libghc-lens-doc 4.13-1 / usr / share / doc / libghc-lens-doc / html / src / Control-Lens-Setter.html

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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/Setter.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 Rank2Types #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-6"></a>
<a name="line-7"></a><span class='hs-cpp'>#ifndef MIN_VERSION_profunctors</span>
<a name="line-8"></a><span class='hs-cpp'>#define MIN_VERSION_profunctors(x,y,z) 1</span>
<a name="line-9"></a><span class='hs-cpp'>#endif</span>
<a name="line-10"></a>
<a name="line-11"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &lt; 708 || !(MIN_VERSION_profunctors(4,4,0))</span>
<a name="line-12"></a><span class='hs-comment'>{-# LANGUAGE Trustworthy #-}</span>
<a name="line-13"></a><span class='hs-cpp'>#endif</span>
<a name="line-14"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-15"></a><span class='hs-comment'>-- |</span>
<a name="line-16"></a><span class='hs-comment'>-- Module      :  Control.Lens.Setter</span>
<a name="line-17"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-15 Edward Kmett</span>
<a name="line-18"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-19"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-20"></a><span class='hs-comment'>-- Stability   :  provisional</span>
<a name="line-21"></a><span class='hs-comment'>-- Portability :  Rank2Types</span>
<a name="line-22"></a><span class='hs-comment'>--</span>
<a name="line-23"></a><span class='hs-comment'>-- A @'Setter' s t a b@ is a generalization of 'fmap' from 'Functor'. It allows you to map into a</span>
<a name="line-24"></a><span class='hs-comment'>-- structure and change out the contents, but it isn't strong enough to allow you to</span>
<a name="line-25"></a><span class='hs-comment'>-- enumerate those contents. Starting with @'fmap' :: 'Functor' f =&gt; (a -&gt; b) -&gt; f a -&gt; f b@</span>
<a name="line-26"></a><span class='hs-comment'>-- we monomorphize the type to obtain @(a -&gt; b) -&gt; s -&gt; t@ and then decorate it with 'Data.Functor.Identity.Identity' to obtain:</span>
<a name="line-27"></a><span class='hs-comment'>--</span>
<a name="line-28"></a><span class='hs-comment'>-- @</span>
<a name="line-29"></a><span class='hs-comment'>-- type 'Setter' s t a b = (a -&gt; 'Data.Functor.Identity.Identity' b) -&gt; s -&gt; 'Data.Functor.Identity.Identity' t</span>
<a name="line-30"></a><span class='hs-comment'>-- @</span>
<a name="line-31"></a><span class='hs-comment'>--</span>
<a name="line-32"></a><span class='hs-comment'>-- Every 'Traversal' is a valid 'Setter', since 'Data.Functor.Identity.Identity' is 'Applicative'.</span>
<a name="line-33"></a><span class='hs-comment'>--</span>
<a name="line-34"></a><span class='hs-comment'>-- Everything you can do with a 'Functor', you can do with a 'Setter'. There</span>
<a name="line-35"></a><span class='hs-comment'>-- are combinators that generalize 'fmap' and ('&lt;$').</span>
<a name="line-36"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-37"></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'>Setter</span>
<a name="line-38"></a>  <span class='hs-layout'>(</span>
<a name="line-39"></a>  <span class='hs-comment'>-- * Setters</span>
<a name="line-40"></a>    <span class='hs-conid'>Setter</span><span class='hs-layout'>,</span> <span class='hs-conid'>Setter'</span>
<a name="line-41"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>IndexedSetter</span><span class='hs-layout'>,</span> <span class='hs-conid'>IndexedSetter'</span>
<a name="line-42"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>ASetter</span><span class='hs-layout'>,</span> <span class='hs-conid'>ASetter'</span>
<a name="line-43"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedSetter</span><span class='hs-layout'>,</span> <span class='hs-conid'>AnIndexedSetter'</span>
<a name="line-44"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Setting</span><span class='hs-layout'>,</span> <span class='hs-conid'>Setting'</span>
<a name="line-45"></a>  <span class='hs-comment'>-- * Building Setters</span>
<a name="line-46"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>sets</span><span class='hs-layout'>,</span> <span class='hs-varid'>setting</span>
<a name="line-47"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneSetter</span>
<a name="line-48"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneIndexPreservingSetter</span>
<a name="line-49"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>cloneIndexedSetter</span>
<a name="line-50"></a>  <span class='hs-comment'>-- * Common Setters</span>
<a name="line-51"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>mapped</span><span class='hs-layout'>,</span> <span class='hs-varid'>lifted</span>
<a name="line-52"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>contramapped</span>
<a name="line-53"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>argument</span>
<a name="line-54"></a>  <span class='hs-comment'>-- * Functional Combinators</span>
<a name="line-55"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>over</span>
<a name="line-56"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>set</span>
<a name="line-57"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>%~</span><span class='hs-layout'>)</span>
<a name="line-58"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>+~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>-~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>*~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>//~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>^~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>^^~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>**~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>||~</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'>&amp;&amp;~</span><span class='hs-layout'>)</span><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'>?~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;?~</span><span class='hs-layout'>)</span>
<a name="line-59"></a>  <span class='hs-comment'>-- * State Combinators</span>
<a name="line-60"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>assign</span><span class='hs-layout'>,</span> <span class='hs-varid'>modifying</span>
<a name="line-61"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>%=</span><span class='hs-layout'>)</span>
<a name="line-62"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>+=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>-=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>*=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>//=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>^=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>^^=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>**=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>||=</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'>&amp;&amp;=</span><span class='hs-layout'>)</span><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'>?=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;?=</span><span class='hs-layout'>)</span>
<a name="line-63"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;~</span><span class='hs-layout'>)</span>
<a name="line-64"></a>  <span class='hs-comment'>-- * Writer Combinators</span>
<a name="line-65"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>scribe</span>
<a name="line-66"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>passing</span><span class='hs-layout'>,</span> <span class='hs-varid'>ipassing</span>
<a name="line-67"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>censoring</span><span class='hs-layout'>,</span> <span class='hs-varid'>icensoring</span>
<a name="line-68"></a>  <span class='hs-comment'>-- * Simplified State Setting</span>
<a name="line-69"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>set'</span>
<a name="line-70"></a>  <span class='hs-comment'>-- * Indexed Setters</span>
<a name="line-71"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>imapOf</span><span class='hs-layout'>,</span> <span class='hs-varid'>iover</span><span class='hs-layout'>,</span> <span class='hs-varid'>iset</span><span class='hs-layout'>,</span> <span class='hs-varid'>imodifying</span>
<a name="line-72"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>isets</span>
<a name="line-73"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>%@~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.@~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>%@=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.@=</span><span class='hs-layout'>)</span>
<a name="line-74"></a>  <span class='hs-comment'>-- * Arrow operators</span>
<a name="line-75"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>assignA</span>
<a name="line-76"></a>  <span class='hs-comment'>-- * Exported for legible error messages</span>
<a name="line-77"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Settable</span>
<a name="line-78"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Identity</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-79"></a>  <span class='hs-comment'>-- * Deprecated</span>
<a name="line-80"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>mapOf</span>
<a name="line-81"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-82"></a>
<a name="line-83"></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-84"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</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'>Comonad</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'>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-87"></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'>Setter</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'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Type</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-layout'>(</span><span class='hs-varid'>liftM</span><span class='hs-layout'>)</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'>State</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>State</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'>Writer</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Writer</span>
<a name="line-92"></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-93"></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'>Identity</span>
<a name="line-94"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span>
<a name="line-95"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span>
<a name="line-96"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Rep</span>
<a name="line-97"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Sieve</span>
<a name="line-98"></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-99"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span>
<a name="line-100"></a>
<a name="line-101"></a><span class='hs-cpp'>#ifdef HLINT</span>
<a name="line-102"></a><span class='hs-comment'>{-# ANN module "HLint: ignore Avoid lambda" #-}</span>
<a name="line-103"></a><span class='hs-cpp'>#endif</span>
<a name="line-104"></a>
<a name="line-105"></a><span class='hs-comment'>-- $setup</span>
<a name="line-106"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Control.Lens</span>
