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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/Indexed.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 DefaultSignatures #-}</span>
<a name="line-7"></a><span class='hs-comment'>{-# LANGUAGE UndecidableInstances #-}</span>
<a name="line-8"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-9"></a><span class='hs-comment'>{-# LANGUAGE FunctionalDependencies #-}</span>
<a name="line-10"></a>
<a name="line-11"></a><span class='hs-cpp'>#ifdef TRUSTWORTHY</span>
<a name="line-12"></a><span class='hs-comment'>{-# LANGUAGE Trustworthy #-}</span> <span class='hs-comment'>-- vector, hashable</span>
<a name="line-13"></a><span class='hs-cpp'>#endif</span>
<a name="line-14"></a>
<a name="line-15"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &gt;= 711</span>
<a name="line-16"></a><span class='hs-comment'>{-# OPTIONS_GHC -fno-warn-redundant-constraints #-}</span>
<a name="line-17"></a><span class='hs-cpp'>#endif</span>
<a name="line-18"></a>
<a name="line-19"></a><span class='hs-cpp'>#ifndef MIN_VERSION_containers</span>
<a name="line-20"></a><span class='hs-cpp'>#define MIN_VERSION_containers(x,y,z) 1</span>
<a name="line-21"></a><span class='hs-cpp'>#endif</span>
<a name="line-22"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-23"></a><span class='hs-comment'>-- |</span>
<a name="line-24"></a><span class='hs-comment'>-- Module      :  Control.Lens.Indexed</span>
<a name="line-25"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-15 Edward Kmett</span>
<a name="line-26"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-27"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-28"></a><span class='hs-comment'>-- Stability   :  provisional</span>
<a name="line-29"></a><span class='hs-comment'>-- Portability :  Rank2Types</span>
<a name="line-30"></a><span class='hs-comment'>--</span>
<a name="line-31"></a><span class='hs-comment'>-- (The classes in here need to be defined together for @DefaultSignatures@ to work.)</span>
<a name="line-32"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-33"></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'>Indexed</span>
<a name="line-34"></a>  <span class='hs-layout'>(</span>
<a name="line-35"></a>  <span class='hs-comment'>-- * Indexing</span>
<a name="line-36"></a>    <span class='hs-conid'>Indexable</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-37"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Conjoined</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-38"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Indexed</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-39"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;.</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;.&gt;</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.&gt;</span><span class='hs-layout'>)</span>
<a name="line-40"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>selfIndex</span>
<a name="line-41"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>reindexed</span>
<a name="line-42"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>icompose</span>
<a name="line-43"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>indexing</span>
<a name="line-44"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>indexing64</span>
<a name="line-45"></a>  <span class='hs-comment'>-- * Indexed Functors</span>
<a name="line-46"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>FunctorWithIndex</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-47"></a>  <span class='hs-comment'>-- * Indexed Foldables</span>
<a name="line-48"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>FoldableWithIndex</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-49"></a>  <span class='hs-comment'>-- ** Indexed Foldable Combinators</span>
<a name="line-50"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iany</span>
<a name="line-51"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iall</span>
<a name="line-52"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>inone</span><span class='hs-layout'>,</span> <span class='hs-varid'>none</span>
<a name="line-53"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>itraverse_</span>
<a name="line-54"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifor_</span>
<a name="line-55"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapM_</span>
<a name="line-56"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iforM_</span>
<a name="line-57"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iconcatMap</span>
<a name="line-58"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifind</span>
<a name="line-59"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifoldrM</span>
<a name="line-60"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifoldlM</span>
<a name="line-61"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>itoList</span>
<a name="line-62"></a>  <span class='hs-comment'>-- * Converting to Folds</span>
<a name="line-63"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>withIndex</span>
<a name="line-64"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>asIndex</span>
<a name="line-65"></a>  <span class='hs-comment'>-- * Restricting by Index</span>
<a name="line-66"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>indices</span>
<a name="line-67"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>index</span>
<a name="line-68"></a>  <span class='hs-comment'>-- * Indexed Traversables</span>
<a name="line-69"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>TraversableWithIndex</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-70"></a>  <span class='hs-comment'>-- * Indexed Traversable Combinators</span>
<a name="line-71"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifor</span>
<a name="line-72"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapM</span>
<a name="line-73"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>iforM</span>
<a name="line-74"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapAccumR</span>
<a name="line-75"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapAccumL</span>
<a name="line-76"></a>  <span class='hs-comment'>-- * Indexed Folds with Reified Monoid</span>
<a name="line-77"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifoldMapBy</span>
<a name="line-78"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>ifoldMapByOf</span>
<a name="line-79"></a>  <span class='hs-comment'>-- * Indexed Traversals with Reified Applicative</span>
<a name="line-80"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>itraverseBy</span>
<a name="line-81"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>itraverseByOf</span>
<a name="line-82"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-83"></a>
<a name="line-84"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-85"></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-86"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Cofree</span>
<a name="line-87"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Traced</span>
<a name="line-88"></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-layout'>(</span><span class='hs-varid'>void</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftM</span><span class='hs-layout'>)</span>
<a name="line-89"></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'>Identity</span>
<a name="line-90"></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'>Reader</span>
<a name="line-91"></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> <span class='hs-keyword'>as</span> <span class='hs-conid'>Lazy</span>
<a name="line-92"></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'>Free</span>
<a name="line-93"></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-94"></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>
<a name="line-95"></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'>Fold</span>
<a name="line-96"></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-97"></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'>Level</span>
<a name="line-98"></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'>Magma</span>
<a name="line-99"></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>
<a name="line-100"></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'>Traversal</span>
<a name="line-101"></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-102"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Array</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span><span class='hs-layout'>)</span>
<a name="line-103"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Array</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Array</span>
<a name="line-104"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</span>
<a name="line-105"></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-106"></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'>Contravariant</span>
<a name="line-107"></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'>Product</span>
<a name="line-108"></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'>Reverse</span>
<a name="line-109"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Hashable</span>
<a name="line-110"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>HashMap</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>HashMap</span>
<a name="line-111"></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-112"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Ix</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ix</span><span class='hs-layout'>)</span>
<a name="line-113"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span><span class='hs-varop'>.</span><span class='hs-conid'>NonEmpty</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>NonEmpty</span>
<a name="line-114"></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-115"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span><span class='hs-layout'>)</span>
<a name="line-116"></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-117"></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-118"></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-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conop'>:&lt;</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>index</span><span class='hs-layout'>)</span>
<a name="line-119"></a><span class='hs-cpp'>#if !(MIN_VERSION_containers(0,5,0))</span>
<a name="line-120"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span> <span class='hs-layout'>(</span><span class='hs-varid'>sequenceA</span><span class='hs-layout'>)</span>
<a name="line-121"></a><span class='hs-cpp'>#endif</span>
<a name="line-122"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Tree</span>
<a name="line-123"></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-124"></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-layout'>(</span><span class='hs-conid'>Vector</span><span class='hs-layout'>)</span>
<a name="line-125"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</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'>V</span>
<a name="line-126"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span>
<a name="line-127"></a>
<a name="line-128"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>9</span> <span class='hs-varop'>&lt;.&gt;</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.</span><span class='hs-layout'>,</span> <span class='hs-varop'>.&gt;</span>
<a name="line-129"></a>
<a name="line-130"></a><span class='hs-comment'>-- $setup</span>
<a name="line-131"></a><span class='hs-comment'>-- &gt;&gt;&gt; :set -XNoOverloadedStrings</span>
<a name="line-132"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Control.Lens</span>
<a name="line-133"></a>
<a name="line-134"></a><a name="%3c."></a><span class='hs-comment'>-- | Compose an 'Indexed' function with a non-indexed function.</span>
<a name="line-135"></a><span class='hs-comment'>--</span>
<a name="line-136"></a><span class='hs-comment'>-- Mnemonically, the @&lt;@ points to the indexing we want to preserve.</span>
<a name="line-137"></a><span class='hs-comment'>--</span>
<a name="line-138"></a><span class='hs-comment'>-- &gt;&gt;&gt; let nestedMap = (fmap Map.fromList . Map.fromList) [(1, [(10, "one,ten"), (20, "one,twenty")]), (2, [(30, "two,thirty"), (40,"two,forty")])]</span>
<a name="line-139"></a><span class='hs-comment'>-- &gt;&gt;&gt; nestedMap^..(itraversed&lt;.itraversed).withIndex</span>
<a name="line-140"></a><span class='hs-comment'>-- [(1,"one,ten"),(1,"one,twenty"),(2,"two,thirty"),(2,"two,forty")]</span>
<a name="line-141"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexable</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</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'>t</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> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-142"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.</span><span class='hs-layout'>)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Indexed</span> <span class='hs-varop'>$</span> <span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>h</span>
