIndexPreservingTraversal1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ATraversal1</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexPreservingTraversal1</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-902"></a><span class='hs-definition'>cloneIndexPreservingTraversal1</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ws</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>runBazaar1</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-layout'>(</span><span class='hs-varid'>extract</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varop'>&lt;$</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span>
<a name="line-903"></a><span class='hs-comment'>{-# INLINE cloneIndexPreservingTraversal1 #-}</span>
<a name="line-904"></a>
<a name="line-905"></a><a name="cloneIndexedTraversal1"></a><span class='hs-comment'>-- | Clone an 'IndexedTraversal1' yielding an 'IndexedTraversal1' with the same index.</span>
<a name="line-906"></a><span class='hs-definition'>cloneIndexedTraversal1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedTraversal1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedTraversal1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-907"></a><span class='hs-definition'>cloneIndexedTraversal1</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bazaar1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span>
<a name="line-908"></a><span class='hs-comment'>{-# INLINE cloneIndexedTraversal1 #-}</span>
<a name="line-909"></a>
<a name="line-910"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-911"></a><span class='hs-comment'>-- Indexed Traversals</span>
<a name="line-912"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-913"></a>
<a name="line-914"></a><a name="itraverseOf"></a><span class='hs-comment'>-- | Traversal with an index.</span>
<a name="line-915"></a><span class='hs-comment'>--</span>
<a name="line-916"></a><span class='hs-comment'>-- /NB:/ When you don't need access to the index then you can just apply your 'IndexedTraversal'</span>
<a name="line-917"></a><span class='hs-comment'>-- directly as a function!</span>
<a name="line-918"></a><span class='hs-comment'>--</span>
<a name="line-919"></a><span class='hs-comment'>-- @</span>
<a name="line-920"></a><span class='hs-comment'>-- 'itraverseOf' ≡ 'Control.Lens.Indexed.withIndex'</span>
<a name="line-921"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.traverseOf' l = 'itraverseOf' l '.' 'const' = 'id'</span>
<a name="line-922"></a><span class='hs-comment'>-- @</span>
<a name="line-923"></a><span class='hs-comment'>--</span>
<a name="line-924"></a><span class='hs-comment'>-- @</span>
<a name="line-925"></a><span class='hs-comment'>-- 'itraverseOf' :: 'Functor' f     =&gt; 'IndexedLens' i s t a b       -&gt; (i -&gt; a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-926"></a><span class='hs-comment'>-- 'itraverseOf' :: 'Applicative' f =&gt; 'IndexedTraversal' i s t a b  -&gt; (i -&gt; a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-927"></a><span class='hs-comment'>-- 'itraverseOf' :: 'Apply' f       =&gt; 'IndexedTraversal1' i s t a b -&gt; (i -&gt; a -&gt; f b) -&gt; s -&gt; f t</span>
<a name="line-928"></a><span class='hs-comment'>-- @</span>
<a name="line-929"></a><span class='hs-definition'>itraverseOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-930"></a><span class='hs-definition'>itraverseOf</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>.#</span> <span class='hs-conid'>Indexed</span>
<a name="line-931"></a><span class='hs-comment'>{-# INLINE itraverseOf #-}</span>
<a name="line-932"></a>
<a name="line-933"></a><a name="iforOf"></a><span class='hs-comment'>-- | Traverse with an index (and the arguments flipped).</span>
<a name="line-934"></a><span class='hs-comment'>--</span>
<a name="line-935"></a><span class='hs-comment'>-- @</span>
<a name="line-936"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.forOf' l a ≡ 'iforOf' l a '.' 'const'</span>
<a name="line-937"></a><span class='hs-comment'>-- 'iforOf' ≡ 'flip' '.' 'itraverseOf'</span>
<a name="line-938"></a><span class='hs-comment'>-- @</span>
<a name="line-939"></a><span class='hs-comment'>--</span>
<a name="line-940"></a><span class='hs-comment'>-- @</span>
<a name="line-941"></a><span class='hs-comment'>-- 'iforOf' :: 'Functor' f     =&gt; 'IndexedLens' i s t a b       -&gt; s -&gt; (i -&gt; a -&gt; f b) -&gt; f t</span>
<a name="line-942"></a><span class='hs-comment'>-- 'iforOf' :: 'Applicative' f =&gt; 'IndexedTraversal' i s t a b  -&gt; s -&gt; (i -&gt; a -&gt; f b) -&gt; f t</span>
<a name="line-943"></a><span class='hs-comment'>-- 'iforOf' :: 'Apply' f       =&gt; 'IndexedTraversal1' i s t a b -&gt; s -&gt; (i -&gt; a -&gt; f b) -&gt; f t</span>
<a name="line-944"></a><span class='hs-comment'>-- @</span>
<a name="line-945"></a><span class='hs-definition'>iforOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-946"></a><span class='hs-definition'>iforOf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varop'>.</span> <span class='hs-varid'>itraverseOf</span>
<a name="line-947"></a><span class='hs-comment'>{-# INLINE iforOf #-}</span>
<a name="line-948"></a>
<a name="line-949"></a><a name="imapMOf"></a><span class='hs-comment'>-- | Map each element of a structure targeted by a 'Lens' to a monadic action,</span>
<a name="line-950"></a><span class='hs-comment'>-- evaluate these actions from left to right, and collect the results, with access</span>
<a name="line-951"></a><span class='hs-comment'>-- its position.</span>
<a name="line-952"></a><span class='hs-comment'>--</span>
<a name="line-953"></a><span class='hs-comment'>-- When you don't need access to the index 'mapMOf' is more liberal in what it can accept.</span>
<a name="line-954"></a><span class='hs-comment'>--</span>
<a name="line-955"></a><span class='hs-comment'>-- @</span>
<a name="line-956"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.mapMOf' l ≡ 'imapMOf' l '.' 'const'</span>