<a name="line-107"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Control.Monad.State</span>
<a name="line-108"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Char</span>
<a name="line-109"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Map as Map</span>
<a name="line-110"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Debug.SimpleReflect.Expr as Expr</span>
<a name="line-111"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Debug.SimpleReflect.Vars as Vars</span>
<a name="line-112"></a><span class='hs-comment'>-- &gt;&gt;&gt; let f :: Expr -&gt; Expr; f = Vars.f</span>
<a name="line-113"></a><span class='hs-comment'>-- &gt;&gt;&gt; let g :: Expr -&gt; Expr; g = Vars.g</span>
<a name="line-114"></a><span class='hs-comment'>-- &gt;&gt;&gt; let h :: Expr -&gt; Expr -&gt; Expr; h = Vars.h</span>
<a name="line-115"></a><span class='hs-comment'>-- &gt;&gt;&gt; let getter :: Expr -&gt; Expr; getter = fun "getter"</span>
<a name="line-116"></a><span class='hs-comment'>-- &gt;&gt;&gt; let setter :: Expr -&gt; Expr -&gt; Expr; setter = fun "setter"</span>
<a name="line-117"></a><span class='hs-comment'>-- &gt;&gt;&gt; :set -XNoOverloadedStrings</span>
<a name="line-118"></a>
<a name="line-119"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>4</span> <span class='hs-varop'>%@~</span><span class='hs-layout'>,</span> <span class='hs-varop'>.@~</span><span class='hs-layout'>,</span> <span class='hs-varop'>.~</span><span class='hs-layout'>,</span> <span class='hs-varop'>+~</span><span class='hs-layout'>,</span> <span class='hs-varop'>*~</span><span class='hs-layout'>,</span> <span class='hs-varop'>-~</span><span class='hs-layout'>,</span> <span class='hs-varop'>//~</span><span class='hs-layout'>,</span> <span class='hs-varop'>^~</span><span class='hs-layout'>,</span> <span class='hs-varop'>^^~</span><span class='hs-layout'>,</span> <span class='hs-varop'>**~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&amp;&amp;~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&gt;~</span><span class='hs-layout'>,</span> <span class='hs-varop'>||~</span><span class='hs-layout'>,</span> <span class='hs-varop'>%~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.~</span><span class='hs-layout'>,</span> <span class='hs-varop'>?~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;?~</span>
<a name="line-120"></a><span class='hs-keyword'>infix</span>  <span class='hs-num'>4</span> <span class='hs-varop'>%@=</span><span class='hs-layout'>,</span> <span class='hs-varop'>.@=</span><span class='hs-layout'>,</span> <span class='hs-varop'>.=</span><span class='hs-layout'>,</span> <span class='hs-varop'>+=</span><span class='hs-layout'>,</span> <span class='hs-varop'>*=</span><span class='hs-layout'>,</span> <span class='hs-varop'>-=</span><span class='hs-layout'>,</span> <span class='hs-varop'>//=</span><span class='hs-layout'>,</span> <span class='hs-varop'>^=</span><span class='hs-layout'>,</span> <span class='hs-varop'>^^=</span><span class='hs-layout'>,</span> <span class='hs-varop'>**=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&amp;&amp;=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&gt;=</span><span class='hs-layout'>,</span> <span class='hs-varop'>||=</span><span class='hs-layout'>,</span> <span class='hs-varop'>%=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.=</span><span class='hs-layout'>,</span> <span class='hs-varop'>?=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;?=</span>
<a name="line-121"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>2</span> <span class='hs-varop'>&lt;~</span>
<a name="line-122"></a>
<a name="line-123"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-124"></a><span class='hs-comment'>-- Setters</span>
<a name="line-125"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-126"></a>
<a name="line-127"></a><a name="ASetter"></a><span class='hs-comment'>-- | Running a 'Setter' instantiates it to a concrete type.</span>
<a name="line-128"></a><a name="ASetter"></a><span class='hs-comment'>--</span>
<a name="line-129"></a><a name="ASetter"></a><span class='hs-comment'>-- When consuming a setter directly to perform a mapping, you can use this type, but most</span>
<a name="line-130"></a><a name="ASetter"></a><span class='hs-comment'>-- user code will not need to use this type.</span>
<a name="line-131"></a><a name="ASetter"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-varid'>t</span>
<a name="line-132"></a>
<a name="line-133"></a><a name="ASetter'"></a><span class='hs-comment'>-- | This is a useful alias for use when consuming a 'Setter''.</span>
<a name="line-134"></a><a name="ASetter'"></a><span class='hs-comment'>--</span>
<a name="line-135"></a><a name="ASetter'"></a><span class='hs-comment'>-- Most user code will never have to use this type.</span>
<a name="line-136"></a><a name="ASetter'"></a><span class='hs-comment'>--</span>
<a name="line-137"></a><a name="ASetter'"></a><span class='hs-comment'>-- @</span>
<a name="line-138"></a><a name="ASetter'"></a><span class='hs-comment'>-- type 'ASetter'' = 'Simple' 'ASetter'</span>
<a name="line-139"></a><a name="ASetter'"></a><span class='hs-comment'>-- @</span>
<a name="line-140"></a><a name="ASetter'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-141"></a>
<a name="line-142"></a><a name="AnIndexedSetter"></a><span class='hs-comment'>-- | Running an 'IndexedSetter' instantiates it to a concrete type.</span>
<a name="line-143"></a><a name="AnIndexedSetter"></a><span class='hs-comment'>--</span>
<a name="line-144"></a><a name="AnIndexedSetter"></a><span class='hs-comment'>-- When consuming a setter directly to perform a mapping, you can use this type, but most</span>
<a name="line-145"></a><a name="AnIndexedSetter"></a><span class='hs-comment'>-- user code will not need to use this type.</span>
<a name="line-146"></a><a name="AnIndexedSetter"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AnIndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>i</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-varid'>t</span>
<a name="line-147"></a>
<a name="line-148"></a><a name="AnIndexedSetter'"></a><span class='hs-comment'>-- | @</span>
<a name="line-149"></a><a name="AnIndexedSetter'"></a><span class='hs-comment'>-- type 'AnIndexedSetter'' i = 'Simple' ('AnIndexedSetter' i)</span>
<a name="line-150"></a><a name="AnIndexedSetter'"></a><span class='hs-comment'>-- @</span>
<a name="line-151"></a><a name="AnIndexedSetter'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>AnIndexedSetter'</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>AnIndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-152"></a>
<a name="line-153"></a><a name="Setting"></a><span class='hs-comment'>-- | This is a convenient alias when defining highly polymorphic code that takes both</span>
<a name="line-154"></a><a name="Setting"></a><span class='hs-comment'>-- 'ASetter' and 'AnIndexedSetter' as appropriate. If a function takes this it is</span>
<a name="line-155"></a><a name="Setting"></a><span class='hs-comment'>-- expecting one of those two things based on context.</span>
<a name="line-156"></a><a name="Setting"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Setting</span> <span class='hs-varid'>p</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-varid'>t</span>
<a name="line-157"></a>
<a name="line-158"></a><a name="Setting'"></a><span class='hs-comment'>-- | This is a convenient alias when defining highly polymorphic code that takes both</span>
<a name="line-159"></a><a name="Setting'"></a><span class='hs-comment'>-- 'ASetter'' and 'AnIndexedSetter'' as appropriate. If a function takes this it is</span>
<a name="line-160"></a><a name="Setting'"></a><span class='hs-comment'>-- expecting one of those two things based on context.</span>
<a name="line-161"></a><a name="Setting'"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Setting'</span> <span class='hs-varid'>p</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Setting</span> <span class='hs-varid'>p</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-162"></a>
<a name="line-163"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-164"></a><span class='hs-comment'>-- Setters</span>
<a name="line-165"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-166"></a>
<a name="line-167"></a><a name="mapped"></a><span class='hs-comment'>-- | This 'Setter' can be used to map over all of the values in a 'Functor'.</span>
<a name="line-168"></a><span class='hs-comment'>--</span>
<a name="line-169"></a><span class='hs-comment'>-- @</span>
<a name="line-170"></a><span class='hs-comment'>-- 'fmap' ≡ 'over' 'mapped'</span>
<a name="line-171"></a><span class='hs-comment'>-- 'Data.Traversable.fmapDefault' ≡ 'over' 'Data.Traversable.traverse'</span>
<a name="line-172"></a><span class='hs-comment'>-- ('&lt;$') ≡ 'set' 'mapped'</span>
<a name="line-173"></a><span class='hs-comment'>-- @</span>
<a name="line-174"></a><span class='hs-comment'>--</span>
<a name="line-175"></a><span class='hs-comment'>-- &gt;&gt;&gt; over mapped f [a,b,c]</span>
<a name="line-176"></a><span class='hs-comment'>-- [f a,f b,f c]</span>
<a name="line-177"></a><span class='hs-comment'>--</span>
<a name="line-178"></a><span class='hs-comment'>-- &gt;&gt;&gt; over mapped (+1) [1,2,3]</span>
<a name="line-179"></a><span class='hs-comment'>-- [2,3,4]</span>
<a name="line-180"></a><span class='hs-comment'>--</span>
<a name="line-181"></a><span class='hs-comment'>-- &gt;&gt;&gt; set mapped x [a,b,c]</span>
<a name="line-182"></a><span class='hs-comment'>-- [x,x,x]</span>
<a name="line-183"></a><span class='hs-comment'>--</span>
<a name="line-184"></a><span class='hs-comment'>-- &gt;&gt;&gt; [[a,b],[c]] &amp; mapped.mapped +~ x</span>
<a name="line-185"></a><span class='hs-comment'>-- [[a + x,b + x],[c + x]]</span>
<a name="line-186"></a><span class='hs-comment'>--</span>
<a name="line-187"></a><span class='hs-comment'>-- &gt;&gt;&gt; over (mapped._2) length [("hello","world"),("leaders","!!!")]</span>
<a name="line-188"></a><span class='hs-comment'>-- [("hello",5),("leaders",3)]</span>
<a name="line-189"></a><span class='hs-comment'>--</span>
<a name="line-190"></a><span class='hs-comment'>-- @</span>
<a name="line-191"></a><span class='hs-comment'>-- 'mapped' :: 'Functor' f =&gt; 'Setter' (f a) (f b) a b</span>
<a name="line-192"></a><span class='hs-comment'>-- @</span>
<a name="line-193"></a><span class='hs-comment'>--</span>
<a name="line-194"></a><span class='hs-comment'>-- If you want an 'IndexPreservingSetter' use @'setting' 'fmap'@.</span>
<a name="line-195"></a><span class='hs-definition'>mapped</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Setter</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-196"></a><span class='hs-definition'>mapped</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sets</span> <span class='hs-varid'>fmap</span>
<a name="line-197"></a><span class='hs-comment'>{-# INLINE mapped #-}</span>
<a name="line-198"></a>
<a name="line-199"></a><a name="lifted"></a><span class='hs-comment'>-- | This 'setter' can be used to modify all of the values in a 'Monad'.</span>
<a name="line-200"></a><span class='hs-comment'>--</span>
<a name="line-201"></a><span class='hs-comment'>-- You sometimes have to use this rather than 'mapped' -- due to</span>