<a name="line-143"></a><span class='hs-comment'>{-# INLINE (&lt;.) #-}</span>
<a name="line-144"></a>
<a name="line-145"></a><a name=".%3e"></a><span class='hs-comment'>-- | Compose a non-indexed function with an 'Indexed' function.</span>
<a name="line-146"></a><span class='hs-comment'>--</span>
<a name="line-147"></a><span class='hs-comment'>-- Mnemonically, the @&gt;@ points to the indexing we want to preserve.</span>
<a name="line-148"></a><span class='hs-comment'>--</span>
<a name="line-149"></a><span class='hs-comment'>-- This is the same as @('.')@.</span>
<a name="line-150"></a><span class='hs-comment'>--</span>
<a name="line-151"></a><span class='hs-comment'>-- @f '.' g@ (and @f '.&gt;' g@) gives you the index of @g@ unless @g@ is index-preserving, like a</span>
<a name="line-152"></a><span class='hs-comment'>-- 'Prism', 'Iso' or 'Equality', in which case it'll pass through the index of @f@.</span>
<a name="line-153"></a><span class='hs-comment'>--</span>
<a name="line-154"></a><span class='hs-comment'>-- &gt;&gt;&gt; let nestedMap = (fmap Map.fromList . Map.fromList) [(1, [(10, "one,ten"), (20, "one,twenty")]), (2, [(30, "two,thirty"), (40,"two,forty")])]</span>
<a name="line-155"></a><span class='hs-comment'>-- &gt;&gt;&gt; nestedMap^..(itraversed.&gt;itraversed).withIndex</span>
<a name="line-156"></a><span class='hs-comment'>-- [(10,"one,ten"),(20,"one,twenty"),(30,"two,thirty"),(40,"two,forty")]</span>
<a name="line-157"></a><span class='hs-layout'>(</span><span class='hs-varop'>.&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>st</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>kab</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>st</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>kab</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-158"></a><span class='hs-layout'>(</span><span class='hs-varop'>.&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varop'>.</span><span class='hs-layout'>)</span>
<a name="line-159"></a><span class='hs-comment'>{-# INLINE (.&gt;) #-}</span>
<a name="line-160"></a>
<a name="line-161"></a><a name="selfIndex"></a><span class='hs-comment'>-- | Use a value itself as its own index. This is essentially an indexed version of 'id'.</span>
<a name="line-162"></a><span class='hs-comment'>--</span>
<a name="line-163"></a><span class='hs-comment'>-- Note: When used to modify the value, this can break the index requirements assumed by 'indices' and similar,</span>
<a name="line-164"></a><span class='hs-comment'>-- so this is only properly an 'IndexedGetter', but it can be used as more.</span>
<a name="line-165"></a><span class='hs-comment'>--</span>
<a name="line-166"></a><span class='hs-comment'>-- @</span>
<a name="line-167"></a><span class='hs-comment'>-- 'selfIndex' :: 'IndexedGetter' a a b</span>
<a name="line-168"></a><span class='hs-comment'>-- @</span>
<a name="line-169"></a><span class='hs-definition'>selfIndex</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexable</span> <span class='hs-varid'>a</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>fb</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>fb</span>
<a name="line-170"></a><span class='hs-definition'>selfIndex</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-171"></a><span class='hs-comment'>{-# INLINE selfIndex #-}</span>
<a name="line-172"></a>
<a name="line-173"></a><a name="reindexed"></a><span class='hs-comment'>-- | Remap the index.</span>
<a name="line-174"></a><span class='hs-definition'>reindexed</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexable</span> <span class='hs-varid'>j</span> <span class='hs-varid'>p</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'>j</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</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-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</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> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-175"></a><span class='hs-definition'>reindexed</span> <span class='hs-varid'>ij</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Indexed</span> <span class='hs-varop'>$</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>ij</span>
<a name="line-176"></a><span class='hs-comment'>{-# INLINE reindexed #-}</span>
<a name="line-177"></a>
<a name="line-178"></a><a name="%3c.%3e"></a><span class='hs-comment'>-- | Composition of 'Indexed' functions.</span>
<a name="line-179"></a><span class='hs-comment'>--</span>
<a name="line-180"></a><span class='hs-comment'>-- Mnemonically, the @\&lt;@ and @\&gt;@ points to the fact that we want to preserve the indices.</span>
<a name="line-181"></a><span class='hs-comment'>--</span>
<a name="line-182"></a><span class='hs-comment'>-- &gt;&gt;&gt; let nestedMap = (fmap Map.fromList . Map.fromList) [(1, [(10, "one,ten"), (20, "one,twenty")]), (2, [(30, "two,thirty"), (40,"two,forty")])]</span>
<a name="line-183"></a><span class='hs-comment'>-- &gt;&gt;&gt; nestedMap^..(itraversed&lt;.&gt;itraversed).withIndex</span>
<a name="line-184"></a><span class='hs-comment'>-- [((1,10),"one,ten"),((1,20),"one,twenty"),((2,30),"two,thirty"),((2,40),"two,forty")]</span>
<a name="line-185"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexable</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>j</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-varid'>t</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> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-186"></a><a name="f"></a><span class='hs-definition'>f</span> <span class='hs-varop'>&lt;.&gt;</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>icompose</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span>
<a name="line-187"></a><span class='hs-comment'>{-# INLINE (&lt;.&gt;) #-}</span>
<a name="line-188"></a>
<a name="line-189"></a><a name="icompose"></a><span class='hs-comment'>-- | Composition of 'Indexed' functions with a user supplied function for combining indices.</span>
<a name="line-190"></a><span class='hs-definition'>icompose</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Indexable</span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</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'>j</span> <span class='hs-keyglyph'>-&gt;</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-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varid'>j</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-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-191"></a><span class='hs-definition'>icompose</span> <span class='hs-varid'>ijk</span> <span class='hs-varid'>istr</span> <span class='hs-varid'>jabst</span> <span class='hs-varid'>cab</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>istr</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Indexed</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-varid'>jabst</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Indexed</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>j</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>cab</span> <span class='hs-varop'>$</span> <span class='hs-varid'>ijk</span> <span class='hs-varid'>i</span> <span class='hs-varid'>j</span>
<a name="line-192"></a><span class='hs-comment'>{-# INLINE icompose #-}</span>
<a name="line-193"></a>
<a name="line-194"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-195"></a><span class='hs-comment'>-- Restricting by index</span>
<a name="line-196"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-197"></a>
<a name="line-198"></a><a name="indices"></a><span class='hs-comment'>-- | This allows you to filter an 'IndexedFold', 'IndexedGetter', 'IndexedTraversal' or 'IndexedLens' based on a predicate</span>
<a name="line-199"></a><span class='hs-comment'>-- on the indices.</span>
<a name="line-200"></a><span class='hs-comment'>--</span>
<a name="line-201"></a><span class='hs-comment'>-- &gt;&gt;&gt; ["hello","the","world","!!!"]^..traversed.indices even</span>
<a name="line-202"></a><span class='hs-comment'>-- ["hello","world"]</span>
<a name="line-203"></a><span class='hs-comment'>--</span>
<a name="line-204"></a><span class='hs-comment'>-- &gt;&gt;&gt; over (traversed.indices (&gt;0)) Prelude.reverse $ ["He","was","stressed","o_O"]</span>
<a name="line-205"></a><span class='hs-comment'>-- ["He","saw","desserts","O_o"]</span>
<a name="line-206"></a><span class='hs-definition'>indices</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexable</span> <span class='hs-varid'>i</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-layout'>(</span><span class='hs-varid'>i</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'>Optical'</span> <span class='hs-varid'>p</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'>a</span> <span class='hs-varid'>a</span>
<a name="line-207"></a><span class='hs-definition'>indices</span> <span class='hs-varid'>p</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Indexed</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</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'>f</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>
<a name="line-208"></a><span class='hs-comment'>{-# INLINE indices #-}</span>
<a name="line-209"></a>
<a name="line-210"></a><a name="index"></a><span class='hs-comment'>-- | This allows you to filter an 'IndexedFold', 'IndexedGetter', 'IndexedTraversal' or 'IndexedLens' based on an index.</span>
<a name="line-211"></a><span class='hs-comment'>--</span>
<a name="line-212"></a><span class='hs-comment'>-- &gt;&gt;&gt; ["hello","the","world","!!!"]^?traversed.index 2</span>
<a name="line-213"></a><span class='hs-comment'>-- Just "world"</span>
<a name="line-214"></a><span class='hs-definition'>index</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexable</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Eq</span> <span class='hs-varid'>i</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-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Optical'</span> <span class='hs-varid'>p</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'>a</span> <span class='hs-varid'>a</span>
<a name="line-215"></a><span class='hs-definition'>index</span> <span class='hs-varid'>j</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Indexed</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>j</span> <span class='hs-varop'>==</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</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>
<a name="line-216"></a><span class='hs-comment'>{-# INLINE index #-}</span>
<a name="line-217"></a>
<a name="line-218"></a>
<a name="line-219"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-220"></a><span class='hs-comment'>-- FunctorWithIndex</span>
<a name="line-221"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-222"></a>
<a name="line-223"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>-- | A 'Functor' with an additional index.</span>
<a name="line-224"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>--</span>
<a name="line-225"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>-- Instances must satisfy a modified form of the 'Functor' laws:</span>
<a name="line-226"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>--</span>
<a name="line-227"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>-- @</span>
<a name="line-228"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>-- 'imap' f '.' 'imap' g ≡ 'imap' (\\i -&gt; f i '.' g i)</span>
<a name="line-229"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>-- 'imap' (\\_ a -&gt; a) ≡ 'id'</span>
<a name="line-230"></a><a name="FunctorWithIndex"></a><span class='hs-comment'>-- @</span>
<a name="line-231"></a><a name="FunctorWithIndex"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>where</span>
<a name="line-232"></a>  <span class='hs-comment'>-- | Map with access to the index.</span>
<a name="line-233"></a>  <span class='hs-varid'>imap</span> <span class='hs-keyglyph'>::</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'>f</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>
<a name="line-234"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-235"></a>  <span class='hs-keyword'>default</span> <span class='hs-varid'>imap</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</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'>f</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>
<a name="line-236"></a>  <span class='hs-varid'>imap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iover</span> <span class='hs-varid'>itraversed</span>
<a name="line-237"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-238"></a><span class='hs-cpp'>#endif</span>
<a name="line-239"></a>
<a name="line-240"></a>  <span class='hs-comment'>-- | The 'IndexedSetter' for a 'FunctorWithIndex'.</span>
<a name="line-241"></a>  <span class='hs-comment'>--</span>