<a name="line-957"></a><span class='hs-comment'>-- @</span>
<a name="line-958"></a><span class='hs-comment'>--</span>
<a name="line-959"></a><span class='hs-comment'>-- @</span>
<a name="line-960"></a><span class='hs-comment'>-- 'imapMOf' :: 'Monad' m =&gt; 'IndexedLens'       i s t a b -&gt; (i -&gt; a -&gt; m b) -&gt; s -&gt; m t</span>
<a name="line-961"></a><span class='hs-comment'>-- 'imapMOf' :: 'Monad' m =&gt; 'IndexedTraversal'  i s t a b -&gt; (i -&gt; a -&gt; m b) -&gt; s -&gt; m t</span>
<a name="line-962"></a><span class='hs-comment'>-- 'imapMOf' :: 'Bind'  m =&gt; 'IndexedTraversal1' i s t a b -&gt; (i -&gt; a -&gt; m b) -&gt; s -&gt; m t</span>
<a name="line-963"></a><span class='hs-comment'>-- @</span>
<a name="line-964"></a><span class='hs-definition'>imapMOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-965"></a><span class='hs-definition'>imapMOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>cmd</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>cmd</span><span class='hs-layout'>)</span>
<a name="line-966"></a><span class='hs-comment'>{-# INLINE imapMOf #-}</span>
<a name="line-967"></a>
<a name="line-968"></a><a name="iforMOf"></a><span class='hs-comment'>-- | Map each element of a structure targeted by a 'Lens' to a monadic action,</span>
<a name="line-969"></a><span class='hs-comment'>-- evaluate these actions from left to right, and collect the results, with access</span>
<a name="line-970"></a><span class='hs-comment'>-- its position (and the arguments flipped).</span>
<a name="line-971"></a><span class='hs-comment'>--</span>
<a name="line-972"></a><span class='hs-comment'>-- @</span>
<a name="line-973"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.forMOf' l a ≡ 'iforMOf' l a '.' 'const'</span>
<a name="line-974"></a><span class='hs-comment'>-- 'iforMOf' ≡ 'flip' '.' 'imapMOf'</span>
<a name="line-975"></a><span class='hs-comment'>-- @</span>
<a name="line-976"></a><span class='hs-comment'>--</span>
<a name="line-977"></a><span class='hs-comment'>-- @</span>
<a name="line-978"></a><span class='hs-comment'>-- 'iforMOf' :: 'Monad' m =&gt; 'IndexedLens' i s t a b      -&gt; s -&gt; (i -&gt; a -&gt; m b) -&gt; m t</span>
<a name="line-979"></a><span class='hs-comment'>-- 'iforMOf' :: 'Monad' m =&gt; 'IndexedTraversal' i s t a b -&gt; s -&gt; (i -&gt; a -&gt; m b) -&gt; m t</span>
<a name="line-980"></a><span class='hs-comment'>-- @</span>
<a name="line-981"></a><span class='hs-definition'>iforMOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-982"></a><span class='hs-definition'>iforMOf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varop'>.</span> <span class='hs-varid'>imapMOf</span>
<a name="line-983"></a><span class='hs-comment'>{-# INLINE iforMOf #-}</span>
<a name="line-984"></a>
<a name="line-985"></a><a name="imapAccumROf"></a><span class='hs-comment'>-- | Generalizes 'Data.Traversable.mapAccumR' to an arbitrary 'IndexedTraversal' with access to the index.</span>
<a name="line-986"></a><span class='hs-comment'>--</span>
<a name="line-987"></a><span class='hs-comment'>-- 'imapAccumROf' accumulates state from right to left.</span>
<a name="line-988"></a><span class='hs-comment'>--</span>
<a name="line-989"></a><span class='hs-comment'>-- @</span>
<a name="line-990"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.mapAccumROf' l ≡ 'imapAccumROf' l '.' 'const'</span>
<a name="line-991"></a><span class='hs-comment'>-- @</span>
<a name="line-992"></a><span class='hs-comment'>--</span>
<a name="line-993"></a><span class='hs-comment'>-- @</span>
<a name="line-994"></a><span class='hs-comment'>-- 'imapAccumROf' :: 'IndexedLens' i s t a b      -&gt; (i -&gt; acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-995"></a><span class='hs-comment'>-- 'imapAccumROf' :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-996"></a><span class='hs-comment'>-- @</span>
<a name="line-997"></a><span class='hs-definition'>imapAccumROf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span> <span class='hs-varid'>acc</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-998"></a><span class='hs-definition'>imapAccumROf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>imapAccumLOf</span> <span class='hs-varop'>.</span> <span class='hs-varid'>backwards</span>
<a name="line-999"></a><span class='hs-comment'>{-# INLINE imapAccumROf #-}</span>
<a name="line-1000"></a>
<a name="line-1001"></a><a name="imapAccumLOf"></a><span class='hs-comment'>-- | Generalizes 'Data.Traversable.mapAccumL' to an arbitrary 'IndexedTraversal' with access to the index.</span>
<a name="line-1002"></a><span class='hs-comment'>--</span>
<a name="line-1003"></a><span class='hs-comment'>-- 'imapAccumLOf' accumulates state from left to right.</span>
<a name="line-1004"></a><span class='hs-comment'>--</span>
<a name="line-1005"></a><span class='hs-comment'>-- @</span>
<a name="line-1006"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.mapAccumLOf' l ≡ 'imapAccumLOf' l '.' 'const'</span>
<a name="line-1007"></a><span class='hs-comment'>-- @</span>
<a name="line-1008"></a><span class='hs-comment'>--</span>
<a name="line-1009"></a><span class='hs-comment'>-- @</span>
<a name="line-1010"></a><span class='hs-comment'>-- 'imapAccumLOf' :: 'IndexedLens' i s t a b      -&gt; (i -&gt; acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-1011"></a><span class='hs-comment'>-- 'imapAccumLOf' :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; acc -&gt; a -&gt; (acc, b)) -&gt; acc -&gt; s -&gt; (acc, t)</span>
<a name="line-1012"></a><span class='hs-comment'>-- @</span>