<a name="line-202"></a><span class='hs-comment'>-- temporary insanity 'Functor' is not a superclass of 'Monad'.</span>
<a name="line-203"></a><span class='hs-comment'>--</span>
<a name="line-204"></a><span class='hs-comment'>-- @</span>
<a name="line-205"></a><span class='hs-comment'>-- 'liftM' ≡ 'over' 'lifted'</span>
<a name="line-206"></a><span class='hs-comment'>-- @</span>
<a name="line-207"></a><span class='hs-comment'>--</span>
<a name="line-208"></a><span class='hs-comment'>-- &gt;&gt;&gt; over lifted f [a,b,c]</span>
<a name="line-209"></a><span class='hs-comment'>-- [f a,f b,f c]</span>
<a name="line-210"></a><span class='hs-comment'>--</span>
<a name="line-211"></a><span class='hs-comment'>-- &gt;&gt;&gt; set lifted b (Just a)</span>
<a name="line-212"></a><span class='hs-comment'>-- Just b</span>
<a name="line-213"></a><span class='hs-comment'>--</span>
<a name="line-214"></a><span class='hs-comment'>-- If you want an 'IndexPreservingSetter' use @'setting' 'liftM'@.</span>
<a name="line-215"></a><span class='hs-definition'>lifted</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Setter</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-216"></a><span class='hs-definition'>lifted</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sets</span> <span class='hs-varid'>liftM</span>
<a name="line-217"></a><span class='hs-comment'>{-# INLINE lifted #-}</span>
<a name="line-218"></a>
<a name="line-219"></a><a name="contramapped"></a><span class='hs-comment'>-- | This 'Setter' can be used to map over all of the inputs to a 'Contravariant'.</span>
<a name="line-220"></a><span class='hs-comment'>--</span>
<a name="line-221"></a><span class='hs-comment'>-- @</span>
<a name="line-222"></a><span class='hs-comment'>-- 'contramap' ≡ 'over' 'contramapped'</span>
<a name="line-223"></a><span class='hs-comment'>-- @</span>
<a name="line-224"></a><span class='hs-comment'>--</span>
<a name="line-225"></a><span class='hs-comment'>-- &gt;&gt;&gt; getPredicate (over contramapped (*2) (Predicate even)) 5</span>
<a name="line-226"></a><span class='hs-comment'>-- True</span>
<a name="line-227"></a><span class='hs-comment'>--</span>
<a name="line-228"></a><span class='hs-comment'>-- &gt;&gt;&gt; getOp (over contramapped (*5) (Op show)) 100</span>
<a name="line-229"></a><span class='hs-comment'>-- "500"</span>
<a name="line-230"></a><span class='hs-comment'>--</span>
<a name="line-231"></a><span class='hs-comment'>-- &gt;&gt;&gt; Prelude.map ($ 1) $ over (mapped . _Unwrapping' Op . contramapped) (*12) [(*2),(+1),(^3)]</span>
<a name="line-232"></a><span class='hs-comment'>-- [24,13,1728]</span>
<a name="line-233"></a><span class='hs-comment'>--</span>
<a name="line-234"></a><span class='hs-definition'>contramapped</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Contravariant</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Setter</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-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> <span class='hs-varid'>b</span>
<a name="line-235"></a><span class='hs-definition'>contramapped</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sets</span> <span class='hs-varid'>contramap</span>
<a name="line-236"></a><span class='hs-comment'>{-# INLINE contramapped #-}</span>
<a name="line-237"></a>
<a name="line-238"></a><a name="argument"></a><span class='hs-comment'>-- | This 'Setter' can be used to map over the input of a 'Profunctor'.</span>
<a name="line-239"></a><span class='hs-comment'>--</span>
<a name="line-240"></a><span class='hs-comment'>-- The most common 'Profunctor' to use this with is @(-&gt;)@.</span>
<a name="line-241"></a><span class='hs-comment'>--</span>
<a name="line-242"></a><span class='hs-comment'>-- &gt;&gt;&gt; (argument %~ f) g x</span>
<a name="line-243"></a><span class='hs-comment'>-- g (f x)</span>
<a name="line-244"></a><span class='hs-comment'>--</span>
<a name="line-245"></a><span class='hs-comment'>-- &gt;&gt;&gt; (argument %~ show) length [1,2,3]</span>
<a name="line-246"></a><span class='hs-comment'>-- 7</span>
<a name="line-247"></a><span class='hs-comment'>--</span>
<a name="line-248"></a><span class='hs-comment'>-- &gt;&gt;&gt; (argument %~ f) h x y</span>
<a name="line-249"></a><span class='hs-comment'>-- h (f x) y</span>
<a name="line-250"></a><span class='hs-comment'>--</span>
<a name="line-251"></a><span class='hs-comment'>-- Map over the argument of the result of a function -- i.e., its second</span>
<a name="line-252"></a><span class='hs-comment'>-- argument:</span>
<a name="line-253"></a><span class='hs-comment'>--</span>
<a name="line-254"></a><span class='hs-comment'>-- &gt;&gt;&gt; (mapped.argument %~ f) h x y</span>
<a name="line-255"></a><span class='hs-comment'>-- h x (f y)</span>
<a name="line-256"></a><span class='hs-comment'>--</span>
<a name="line-257"></a><span class='hs-comment'>-- @</span>
<a name="line-258"></a><span class='hs-comment'>-- 'argument' :: 'Setter' (b -&gt; r) (a -&gt; r) a b</span>
<a name="line-259"></a><span class='hs-comment'>-- @</span>
<a name="line-260"></a><span class='hs-definition'>argument</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Setter</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-varid'>b</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-261"></a><span class='hs-definition'>argument</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sets</span> <span class='hs-varid'>lmap</span>
<a name="line-262"></a><span class='hs-comment'>{-# INLINE argument #-}</span>
<a name="line-263"></a>
<a name="line-264"></a><a name="setting"></a><span class='hs-comment'>-- | Build an index-preserving 'Setter' from a map-like function.</span>
<a name="line-265"></a><span class='hs-comment'>--</span>
<a name="line-266"></a><span class='hs-comment'>-- Your supplied function @f@ is required to satisfy:</span>
<a name="line-267"></a><span class='hs-comment'>--</span>
<a name="line-268"></a><span class='hs-comment'>-- @</span>
<a name="line-269"></a><span class='hs-comment'>-- f 'id' ≡ 'id'</span>
<a name="line-270"></a><span class='hs-comment'>-- f g '.' f h ≡ f (g '.' h)</span>
<a name="line-271"></a><span class='hs-comment'>-- @</span>
<a name="line-272"></a><span class='hs-comment'>--</span>
<a name="line-273"></a><span class='hs-comment'>-- Equational reasoning:</span>
<a name="line-274"></a><span class='hs-comment'>--</span>
<a name="line-275"></a><span class='hs-comment'>-- @</span>
<a name="line-276"></a><span class='hs-comment'>-- 'setting' '.' 'over' ≡ 'id'</span>
<a name="line-277"></a><span class='hs-comment'>-- 'over' '.' 'setting' ≡ 'id'</span>
<a name="line-278"></a><span class='hs-comment'>-- @</span>
<a name="line-279"></a><span class='hs-comment'>--</span>
<a name="line-280"></a><span class='hs-comment'>-- Another way to view 'sets' is that it takes a \"semantic editor combinator\"</span>
<a name="line-281"></a><span class='hs-comment'>-- and transforms it into a 'Setter'.</span>
<a name="line-282"></a><span class='hs-comment'>--</span>
<a name="line-283"></a><span class='hs-comment'>-- @</span>
<a name="line-284"></a><span class='hs-comment'>-- 'setting' :: ((a -&gt; b) -&gt; s -&gt; t) -&gt; 'Setter' s t a b</span>
<a name="line-285"></a><span class='hs-comment'>-- @</span>
<a name="line-286"></a><span class='hs-definition'>setting</span> <span class='hs-keyglyph'>::</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-conid'>IndexPreservingSetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-287"></a><span class='hs-definition'>setting</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ws</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>pure</span> <span class='hs-varop'>$</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>untainted</span> <span class='hs-layout'>(</span><span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varop'>&lt;$</span> <span class='hs-varid'>ws</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'>extract</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span>
<a name="line-288"></a><span class='hs-comment'>{-# INLINE setting #-}</span>
<a name="line-289"></a>
<a name="line-290"></a><a name="sets"></a><span class='hs-comment'>-- | Build a 'Setter', 'IndexedSetter' or 'IndexPreservingSetter' depending on your choice of 'Profunctor'.</span>
<a name="line-291"></a><span class='hs-comment'>--</span>
<a name="line-292"></a><span class='hs-comment'>-- @</span>
<a name="line-293"></a><span class='hs-comment'>-- 'sets' :: ((a -&gt; b) -&gt; s -&gt; t) -&gt; 'Setter' s t a b</span>
<a name="line-294"></a><span class='hs-comment'>-- @</span>
<a name="line-295"></a><span class='hs-definition'>sets</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>q</span><span class='hs-layout'>,</span> <span class='hs-conid'>Settable</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'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>q</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</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-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-296"></a><span class='hs-definition'>sets</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>taintedDot</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>untaintedDot</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-297"></a><span class='hs-comment'>{-# INLINE sets #-}</span>
<a name="line-298"></a>
<a name="line-299"></a><a name="cloneSetter"></a><span class='hs-comment'>-- | Restore 'ASetter' to a full 'Setter'.</span>
<a name="line-300"></a><span class='hs-definition'>cloneSetter</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Setter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-301"></a><span class='hs-definition'>cloneSetter</span> <span class='hs-varid'>l</span> <span class='hs-varid'>afb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>taintedDot</span> <span class='hs-varop'>$</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>untaintedDot</span> <span class='hs-varid'>afb</span><span class='hs-layout'>)</span>
<a name="line-302"></a><span class='hs-comment'>{-# INLINE cloneSetter #-}</span>
<a name="line-303"></a>
<a name="line-304"></a><a name="cloneIndexPreservingSetter"></a><span class='hs-comment'>-- | Build an 'IndexPreservingSetter' from any 'Setter'.</span>
<a name="line-305"></a><span class='hs-definition'>cloneIndexPreservingSetter</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexPreservingSetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-306"></a><span class='hs-definition'>cloneIndexPreservingSetter</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cotabulate</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ws</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-307"></a>    <span class='hs-varid'>taintedDot</span> <span class='hs-varid'>runIdentity</span> <span class='hs-varop'>$</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-layout'>(</span><span class='hs-varid'>untainted</span> <span class='hs-layout'>(</span><span class='hs-varid'>cosieve</span> <span class='hs-varid'>pafb</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varop'>&lt;$</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>extract</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span>
<a name="line-308"></a><span class='hs-comment'>{-# INLINE cloneIndexPreservingSetter #-}</span>