<a name="line-242"></a>  <span class='hs-comment'>-- If you don't need access to the index, then 'mapped' is more flexible in what it accepts.</span>
<a name="line-243"></a>  <span class='hs-varid'>imapped</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IndexedSetter</span> <span class='hs-varid'>i</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-244"></a>  <span class='hs-varid'>imapped</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span> <span class='hs-varid'>mapped</span> <span class='hs-layout'>(</span><span class='hs-varid'>isets</span> <span class='hs-varid'>imap</span><span class='hs-layout'>)</span>
<a name="line-245"></a>  <span class='hs-comment'>{-# INLINE imapped #-}</span>
<a name="line-246"></a>
<a name="line-247"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-248"></a><span class='hs-comment'>-- FoldableWithIndex</span>
<a name="line-249"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-250"></a>
<a name="line-251"></a><a name="FoldableWithIndex"></a><span class='hs-comment'>-- | A container that supports folding with an additional index.</span>
<a name="line-252"></a><a name="FoldableWithIndex"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>where</span>
<a name="line-253"></a>  <span class='hs-comment'>--</span>
<a name="line-254"></a>  <span class='hs-comment'>-- | Fold a container by mapping value to an arbitrary 'Monoid' with access to the index @i@.</span>
<a name="line-255"></a>  <span class='hs-comment'>--</span>
<a name="line-256"></a>  <span class='hs-comment'>-- When you don't need access to the index then 'foldMap' is more flexible in what it accepts.</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'>-- 'foldMap' ≡ 'ifoldMap' '.' 'const'</span>
<a name="line-260"></a>  <span class='hs-comment'>-- @</span>
<a name="line-261"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>m</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-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-varid'>m</span>
<a name="line-262"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-263"></a>  <span class='hs-keyword'>default</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>m</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'>m</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-varid'>m</span>
<a name="line-264"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMapOf</span> <span class='hs-varid'>itraversed</span>
<a name="line-265"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-266"></a><span class='hs-cpp'>#endif</span>
<a name="line-267"></a>
<a name="line-268"></a>  <span class='hs-comment'>-- | The 'IndexedFold' of a 'FoldableWithIndex' container.</span>
<a name="line-269"></a>  <span class='hs-comment'>--</span>
<a name="line-270"></a>  <span class='hs-comment'>-- @'ifolded' '.' 'asIndex'@ is a fold over the keys of a 'FoldableWithIndex'.</span>
<a name="line-271"></a>  <span class='hs-comment'>--</span>
<a name="line-272"></a>  <span class='hs-comment'>-- &gt;&gt;&gt; Data.Map.fromList [(2, "hello"), (1, "world")]^..ifolded.asIndex</span>
<a name="line-273"></a>  <span class='hs-comment'>-- [1,2]</span>
<a name="line-274"></a>  <span class='hs-varid'>ifolded</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IndexedFold</span> <span class='hs-varid'>i</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-varid'>a</span>
<a name="line-275"></a>  <span class='hs-varid'>ifolded</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conjoined</span> <span class='hs-varid'>folded</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>phantom</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getFolding</span> <span class='hs-varop'>.</span> <span class='hs-varid'>ifoldMap</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-conid'>Folding</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-276"></a>  <span class='hs-comment'>{-# INLINE ifolded #-}</span>
<a name="line-277"></a>
<a name="line-278"></a>  <span class='hs-comment'>-- | Right-associative fold of an indexed container with access to the index @i@.</span>
<a name="line-279"></a>  <span class='hs-comment'>--</span>
<a name="line-280"></a>  <span class='hs-comment'>-- When you don't need access to the index then 'Data.Foldable.foldr' is more flexible in what it accepts.</span>
<a name="line-281"></a>  <span class='hs-comment'>--</span>
<a name="line-282"></a>  <span class='hs-comment'>-- @</span>
<a name="line-283"></a>  <span class='hs-comment'>-- 'Data.Foldable.foldr' ≡ 'ifoldr' '.' 'const'</span>
<a name="line-284"></a>  <span class='hs-comment'>-- @</span>
<a name="line-285"></a>  <span class='hs-varid'>ifoldr</span>   <span class='hs-keyglyph'>::</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-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</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-varid'>b</span>
<a name="line-286"></a>  <span class='hs-varid'>ifoldr</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>appEndo</span> <span class='hs-layout'>(</span><span class='hs-varid'>ifoldMap</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-conid'>Endo</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varid'>z</span>
<a name="line-287"></a>  <span class='hs-comment'>{-# INLINE ifoldr #-}</span>
<a name="line-288"></a>
<a name="line-289"></a>  <span class='hs-comment'>-- | Left-associative fold of an indexed container with access to the index @i@.</span>
<a name="line-290"></a>  <span class='hs-comment'>--</span>
<a name="line-291"></a>  <span class='hs-comment'>-- When you don't need access to the index then 'Data.Foldable.foldl' is more flexible in what it accepts.</span>
<a name="line-292"></a>  <span class='hs-comment'>--</span>
<a name="line-293"></a>  <span class='hs-comment'>-- @</span>
<a name="line-294"></a>  <span class='hs-comment'>-- 'Data.Foldable.foldl' ≡ 'ifoldl' '.' 'const'</span>
<a name="line-295"></a>  <span class='hs-comment'>-- @</span>
<a name="line-296"></a>  <span class='hs-varid'>ifoldl</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</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'>b</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-varid'>b</span>
<a name="line-297"></a>  <span class='hs-varid'>ifoldl</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>appEndo</span> <span class='hs-layout'>(</span><span class='hs-varid'>getDual</span> <span class='hs-layout'>(</span><span class='hs-varid'>ifoldMap</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-conid'>Dual</span> <span class='hs-cpp'>#.</span> <span class='hs-conid'>Endo</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>flip</span> <span class='hs-layout'>(</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-varid'>t</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>z</span>
<a name="line-298"></a>  <span class='hs-comment'>{-# INLINE ifoldl #-}</span>
<a name="line-299"></a>
<a name="line-300"></a>  <span class='hs-comment'>-- | /Strictly/ fold right over the elements of a structure with access to the index @i@.</span>
<a name="line-301"></a>  <span class='hs-comment'>--</span>
<a name="line-302"></a>  <span class='hs-comment'>-- When you don't need access to the index then 'foldr'' is more flexible in what it accepts.</span>
<a name="line-303"></a>  <span class='hs-comment'>--</span>
<a name="line-304"></a>  <span class='hs-comment'>-- @</span>
<a name="line-305"></a>  <span class='hs-comment'>-- 'foldr'' ≡ 'ifoldr'' '.' 'const'</span>
<a name="line-306"></a>  <span class='hs-comment'>-- @</span>
<a name="line-307"></a>  <span class='hs-varid'>ifoldr'</span> <span class='hs-keyglyph'>::</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-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</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-varid'>b</span>
<a name="line-308"></a>  <span class='hs-varid'>ifoldr'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z0</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldl</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>id</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>z0</span>
<a name="line-309"></a>    <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>k</span> <span class='hs-varid'>x</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-varop'>$!</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>x</span> <span class='hs-varid'>z</span>
<a name="line-310"></a>  <span class='hs-comment'>{-# INLINE ifoldr' #-}</span>
<a name="line-311"></a>
<a name="line-312"></a>  <span class='hs-comment'>-- | Fold over the elements of a structure with an index, associating to the left, but /strictly/.</span>
<a name="line-313"></a>  <span class='hs-comment'>--</span>
<a name="line-314"></a>  <span class='hs-comment'>-- When you don't need access to the index then 'Control.Lens.Fold.foldlOf'' is more flexible in what it accepts.</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'>-- 'Control.Lens.Fold.foldlOf'' l ≡ 'ifoldlOf'' l '.' 'const'</span>
<a name="line-318"></a>  <span class='hs-comment'>-- @</span>
<a name="line-319"></a>  <span class='hs-varid'>ifoldl'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</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'>b</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-varid'>b</span>
<a name="line-320"></a>  <span class='hs-varid'>ifoldl'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z0</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldr</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>id</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>z0</span>
<a name="line-321"></a>    <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>x</span> <span class='hs-varid'>k</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-varop'>$!</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>z</span> <span class='hs-varid'>x</span>
<a name="line-322"></a>  <span class='hs-comment'>{-# INLINE ifoldl' #-}</span>
<a name="line-323"></a>
<a name="line-324"></a><a name="iany"></a><span class='hs-comment'>-- | Return whether or not any element in a container satisfies a predicate, with access to the index @i@.</span>
<a name="line-325"></a><span class='hs-comment'>--</span>
<a name="line-326"></a><span class='hs-comment'>-- When you don't need access to the index then 'any' is more flexible in what it accepts.</span>
<a name="line-327"></a><span class='hs-comment'>--</span>
<a name="line-328"></a><span class='hs-comment'>-- @</span>
<a name="line-329"></a><span class='hs-comment'>-- 'any' ≡ 'iany' '.' 'const'</span>
<a name="line-330"></a><span class='hs-comment'>-- @</span>
<a name="line-331"></a><span class='hs-definition'>iany</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</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-conid'>Bool</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'>Bool</span>
<a name="line-332"></a><span class='hs-definition'>iany</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getAny</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>ifoldMap</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-conid'>Any</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-333"></a><span class='hs-comment'>{-# INLINE iany #-}</span>
<a name="line-334"></a>
<a name="line-335"></a><a name="iall"></a><span class='hs-comment'>-- | Return whether or not all elements in a container satisfy a predicate, with access to the index @i@.</span>
<a name="line-336"></a><span class='hs-comment'>--</span>
<a name="line-337"></a><span class='hs-comment'>-- When you don't need access to the index then 'all' is more flexible in what it accepts.</span>
<a name="line-338"></a><span class='hs-comment'>--</span>
<a name="line-339"></a><span class='hs-comment'>-- @</span>
<a name="line-340"></a><span class='hs-comment'>-- 'all' ≡ 'iall' '.' 'const'</span>
<a name="line-341"></a><span class='hs-comment'>-- @</span>
<a name="line-342"></a><span class='hs-definition'>iall</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</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-conid'>Bool</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'>Bool</span>
<a name="line-343"></a><span class='hs-definition'>iall</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getAll</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>ifoldMap</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-conid'>All</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-344"></a><span class='hs-comment'>{-# INLINE iall #-}</span>
<a name="line-345"></a>
<a name="line-346"></a><a name="inone"></a><span class='hs-comment'>-- | Return whether or not none of the elements in a container satisfy a predicate, with access to the index @i@.</span>
<a name="line-347"></a><span class='hs-comment'>--</span>
<a name="line-348"></a><span class='hs-comment'>-- When you don't need access to the index then 'none' is more flexible in what it accepts.</span>
<a name="line-349"></a><span class='hs-comment'>--</span>