<a name="line-1013"></a><span class='hs-definition'>imapAccumLOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span> <span class='hs-varid'>acc</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>acc</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-1014"></a><span class='hs-definition'>imapAccumLOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>acc0</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>swap</span> <span class='hs-layout'>(</span><span class='hs-varid'>runState</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>acc0</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-1015"></a>  <span class='hs-varid'>g</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>state</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>acc</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>swap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>acc</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-1016"></a><span class='hs-comment'>{-# INLINE imapAccumLOf #-}</span>
<a name="line-1017"></a>
<a name="line-1018"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-1019"></a><span class='hs-comment'>-- Common Indexed Traversals</span>
<a name="line-1020"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-1021"></a>
<a name="line-1022"></a><a name="traversed"></a><span class='hs-comment'>-- | Traverse any 'Traversable' container. This is an 'IndexedTraversal' that is indexed by ordinal position.</span>
<a name="line-1023"></a><span class='hs-definition'>traversed</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedTraversal</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1024"></a><span class='hs-definition'>traversed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexing</span> <span class='hs-varid'>traverse</span><span class='hs-layout'>)</span>
<a name="line-1025"></a><span class='hs-comment'>{-# INLINE [0] traversed #-}</span>
<a name="line-1026"></a>
<a name="line-1027"></a><a name="imapList"></a><span class='hs-definition'>imapList</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-1028"></a><span class='hs-definition'>imapList</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span> <span class='hs-num'>0</span>
<a name="line-1029"></a>  <span class='hs-keyword'>where</span>
<a name="line-1030"></a>    <span class='hs-varid'>go</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>x</span> <span class='hs-conop'>:</span> <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-1031"></a>    <span class='hs-varid'>go</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-1032"></a><span class='hs-comment'>{-# INLINE imapList #-}</span>
<a name="line-1033"></a>
<a name="line-1034"></a><span class='hs-comment'>{-# RULES
<a name="line-1035"></a>"traversed -&gt; mapped"     traversed = sets fmap          :: Functor f =&gt; ASetter (f a) (f b) a b;
<a name="line-1036"></a>"traversed -&gt; folded"     traversed = folded             :: Foldable f =&gt; Getting (Endo r) (f a) a;
<a name="line-1037"></a>"traversed -&gt; ifolded"    traversed = folded             :: Foldable f =&gt; IndexedGetting Int (Endo r) (f a) a;
<a name="line-1038"></a>"traversed -&gt; imapList"   traversed = isets imapList     :: AnIndexedSetter Int [a] [b] a b;
<a name="line-1039"></a>"traversed -&gt; imapSeq"    traversed = isets mapWithIndex :: AnIndexedSetter Int (Seq a) (Seq b) a b;
<a name="line-1040"></a>"traversed -&gt; imapVector" traversed = isets Vector.imap  :: AnIndexedSetter Int (Vector a) (Vector b) a b;
<a name="line-1041"></a> #-}</span>
<a name="line-1042"></a>
<a name="line-1043"></a><a name="traversed1"></a><span class='hs-comment'>-- | Traverse any 'Traversable1' container. This is an 'IndexedTraversal1' that is indexed by ordinal position.</span>
<a name="line-1044"></a><span class='hs-definition'>traversed1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable1</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedTraversal1</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1045"></a><span class='hs-definition'>traversed1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span> <span class='hs-varid'>traverse1</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexing</span> <span class='hs-varid'>traverse1</span><span class='hs-layout'>)</span>
<a name="line-1046"></a><span class='hs-comment'>{-# INLINE traversed1 #-}</span>
<a name="line-1047"></a>
<a name="line-1048"></a><a name="traversed64"></a><span class='hs-comment'>-- | Traverse any 'Traversable' container. This is an 'IndexedTraversal' that is indexed by ordinal position.</span>
<a name="line-1049"></a><span class='hs-definition'>traversed64</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedTraversal</span> <span class='hs-conid'>Int64</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1050"></a><span class='hs-definition'>traversed64</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexing64</span> <span class='hs-varid'>traverse</span><span class='hs-layout'>)</span>
<a name="line-1051"></a><span class='hs-comment'>{-# INLINE traversed64 #-}</span>
<a name="line-1052"></a>
<a name="line-1053"></a><a name="ignored"></a><span class='hs-comment'>-- | This is the trivial empty 'Traversal'.</span>
<a name="line-1054"></a><span class='hs-comment'>--</span>
<a name="line-1055"></a><span class='hs-comment'>-- @</span>
<a name="line-1056"></a><span class='hs-comment'>-- 'ignored' :: 'IndexedTraversal' i s s a b</span>
<a name="line-1057"></a><span class='hs-comment'>-- @</span>
<a name="line-1058"></a><span class='hs-comment'>--</span>
<a name="line-1059"></a><span class='hs-comment'>-- @</span>
<a name="line-1060"></a><span class='hs-comment'>-- 'ignored' ≡ 'const' 'pure'</span>
<a name="line-1061"></a><span class='hs-comment'>-- @</span>
<a name="line-1062"></a><span class='hs-comment'>--</span>
<a name="line-1063"></a><span class='hs-comment'>-- &gt;&gt;&gt; 6 &amp; ignored %~ absurd</span>
<a name="line-1064"></a><span class='hs-comment'>-- 6</span>
<a name="line-1065"></a><span class='hs-definition'>ignored</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span>
<a name="line-1066"></a><span class='hs-definition'>ignored</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span>
<a name="line-1067"></a><span class='hs-comment'>{-# INLINE ignored #-}</span>
<a name="line-1068"></a>