<a name="line-309"></a>
<a name="line-310"></a><a name="cloneIndexedSetter"></a><span class='hs-comment'>-- | Clone an 'IndexedSetter'.</span>
<a name="line-311"></a><span class='hs-definition'>cloneIndexedSetter</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-312"></a><span class='hs-definition'>cloneIndexedSetter</span> <span class='hs-varid'>l</span> <span class='hs-varid'>pafb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>taintedDot</span> <span class='hs-layout'>(</span><span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Indexed</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>untaintedDot</span> <span class='hs-layout'>(</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>pafb</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-313"></a><span class='hs-comment'>{-# INLINE cloneIndexedSetter #-}</span>
<a name="line-314"></a>
<a name="line-315"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-316"></a><span class='hs-comment'>-- Using Setters</span>
<a name="line-317"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-318"></a>
<a name="line-319"></a><a name="over"></a><span class='hs-comment'>-- | Modify the target of a 'Lens' or all the targets of a 'Setter' or 'Traversal'</span>
<a name="line-320"></a><span class='hs-comment'>-- with a function.</span>
<a name="line-321"></a><span class='hs-comment'>--</span>
<a name="line-322"></a><span class='hs-comment'>-- @</span>
<a name="line-323"></a><span class='hs-comment'>-- 'fmap' ≡ 'over' 'mapped'</span>
<a name="line-324"></a><span class='hs-comment'>-- 'Data.Traversable.fmapDefault' ≡ 'over' 'Data.Traversable.traverse'</span>
<a name="line-325"></a><span class='hs-comment'>-- 'sets' '.' 'over' ≡ 'id'</span>
<a name="line-326"></a><span class='hs-comment'>-- 'over' '.' 'sets' ≡ 'id'</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'>-- Given any valid 'Setter' @l@, you can also rely on the law:</span>
<a name="line-330"></a><span class='hs-comment'>--</span>
<a name="line-331"></a><span class='hs-comment'>-- @</span>
<a name="line-332"></a><span class='hs-comment'>-- 'over' l f '.' 'over' l g = 'over' l (f '.' g)</span>
<a name="line-333"></a><span class='hs-comment'>-- @</span>
<a name="line-334"></a><span class='hs-comment'>--</span>
<a name="line-335"></a><span class='hs-comment'>-- /e.g./</span>
<a name="line-336"></a><span class='hs-comment'>--</span>
<a name="line-337"></a><span class='hs-comment'>-- &gt;&gt;&gt; over mapped f (over mapped g [a,b,c]) == over mapped (f . g) [a,b,c]</span>
<a name="line-338"></a><span class='hs-comment'>-- True</span>
<a name="line-339"></a><span class='hs-comment'>--</span>
<a name="line-340"></a><span class='hs-comment'>-- Another way to view 'over' is to say that it transforms a 'Setter' into a</span>
<a name="line-341"></a><span class='hs-comment'>-- \"semantic editor combinator\".</span>
<a name="line-342"></a><span class='hs-comment'>--</span>
<a name="line-343"></a><span class='hs-comment'>-- &gt;&gt;&gt; over mapped f (Just a)</span>
<a name="line-344"></a><span class='hs-comment'>-- Just (f a)</span>
<a name="line-345"></a><span class='hs-comment'>--</span>
<a name="line-346"></a><span class='hs-comment'>-- &gt;&gt;&gt; over mapped (*10) [1,2,3]</span>
<a name="line-347"></a><span class='hs-comment'>-- [10,20,30]</span>
<a name="line-348"></a><span class='hs-comment'>--</span>
<a name="line-349"></a><span class='hs-comment'>-- &gt;&gt;&gt; over _1 f (a,b)</span>
<a name="line-350"></a><span class='hs-comment'>-- (f a,b)</span>
<a name="line-351"></a><span class='hs-comment'>--</span>
<a name="line-352"></a><span class='hs-comment'>-- &gt;&gt;&gt; over _1 show (10,20)</span>
<a name="line-353"></a><span class='hs-comment'>-- ("10",20)</span>
<a name="line-354"></a><span class='hs-comment'>--</span>
<a name="line-355"></a><span class='hs-comment'>-- @</span>
<a name="line-356"></a><span class='hs-comment'>-- 'over' :: 'Setter' s t a b -&gt; (a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-357"></a><span class='hs-comment'>-- 'over' :: 'ASetter' s t a b -&gt; (a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-358"></a><span class='hs-comment'>-- @</span>
<a name="line-359"></a><span class='hs-definition'>over</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-360"></a><span class='hs-definition'>over</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-361"></a><span class='hs-comment'>{-# INLINE over #-}</span>
<a name="line-362"></a>
<a name="line-363"></a><a name="set"></a><span class='hs-comment'>-- | Replace the target of a 'Lens' or all of the targets of a 'Setter'</span>
<a name="line-364"></a><span class='hs-comment'>-- or 'Traversal' with a constant value.</span>
<a name="line-365"></a><span class='hs-comment'>--</span>
<a name="line-366"></a><span class='hs-comment'>-- @</span>
<a name="line-367"></a><span class='hs-comment'>-- ('&lt;$') ≡ 'set' 'mapped'</span>
<a name="line-368"></a><span class='hs-comment'>-- @</span>
<a name="line-369"></a><span class='hs-comment'>--</span>
<a name="line-370"></a><span class='hs-comment'>-- &gt;&gt;&gt; set _2 "hello" (1,())</span>
<a name="line-371"></a><span class='hs-comment'>-- (1,"hello")</span>
<a name="line-372"></a><span class='hs-comment'>--</span>
<a name="line-373"></a><span class='hs-comment'>-- &gt;&gt;&gt; set mapped () [1,2,3,4]</span>
<a name="line-374"></a><span class='hs-comment'>-- [(),(),(),()]</span>
<a name="line-375"></a><span class='hs-comment'>--</span>
<a name="line-376"></a><span class='hs-comment'>-- Note: Attempting to 'set' a 'Fold' or 'Getter' will fail at compile time with an</span>
<a name="line-377"></a><span class='hs-comment'>-- relatively nice error message.</span>
<a name="line-378"></a><span class='hs-comment'>--</span>
<a name="line-379"></a><span class='hs-comment'>-- @</span>
<a name="line-380"></a><span class='hs-comment'>-- 'set' :: 'Setter' s t a b    -&gt; b -&gt; s -&gt; t</span>
<a name="line-381"></a><span class='hs-comment'>-- 'set' :: 'Iso' s t a b       -&gt; b -&gt; s -&gt; t</span>
<a name="line-382"></a><span class='hs-comment'>-- 'set' :: 'Lens' s t a b      -&gt; b -&gt; s -&gt; t</span>
<a name="line-383"></a><span class='hs-comment'>-- 'set' :: 'Traversal' s t a b -&gt; b -&gt; s -&gt; t</span>
<a name="line-384"></a><span class='hs-comment'>-- @</span>
<a name="line-385"></a><span class='hs-definition'>set</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>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>
<a name="line-386"></a><span class='hs-definition'>set</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-387"></a><span class='hs-comment'>{-# INLINE set #-}</span>
<a name="line-388"></a>
<a name="line-389"></a><a name="set'"></a><span class='hs-comment'>-- | Replace the target of a 'Lens' or all of the targets of a 'Setter''</span>
<a name="line-390"></a><span class='hs-comment'>-- or 'Traversal' with a constant value, without changing its type.</span>
<a name="line-391"></a><span class='hs-comment'>--</span>
<a name="line-392"></a><span class='hs-comment'>-- This is a type restricted version of 'set', which retains the type of the original.</span>
<a name="line-393"></a><span class='hs-comment'>--</span>
<a name="line-394"></a><span class='hs-comment'>-- &gt;&gt;&gt; set' mapped x [a,b,c,d]</span>
<a name="line-395"></a><span class='hs-comment'>-- [x,x,x,x]</span>
<a name="line-396"></a><span class='hs-comment'>--</span>
<a name="line-397"></a><span class='hs-comment'>-- &gt;&gt;&gt; set' _2 "hello" (1,"world")</span>
<a name="line-398"></a><span class='hs-comment'>-- (1,"hello")</span>
<a name="line-399"></a><span class='hs-comment'>--</span>
<a name="line-400"></a><span class='hs-comment'>-- &gt;&gt;&gt; set' mapped 0 [1,2,3,4]</span>
<a name="line-401"></a><span class='hs-comment'>-- [0,0,0,0]</span>
<a name="line-402"></a><span class='hs-comment'>--</span>
<a name="line-403"></a><span class='hs-comment'>-- Note: Attempting to adjust 'set'' a 'Fold' or 'Getter' will fail at compile time with an</span>
<a name="line-404"></a><span class='hs-comment'>-- relatively nice error message.</span>
<a name="line-405"></a><span class='hs-comment'>--</span>
<a name="line-406"></a><span class='hs-comment'>-- @</span>
<a name="line-407"></a><span class='hs-comment'>-- 'set'' :: 'Setter'' s a    -&gt; a -&gt; s -&gt; s</span>
<a name="line-408"></a><span class='hs-comment'>-- 'set'' :: 'Iso'' s a       -&gt; a -&gt; s -&gt; s</span>
<a name="line-409"></a><span class='hs-comment'>-- 'set'' :: 'Lens'' s a      -&gt; a -&gt; s -&gt; s</span>
<a name="line-410"></a><span class='hs-comment'>-- 'set'' :: 'Traversal'' s a -&gt; a -&gt; s -&gt; s</span>
<a name="line-411"></a><span class='hs-comment'>-- @</span>
<a name="line-412"></a><span class='hs-definition'>set'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span>
<a name="line-413"></a><span class='hs-definition'>set'</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Identity</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-414"></a><span class='hs-comment'>{-# INLINE set' #-}</span>
<a name="line-415"></a>
<a name="line-416"></a><a name="%25~"></a><span class='hs-comment'>-- | Modifies the target of a 'Lens' or all of the targets of a 'Setter' or</span>
<a name="line-417"></a><span class='hs-comment'>-- 'Traversal' with a user supplied function.</span>
<a name="line-418"></a><span class='hs-comment'>--</span>
<a name="line-419"></a><span class='hs-comment'>-- This is an infix version of 'over'.</span>
<a name="line-420"></a><span class='hs-comment'>--</span>
<a name="line-421"></a><span class='hs-comment'>-- @</span>
<a name="line-422"></a><span class='hs-comment'>-- 'fmap' f ≡ 'mapped' '%~' f</span>
<a name="line-423"></a><span class='hs-comment'>-- 'Data.Traversable.fmapDefault' f ≡ 'Data.Traversable.traverse' '%~' f</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'>-- &gt;&gt;&gt; (a,b,c) &amp; _3 %~ f</span>
<a name="line-427"></a><span class='hs-comment'>-- (a,b,f c)</span>
<a name="line-428"></a><span class='hs-comment'>--</span>
<a name="line-429"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both %~ f</span>
<a name="line-430"></a><span class='hs-comment'>-- (f a,f b)</span>
<a name="line-431"></a><span class='hs-comment'>--</span>
<a name="line-432"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2 %~ length $ (1,"hello")</span>
<a name="line-433"></a><span class='hs-comment'>-- (1,5)</span>
<a name="line-434"></a><span class='hs-comment'>--</span>
<a name="line-435"></a><span class='hs-comment'>-- &gt;&gt;&gt; traverse %~ f $ [a,b,c]</span>
<a name="line-436"></a><span class='hs-comment'>-- [f a,f b,f c]</span>
<a name="line-437"></a><span class='hs-comment'>--</span>
<a name="line-438"></a><span class='hs-comment'>-- &gt;&gt;&gt; traverse %~ even $ [1,2,3]</span>
<a name="line-439"></a><span class='hs-comment'>-- [False,True,False]</span>
<a name="line-440"></a><span class='hs-comment'>--</span>
<a name="line-441"></a><span class='hs-comment'>-- &gt;&gt;&gt; traverse.traverse %~ length $ [["hello","world"],["!!!"]]</span>
<a name="line-442"></a><span class='hs-comment'>-- [[5,5],[3]]</span>
<a name="line-443"></a><span class='hs-comment'>--</span>
<a name="line-444"></a><span class='hs-comment'>-- @</span>