<a name="line-350"></a><span class='hs-comment'>-- @</span>
<a name="line-351"></a><span class='hs-comment'>-- 'none' ≡ 'inone' '.' 'const'</span>
<a name="line-352"></a><span class='hs-comment'>-- 'inone' f ≡ 'not' '.' 'iany' f</span>
<a name="line-353"></a><span class='hs-comment'>-- @</span>
<a name="line-354"></a><span class='hs-definition'>inone</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</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-conid'>Bool</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'>Bool</span>
<a name="line-355"></a><span class='hs-definition'>inone</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>not</span> <span class='hs-varop'>.</span> <span class='hs-varid'>iany</span> <span class='hs-varid'>f</span>
<a name="line-356"></a><span class='hs-comment'>{-# INLINE inone #-}</span>
<a name="line-357"></a>
<a name="line-358"></a><a name="none"></a><span class='hs-comment'>-- | Determines whether no elements of the structure satisfy the predicate.</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'>-- 'none' f ≡ 'not' '.' 'any' f</span>
<a name="line-362"></a><span class='hs-comment'>-- @</span>
<a name="line-363"></a><span class='hs-definition'>none</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</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-conid'>Bool</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'>Bool</span>
<a name="line-364"></a><span class='hs-definition'>none</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>not</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</span><span class='hs-varop'>.</span><span class='hs-varid'>any</span> <span class='hs-varid'>f</span>
<a name="line-365"></a><span class='hs-comment'>{-# INLINE none #-}</span>
<a name="line-366"></a>
<a name="line-367"></a><a name="itraverse_"></a><span class='hs-comment'>-- | Traverse elements with access to the index @i@, discarding the results.</span>
<a name="line-368"></a><span class='hs-comment'>--</span>
<a name="line-369"></a><span class='hs-comment'>-- When you don't need access to the index then 'traverse_' is more flexible in what it accepts.</span>
<a name="line-370"></a><span class='hs-comment'>--</span>
<a name="line-371"></a><span class='hs-comment'>-- @</span>
<a name="line-372"></a><span class='hs-comment'>-- 'traverse_' l = 'itraverse' '.' 'const'</span>
<a name="line-373"></a><span class='hs-comment'>-- @</span>
<a name="line-374"></a><span class='hs-definition'>itraverse_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</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-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'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-conid'>()</span>
<a name="line-375"></a><span class='hs-definition'>itraverse_</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getTraversed</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>ifoldMap</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-conid'>Traversed</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>void</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-376"></a><span class='hs-comment'>{-# INLINE itraverse_ #-}</span>
<a name="line-377"></a>
<a name="line-378"></a><a name="ifor_"></a><span class='hs-comment'>-- | Traverse elements with access to the index @i@, discarding the results (with the arguments flipped).</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'>-- 'ifor_' ≡ 'flip' 'itraverse_'</span>
<a name="line-382"></a><span class='hs-comment'>-- @</span>
<a name="line-383"></a><span class='hs-comment'>--</span>
<a name="line-384"></a><span class='hs-comment'>-- When you don't need access to the index then 'for_' is more flexible in what it accepts.</span>
<a name="line-385"></a><span class='hs-comment'>--</span>
<a name="line-386"></a><span class='hs-comment'>-- @</span>
<a name="line-387"></a><span class='hs-comment'>-- 'for_' a ≡ 'ifor_' a '.' 'const'</span>
<a name="line-388"></a><span class='hs-comment'>-- @</span>
<a name="line-389"></a><span class='hs-definition'>ifor_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</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-varid'>t</span> <span class='hs-varid'>a</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-conid'>()</span>
<a name="line-390"></a><span class='hs-definition'>ifor_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>itraverse_</span>
<a name="line-391"></a><span class='hs-comment'>{-# INLINE ifor_ #-}</span>
<a name="line-392"></a>
<a name="line-393"></a><a name="imapM_"></a><span class='hs-comment'>-- | Run monadic actions for each target of an 'IndexedFold' or 'Control.Lens.IndexedTraversal.IndexedTraversal' with access to the index,</span>
<a name="line-394"></a><span class='hs-comment'>-- discarding the results.</span>
<a name="line-395"></a><span class='hs-comment'>--</span>
<a name="line-396"></a><span class='hs-comment'>-- When you don't need access to the index then 'Control.Lens.Fold.mapMOf_' is more flexible in what it accepts.</span>
<a name="line-397"></a><span class='hs-comment'>--</span>
<a name="line-398"></a><span class='hs-comment'>-- @</span>
<a name="line-399"></a><span class='hs-comment'>-- 'mapM_' ≡ 'imapM' '.' 'const'</span>
<a name="line-400"></a><span class='hs-comment'>-- @</span>
<a name="line-401"></a><span class='hs-definition'>imapM_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</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'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-402"></a><span class='hs-definition'>imapM_</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getSequenced</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>ifoldMap</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-conid'>Sequenced</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>liftM</span> <span class='hs-varid'>skip</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-403"></a><span class='hs-comment'>{-# INLINE imapM_ #-}</span>
<a name="line-404"></a>
<a name="line-405"></a><a name="iforM_"></a><span class='hs-comment'>-- | Run monadic actions for each target of an 'IndexedFold' or 'Control.Lens.IndexedTraversal.IndexedTraversal' with access to the index,</span>
<a name="line-406"></a><span class='hs-comment'>-- discarding the results (with the arguments flipped).</span>
<a name="line-407"></a><span class='hs-comment'>--</span>
<a name="line-408"></a><span class='hs-comment'>-- @</span>
<a name="line-409"></a><span class='hs-comment'>-- 'iforM_' ≡ 'flip' 'imapM_'</span>
<a name="line-410"></a><span class='hs-comment'>-- @</span>
<a name="line-411"></a><span class='hs-comment'>--</span>
<a name="line-412"></a><span class='hs-comment'>-- When you don't need access to the index then 'Control.Lens.Fold.forMOf_' is more flexible in what it accepts.</span>
<a name="line-413"></a><span class='hs-comment'>--</span>
<a name="line-414"></a><span class='hs-comment'>-- @</span>
<a name="line-415"></a><span class='hs-comment'>-- 'Control.Lens.Fold.forMOf_' l a ≡ 'iforMOf' l a '.' 'const'</span>
<a name="line-416"></a><span class='hs-comment'>-- @</span>
<a name="line-417"></a><span class='hs-definition'>iforM_</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</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-conid'>()</span>
<a name="line-418"></a><span class='hs-definition'>iforM_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>imapM_</span>
<a name="line-419"></a><span class='hs-comment'>{-# INLINE iforM_ #-}</span>
<a name="line-420"></a>
<a name="line-421"></a><a name="iconcatMap"></a><span class='hs-comment'>-- | Concatenate the results of a function of the elements of an indexed container with access to the index.</span>
<a name="line-422"></a><span class='hs-comment'>--</span>
<a name="line-423"></a><span class='hs-comment'>-- When you don't need access to the index then 'concatMap' is more flexible in what it accepts.</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'>-- 'concatMap' ≡ 'iconcatMap' '.' 'const'</span>
<a name="line-427"></a><span class='hs-comment'>-- 'iconcatMap' ≡ 'ifoldMap'</span>
<a name="line-428"></a><span class='hs-comment'>-- @</span>
<a name="line-429"></a><span class='hs-definition'>iconcatMap</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</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-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</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-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-430"></a><span class='hs-definition'>iconcatMap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</span>
<a name="line-431"></a><span class='hs-comment'>{-# INLINE iconcatMap #-}</span>
<a name="line-432"></a>
<a name="line-433"></a><a name="ifind"></a><span class='hs-comment'>-- | Searches a container with a predicate that is also supplied the index, returning the left-most element of the structure</span>
<a name="line-434"></a><span class='hs-comment'>-- matching the predicate, or 'Nothing' if there is no such element.</span>
<a name="line-435"></a><span class='hs-comment'>--</span>
<a name="line-436"></a><span class='hs-comment'>-- When you don't need access to the index then 'find' is more flexible in what it accepts.</span>
<a name="line-437"></a><span class='hs-comment'>--</span>
<a name="line-438"></a><span class='hs-comment'>-- @</span>
<a name="line-439"></a><span class='hs-comment'>-- 'find' ≡ 'ifind' '.' 'const'</span>
<a name="line-440"></a><span class='hs-comment'>-- @</span>
<a name="line-441"></a><span class='hs-definition'>ifind</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</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-conid'>Bool</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'>Maybe</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-442"></a><span class='hs-definition'>ifind</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>p</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</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-keyword'>else</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-conid'>Nothing</span>
<a name="line-443"></a><span class='hs-comment'>{-# INLINE ifind #-}</span>
<a name="line-444"></a>
<a name="line-445"></a><a name="ifoldrM"></a><span class='hs-comment'>-- | Monadic fold right over the elements of a structure with an index.</span>
<a name="line-446"></a><span class='hs-comment'>--</span>
<a name="line-447"></a><span class='hs-comment'>-- When you don't need access to the index then 'foldrM' is more flexible in what it accepts.</span>
<a name="line-448"></a><span class='hs-comment'>--</span>
<a name="line-449"></a><span class='hs-comment'>-- @</span>
<a name="line-450"></a><span class='hs-comment'>-- 'foldrM' ≡ 'ifoldrM' '.' 'const'</span>
<a name="line-451"></a><span class='hs-comment'>-- @</span>
<a name="line-452"></a><span class='hs-definition'>ifoldrM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</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'>b</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'>b</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-varid'>m</span> <span class='hs-varid'>b</span>
<a name="line-453"></a><span class='hs-definition'>ifoldrM</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z0</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldl</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>return</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>z0</span>
<a name="line-454"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>k</span> <span class='hs-varid'>x</span> <span class='hs-varid'>z</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-varid'>z</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-varid'>k</span>
<a name="line-455"></a><span class='hs-comment'>{-# INLINE ifoldrM #-}</span>
<a name="line-456"></a>
<a name="line-457"></a><a name="ifoldlM"></a><span class='hs-comment'>-- | Monadic fold over the elements of a structure with an index, associating to the left.</span>
<a name="line-458"></a><span class='hs-comment'>--</span>
<a name="line-459"></a><span class='hs-comment'>-- When you don't need access to the index then 'foldlM' is more flexible in what it accepts.</span>
<a name="line-460"></a><span class='hs-comment'>--</span>
<a name="line-461"></a><span class='hs-comment'>-- @</span>
<a name="line-462"></a><span class='hs-comment'>-- 'foldlM' ≡ 'ifoldlM' '.' 'const'</span>
<a name="line-463"></a><span class='hs-comment'>-- @</span>
<a name="line-464"></a><span class='hs-definition'>ifoldlM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</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'>b</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'>b</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-varid'>m</span> <span class='hs-varid'>b</span>
<a name="line-465"></a><span class='hs-definition'>ifoldlM</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z0</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldr</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>return</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>z0</span>