<a name="line-1069"></a><a name="TraverseMin"></a><span class='hs-comment'>-- | Allows 'IndexedTraversal' the value at the smallest index.</span>
<a name="line-1070"></a><a name="TraverseMin"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraverseMin</span> <span class='hs-varid'>k</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>k</span> <span class='hs-keyword'>where</span>
<a name="line-1071"></a>  <span class='hs-comment'>-- | 'IndexedTraversal' of the element with the smallest index.</span>
<a name="line-1072"></a>  <span class='hs-varid'>traverseMin</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>v</span>
<a name="line-1073"></a>
<a name="line-1074"></a><a name="instance%20TraverseMin%20Int%20IntMap"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraverseMin</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>IntMap</span> <span class='hs-keyword'>where</span>
<a name="line-1075"></a>  <span class='hs-varid'>traverseMin</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>minViewWithKey</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-1076"></a><span class='hs-cpp'>#if MIN_VERSION_containers(0,5,0)</span>
<a name="line-1077"></a>    <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>updateMin</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-1078"></a><span class='hs-cpp'>#else</span>
<a name="line-1079"></a>    <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>updateMin</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-1080"></a><span class='hs-cpp'>#endif</span>
<a name="line-1081"></a>    <span class='hs-conid'>Nothing</span>     <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>m</span>
<a name="line-1082"></a>  <span class='hs-comment'>{-# INLINE traverseMin #-}</span>
<a name="line-1083"></a>
<a name="line-1084"></a><a name="instance%20TraverseMin%20k%20(Map%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraverseMin</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-1085"></a>  <span class='hs-varid'>traverseMin</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>minViewWithKey</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-1086"></a>    <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>updateMin</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-1087"></a>    <span class='hs-conid'>Nothing</span>          <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>m</span>
<a name="line-1088"></a>  <span class='hs-comment'>{-# INLINE traverseMin #-}</span>
<a name="line-1089"></a>
<a name="line-1090"></a><a name="TraverseMax"></a><span class='hs-comment'>-- | Allows 'IndexedTraversal' of the value at the largest index.</span>
<a name="line-1091"></a><a name="TraverseMax"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraverseMax</span> <span class='hs-varid'>k</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>k</span> <span class='hs-keyword'>where</span>
<a name="line-1092"></a>  <span class='hs-comment'>-- | 'IndexedTraversal' of the element at the largest index.</span>
<a name="line-1093"></a>  <span class='hs-varid'>traverseMax</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>v</span>
<a name="line-1094"></a>
<a name="line-1095"></a><a name="instance%20TraverseMax%20Int%20IntMap"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraverseMax</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>IntMap</span> <span class='hs-keyword'>where</span>
<a name="line-1096"></a>  <span class='hs-varid'>traverseMax</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>maxViewWithKey</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-1097"></a><span class='hs-cpp'>#if MIN_VERSION_containers(0,5,0)</span>
<a name="line-1098"></a>    <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>updateMax</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-1099"></a><span class='hs-cpp'>#else</span>
<a name="line-1100"></a>    <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>updateMax</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-1101"></a><span class='hs-cpp'>#endif</span>
<a name="line-1102"></a>    <span class='hs-conid'>Nothing</span>     <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>m</span>
<a name="line-1103"></a>  <span class='hs-comment'>{-# INLINE traverseMax #-}</span>
<a name="line-1104"></a>
<a name="line-1105"></a><a name="instance%20TraverseMax%20k%20(Map%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraverseMax</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-1106"></a>  <span class='hs-varid'>traverseMax</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>maxViewWithKey</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-1107"></a>    <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>updateMax</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-1108"></a>    <span class='hs-conid'>Nothing</span>          <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>m</span>
<a name="line-1109"></a>  <span class='hs-comment'>{-# INLINE traverseMax #-}</span>
<a name="line-1110"></a>
<a name="line-1111"></a><a name="elementOf"></a><span class='hs-comment'>-- | Traverse the /nth/ 'elementOf' a 'Traversal', 'Lens' or</span>
<a name="line-1112"></a><span class='hs-comment'>-- 'Iso' if it exists.</span>
<a name="line-1113"></a><span class='hs-comment'>--</span>
<a name="line-1114"></a><span class='hs-comment'>-- &gt;&gt;&gt; [[1],[3,4]] &amp; elementOf (traverse.traverse) 1 .~ 5</span>
<a name="line-1115"></a><span class='hs-comment'>-- [[1],[5,4]]</span>
<a name="line-1116"></a><span class='hs-comment'>--</span>
<a name="line-1117"></a><span class='hs-comment'>-- &gt;&gt;&gt; [[1],[3,4]] ^? elementOf (folded.folded) 1</span>
<a name="line-1118"></a><span class='hs-comment'>-- Just 3</span>
<a name="line-1119"></a><span class='hs-comment'>--</span>
<a name="line-1120"></a><span class='hs-comment'>-- &gt;&gt;&gt; timingOut $ ['a'..] ^?! elementOf folded 5</span>
<a name="line-1121"></a><span class='hs-comment'>-- 'f'</span>