<a name="line-445"></a><span class='hs-comment'>-- ('%~') :: 'Setter' s t a b    -&gt; (a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-446"></a><span class='hs-comment'>-- ('%~') :: 'Iso' s t a b       -&gt; (a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-447"></a><span class='hs-comment'>-- ('%~') :: 'Lens' s t a b      -&gt; (a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-448"></a><span class='hs-comment'>-- ('%~') :: 'Traversal' s t a b -&gt; (a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-449"></a><span class='hs-comment'>-- @</span>
<a name="line-450"></a><span class='hs-layout'>(</span><span class='hs-varop'>%~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-451"></a><span class='hs-layout'>(</span><span class='hs-varop'>%~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span>
<a name="line-452"></a><span class='hs-comment'>{-# INLINE (%~) #-}</span>
<a name="line-453"></a>
<a name="line-454"></a><a name=".~"></a><span class='hs-comment'>-- | Replace the target of a 'Lens' or all of the targets of a 'Setter'</span>
<a name="line-455"></a><span class='hs-comment'>-- or 'Traversal' with a constant value.</span>
<a name="line-456"></a><span class='hs-comment'>--</span>
<a name="line-457"></a><span class='hs-comment'>-- This is an infix version of 'set', provided for consistency with ('.=').</span>
<a name="line-458"></a><span class='hs-comment'>--</span>
<a name="line-459"></a><span class='hs-comment'>-- @</span>
<a name="line-460"></a><span class='hs-comment'>-- f '&lt;$' a ≡ 'mapped' '.~' f '$' a</span>
<a name="line-461"></a><span class='hs-comment'>-- @</span>
<a name="line-462"></a><span class='hs-comment'>--</span>
<a name="line-463"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b,c,d) &amp; _4 .~ e</span>
<a name="line-464"></a><span class='hs-comment'>-- (a,b,c,e)</span>
<a name="line-465"></a><span class='hs-comment'>--</span>
<a name="line-466"></a><span class='hs-comment'>-- &gt;&gt;&gt; (42,"world") &amp; _1 .~ "hello"</span>
<a name="line-467"></a><span class='hs-comment'>-- ("hello","world")</span>
<a name="line-468"></a><span class='hs-comment'>--</span>
<a name="line-469"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both .~ c</span>
<a name="line-470"></a><span class='hs-comment'>-- (c,c)</span>
<a name="line-471"></a><span class='hs-comment'>--</span>
<a name="line-472"></a><span class='hs-comment'>-- @</span>
<a name="line-473"></a><span class='hs-comment'>-- ('.~') :: 'Setter' s t a b    -&gt; b -&gt; s -&gt; t</span>
<a name="line-474"></a><span class='hs-comment'>-- ('.~') :: 'Iso' s t a b       -&gt; b -&gt; s -&gt; t</span>
<a name="line-475"></a><span class='hs-comment'>-- ('.~') :: 'Lens' s t a b      -&gt; b -&gt; s -&gt; t</span>
<a name="line-476"></a><span class='hs-comment'>-- ('.~') :: 'Traversal' s t a b -&gt; b -&gt; s -&gt; t</span>
<a name="line-477"></a><span class='hs-comment'>-- @</span>
<a name="line-478"></a><span class='hs-layout'>(</span><span class='hs-varop'>.~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>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>
<a name="line-479"></a><span class='hs-layout'>(</span><span class='hs-varop'>.~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>set</span>
<a name="line-480"></a><span class='hs-comment'>{-# INLINE (.~) #-}</span>
<a name="line-481"></a>
<a name="line-482"></a><a name="?~"></a><span class='hs-comment'>-- | Set the target of a 'Lens', 'Traversal' or 'Setter' to 'Just' a value.</span>
<a name="line-483"></a><span class='hs-comment'>--</span>
<a name="line-484"></a><span class='hs-comment'>-- @</span>
<a name="line-485"></a><span class='hs-comment'>-- l '?~' t ≡ 'set' l ('Just' t)</span>
<a name="line-486"></a><span class='hs-comment'>-- @</span>
<a name="line-487"></a><span class='hs-comment'>--</span>
<a name="line-488"></a><span class='hs-comment'>-- &gt;&gt;&gt; Nothing &amp; id ?~ a</span>
<a name="line-489"></a><span class='hs-comment'>-- Just a</span>
<a name="line-490"></a><span class='hs-comment'>--</span>
<a name="line-491"></a><span class='hs-comment'>-- &gt;&gt;&gt; Map.empty &amp; at 3 ?~ x</span>
<a name="line-492"></a><span class='hs-comment'>-- fromList [(3,x)]</span>
<a name="line-493"></a><span class='hs-comment'>--</span>
<a name="line-494"></a><span class='hs-comment'>-- @</span>
<a name="line-495"></a><span class='hs-comment'>-- ('?~') :: 'Setter' s t a ('Maybe' b)    -&gt; b -&gt; s -&gt; t</span>
<a name="line-496"></a><span class='hs-comment'>-- ('?~') :: 'Iso' s t a ('Maybe' b)       -&gt; b -&gt; s -&gt; t</span>
<a name="line-497"></a><span class='hs-comment'>-- ('?~') :: 'Lens' s t a ('Maybe' b)      -&gt; b -&gt; s -&gt; t</span>
<a name="line-498"></a><span class='hs-comment'>-- ('?~') :: 'Traversal' s t a ('Maybe' b) -&gt; b -&gt; s -&gt; t</span>
<a name="line-499"></a><span class='hs-comment'>-- @</span>
<a name="line-500"></a><span class='hs-layout'>(</span><span class='hs-varop'>?~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</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'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-501"></a><a name="l"></a><span class='hs-definition'>l</span> <span class='hs-varop'>?~</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>set</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-502"></a><span class='hs-comment'>{-# INLINE (?~) #-}</span>
<a name="line-503"></a>
<a name="line-504"></a><a name="%3c.~"></a><span class='hs-comment'>-- | Set with pass-through.</span>
<a name="line-505"></a><span class='hs-comment'>--</span>
<a name="line-506"></a><span class='hs-comment'>-- This is mostly present for consistency, but may be useful for chaining assignments.</span>
<a name="line-507"></a><span class='hs-comment'>--</span>
<a name="line-508"></a><span class='hs-comment'>-- If you do not need a copy of the intermediate result, then using @l '.~' t@ directly is a good idea.</span>
<a name="line-509"></a><span class='hs-comment'>--</span>
<a name="line-510"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; _1 &lt;.~ c</span>
<a name="line-511"></a><span class='hs-comment'>-- (c,(c,b))</span>
<a name="line-512"></a><span class='hs-comment'>--</span>
<a name="line-513"></a><span class='hs-comment'>-- &gt;&gt;&gt; ("good","morning","vietnam") &amp; _3 &lt;.~ "world"</span>
<a name="line-514"></a><span class='hs-comment'>-- ("world",("good","morning","world"))</span>
<a name="line-515"></a><span class='hs-comment'>--</span>
<a name="line-516"></a><span class='hs-comment'>-- &gt;&gt;&gt; (42,Map.fromList [("goodnight","gracie")]) &amp; _2.at "hello" &lt;.~ Just "world"</span>
<a name="line-517"></a><span class='hs-comment'>-- (Just "world",(42,fromList [("goodnight","gracie"),("hello","world")]))</span>
<a name="line-518"></a><span class='hs-comment'>--</span>
<a name="line-519"></a><span class='hs-comment'>-- @</span>
<a name="line-520"></a><span class='hs-comment'>-- ('&lt;.~') :: 'Setter' s t a b    -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-521"></a><span class='hs-comment'>-- ('&lt;.~') :: 'Iso' s t a b       -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-522"></a><span class='hs-comment'>-- ('&lt;.~') :: 'Lens' s t a b      -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-523"></a><span class='hs-comment'>-- ('&lt;.~') :: 'Traversal' s t a b -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-524"></a><span class='hs-comment'>-- @</span>
<a name="line-525"></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'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-526"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;.~</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>set</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-527"></a><span class='hs-comment'>{-# INLINE (&lt;.~) #-}</span>
<a name="line-528"></a>
<a name="line-529"></a><a name="%3c?~"></a><span class='hs-comment'>-- | Set to 'Just' a value with pass-through.</span>
<a name="line-530"></a><span class='hs-comment'>--</span>
<a name="line-531"></a><span class='hs-comment'>-- This is mostly present for consistency, but may be useful for for chaining assignments.</span>
<a name="line-532"></a><span class='hs-comment'>--</span>
<a name="line-533"></a><span class='hs-comment'>-- If you do not need a copy of the intermediate result, then using @l '?~' d@ directly is a good idea.</span>
<a name="line-534"></a><span class='hs-comment'>--</span>
<a name="line-535"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Map as Map</span>
<a name="line-536"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2.at "hello" &lt;?~ "world" $ (42,Map.fromList [("goodnight","gracie")])</span>
<a name="line-537"></a><span class='hs-comment'>-- ("world",(42,fromList [("goodnight","gracie"),("hello","world")]))</span>
<a name="line-538"></a><span class='hs-comment'>--</span>
<a name="line-539"></a><span class='hs-comment'>-- @</span>
<a name="line-540"></a><span class='hs-comment'>-- ('&lt;?~') :: 'Setter' s t a ('Maybe' b)    -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-541"></a><span class='hs-comment'>-- ('&lt;?~') :: 'Iso' s t a ('Maybe' b)       -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-542"></a><span class='hs-comment'>-- ('&lt;?~') :: 'Lens' s t a ('Maybe' b)      -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-543"></a><span class='hs-comment'>-- ('&lt;?~') :: 'Traversal' s t a ('Maybe' b) -&gt; b -&gt; s -&gt; (b, t)</span>
<a name="line-544"></a><span class='hs-comment'>-- @</span>
<a name="line-545"></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'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</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'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-546"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;?~</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>set</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-547"></a><span class='hs-comment'>{-# INLINE (&lt;?~) #-}</span>
<a name="line-548"></a>
<a name="line-549"></a><a name="+~"></a><span class='hs-comment'>-- | Increment the target(s) of a numerically valued 'Lens', 'Setter' or 'Traversal'.</span>
<a name="line-550"></a><span class='hs-comment'>--</span>
<a name="line-551"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; _1 +~ c</span>
<a name="line-552"></a><span class='hs-comment'>-- (a + c,b)</span>
<a name="line-553"></a><span class='hs-comment'>--</span>
<a name="line-554"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both +~ c</span>
<a name="line-555"></a><span class='hs-comment'>-- (a + c,b + c)</span>
<a name="line-556"></a><span class='hs-comment'>--</span>
<a name="line-557"></a><span class='hs-comment'>-- &gt;&gt;&gt; (1,2) &amp; _2 +~ 1</span>
<a name="line-558"></a><span class='hs-comment'>-- (1,3)</span>
<a name="line-559"></a><span class='hs-comment'>--</span>
<a name="line-560"></a><span class='hs-comment'>-- &gt;&gt;&gt; [(a,b),(c,d)] &amp; traverse.both +~ e</span>
<a name="line-561"></a><span class='hs-comment'>-- [(a + e,b + e),(c + e,d + e)]</span>
<a name="line-562"></a><span class='hs-comment'>--</span>
<a name="line-563"></a><span class='hs-comment'>-- @</span>