<a name="line-466"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>x</span> <span class='hs-varid'>k</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>z</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-varid'>k</span>
<a name="line-467"></a><span class='hs-comment'>{-# INLINE ifoldlM #-}</span>
<a name="line-468"></a>
<a name="line-469"></a><a name="itoList"></a><span class='hs-comment'>-- | Extract the key-value pairs from a structure.</span>
<a name="line-470"></a><span class='hs-comment'>--</span>
<a name="line-471"></a><span class='hs-comment'>-- When you don't need access to the indices in the result, then 'Data.Foldable.toList' is more flexible in what it accepts.</span>
<a name="line-472"></a><span class='hs-comment'>--</span>
<a name="line-473"></a><span class='hs-comment'>-- @</span>
<a name="line-474"></a><span class='hs-comment'>-- 'Data.Foldable.toList' ≡ 'Data.List.map' 'snd' '.' 'itoList'</span>
<a name="line-475"></a><span class='hs-comment'>-- @</span>
<a name="line-476"></a><span class='hs-definition'>itoList</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</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-keyglyph'>[</span><span class='hs-layout'>(</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-keyglyph'>]</span>
<a name="line-477"></a><span class='hs-definition'>itoList</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conid'>[]</span>
<a name="line-478"></a><span class='hs-comment'>{-# INLINE itoList #-}</span>
<a name="line-479"></a>
<a name="line-480"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-481"></a><span class='hs-comment'>-- TraversableWithIndex</span>
<a name="line-482"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-483"></a>
<a name="line-484"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>-- | A 'Traversable' with an additional index.</span>
<a name="line-485"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>--</span>
<a name="line-486"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>-- An instance must satisfy a (modified) form of the 'Traversable' laws:</span>
<a name="line-487"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>--</span>
<a name="line-488"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>-- @</span>
<a name="line-489"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>-- 'itraverse' ('const' 'Identity') ≡ 'Identity'</span>
<a name="line-490"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>-- 'fmap' ('itraverse' f) '.' 'itraverse' g ≡ 'Data.Functor.Compose.getCompose' '.' 'itraverse' (\\i -&gt; 'Data.Functor.Compose.Compose' '.' 'fmap' (f i) '.' g i)</span>
<a name="line-491"></a><a name="TraversableWithIndex"></a><span class='hs-comment'>-- @</span>
<a name="line-492"></a><a name="TraversableWithIndex"></a><span class='hs-keyword'>class</span> <span class='hs-layout'>(</span><span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>where</span>
<a name="line-493"></a>  <span class='hs-comment'>-- | Traverse an indexed container.</span>
<a name="line-494"></a>  <span class='hs-comment'>--</span>
<a name="line-495"></a>  <span class='hs-comment'>-- @</span>
<a name="line-496"></a>  <span class='hs-comment'>-- 'itraverse' ≡ 'itraverseOf' 'itraversed'</span>
<a name="line-497"></a>  <span class='hs-comment'>-- @</span>
<a name="line-498"></a>  <span class='hs-varid'>itraverse</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-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'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-499"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-500"></a>  <span class='hs-keyword'>default</span> <span class='hs-varid'>itraverse</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-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'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-501"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traversed</span> <span class='hs-varop'>.#</span> <span class='hs-conid'>Indexed</span>
<a name="line-502"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-503"></a><span class='hs-cpp'>#endif</span>
<a name="line-504"></a>
<a name="line-505"></a>  <span class='hs-comment'>-- | The 'IndexedTraversal' of a 'TraversableWithIndex' container.</span>
<a name="line-506"></a>  <span class='hs-varid'>itraversed</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-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</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-507"></a>  <span class='hs-varid'>itraversed</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'>itraverse</span> <span class='hs-varop'>.</span> <span class='hs-varid'>indexed</span><span class='hs-layout'>)</span>
<a name="line-508"></a>  <span class='hs-comment'>{-# INLINE itraversed #-}</span>
<a name="line-509"></a>
<a name="line-510"></a><a name="ifor"></a><span class='hs-comment'>-- | Traverse with an index (and the arguments flipped).</span>
<a name="line-511"></a><span class='hs-comment'>--</span>
<a name="line-512"></a><span class='hs-comment'>-- @</span>
<a name="line-513"></a><span class='hs-comment'>-- 'for' a ≡ 'ifor' a '.' 'const'</span>
<a name="line-514"></a><span class='hs-comment'>-- 'ifor' ≡ 'flip' 'itraverse'</span>
<a name="line-515"></a><span class='hs-comment'>-- @</span>
<a name="line-516"></a><span class='hs-definition'>ifor</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</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-varid'>t</span> <span class='hs-varid'>a</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-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-517"></a><span class='hs-definition'>ifor</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>itraverse</span>
<a name="line-518"></a><span class='hs-comment'>{-# INLINE ifor #-}</span>
<a name="line-519"></a>
<a name="line-520"></a><a name="imapM"></a><span class='hs-comment'>-- | Map each element of a structure to a monadic action,</span>
<a name="line-521"></a><span class='hs-comment'>-- evaluate these actions from left to right, and collect the results, with access</span>
<a name="line-522"></a><span class='hs-comment'>-- the index.</span>
<a name="line-523"></a><span class='hs-comment'>--</span>
<a name="line-524"></a><span class='hs-comment'>-- When you don't need access to the index 'mapM' is more liberal in what it can accept.</span>
<a name="line-525"></a><span class='hs-comment'>--</span>
<a name="line-526"></a><span class='hs-comment'>-- @</span>
<a name="line-527"></a><span class='hs-comment'>-- 'mapM' ≡ 'imapM' '.' 'const'</span>
<a name="line-528"></a><span class='hs-comment'>-- @</span>
<a name="line-529"></a><span class='hs-definition'>imapM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</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'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-530"></a><span class='hs-definition'>imapM</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>itraverse</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-conid'>WrapMonad</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-531"></a><span class='hs-comment'>{-# INLINE imapM #-}</span>
<a name="line-532"></a>
<a name="line-533"></a><a name="iforM"></a><span class='hs-comment'>-- | Map each element of a structure to a monadic action,</span>
<a name="line-534"></a><span class='hs-comment'>-- evaluate these actions from left to right, and collect the results, with access</span>
<a name="line-535"></a><span class='hs-comment'>-- its position (and the arguments flipped).</span>
<a name="line-536"></a><span class='hs-comment'>--</span>
<a name="line-537"></a><span class='hs-comment'>-- @</span>
<a name="line-538"></a><span class='hs-comment'>-- 'forM' a ≡ 'iforM' a '.' 'const'</span>
<a name="line-539"></a><span class='hs-comment'>-- 'iforM' ≡ 'flip' 'imapM'</span>
<a name="line-540"></a><span class='hs-comment'>-- @</span>
<a name="line-541"></a><span class='hs-definition'>iforM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</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-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-542"></a><span class='hs-definition'>iforM</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>imapM</span>
<a name="line-543"></a><span class='hs-comment'>{-# INLINE iforM #-}</span>
<a name="line-544"></a>
<a name="line-545"></a><a name="imapAccumR"></a><span class='hs-comment'>-- | Generalizes 'Data.Traversable.mapAccumR' to add access to the index.</span>
<a name="line-546"></a><span class='hs-comment'>--</span>
<a name="line-547"></a><span class='hs-comment'>-- 'imapAccumROf' accumulates state from right to left.</span>
<a name="line-548"></a><span class='hs-comment'>--</span>
<a name="line-549"></a><span class='hs-comment'>-- @</span>
<a name="line-550"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.mapAccumR' ≡ 'imapAccumR' '.' 'const'</span>
<a name="line-551"></a><span class='hs-comment'>-- @</span>
<a name="line-552"></a><span class='hs-definition'>imapAccumR</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</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'>s</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'>s</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'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-553"></a><span class='hs-definition'>imapAccumR</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s0</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>swap</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lazy</span><span class='hs-varop'>.</span><span class='hs-varid'>runState</span> <span class='hs-layout'>(</span><span class='hs-varid'>forwards</span> <span class='hs-layout'>(</span><span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Backwards</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lazy</span><span class='hs-varop'>.</span><span class='hs-varid'>state</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>s</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'>s</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</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-varid'>s0</span><span class='hs-layout'>)</span>
<a name="line-554"></a><span class='hs-comment'>{-# INLINE imapAccumR #-}</span>
<a name="line-555"></a>
<a name="line-556"></a><a name="imapAccumL"></a><span class='hs-comment'>-- | Generalizes 'Data.Traversable.mapAccumL' to add access to the index.</span>
<a name="line-557"></a><span class='hs-comment'>--</span>
<a name="line-558"></a><span class='hs-comment'>-- 'imapAccumLOf' accumulates state from left to right.</span>
<a name="line-559"></a><span class='hs-comment'>--</span>
<a name="line-560"></a><span class='hs-comment'>-- @</span>
<a name="line-561"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.mapAccumLOf' ≡ 'imapAccumL' '.' 'const'</span>
<a name="line-562"></a><span class='hs-comment'>-- @</span>
<a name="line-563"></a><span class='hs-definition'>imapAccumL</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</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'>s</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'>s</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'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-564"></a><span class='hs-definition'>imapAccumL</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s0</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>swap</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lazy</span><span class='hs-varop'>.</span><span class='hs-varid'>runState</span> <span class='hs-layout'>(</span><span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Lazy</span><span class='hs-varop'>.</span><span class='hs-varid'>state</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>s</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'>s</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s0</span><span class='hs-layout'>)</span>
<a name="line-565"></a><span class='hs-comment'>{-# INLINE imapAccumL #-}</span>
<a name="line-566"></a>
<a name="line-567"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-568"></a><span class='hs-comment'>-- Instances</span>
<a name="line-569"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-570"></a>
<a name="line-571"></a><a name="instance%20FunctorWithIndex%20i%20(Backwards%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-572"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span>  <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Backwards</span> <span class='hs-varop'>.</span> <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>forwards</span>
<a name="line-573"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-574"></a>
<a name="line-575"></a><a name="instance%20FoldableWithIndex%20i%20(Backwards%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-576"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>forwards</span>
<a name="line-577"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-578"></a>