<a name="line-1122"></a><span class='hs-comment'>--</span>
<a name="line-1123"></a><span class='hs-comment'>-- &gt;&gt;&gt; timingOut $ take 10 $ elementOf traverse 3 .~ 16 $ [0..]</span>
<a name="line-1124"></a><span class='hs-comment'>-- [0,1,2,16,4,5,6,7,8,9]</span>
<a name="line-1125"></a><span class='hs-comment'>--</span>
<a name="line-1126"></a><span class='hs-comment'>-- @</span>
<a name="line-1127"></a><span class='hs-comment'>-- 'elementOf' :: 'Traversal'' s a -&gt; 'Int' -&gt; 'IndexedTraversal'' 'Int' s a</span>
<a name="line-1128"></a><span class='hs-comment'>-- 'elementOf' :: 'Fold' s a       -&gt; 'Int' -&gt; 'IndexedFold' 'Int' s a</span>
<a name="line-1129"></a><span class='hs-comment'>-- @</span>
<a name="line-1130"></a><span class='hs-definition'>elementOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span>
<a name="line-1131"></a>          <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexing</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-1132"></a>          <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Int</span>
<a name="line-1133"></a>          <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedLensLike</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-1134"></a><span class='hs-definition'>elementOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>elementsOf</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-varop'>==</span><span class='hs-layout'>)</span>
<a name="line-1135"></a><span class='hs-comment'>{-# INLINE elementOf #-}</span>
<a name="line-1136"></a>
<a name="line-1137"></a><a name="element"></a><span class='hs-comment'>-- | Traverse the /nth/ element of a 'Traversable' container.</span>
<a name="line-1138"></a><span class='hs-comment'>--</span>
<a name="line-1139"></a><span class='hs-comment'>-- @</span>
<a name="line-1140"></a><span class='hs-comment'>-- 'element' ≡ 'elementOf' 'traverse'</span>
<a name="line-1141"></a><span class='hs-comment'>-- @</span>
<a name="line-1142"></a><span class='hs-definition'>element</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-1143"></a><span class='hs-definition'>element</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>elementOf</span> <span class='hs-varid'>traverse</span>
<a name="line-1144"></a><span class='hs-comment'>{-# INLINE element #-}</span>
<a name="line-1145"></a>
<a name="line-1146"></a><a name="elementsOf"></a><span class='hs-comment'>-- | Traverse (or fold) selected elements of a 'Traversal' (or 'Fold') where their ordinal positions match a predicate.</span>
<a name="line-1147"></a><span class='hs-comment'>--</span>
<a name="line-1148"></a><span class='hs-comment'>-- @</span>
<a name="line-1149"></a><span class='hs-comment'>-- 'elementsOf' :: 'Traversal'' s a -&gt; ('Int' -&gt; 'Bool') -&gt; 'IndexedTraversal'' 'Int' s a</span>
<a name="line-1150"></a><span class='hs-comment'>-- 'elementsOf' :: 'Fold' s a       -&gt; ('Int' -&gt; 'Bool') -&gt; 'IndexedFold' 'Int' s a</span>
<a name="line-1151"></a><span class='hs-comment'>-- @</span>
<a name="line-1152"></a><span class='hs-definition'>elementsOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span>
<a name="line-1153"></a>           <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexing</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-1154"></a>           <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span>
<a name="line-1155"></a>           <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedLensLike</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-1156"></a><span class='hs-definition'>elementsOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>p</span> <span class='hs-varid'>iafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>$</span> <span class='hs-varid'>runIndexing</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Indexing</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>i</span> <span class='hs-varop'>`seq`</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>+</span> <span class='hs-num'>1</span><span class='hs-layout'>,</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>p</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>iafb</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-num'>0</span>
<a name="line-1157"></a><span class='hs-comment'>{-# INLINE elementsOf #-}</span>
<a name="line-1158"></a>
<a name="line-1159"></a><a name="elements"></a><span class='hs-comment'>-- | Traverse elements of a 'Traversable' container where their ordinal positions match a predicate.</span>
<a name="line-1160"></a><span class='hs-comment'>--</span>
<a name="line-1161"></a><span class='hs-comment'>-- @</span>
<a name="line-1162"></a><span class='hs-comment'>-- 'elements' ≡ 'elementsOf' 'traverse'</span>
<a name="line-1163"></a><span class='hs-comment'>-- @</span>
<a name="line-1164"></a><span class='hs-definition'>elements</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-1165"></a><span class='hs-definition'>elements</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>elementsOf</span> <span class='hs-varid'>traverse</span>
<a name="line-1166"></a><span class='hs-comment'>{-# INLINE elements #-}</span>
<a name="line-1167"></a>
<a name="line-1168"></a><a name="failover"></a><span class='hs-comment'>-- | Try to map a function over this 'Traversal', failing if the 'Traversal' has no targets.</span>
<a name="line-1169"></a><span class='hs-comment'>--</span>
<a name="line-1170"></a><span class='hs-comment'>-- &gt;&gt;&gt; failover (element 3) (*2) [1,2] :: Maybe [Int]</span>
<a name="line-1171"></a><span class='hs-comment'>-- Nothing</span>
<a name="line-1172"></a><span class='hs-comment'>--</span>
<a name="line-1173"></a><span class='hs-comment'>-- &gt;&gt;&gt; failover _Left (*2) (Right 4) :: Maybe (Either Int Int)</span>
<a name="line-1174"></a><span class='hs-comment'>-- Nothing</span>
<a name="line-1175"></a><span class='hs-comment'>--</span>