<a name="line-564"></a><span class='hs-comment'>-- ('+~') :: 'Num' a =&gt; 'Setter'' s a    -&gt; a -&gt; s -&gt; s</span>
<a name="line-565"></a><span class='hs-comment'>-- ('+~') :: 'Num' a =&gt; 'Iso'' s a       -&gt; a -&gt; s -&gt; s</span>
<a name="line-566"></a><span class='hs-comment'>-- ('+~') :: 'Num' a =&gt; 'Lens'' s a      -&gt; a -&gt; s -&gt; s</span>
<a name="line-567"></a><span class='hs-comment'>-- ('+~') :: 'Num' a =&gt; 'Traversal'' s a -&gt; a -&gt; s -&gt; s</span>
<a name="line-568"></a><span class='hs-comment'>-- @</span>
<a name="line-569"></a><span class='hs-layout'>(</span><span class='hs-varop'>+~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-570"></a><span class='hs-definition'>l</span> <span class='hs-varop'>+~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>+</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-571"></a><span class='hs-comment'>{-# INLINE (+~) #-}</span>
<a name="line-572"></a>
<a name="line-573"></a><a name="*~"></a><span class='hs-comment'>-- | Multiply the target(s) of a numerically valued 'Lens', 'Iso', 'Setter' or 'Traversal'.</span>
<a name="line-574"></a><span class='hs-comment'>--</span>
<a name="line-575"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; _1 *~ c</span>
<a name="line-576"></a><span class='hs-comment'>-- (a * c,b)</span>
<a name="line-577"></a><span class='hs-comment'>--</span>
<a name="line-578"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both *~ c</span>
<a name="line-579"></a><span class='hs-comment'>-- (a * c,b * c)</span>
<a name="line-580"></a><span class='hs-comment'>--</span>
<a name="line-581"></a><span class='hs-comment'>-- &gt;&gt;&gt; (1,2) &amp; _2 *~ 4</span>
<a name="line-582"></a><span class='hs-comment'>-- (1,8)</span>
<a name="line-583"></a><span class='hs-comment'>--</span>
<a name="line-584"></a><span class='hs-comment'>-- &gt;&gt;&gt; Just 24 &amp; mapped *~ 2</span>
<a name="line-585"></a><span class='hs-comment'>-- Just 48</span>
<a name="line-586"></a><span class='hs-comment'>--</span>
<a name="line-587"></a><span class='hs-comment'>-- @</span>
<a name="line-588"></a><span class='hs-comment'>-- ('*~') :: 'Num' a =&gt; 'Setter'' s a    -&gt; a -&gt; s -&gt; s</span>
<a name="line-589"></a><span class='hs-comment'>-- ('*~') :: 'Num' a =&gt; 'Iso'' s a       -&gt; a -&gt; s -&gt; s</span>
<a name="line-590"></a><span class='hs-comment'>-- ('*~') :: 'Num' a =&gt; 'Lens'' s a      -&gt; a -&gt; s -&gt; s</span>
<a name="line-591"></a><span class='hs-comment'>-- ('*~') :: 'Num' a =&gt; 'Traversal'' s a -&gt; a -&gt; s -&gt; s</span>
<a name="line-592"></a><span class='hs-comment'>-- @</span>
<a name="line-593"></a><span class='hs-layout'>(</span><span class='hs-varop'>*~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-594"></a><span class='hs-definition'>l</span> <span class='hs-varop'>*~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>*</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-595"></a><span class='hs-comment'>{-# INLINE (*~) #-}</span>
<a name="line-596"></a>
<a name="line-597"></a><a name="-~"></a><span class='hs-comment'>-- | Decrement the target(s) of a numerically valued 'Lens', 'Iso', 'Setter' or 'Traversal'.</span>
<a name="line-598"></a><span class='hs-comment'>--</span>
<a name="line-599"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; _1 -~ c</span>
<a name="line-600"></a><span class='hs-comment'>-- (a - c,b)</span>
<a name="line-601"></a><span class='hs-comment'>--</span>
<a name="line-602"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both -~ c</span>
<a name="line-603"></a><span class='hs-comment'>-- (a - c,b - c)</span>
<a name="line-604"></a><span class='hs-comment'>--</span>
<a name="line-605"></a><span class='hs-comment'>-- &gt;&gt;&gt; _1 -~ 2 $ (1,2)</span>
<a name="line-606"></a><span class='hs-comment'>-- (-1,2)</span>
<a name="line-607"></a><span class='hs-comment'>--</span>
<a name="line-608"></a><span class='hs-comment'>-- &gt;&gt;&gt; mapped.mapped -~ 1 $ [[4,5],[6,7]]</span>
<a name="line-609"></a><span class='hs-comment'>-- [[3,4],[5,6]]</span>
<a name="line-610"></a><span class='hs-comment'>--</span>
<a name="line-611"></a><span class='hs-comment'>-- @</span>
<a name="line-612"></a><span class='hs-comment'>-- ('-~') :: 'Num' a =&gt; 'Setter'' s a    -&gt; a -&gt; s -&gt; s</span>
<a name="line-613"></a><span class='hs-comment'>-- ('-~') :: 'Num' a =&gt; 'Iso'' s a       -&gt; a -&gt; s -&gt; s</span>
<a name="line-614"></a><span class='hs-comment'>-- ('-~') :: 'Num' a =&gt; 'Lens'' s a      -&gt; a -&gt; s -&gt; s</span>
<a name="line-615"></a><span class='hs-comment'>-- ('-~') :: 'Num' a =&gt; 'Traversal'' s a -&gt; a -&gt; s -&gt; s</span>
<a name="line-616"></a><span class='hs-comment'>-- @</span>
<a name="line-617"></a><span class='hs-layout'>(</span><span class='hs-varop'>-~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-618"></a><span class='hs-definition'>l</span> <span class='hs-varop'>-~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varid'>subtract</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-619"></a><span class='hs-comment'>{-# INLINE (-~) #-}</span>
<a name="line-620"></a>
<a name="line-621"></a><a name="//~"></a><span class='hs-comment'>-- | Divide the target(s) of a numerically valued 'Lens', 'Iso', 'Setter' or 'Traversal'.</span>
<a name="line-622"></a><span class='hs-comment'>--</span>
<a name="line-623"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; _1 //~ c</span>
<a name="line-624"></a><span class='hs-comment'>-- (a / c,b)</span>
<a name="line-625"></a><span class='hs-comment'>--</span>
<a name="line-626"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both //~ c</span>
<a name="line-627"></a><span class='hs-comment'>-- (a / c,b / c)</span>
<a name="line-628"></a><span class='hs-comment'>--</span>
<a name="line-629"></a><span class='hs-comment'>-- &gt;&gt;&gt; ("Hawaii",10) &amp; _2 //~ 2</span>
<a name="line-630"></a><span class='hs-comment'>-- ("Hawaii",5.0)</span>
<a name="line-631"></a><span class='hs-comment'>--</span>
<a name="line-632"></a><span class='hs-comment'>-- @</span>
<a name="line-633"></a><span class='hs-comment'>-- ('//~') :: 'Fractional' a =&gt; 'Setter'' s a    -&gt; a -&gt; s -&gt; s</span>
<a name="line-634"></a><span class='hs-comment'>-- ('//~') :: 'Fractional' a =&gt; 'Iso'' s a       -&gt; a -&gt; s -&gt; s</span>
<a name="line-635"></a><span class='hs-comment'>-- ('//~') :: 'Fractional' a =&gt; 'Lens'' s a      -&gt; a -&gt; s -&gt; s</span>
<a name="line-636"></a><span class='hs-comment'>-- ('//~') :: 'Fractional' a =&gt; 'Traversal'' s a -&gt; a -&gt; s -&gt; s</span>
<a name="line-637"></a><span class='hs-comment'>-- @</span>
<a name="line-638"></a><span class='hs-layout'>(</span><span class='hs-varop'>//~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-639"></a><span class='hs-definition'>l</span> <span class='hs-varop'>//~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>/</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-640"></a><span class='hs-comment'>{-# INLINE (//~) #-}</span>
<a name="line-641"></a>
<a name="line-642"></a><a name="%5e~"></a><span class='hs-comment'>-- | Raise the target(s) of a numerically valued 'Lens', 'Setter' or 'Traversal' to a non-negative integral power.</span>
<a name="line-643"></a><span class='hs-comment'>--</span>
<a name="line-644"></a><span class='hs-comment'>-- &gt;&gt;&gt; (1,3) &amp; _2 ^~ 2</span>
<a name="line-645"></a><span class='hs-comment'>-- (1,9)</span>
<a name="line-646"></a><span class='hs-comment'>--</span>
<a name="line-647"></a><span class='hs-comment'>-- @</span>
<a name="line-648"></a><span class='hs-comment'>-- ('^~') :: ('Num' a, 'Integral' e) =&gt; 'Setter'' s a    -&gt; e -&gt; s -&gt; s</span>
<a name="line-649"></a><span class='hs-comment'>-- ('^~') :: ('Num' a, 'Integral' e) =&gt; 'Iso'' s a       -&gt; e -&gt; s -&gt; s</span>
<a name="line-650"></a><span class='hs-comment'>-- ('^~') :: ('Num' a, 'Integral' e) =&gt; 'Lens'' s a      -&gt; e -&gt; s -&gt; s</span>
<a name="line-651"></a><span class='hs-comment'>-- ('^~') :: ('Num' a, 'Integral' e) =&gt; 'Traversal'' s a -&gt; e -&gt; s -&gt; s</span>
<a name="line-652"></a><span class='hs-comment'>-- @</span>
<a name="line-653"></a><span class='hs-layout'>(</span><span class='hs-varop'>^~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Integral</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-654"></a><span class='hs-definition'>l</span> <span class='hs-varop'>^~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>^</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-655"></a><span class='hs-comment'>{-# INLINE (^~) #-}</span>
<a name="line-656"></a>
<a name="line-657"></a><a name="%5e%5e~"></a><span class='hs-comment'>-- | Raise the target(s) of a fractionally valued 'Lens', 'Setter' or 'Traversal' to an integral power.</span>
<a name="line-658"></a><span class='hs-comment'>--</span>
<a name="line-659"></a><span class='hs-comment'>-- &gt;&gt;&gt; (1,2) &amp; _2 ^^~ (-1)</span>
<a name="line-660"></a><span class='hs-comment'>-- (1,0.5)</span>
<a name="line-661"></a><span class='hs-comment'>--</span>
<a name="line-662"></a><span class='hs-comment'>-- @</span>
<a name="line-663"></a><span class='hs-comment'>-- ('^^~') :: ('Fractional' a, 'Integral' e) =&gt; 'Setter'' s a    -&gt; e -&gt; s -&gt; s</span>
<a name="line-664"></a><span class='hs-comment'>-- ('^^~') :: ('Fractional' a, 'Integral' e) =&gt; 'Iso'' s a       -&gt; e -&gt; s -&gt; s</span>
<a name="line-665"></a><span class='hs-comment'>-- ('^^~') :: ('Fractional' a, 'Integral' e) =&gt; 'Lens'' s a      -&gt; e -&gt; s -&gt; s</span>
<a name="line-666"></a><span class='hs-comment'>-- ('^^~') :: ('Fractional' a, 'Integral' e) =&gt; 'Traversal'' s a -&gt; e -&gt; s -&gt; s</span>
<a name="line-667"></a><span class='hs-comment'>-- @</span>
<a name="line-668"></a><span class='hs-comment'>--</span>
<a name="line-669"></a><span class='hs-layout'>(</span><span class='hs-varop'>^^~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Integral</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-670"></a><span class='hs-definition'>l</span> <span class='hs-varop'>^^~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>^^</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-671"></a><span class='hs-comment'>{-# INLINE (^^~) #-}</span>
<a name="line-672"></a>
<a name="line-673"></a><a name="**~"></a><span class='hs-comment'>-- | Raise the target(s) of a floating-point valued 'Lens', 'Setter' or 'Traversal' to an arbitrary power.</span>
<a name="line-674"></a><span class='hs-comment'>--</span>
<a name="line-675"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; _1 **~ c</span>
<a name="line-676"></a><span class='hs-comment'>-- (a**c,b)</span>
<a name="line-677"></a><span class='hs-comment'>--</span>
<a name="line-678"></a><span class='hs-comment'>-- &gt;&gt;&gt; (a,b) &amp; both **~ c</span>
<a name="line-679"></a><span class='hs-comment'>-- (a**c,b**c)</span>
<a name="line-680"></a><span class='hs-comment'>--</span>
<a name="line-681"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2 **~ 10 $ (3,2)</span>
<a name="line-682"></a><span class='hs-comment'>-- (3,1024.0)</span>
<a name="line-683"></a><span class='hs-comment'>--</span>
<a name="line-684"></a><span class='hs-comment'>-- @</span>