<a name="line-579"></a><a name="instance%20TraversableWithIndex%20i%20(Backwards%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-580"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-conid'>Backwards</span> <span class='hs-varop'>.</span> <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>forwards</span>
<a name="line-581"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-582"></a>
<a name="line-583"></a><a name="instance%20FunctorWithIndex%20i%20(Reverse%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Reverse</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-584"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Reverse</span> <span class='hs-varop'>.</span> <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getReverse</span>
<a name="line-585"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-586"></a>
<a name="line-587"></a><a name="instance%20FoldableWithIndex%20i%20(Reverse%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Reverse</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-588"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getDual</span> <span class='hs-varop'>.</span> <span class='hs-varid'>ifoldMap</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-conid'>Dual</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getReverse</span>
<a name="line-589"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-590"></a>
<a name="line-591"></a><a name="instance%20TraversableWithIndex%20i%20(Reverse%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Reverse</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-592"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-conid'>Reverse</span> <span class='hs-varop'>.</span> <span class='hs-varid'>forwards</span> <span class='hs-varop'>.</span> <span class='hs-varid'>itraverse</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-conid'>Backwards</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getReverse</span>
<a name="line-593"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-594"></a>
<a name="line-595"></a><a name="instance%20FunctorWithIndex%20()%20Identity"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>()</span> <span class='hs-conid'>Identity</span> <span class='hs-keyword'>where</span>
<a name="line-596"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Identity</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conid'>()</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-597"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-598"></a>
<a name="line-599"></a><a name="instance%20FoldableWithIndex%20()%20Identity"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>()</span> <span class='hs-conid'>Identity</span> <span class='hs-keyword'>where</span>
<a name="line-600"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-conid'>()</span> <span class='hs-varid'>a</span>
<a name="line-601"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-602"></a>
<a name="line-603"></a><a name="instance%20TraversableWithIndex%20()%20Identity"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>()</span> <span class='hs-conid'>Identity</span> <span class='hs-keyword'>where</span>
<a name="line-604"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Identity</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-conid'>()</span> <span class='hs-varid'>a</span>
<a name="line-605"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-606"></a>
<a name="line-607"></a><a name="instance%20FunctorWithIndex%20k%20((,)%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-608"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</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-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-609"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-610"></a>
<a name="line-611"></a><a name="instance%20FoldableWithIndex%20k%20((,)%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-612"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>uncurry</span>
<a name="line-613"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-614"></a>
<a name="line-615"></a><a name="instance%20TraversableWithIndex%20k%20((,)%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-616"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</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-keyglyph'>=</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span>
<a name="line-617"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-618"></a>
<a name="line-619"></a><a name="instance%20FunctorWithIndex%20Int%20%5b%5d"></a><span class='hs-comment'>-- | The position in the list is available as the index.</span>
<a name="line-620"></a><a name="instance%20FunctorWithIndex%20Int%20%5b%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>[]</span>
<a name="line-621"></a><a name="instance%20FoldableWithIndex%20Int%20%5b%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>[]</span>
<a name="line-622"></a><a name="instance%20TraversableWithIndex%20Int%20%5b%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>[]</span> <span class='hs-keyword'>where</span>
<a name="line-623"></a>  <span class='hs-varid'>itraversed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traversed</span>
<a name="line-624"></a>  <span class='hs-comment'>{-# INLINE itraversed #-}</span>
<a name="line-625"></a>
<a name="line-626"></a><a name="instance%20FunctorWithIndex%20Int%20NonEmpty"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>NonEmpty</span>
<a name="line-627"></a><a name="instance%20FoldableWithIndex%20Int%20NonEmpty"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>NonEmpty</span>
<a name="line-628"></a><a name="instance%20TraversableWithIndex%20Int%20NonEmpty"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>NonEmpty</span> <span class='hs-keyword'>where</span>
<a name="line-629"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>itraverseOf</span> <span class='hs-varid'>traversed</span>
<a name="line-630"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-631"></a>
<a name="line-632"></a><a name="instance%20FunctorWithIndex%20()%20Maybe"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>()</span> <span class='hs-conid'>Maybe</span> <span class='hs-keyword'>where</span>
<a name="line-633"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span>
<a name="line-634"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-635"></a><a name="instance%20FoldableWithIndex%20()%20Maybe"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>()</span> <span class='hs-conid'>Maybe</span> <span class='hs-keyword'>where</span>
<a name="line-636"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span>
<a name="line-637"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-638"></a><a name="instance%20TraversableWithIndex%20()%20Maybe"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>()</span> <span class='hs-conid'>Maybe</span> <span class='hs-keyword'>where</span>
<a name="line-639"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span>
<a name="line-640"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-641"></a>
<a name="line-642"></a><a name="instance%20FunctorWithIndex%20Int%20Seq"></a><span class='hs-comment'>-- | The position in the 'Seq' is available as the index.</span>
<a name="line-643"></a><a name="instance%20FunctorWithIndex%20Int%20Seq"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Seq</span>
<a name="line-644"></a><a name="instance%20FoldableWithIndex%20Int%20Seq"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Seq</span>
<a name="line-645"></a><a name="instance%20TraversableWithIndex%20Int%20Seq"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Seq</span> <span class='hs-keyword'>where</span>
<a name="line-646"></a>  <span class='hs-varid'>itraversed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traversed</span>
<a name="line-647"></a>  <span class='hs-comment'>{-# INLINE itraversed #-}</span>
<a name="line-648"></a>
<a name="line-649"></a><a name="instance%20FunctorWithIndex%20Int%20Vector"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Vector</span> <span class='hs-keyword'>where</span>
<a name="line-650"></a>  <span class='hs-varid'>imap</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>imap</span>
<a name="line-651"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-652"></a><a name="instance%20FoldableWithIndex%20Int%20Vector"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Vector</span> <span class='hs-keyword'>where</span>
<a name="line-653"></a>  <span class='hs-varid'>ifoldr</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>ifoldr</span>
<a name="line-654"></a>  <span class='hs-comment'>{-# INLINE ifoldr #-}</span>
<a name="line-655"></a>  <span class='hs-varid'>ifoldl</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>ifoldl</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span>
<a name="line-656"></a>  <span class='hs-comment'>{-# INLINE ifoldl #-}</span>
<a name="line-657"></a>  <span class='hs-varid'>ifoldr'</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>ifoldr'</span>
<a name="line-658"></a>  <span class='hs-comment'>{-# INLINE ifoldr' #-}</span>
<a name="line-659"></a>  <span class='hs-varid'>ifoldl'</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>ifoldl'</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span>
<a name="line-660"></a>  <span class='hs-comment'>{-# INLINE ifoldl' #-}</span>
<a name="line-661"></a><a name="instance%20TraversableWithIndex%20Int%20Vector"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Vector</span> <span class='hs-keyword'>where</span>
<a name="line-662"></a>  <span class='hs-varid'>itraversed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traversed</span>
<a name="line-663"></a>  <span class='hs-comment'>{-# INLINE itraversed #-}</span>
<a name="line-664"></a>
<a name="line-665"></a><a name="instance%20FunctorWithIndex%20Int%20IntMap"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>IntMap</span>
<a name="line-666"></a><a name="instance%20FoldableWithIndex%20Int%20IntMap"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>IntMap</span>
<a name="line-667"></a><a name="instance%20TraversableWithIndex%20Int%20IntMap"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>IntMap</span> <span class='hs-keyword'>where</span>
<a name="line-668"></a><span class='hs-cpp'>#if MIN_VERSION_containers(0,5,0)</span>
<a name="line-669"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>traverseWithKey</span>
<a name="line-670"></a><span class='hs-cpp'>#else</span>
<a name="line-671"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sequenceA</span> <span class='hs-varop'>.</span> <span class='hs-conid'>IntMap</span><span class='hs-varop'>.</span><span class='hs-varid'>mapWithKey</span> <span class='hs-varid'>f</span>
<a name="line-672"></a><span class='hs-cpp'>#endif</span>
<a name="line-673"></a>  <span class='hs-comment'>{-# INLINE [0] itraverse #-}</span>
<a name="line-674"></a>
<a name="line-675"></a><span class='hs-comment'>{-# RULES
<a name="line-676"></a>"itraversed -&gt; mapIntMap"    itraversed = sets IntMap.map               :: ASetter (IntMap a) (IntMap b) a b;
<a name="line-677"></a>"itraversed -&gt; imapIntMap"   itraversed = isets IntMap.mapWithKey       :: AnIndexedSetter Int (IntMap a) (IntMap b) a b;
<a name="line-678"></a>"itraversed -&gt; foldrIntMap"  itraversed = foldring IntMap.foldr         :: Getting (Endo r) (IntMap a) a;
<a name="line-679"></a>"itraversed -&gt; ifoldrIntMap" itraversed = ifoldring IntMap.foldrWithKey :: IndexedGetting Int (Endo r) (IntMap a) a;
<a name="line-680"></a> #-}</span>
<a name="line-681"></a>
<a name="line-682"></a><a name="instance%20FunctorWithIndex%20k%20(Map%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</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>
<a name="line-683"></a><a name="instance%20FoldableWithIndex%20k%20(Map%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</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>
<a name="line-684"></a><a name="instance%20TraversableWithIndex%20k%20(Map%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</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-685"></a><span class='hs-cpp'>#if MIN_VERSION_containers(0,5,0)</span>
<a name="line-686"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>traverseWithKey</span>
<a name="line-687"></a><span class='hs-cpp'>#else</span>
<a name="line-688"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sequenceA</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>mapWithKey</span> <span class='hs-varid'>f</span>
<a name="line-689"></a><span class='hs-cpp'>#endif</span>
<a name="line-690"></a>  <span class='hs-comment'>{-# INLINE [0] itraverse #-}</span>
<a name="line-691"></a>
<a name="line-692"></a><span class='hs-comment'>{-# RULES
<a name="line-693"></a>"itraversed -&gt; mapMap"    itraversed = sets Map.map               :: ASetter (Map k a) (Map k b) a b;