<a name="line-1176"></a><span class='hs-comment'>-- &gt;&gt;&gt; failover _Right (*2) (Right 4) :: Maybe (Either Int Int)</span>
<a name="line-1177"></a><span class='hs-comment'>-- Just (Right 8)</span>
<a name="line-1178"></a><span class='hs-comment'>--</span>
<a name="line-1179"></a><span class='hs-comment'>-- @</span>
<a name="line-1180"></a><span class='hs-comment'>-- 'failover' :: Alternative m =&gt; Traversal s t a b -&gt; (a -&gt; b) -&gt; s -&gt; m t</span>
<a name="line-1181"></a><span class='hs-comment'>-- @</span>
<a name="line-1182"></a><span class='hs-definition'>failover</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Alternative</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-conid'>Any</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-1183"></a><span class='hs-definition'>failover</span> <span class='hs-varid'>l</span> <span class='hs-varid'>afb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>afb</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-1184"></a>  <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>True</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>t</span>
<a name="line-1185"></a>  <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>False</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-varid'>empty</span>
<a name="line-1186"></a><span class='hs-comment'>{-# INLINE failover #-}</span>
<a name="line-1187"></a>
<a name="line-1188"></a><a name="ifailover"></a><span class='hs-comment'>-- | Try to map a function which uses the index over this 'IndexedTraversal', failing if the 'IndexedTraversal' has no targets.</span>
<a name="line-1189"></a><span class='hs-comment'>--</span>
<a name="line-1190"></a><span class='hs-comment'>-- @</span>
<a name="line-1191"></a><span class='hs-comment'>-- 'ifailover' :: Alternative m =&gt; IndexedTraversal i s t a b -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; m t</span>
<a name="line-1192"></a><span class='hs-comment'>-- @</span>
<a name="line-1193"></a><span class='hs-definition'>ifailover</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Alternative</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-conid'>Any</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>t</span>
<a name="line-1194"></a><span class='hs-definition'>ifailover</span> <span class='hs-varid'>l</span> <span class='hs-varid'>iafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-varop'>`rmap`</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>iafb</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-1195"></a>  <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>True</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varid'>t</span>
<a name="line-1196"></a>  <span class='hs-layout'>(</span><span class='hs-conid'>Any</span> <span class='hs-conid'>False</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-varid'>empty</span>
<a name="line-1197"></a><span class='hs-comment'>{-# INLINE ifailover #-}</span>
<a name="line-1198"></a>
<a name="line-1199"></a><a name="failing"></a><span class='hs-comment'>-- | Try the first 'Traversal' (or 'Fold'), falling back on the second 'Traversal' (or 'Fold') if it returns no entries.</span>
<a name="line-1200"></a><span class='hs-comment'>--</span>
<a name="line-1201"></a><span class='hs-comment'>-- This is only a valid 'Traversal' if the second 'Traversal' is disjoint from the result of the first or returns</span>
<a name="line-1202"></a><span class='hs-comment'>-- exactly the same results. These conditions are trivially met when given a 'Lens', 'Iso', 'Getter', 'Prism' or \"affine\" Traversal -- one that</span>
<a name="line-1203"></a><span class='hs-comment'>-- has 0 or 1 target.</span>
<a name="line-1204"></a><span class='hs-comment'>--</span>
<a name="line-1205"></a><span class='hs-comment'>-- Mutatis mutandis for 'Fold'.</span>
<a name="line-1206"></a><span class='hs-comment'>--</span>
<a name="line-1207"></a><span class='hs-comment'>-- &gt;&gt;&gt; [0,1,2,3] ^? failing (ix 1) (ix 2)</span>
<a name="line-1208"></a><span class='hs-comment'>-- Just 1</span>
<a name="line-1209"></a><span class='hs-comment'>--</span>
<a name="line-1210"></a><span class='hs-comment'>-- &gt;&gt;&gt; [0,1,2,3] ^? failing (ix 42) (ix 2)</span>
<a name="line-1211"></a><span class='hs-comment'>-- Just 2</span>
<a name="line-1212"></a><span class='hs-comment'>--</span>
<a name="line-1213"></a><span class='hs-comment'>-- @</span>
<a name="line-1214"></a><span class='hs-comment'>-- 'failing' :: 'Traversal' s t a b -&gt; 'Traversal' s t a b -&gt; 'Traversal' s t a b</span>
<a name="line-1215"></a><span class='hs-comment'>-- 'failing' :: 'Prism' s t a b     -&gt; 'Prism' s t a b     -&gt; 'Traversal' s t a b</span>
<a name="line-1216"></a><span class='hs-comment'>-- 'failing' :: 'Fold' s a          -&gt; 'Fold' s a          -&gt; 'Fold' s a</span>
<a name="line-1217"></a><span class='hs-comment'>-- @</span>
<a name="line-1218"></a><span class='hs-comment'>--</span>
<a name="line-1219"></a><span class='hs-comment'>-- These cases are also supported, trivially, but are boring, because the left hand side always succeeds.</span>
<a name="line-1220"></a><span class='hs-comment'>--</span>
<a name="line-1221"></a><span class='hs-comment'>-- @</span>
<a name="line-1222"></a><span class='hs-comment'>-- 'failing' :: 'Lens' s t a b      -&gt; 'Traversal' s t a b -&gt; 'Traversal' s t a b</span>
<a name="line-1223"></a><span class='hs-comment'>-- 'failing' :: 'Iso' s t a b       -&gt; 'Traversal' s t a b -&gt; 'Traversal' s t a b</span>
<a name="line-1224"></a><span class='hs-comment'>-- 'failing' :: 'Equality' s t a b  -&gt; 'Traversal' s t a b -&gt; 'Traversal' s t a b</span>
<a name="line-1225"></a><span class='hs-comment'>-- 'failing' :: 'Getter' s a        -&gt; 'Fold' s a          -&gt; 'Fold' s a</span>
<a name="line-1226"></a><span class='hs-comment'>-- @</span>
<a name="line-1227"></a><span class='hs-comment'>--</span>