<a name="line-685"></a><span class='hs-comment'>-- ('**~') :: 'Floating' a =&gt; 'Setter'' s a    -&gt; a -&gt; s -&gt; s</span>
<a name="line-686"></a><span class='hs-comment'>-- ('**~') :: 'Floating' a =&gt; 'Iso'' s a       -&gt; a -&gt; s -&gt; s</span>
<a name="line-687"></a><span class='hs-comment'>-- ('**~') :: 'Floating' a =&gt; 'Lens'' s a      -&gt; a -&gt; s -&gt; s</span>
<a name="line-688"></a><span class='hs-comment'>-- ('**~') :: 'Floating' a =&gt; 'Traversal'' s a -&gt; a -&gt; s -&gt; s</span>
<a name="line-689"></a><span class='hs-comment'>-- @</span>
<a name="line-690"></a><span class='hs-layout'>(</span><span class='hs-varop'>**~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Floating</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-691"></a><span class='hs-definition'>l</span> <span class='hs-varop'>**~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>**</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-692"></a><span class='hs-comment'>{-# INLINE (**~) #-}</span>
<a name="line-693"></a>
<a name="line-694"></a><a name="%7c%7c~"></a><span class='hs-comment'>-- | Logically '||' the target(s) of a 'Bool'-valued 'Lens' or 'Setter'.</span>
<a name="line-695"></a><span class='hs-comment'>--</span>
<a name="line-696"></a><span class='hs-comment'>-- &gt;&gt;&gt; both ||~ True $ (False,True)</span>
<a name="line-697"></a><span class='hs-comment'>-- (True,True)</span>
<a name="line-698"></a><span class='hs-comment'>--</span>
<a name="line-699"></a><span class='hs-comment'>-- &gt;&gt;&gt; both ||~ False $ (False,True)</span>
<a name="line-700"></a><span class='hs-comment'>-- (False,True)</span>
<a name="line-701"></a><span class='hs-comment'>--</span>
<a name="line-702"></a><span class='hs-comment'>-- @</span>
<a name="line-703"></a><span class='hs-comment'>-- ('||~') :: 'Setter'' s 'Bool'    -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-704"></a><span class='hs-comment'>-- ('||~') :: 'Iso'' s 'Bool'       -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-705"></a><span class='hs-comment'>-- ('||~') :: 'Lens'' s 'Bool'      -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-706"></a><span class='hs-comment'>-- ('||~') :: 'Traversal'' s 'Bool' -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-707"></a><span class='hs-comment'>-- @</span>
<a name="line-708"></a><span class='hs-layout'>(</span><span class='hs-varop'>||~</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-conid'>Bool</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-709"></a><span class='hs-definition'>l</span> <span class='hs-varop'>||~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>||</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-710"></a><span class='hs-comment'>{-# INLINE (||~) #-}</span>
<a name="line-711"></a>
<a name="line-712"></a><a name="&&~"></a><span class='hs-comment'>-- | Logically '&amp;&amp;' the target(s) of a 'Bool'-valued 'Lens' or 'Setter'.</span>
<a name="line-713"></a><span class='hs-comment'>--</span>
<a name="line-714"></a><span class='hs-comment'>-- &gt;&gt;&gt; both &amp;&amp;~ True $ (False, True)</span>
<a name="line-715"></a><span class='hs-comment'>-- (False,True)</span>
<a name="line-716"></a><span class='hs-comment'>--</span>
<a name="line-717"></a><span class='hs-comment'>-- &gt;&gt;&gt; both &amp;&amp;~ False $ (False, True)</span>
<a name="line-718"></a><span class='hs-comment'>-- (False,False)</span>
<a name="line-719"></a><span class='hs-comment'>--</span>
<a name="line-720"></a><span class='hs-comment'>-- @</span>
<a name="line-721"></a><span class='hs-comment'>-- ('&amp;&amp;~') :: 'Setter'' s 'Bool'    -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-722"></a><span class='hs-comment'>-- ('&amp;&amp;~') :: 'Iso'' s 'Bool'       -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-723"></a><span class='hs-comment'>-- ('&amp;&amp;~') :: 'Lens'' s 'Bool'      -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-724"></a><span class='hs-comment'>-- ('&amp;&amp;~') :: 'Traversal'' s 'Bool' -&gt; 'Bool' -&gt; s -&gt; s</span>
<a name="line-725"></a><span class='hs-comment'>-- @</span>
<a name="line-726"></a><span class='hs-layout'>(</span><span class='hs-varop'>&amp;&amp;~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-conid'>Bool</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-727"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&amp;&amp;~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>&amp;&amp;</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-728"></a><span class='hs-comment'>{-# INLINE (&amp;&amp;~) #-}</span>
<a name="line-729"></a>
<a name="line-730"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-731"></a><span class='hs-comment'>-- Using Setters with State</span>
<a name="line-732"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-733"></a>
<a name="line-734"></a><a name="assign"></a><span class='hs-comment'>-- | Replace the target of a 'Lens' or all of the targets of a 'Setter' or 'Traversal' in our monadic</span>
<a name="line-735"></a><span class='hs-comment'>-- state with a new value, irrespective of the old.</span>
<a name="line-736"></a><span class='hs-comment'>--</span>
<a name="line-737"></a><span class='hs-comment'>-- This is an alias for ('.=').</span>
<a name="line-738"></a><span class='hs-comment'>--</span>
<a name="line-739"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do assign _1 c; assign _2 d) (a,b)</span>
<a name="line-740"></a><span class='hs-comment'>-- (c,d)</span>
<a name="line-741"></a><span class='hs-comment'>--</span>
<a name="line-742"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (both .= c) (a,b)</span>
<a name="line-743"></a><span class='hs-comment'>-- (c,c)</span>
<a name="line-744"></a><span class='hs-comment'>--</span>
<a name="line-745"></a><span class='hs-comment'>-- @</span>
<a name="line-746"></a><span class='hs-comment'>-- 'assign' :: 'MonadState' s m =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-747"></a><span class='hs-comment'>-- 'assign' :: 'MonadState' s m =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-748"></a><span class='hs-comment'>-- 'assign' :: 'MonadState' s m =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-749"></a><span class='hs-comment'>-- 'assign' :: 'MonadState' s m =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-750"></a><span class='hs-comment'>-- @</span>
<a name="line-751"></a><span class='hs-definition'>assign</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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-conid'>()</span>
<a name="line-752"></a><span class='hs-definition'>assign</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>set</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-753"></a><span class='hs-comment'>{-# INLINE assign #-}</span>
<a name="line-754"></a>
<a name="line-755"></a><a name=".="></a><span class='hs-comment'>-- | Replace the target of a 'Lens' or all of the targets of a 'Setter'</span>
<a name="line-756"></a><span class='hs-comment'>-- or 'Traversal' in our monadic state with a new value, irrespective of the</span>
<a name="line-757"></a><span class='hs-comment'>-- old.</span>
<a name="line-758"></a><span class='hs-comment'>--</span>
<a name="line-759"></a><span class='hs-comment'>-- This is an infix version of 'assign'.</span>
<a name="line-760"></a><span class='hs-comment'>--</span>
<a name="line-761"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 .= c; _2 .= d) (a,b)</span>
<a name="line-762"></a><span class='hs-comment'>-- (c,d)</span>
<a name="line-763"></a><span class='hs-comment'>--</span>
<a name="line-764"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (both .= c) (a,b)</span>
<a name="line-765"></a><span class='hs-comment'>-- (c,c)</span>
<a name="line-766"></a><span class='hs-comment'>--</span>
<a name="line-767"></a><span class='hs-comment'>-- @</span>
<a name="line-768"></a><span class='hs-comment'>-- ('.=') :: 'MonadState' s m =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-769"></a><span class='hs-comment'>-- ('.=') :: 'MonadState' s m =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-770"></a><span class='hs-comment'>-- ('.=') :: 'MonadState' s m =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-771"></a><span class='hs-comment'>-- ('.=') :: 'MonadState' s m =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-772"></a><span class='hs-comment'>-- @</span>
<a name="line-773"></a><span class='hs-comment'>--</span>
<a name="line-774"></a><span class='hs-comment'>-- /It puts the state in the monad or it gets the hose again./</span>
<a name="line-775"></a><span class='hs-layout'>(</span><span class='hs-varop'>.=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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-conid'>()</span>
<a name="line-776"></a><span class='hs-definition'>l</span> <span class='hs-varop'>.=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>.~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-777"></a><span class='hs-comment'>{-# INLINE (.=) #-}</span>
<a name="line-778"></a>
<a name="line-779"></a><a name="%25="></a><span class='hs-comment'>-- | Map over the target of a 'Lens' or all of the targets of a 'Setter' or 'Traversal' in our monadic state.</span>
<a name="line-780"></a><span class='hs-comment'>--</span>
<a name="line-781"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 %= f;_2 %= g) (a,b)</span>
<a name="line-782"></a><span class='hs-comment'>-- (f a,g b)</span>
<a name="line-783"></a><span class='hs-comment'>--</span>
<a name="line-784"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do both %= f) (a,b)</span>
<a name="line-785"></a><span class='hs-comment'>-- (f a,f b)</span>
<a name="line-786"></a><span class='hs-comment'>--</span>
<a name="line-787"></a><span class='hs-comment'>-- @</span>
<a name="line-788"></a><span class='hs-comment'>-- ('%=') :: 'MonadState' s m =&gt; 'Iso'' s a       -&gt; (a -&gt; a) -&gt; m ()</span>
<a name="line-789"></a><span class='hs-comment'>-- ('%=') :: 'MonadState' s m =&gt; 'Lens'' s a      -&gt; (a -&gt; a) -&gt; m ()</span>
<a name="line-790"></a><span class='hs-comment'>-- ('%=') :: 'MonadState' s m =&gt; 'Traversal'' s a -&gt; (a -&gt; a) -&gt; m ()</span>
<a name="line-791"></a><span class='hs-comment'>-- ('%=') :: 'MonadState' s m =&gt; 'Setter'' s a    -&gt; (a -&gt; a) -&gt; m ()</span>
<a name="line-792"></a><span class='hs-comment'>-- @</span>
<a name="line-793"></a><span class='hs-comment'>--</span>
<a name="line-794"></a><span class='hs-comment'>-- @</span>
<a name="line-795"></a><span class='hs-comment'>-- ('%=') :: 'MonadState' s m =&gt; 'ASetter' s s a b -&gt; (a -&gt; b) -&gt; m ()</span>
<a name="line-796"></a><span class='hs-comment'>-- @</span>
<a name="line-797"></a><span class='hs-layout'>(</span><span class='hs-varop'>%=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-798"></a><span class='hs-definition'>l</span> <span class='hs-varop'>%=</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>%~</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-799"></a><span class='hs-comment'>{-# INLINE (%=) #-}</span>
<a name="line-800"></a>
<a name="line-801"></a><a name="modifying"></a><span class='hs-comment'>-- | This is an alias for ('%=').</span>