<a name="line-694"></a>"itraversed -&gt; imapMap"   itraversed = isets Map.mapWithKey       :: AnIndexedSetter k (Map k a) (Map k b) a b;
<a name="line-695"></a>"itraversed -&gt; foldrMap"  itraversed = foldring Map.foldr         :: Getting (Endo r) (Map k a) a;
<a name="line-696"></a>"itraversed -&gt; ifoldrMap" itraversed = ifoldring Map.foldrWithKey :: IndexedGetting k (Endo r) (Map k a) a;
<a name="line-697"></a> #-}</span>
<a name="line-698"></a>
<a name="line-699"></a><a name="instance%20FunctorWithIndex%20k%20(HashMap%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span> <span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>Hashable</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>HashMap</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span>
<a name="line-700"></a><a name="instance%20FoldableWithIndex%20k%20(HashMap%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span> <span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>Hashable</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>HashMap</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span>
<a name="line-701"></a><a name="instance%20TraversableWithIndex%20k%20(HashMap%20k)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span> <span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>Hashable</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>HashMap</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-702"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>HashMap</span><span class='hs-varop'>.</span><span class='hs-varid'>traverseWithKey</span>
<a name="line-703"></a>  <span class='hs-comment'>{-# INLINE [0] itraverse #-}</span>
<a name="line-704"></a>
<a name="line-705"></a><span class='hs-comment'>{-# RULES
<a name="line-706"></a>"itraversed -&gt; mapHashMap"    itraversed = sets HashMap.map               :: ASetter (HashMap k a) (HashMap k b) a b;
<a name="line-707"></a>"itraversed -&gt; imapHashMap"   itraversed = isets HashMap.mapWithKey       :: AnIndexedSetter k (HashMap k a) (HashMap k b) a b;
<a name="line-708"></a>"itraversed -&gt; foldrHashMap"  itraversed = foldring HashMap.foldr         :: Getting (Endo r) (HashMap k a) a;
<a name="line-709"></a>"itraversed -&gt; ifoldrHashMap" itraversed = ifoldring HashMap.foldrWithKey :: IndexedGetting k (Endo r) (HashMap k a) a;
<a name="line-710"></a> #-}</span>
<a name="line-711"></a>
<a name="line-712"></a><a name="instance%20FunctorWithIndex%20r%20((-%3e)%20r)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-713"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-714"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-715"></a>
<a name="line-716"></a><a name="instance%20FunctorWithIndex%20i%20(Level%20i)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Level</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-717"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span> <span class='hs-keyword'>where</span>
<a name="line-718"></a>    <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-conid'>Two</span> <span class='hs-varid'>n</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Two</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>go</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>go</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-719"></a>    <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-conid'>One</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>   <span class='hs-keyglyph'>=</span> <span class='hs-conid'>One</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-720"></a>    <span class='hs-varid'>go</span> <span class='hs-conid'>Zero</span>        <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Zero</span>
<a name="line-721"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-722"></a>
<a name="line-723"></a><a name="instance%20FoldableWithIndex%20i%20(Level%20i)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Level</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-724"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span> <span class='hs-keyword'>where</span>
<a name="line-725"></a>    <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-conid'>Two</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span> <span class='hs-varid'>l</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>go</span> <span class='hs-varid'>r</span>
<a name="line-726"></a>    <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-conid'>One</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</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'>a</span>
<a name="line-727"></a>    <span class='hs-varid'>go</span> <span class='hs-conid'>Zero</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mempty</span>
<a name="line-728"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-729"></a>
<a name="line-730"></a><a name="instance%20TraversableWithIndex%20i%20(Level%20i)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Level</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-731"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span> <span class='hs-keyword'>where</span>
<a name="line-732"></a>    <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-conid'>Two</span> <span class='hs-varid'>n</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Two</span> <span class='hs-varid'>n</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>go</span> <span class='hs-varid'>l</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>go</span> <span class='hs-varid'>r</span>
<a name="line-733"></a>    <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-conid'>One</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>   <span class='hs-keyglyph'>=</span> <span class='hs-conid'>One</span> <span class='hs-varid'>i</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span>
<a name="line-734"></a>    <span class='hs-varid'>go</span> <span class='hs-conid'>Zero</span>        <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span> <span class='hs-conid'>Zero</span>
<a name="line-735"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-736"></a>
<a name="line-737"></a><a name="instance%20FunctorWithIndex%20i%20(Magma%20i%20t%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-738"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaAp</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>    <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MagmaAp</span> <span class='hs-layout'>(</span><span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-739"></a>  <span class='hs-varid'>imap</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaPure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>    <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MagmaPure</span> <span class='hs-varid'>x</span>
<a name="line-740"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaFmap</span> <span class='hs-varid'>xy</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MagmaFmap</span> <span class='hs-varid'>xy</span> <span class='hs-layout'>(</span><span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-741"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>      <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-742"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-743"></a>
<a name="line-744"></a><a name="instance%20FoldableWithIndex%20i%20(Magma%20i%20t%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-745"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaAp</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>   <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span>
<a name="line-746"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>MagmaPure</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mempty</span>
<a name="line-747"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaFmap</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span>
<a name="line-748"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</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'>a</span>
<a name="line-749"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-750"></a>
<a name="line-751"></a><a name="instance%20TraversableWithIndex%20i%20(Magma%20i%20t%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-752"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaAp</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>    <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MagmaAp</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span>
<a name="line-753"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaPure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaPure</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-754"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>MagmaFmap</span> <span class='hs-varid'>xy</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MagmaFmap</span> <span class='hs-varid'>xy</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span>
<a name="line-755"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>      <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Magma</span> <span class='hs-varid'>i</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span>
<a name="line-756"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-757"></a>
<a name="line-758"></a><a name="instance%20FunctorWithIndex%20%5bi%5d%20(Free%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</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-conid'>Free</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-759"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-varop'>$</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span>
<a name="line-760"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Free</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Free</span> <span class='hs-varop'>$</span> <span class='hs-varid'>imap</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'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-761"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-762"></a>
<a name="line-763"></a><a name="instance%20FoldableWithIndex%20%5bi%5d%20(Free%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</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-conid'>Free</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-764"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span>
<a name="line-765"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Free</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</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'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-766"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-767"></a>
<a name="line-768"></a><a name="instance%20TraversableWithIndex%20%5bi%5d%20(Free%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</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-conid'>Free</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-769"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pure</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span>
<a name="line-770"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Free</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Free</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>itraverse</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'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-771"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-772"></a>
<a name="line-773"></a><a name="instance%20FunctorWithIndex%20i%20(Array%20i)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ix</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-774"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>arr</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>listArray</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>bounds</span> <span class='hs-varid'>arr</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>assocs</span> <span class='hs-varid'>arr</span>
<a name="line-775"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-776"></a>
<a name="line-777"></a><a name="instance%20FoldableWithIndex%20i%20(Array%20i)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ix</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-778"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>assocs</span>
<a name="line-779"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-780"></a>
<a name="line-781"></a><a name="instance%20TraversableWithIndex%20i%20(Array%20i)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ix</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-782"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>arr</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>listArray</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>bounds</span> <span class='hs-varid'>arr</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Array</span><span class='hs-varop'>.</span><span class='hs-varid'>assocs</span> <span class='hs-varid'>arr</span><span class='hs-layout'>)</span>
<a name="line-783"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-784"></a>