<a name="line-1228"></a><span class='hs-comment'>-- If both of the inputs are indexed, the result is also indexed, so you can apply this to a pair of indexed</span>
<a name="line-1229"></a><span class='hs-comment'>-- traversals or indexed folds, obtaining an indexed traversal or indexed fold.</span>
<a name="line-1230"></a><span class='hs-comment'>--</span>
<a name="line-1231"></a><span class='hs-comment'>-- @</span>
<a name="line-1232"></a><span class='hs-comment'>-- 'failing' :: 'IndexedTraversal' i s t a b -&gt; 'IndexedTraversal' i s t a b -&gt; 'IndexedTraversal' i s t a b</span>
<a name="line-1233"></a><span class='hs-comment'>-- 'failing' :: 'IndexedFold' i s a          -&gt; 'IndexedFold' i s a          -&gt; 'IndexedFold' i s a</span>
<a name="line-1234"></a><span class='hs-comment'>-- @</span>
<a name="line-1235"></a><span class='hs-comment'>--</span>
<a name="line-1236"></a><span class='hs-comment'>-- These cases are also supported, trivially, but are boring, because the left hand side always succeeds.</span>
<a name="line-1237"></a><span class='hs-comment'>--</span>
<a name="line-1238"></a><span class='hs-comment'>-- @</span>
<a name="line-1239"></a><span class='hs-comment'>-- 'failing' :: 'IndexedLens' i s t a b      -&gt; 'IndexedTraversal' i s t a b -&gt; 'IndexedTraversal' i s t a b</span>
<a name="line-1240"></a><span class='hs-comment'>-- 'failing' :: 'IndexedGetter' i s a        -&gt; 'IndexedGetter' i s a        -&gt; 'IndexedFold' i s a</span>
<a name="line-1241"></a><span class='hs-comment'>-- @</span>
<a name="line-1242"></a><span class='hs-definition'>failing</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1243"></a><span class='hs-definition'>failing</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>pins</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-1244"></a>  <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>s</span>
<a name="line-1245"></a>  <span class='hs-keyword'>_</span>  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>bazaar</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>b</span>
<a name="line-1246"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-1247"></a>
<a name="line-1248"></a><span class='hs-keyword'>infixl</span> <span class='hs-num'>5</span> <span class='hs-varop'>`failing`</span>
<a name="line-1249"></a>
<a name="line-1250"></a><a name="deepOf"></a><span class='hs-comment'>-- | Try the second traversal. If it returns no entries, try again with all entries from the first traversal, recursively.</span>
<a name="line-1251"></a><span class='hs-comment'>--</span>
<a name="line-1252"></a><span class='hs-comment'>-- @</span>
<a name="line-1253"></a><span class='hs-comment'>-- 'deepOf' :: 'Fold' s s          -&gt; 'Fold' s a                   -&gt; 'Fold' s a</span>
<a name="line-1254"></a><span class='hs-comment'>-- 'deepOf' :: 'Traversal'' s s    -&gt; 'Traversal'' s a             -&gt; 'Traversal'' s a</span>
<a name="line-1255"></a><span class='hs-comment'>-- 'deepOf' :: 'Traversal' s t s t -&gt; 'Traversal' s t a b          -&gt; 'Traversal' s t a b</span>
<a name="line-1256"></a><span class='hs-comment'>-- 'deepOf' :: 'Fold' s s          -&gt; 'IndexedFold' i s a          -&gt; 'IndexedFold' i s a</span>
<a name="line-1257"></a><span class='hs-comment'>-- 'deepOf' :: 'Traversal' s t s t -&gt; 'IndexedTraversal' i s t a b -&gt; 'IndexedTraversal' i s t a b</span>
<a name="line-1258"></a><span class='hs-comment'>-- @</span>
<a name="line-1259"></a><span class='hs-definition'>deepOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Conjoined</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Over</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1260"></a><span class='hs-definition'>deepOf</span> <span class='hs-varid'>r</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span>
<a name="line-1261"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>go</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>pins</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-1262"></a>          <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span> <span class='hs-varid'>go</span> <span class='hs-varid'>s</span>
<a name="line-1263"></a>          <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>unsafeOuts</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-1264"></a>          <span class='hs-keyword'>where</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varid'>sell</span> <span class='hs-varid'>s</span>
<a name="line-1265"></a>
<a name="line-1266"></a><a name="confusing"></a><span class='hs-comment'>-- | "Fuse" a 'Traversal' by reassociating all of the '\&lt;*\&gt;' operations to the</span>
<a name="line-1267"></a><span class='hs-comment'>-- left and fusing all of the 'fmap' calls into one. This is particularly</span>
<a name="line-1268"></a><span class='hs-comment'>-- useful when constructing a 'Traversal' using operations from GHC.Generics.</span>
<a name="line-1269"></a><span class='hs-comment'>--</span>
<a name="line-1270"></a><span class='hs-comment'>-- Given a pair of 'Traversal's 'foo' and 'bar',</span>
<a name="line-1271"></a><span class='hs-comment'>--</span>
<a name="line-1272"></a><span class='hs-comment'>-- @</span>
<a name="line-1273"></a><span class='hs-comment'>-- 'confusing' (foo.bar) = foo.bar</span>
<a name="line-1274"></a><span class='hs-comment'>-- @</span>
<a name="line-1275"></a><span class='hs-comment'>--</span>
<a name="line-1276"></a><span class='hs-comment'>-- However, @foo@ and @bar@ are each going to use the 'Applicative' they are given.</span>
<a name="line-1277"></a><span class='hs-comment'>--</span>
<a name="line-1278"></a><span class='hs-comment'>-- 'confusing' exploits the 'Yoneda' lemma to merge their separate uses of 'fmap' into a single 'fmap'.</span>
<a name="line-1279"></a><span class='hs-comment'>-- and it further exploits an interesting property of the right Kan lift (or 'Rift') to left associate</span>
<a name="line-1280"></a><span class='hs-comment'>-- all of the uses of '(&lt;*&gt;)' to make it possible to fuse together more fmaps.</span>
<a name="line-1281"></a><span class='hs-comment'>--</span>
<a name="line-1282"></a><span class='hs-comment'>-- This is particularly effective when the choice of functor 'f' is unknown at compile</span>
<a name="line-1283"></a><span class='hs-comment'>-- time or when the 'Traversal' @foo.bar@ in the above description is recursive or complex</span>
<a name="line-1284"></a><span class='hs-comment'>-- enough to prevent inlining.</span>
<a name="line-1285"></a><span class='hs-comment'>--</span>
<a name="line-1286"></a><span class='hs-comment'>-- 'Control.Lens.Lens.fusing' is a version of this combinator suitable for fusing lenses.</span>
<a name="line-1287"></a><span class='hs-comment'>--</span>
<a name="line-1288"></a><span class='hs-comment'>-- @</span>
<a name="line-1289"></a><span class='hs-comment'>-- 'confusing' :: 'Traversal' s t a b -&gt; 'Traversal' s t a b</span>
<a name="line-1290"></a><span class='hs-comment'>-- @</span>
<a name="line-1291"></a><span class='hs-definition'>confusing</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rift</span> <span class='hs-layout'>(</span><span class='hs-conid'>Yoneda</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Yoneda</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1292"></a><span class='hs-definition'>confusing</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>lowerYoneda</span> <span class='hs-varop'>.</span> <span class='hs-varid'>lowerRift</span> <span class='hs-varop'>.</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftRiftYoneda</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-1293"></a>  <span class='hs-keyword'>where</span>
<a name="line-1294"></a>  <span class='hs-varid'>liftRiftYoneda</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Rift</span> <span class='hs-layout'>(</span><span class='hs-conid'>Yoneda</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Yoneda</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-1295"></a>  <span class='hs-varid'>liftRiftYoneda</span> <span class='hs-varid'>fa</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Rift</span> <span class='hs-layout'>(</span><span class='hs-varop'>`yap`</span> <span class='hs-varid'>fa</span><span class='hs-layout'>)</span>
<a name="line-1296"></a>  <span class='hs-comment'>{-# INLINE liftRiftYoneda #-}</span>
<a name="line-1297"></a>
<a name="line-1298"></a>  <span class='hs-varid'>yap</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Yoneda</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Yoneda</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span>
<a name="line-1299"></a>  <span class='hs-varid'>yap</span> <span class='hs-layout'>(</span><span class='hs-conid'>Yoneda</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-varid'>fa</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Yoneda</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>ab_r</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>ab_r</span> <span class='hs-varop'>.</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>fa</span><span class='hs-layout'>)</span>
<a name="line-1300"></a>  <span class='hs-comment'>{-# INLINE yap #-}</span>
<a name="line-1301"></a>
<a name="line-1302"></a><span class='hs-comment'>{-# INLINE confusing #-}</span>
<a name="line-1303"></a>
<a name="line-1304"></a><a name="traverseByOf"></a><span class='hs-comment'>-- | Traverse a container using a specified 'Applicative'.</span>
<a name="line-1305"></a><span class='hs-comment'>--</span>
<a name="line-1306"></a><span class='hs-comment'>-- This is like 'traverseBy' where the 'Traversable' instance can be specified by any 'Traversal'</span>
<a name="line-1307"></a><span class='hs-comment'>--</span>
<a name="line-1308"></a><span class='hs-comment'>-- @</span>
<a name="line-1309"></a><span class='hs-comment'>-- 'traverseByOf' 'traverse' ≡ 'traverseBy'</span>
<a name="line-1310"></a><span class='hs-comment'>-- @</span>
<a name="line-1311"></a><span class='hs-definition'>traverseByOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>x</span><span class='hs-varop'>.</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-1312"></a><span class='hs-definition'>traverseByOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pur</span> <span class='hs-varid'>app</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reifyApplicative</span> <span class='hs-varid'>pur</span> <span class='hs-varid'>app</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>ReflectedApplicative</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-1313"></a>
<a name="line-1314"></a><a name="sequenceByOf"></a><span class='hs-comment'>-- | Sequence a container using a specified 'Applicative'.</span>
<a name="line-1315"></a><span class='hs-comment'>--</span>
<a name="line-1316"></a><span class='hs-comment'>-- This is like 'traverseBy' where the 'Traversable' instance can be specified by any 'Traversal'</span>
<a name="line-1317"></a><span class='hs-comment'>--</span>
<a name="line-1318"></a><span class='hs-comment'>-- @</span>
<a name="line-1319"></a><span class='hs-comment'>-- 'sequenceByOf' 'traverse' ≡ 'sequenceBy'</span>
<a name="line-1320"></a><span class='hs-comment'>-- @</span>
<a name="line-1321"></a><span class='hs-definition'>sequenceByOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversal</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>x</span><span class='hs-varop'>.</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-1322"></a><span class='hs-definition'>sequenceByOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pur</span> <span class='hs-varid'>app</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reifyApplicative</span> <span class='hs-varid'>pur</span> <span class='hs-varid'>app</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-conid'>ReflectedApplicative</span><span class='hs-layout'>)</span>
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