<a name="line-785"></a><a name="instance%20FunctorWithIndex%20%5bi%5d%20(Cofree%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</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-conid'>Cofree</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-786"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:&lt;</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:&lt;</span> <span class='hs-varid'>imap</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'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span>
<a name="line-787"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-788"></a>
<a name="line-789"></a><a name="instance%20FoldableWithIndex%20%5bi%5d%20(Cofree%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</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-conid'>Cofree</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-790"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:&lt;</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>ifoldMap</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'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span>
<a name="line-791"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-792"></a>
<a name="line-793"></a><a name="instance%20TraversableWithIndex%20%5bi%5d%20(Cofree%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</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-conid'>Cofree</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-794"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:&lt;</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conop'>:&lt;</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>itraverse</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'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span>
<a name="line-795"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-796"></a>
<a name="line-797"></a><a name="instance%20FunctorWithIndex%20(i,%20j)%20(Compose%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>j</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-798"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>fg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Compose</span> <span class='hs-varop'>$</span> <span class='hs-varid'>imap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>k</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>fg</span>
<a name="line-799"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-800"></a>
<a name="line-801"></a><a name="instance%20FoldableWithIndex%20(i,%20j)%20(Compose%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>j</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-802"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>fg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>k</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>fg</span>
<a name="line-803"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-804"></a>
<a name="line-805"></a><a name="instance%20TraversableWithIndex%20(i,%20j)%20(Compose%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>j</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-806"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>fg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Compose</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>k</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>fg</span>
<a name="line-807"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-808"></a>
<a name="line-809"></a><a name="instance%20FunctorWithIndex%20i%20(IdentityT%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-810"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IdentityT</span> <span class='hs-varop'>$</span> <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span>
<a name="line-811"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-812"></a>
<a name="line-813"></a><a name="instance%20FoldableWithIndex%20i%20(IdentityT%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-814"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span>
<a name="line-815"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-816"></a>
<a name="line-817"></a><a name="instance%20TraversableWithIndex%20i%20(IdentityT%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-818"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IdentityT</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m</span>
<a name="line-819"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-820"></a>
<a name="line-821"></a><a name="instance%20FunctorWithIndex%20(Either%20i%20j)%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>j</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>i</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-822"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</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'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Left</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-varid'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Right</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-823"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-824"></a>
<a name="line-825"></a><a name="instance%20FoldableWithIndex%20(Either%20i%20j)%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>j</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>i</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-826"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</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-varid'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Left</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Right</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span>
<a name="line-827"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-828"></a>
<a name="line-829"></a><a name="instance%20TraversableWithIndex%20(Either%20i%20j)%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>j</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>i</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-830"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</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'>Pair</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Left</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Right</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span>
<a name="line-831"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-832"></a>
<a name="line-833"></a><a name="instance%20FunctorWithIndex%20(e,%20i)%20(ReaderT%20e%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ReaderT</span> <span class='hs-varid'>e</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-834"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>ReaderT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ReaderT</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>k</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span>
<a name="line-835"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-836"></a>
<a name="line-837"></a><a name="instance%20FunctorWithIndex%20(s,%20i)%20(TracedT%20s%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>TracedT</span> <span class='hs-varid'>s</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-838"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>TracedT</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>TracedT</span> <span class='hs-varop'>$</span> <span class='hs-varid'>imap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>k'</span> <span class='hs-varid'>g</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>k'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>w</span>
<a name="line-839"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-840"></a>
<a name="line-841"></a><a name="instance%20FunctorWithIndex%20%5bInt%5d%20Tree"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FunctorWithIndex</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-conid'>Tree</span> <span class='hs-keyword'>where</span>
<a name="line-842"></a>  <span class='hs-varid'>imap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Node</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Node</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>imap</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'>imap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span>
<a name="line-843"></a>  <span class='hs-comment'>{-# INLINE imap #-}</span>
<a name="line-844"></a>
<a name="line-845"></a><a name="instance%20FoldableWithIndex%20%5bInt%5d%20Tree"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-conid'>Tree</span> <span class='hs-keyword'>where</span>
<a name="line-846"></a>  <span class='hs-varid'>ifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Node</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>ifoldMap</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'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span>
<a name="line-847"></a>  <span class='hs-comment'>{-# INLINE ifoldMap #-}</span>
<a name="line-848"></a>
<a name="line-849"></a><a name="instance%20TraversableWithIndex%20%5bInt%5d%20Tree"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-conid'>Tree</span> <span class='hs-keyword'>where</span>
<a name="line-850"></a>  <span class='hs-varid'>itraverse</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Node</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Node</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>itraverse</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'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyword'>as</span>
<a name="line-851"></a>  <span class='hs-comment'>{-# INLINE itraverse #-}</span>
<a name="line-852"></a>
<a name="line-853"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-854"></a><span class='hs-comment'>-- Misc.</span>
<a name="line-855"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-856"></a>
<a name="line-857"></a><a name="skip"></a><span class='hs-definition'>skip</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>()</span>
<a name="line-858"></a><span class='hs-definition'>skip</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>()</span>
<a name="line-859"></a><span class='hs-comment'>{-# INLINE skip #-}</span>
<a name="line-860"></a>
<a name="line-861"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-862"></a><span class='hs-comment'>-- Indexed Folds with Reified Monoid</span>
<a name="line-863"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-864"></a>
<a name="line-865"></a><a name="ifoldMapBy"></a><span class='hs-definition'>ifoldMapBy</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>FoldableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</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'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-866"></a><span class='hs-definition'>ifoldMapBy</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reifyMonoid</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-layout'>(</span><span class='hs-varid'>ifoldMap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>ReflectedMonoid</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-867"></a>
<a name="line-868"></a><a name="ifoldMapByOf"></a><span class='hs-definition'>ifoldMapByOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IndexedFold</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</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'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>r</span>
<a name="line-869"></a><span class='hs-definition'>ifoldMapByOf</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reifyMonoid</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span> <span class='hs-layout'>(</span><span class='hs-varid'>ifoldMapOf</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>ReflectedMonoid</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-870"></a>
<a name="line-871"></a><a name="itraverseBy"></a><span class='hs-definition'>itraverseBy</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TraversableWithIndex</span> <span class='hs-varid'>i</span> <span class='hs-varid'>t</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'>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'>t</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-872"></a><span class='hs-definition'>itraverseBy</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'>itraverse</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>ReflectedApplicative</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-873"></a>
<a name="line-874"></a><a name="itraverseByOf"></a><span class='hs-definition'>itraverseByOf</span> <span class='hs-keyglyph'>::</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> <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'>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-875"></a><span class='hs-definition'>itraverseByOf</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'>itraverseOf</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>ReflectedApplicative</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
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