<a name="line-802"></a><span class='hs-definition'>modifying</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-803"></a><span class='hs-definition'>modifying</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-804"></a><span class='hs-comment'>{-# INLINE modifying #-}</span>
<a name="line-805"></a>
<a name="line-806"></a><a name="?="></a><span class='hs-comment'>-- | Replace the target of a 'Lens' or all of the targets of a 'Setter' or 'Traversal' in our monadic</span>
<a name="line-807"></a><span class='hs-comment'>-- state with 'Just' a new value, irrespective of the old.</span>
<a name="line-808"></a><span class='hs-comment'>--</span>
<a name="line-809"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do at 1 ?= a; at 2 ?= b) Map.empty</span>
<a name="line-810"></a><span class='hs-comment'>-- fromList [(1,a),(2,b)]</span>
<a name="line-811"></a><span class='hs-comment'>--</span>
<a name="line-812"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 ?= b; _2 ?= c) (Just a, Nothing)</span>
<a name="line-813"></a><span class='hs-comment'>-- (Just b,Just c)</span>
<a name="line-814"></a><span class='hs-comment'>--</span>
<a name="line-815"></a><span class='hs-comment'>-- @</span>
<a name="line-816"></a><span class='hs-comment'>-- ('?=') :: 'MonadState' s m =&gt; 'Iso'' s ('Maybe' a)       -&gt; a -&gt; m ()</span>
<a name="line-817"></a><span class='hs-comment'>-- ('?=') :: 'MonadState' s m =&gt; 'Lens'' s ('Maybe' a)      -&gt; a -&gt; m ()</span>
<a name="line-818"></a><span class='hs-comment'>-- ('?=') :: 'MonadState' s m =&gt; 'Traversal'' s ('Maybe' a) -&gt; a -&gt; m ()</span>
<a name="line-819"></a><span class='hs-comment'>-- ('?=') :: 'MonadState' s m =&gt; 'Setter'' s ('Maybe' a)    -&gt; a -&gt; m ()</span>
<a name="line-820"></a><span class='hs-comment'>-- @</span>
<a name="line-821"></a><span class='hs-layout'>(</span><span class='hs-varop'>?=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</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'>m</span> <span class='hs-conid'>()</span>
<a name="line-822"></a><span class='hs-definition'>l</span> <span class='hs-varop'>?=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>?~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-823"></a><span class='hs-comment'>{-# INLINE (?=) #-}</span>
<a name="line-824"></a>
<a name="line-825"></a><a name="+="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso', 'Setter' or 'Traversal' by adding a value.</span>
<a name="line-826"></a><span class='hs-comment'>--</span>
<a name="line-827"></a><span class='hs-comment'>-- Example:</span>
<a name="line-828"></a><span class='hs-comment'>--</span>
<a name="line-829"></a><span class='hs-comment'>-- @</span>
<a name="line-830"></a><span class='hs-comment'>-- 'fresh' :: 'MonadState' 'Int' m =&gt; m 'Int'</span>
<a name="line-831"></a><span class='hs-comment'>-- 'fresh' = do</span>
<a name="line-832"></a><span class='hs-comment'>--   'id' '+=' 1</span>
<a name="line-833"></a><span class='hs-comment'>--   'Control.Lens.Getter.use' 'id'</span>
<a name="line-834"></a><span class='hs-comment'>-- @</span>
<a name="line-835"></a><span class='hs-comment'>--</span>
<a name="line-836"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 += c; _2 += d) (a,b)</span>
<a name="line-837"></a><span class='hs-comment'>-- (a + c,b + d)</span>
<a name="line-838"></a><span class='hs-comment'>--</span>
<a name="line-839"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1.at 1.non 0 += 10) (Map.fromList [(2,100)],"hello")</span>
<a name="line-840"></a><span class='hs-comment'>-- (fromList [(1,10),(2,100)],"hello")</span>
<a name="line-841"></a><span class='hs-comment'>--</span>
<a name="line-842"></a><span class='hs-comment'>-- @</span>
<a name="line-843"></a><span class='hs-comment'>-- ('+=') :: ('MonadState' s m, 'Num' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-844"></a><span class='hs-comment'>-- ('+=') :: ('MonadState' s m, 'Num' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-845"></a><span class='hs-comment'>-- ('+=') :: ('MonadState' s m, 'Num' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-846"></a><span class='hs-comment'>-- ('+=') :: ('MonadState' s m, 'Num' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-847"></a><span class='hs-comment'>-- @</span>
<a name="line-848"></a><span class='hs-layout'>(</span><span class='hs-varop'>+=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-849"></a><span class='hs-definition'>l</span> <span class='hs-varop'>+=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>+~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-850"></a><span class='hs-comment'>{-# INLINE (+=) #-}</span>
<a name="line-851"></a>
<a name="line-852"></a><a name="-="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso', 'Setter' or 'Traversal' by subtracting a value.</span>
<a name="line-853"></a><span class='hs-comment'>--</span>
<a name="line-854"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 -= c; _2 -= d) (a,b)</span>
<a name="line-855"></a><span class='hs-comment'>-- (a - c,b - d)</span>
<a name="line-856"></a><span class='hs-comment'>--</span>
<a name="line-857"></a><span class='hs-comment'>-- @</span>
<a name="line-858"></a><span class='hs-comment'>-- ('-=') :: ('MonadState' s m, 'Num' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-859"></a><span class='hs-comment'>-- ('-=') :: ('MonadState' s m, 'Num' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-860"></a><span class='hs-comment'>-- ('-=') :: ('MonadState' s m, 'Num' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-861"></a><span class='hs-comment'>-- ('-=') :: ('MonadState' s m, 'Num' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-862"></a><span class='hs-comment'>-- @</span>
<a name="line-863"></a><span class='hs-layout'>(</span><span class='hs-varop'>-=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-864"></a><span class='hs-definition'>l</span> <span class='hs-varop'>-=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>-~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-865"></a><span class='hs-comment'>{-# INLINE (-=) #-}</span>
<a name="line-866"></a>
<a name="line-867"></a><a name="*="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso', 'Setter' or 'Traversal' by multiplying by value.</span>
<a name="line-868"></a><span class='hs-comment'>--</span>
<a name="line-869"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 *= c; _2 *= d) (a,b)</span>
<a name="line-870"></a><span class='hs-comment'>-- (a * c,b * d)</span>
<a name="line-871"></a><span class='hs-comment'>--</span>
<a name="line-872"></a><span class='hs-comment'>-- @</span>
<a name="line-873"></a><span class='hs-comment'>-- ('*=') :: ('MonadState' s m, 'Num' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-874"></a><span class='hs-comment'>-- ('*=') :: ('MonadState' s m, 'Num' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-875"></a><span class='hs-comment'>-- ('*=') :: ('MonadState' s m, 'Num' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-876"></a><span class='hs-comment'>-- ('*=') :: ('MonadState' s m, 'Num' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-877"></a><span class='hs-comment'>-- @</span>
<a name="line-878"></a><span class='hs-layout'>(</span><span class='hs-varop'>*=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-879"></a><span class='hs-definition'>l</span> <span class='hs-varop'>*=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>*~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-880"></a><span class='hs-comment'>{-# INLINE (*=) #-}</span>
<a name="line-881"></a>
<a name="line-882"></a><a name="//="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso', 'Setter' or 'Traversal' by dividing by a value.</span>
<a name="line-883"></a><span class='hs-comment'>--</span>
<a name="line-884"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 //= c; _2 //= d) (a,b)</span>
<a name="line-885"></a><span class='hs-comment'>-- (a / c,b / d)</span>
<a name="line-886"></a><span class='hs-comment'>--</span>
<a name="line-887"></a><span class='hs-comment'>-- @</span>
<a name="line-888"></a><span class='hs-comment'>-- ('//=') :: ('MonadState' s m, 'Fractional' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-889"></a><span class='hs-comment'>-- ('//=') :: ('MonadState' s m, 'Fractional' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-890"></a><span class='hs-comment'>-- ('//=') :: ('MonadState' s m, 'Fractional' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-891"></a><span class='hs-comment'>-- ('//=') :: ('MonadState' s m, 'Fractional' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-892"></a><span class='hs-comment'>-- @</span>
<a name="line-893"></a><span class='hs-layout'>(</span><span class='hs-varop'>//=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-894"></a><span class='hs-definition'>l</span> <span class='hs-varop'>//=</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>//~</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-895"></a><span class='hs-comment'>{-# INLINE (//=) #-}</span>
<a name="line-896"></a>
<a name="line-897"></a><a name="%5e="></a><span class='hs-comment'>-- | Raise the target(s) of a numerically valued 'Lens', 'Setter' or 'Traversal' to a non-negative integral power.</span>
<a name="line-898"></a><span class='hs-comment'>--</span>
<a name="line-899"></a><span class='hs-comment'>-- @</span>
<a name="line-900"></a><span class='hs-comment'>-- ('^=') ::  ('MonadState' s m, 'Num' a, 'Integral' e) =&gt; 'Setter'' s a    -&gt; e -&gt; m ()</span>
<a name="line-901"></a><span class='hs-comment'>-- ('^=') ::  ('MonadState' s m, 'Num' a, 'Integral' e) =&gt; 'Iso'' s a       -&gt; e -&gt; m ()</span>
<a name="line-902"></a><span class='hs-comment'>-- ('^=') ::  ('MonadState' s m, 'Num' a, 'Integral' e) =&gt; 'Lens'' s a      -&gt; e -&gt; m ()</span>
<a name="line-903"></a><span class='hs-comment'>-- ('^=') ::  ('MonadState' s m, 'Num' a, 'Integral' e) =&gt; 'Traversal'' s a -&gt; e -&gt; m ()</span>
<a name="line-904"></a><span class='hs-comment'>-- @</span>
<a name="line-905"></a><span class='hs-layout'>(</span><span class='hs-varop'>^=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Integral</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-906"></a><span class='hs-definition'>l</span> <span class='hs-varop'>^=</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>^~</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-907"></a><span class='hs-comment'>{-# INLINE (^=) #-}</span>
<a name="line-908"></a>
<a name="line-909"></a><a name="%5e%5e="></a><span class='hs-comment'>-- | Raise the target(s) of a numerically valued 'Lens', 'Setter' or 'Traversal' to an integral power.</span>
<a name="line-910"></a><span class='hs-comment'>--</span>
<a name="line-911"></a><span class='hs-comment'>-- @</span>
<a name="line-912"></a><span class='hs-comment'>-- ('^^=') ::  ('MonadState' s m, 'Fractional' a, 'Integral' e) =&gt; 'Setter'' s a    -&gt; e -&gt; m ()</span>
<a name="line-913"></a><span class='hs-comment'>-- ('^^=') ::  ('MonadState' s m, 'Fractional' a, 'Integral' e) =&gt; 'Iso'' s a       -&gt; e -&gt; m ()</span>
<a name="line-914"></a><span class='hs-comment'>-- ('^^=') ::  ('MonadState' s m, 'Fractional' a, 'Integral' e) =&gt; 'Lens'' s a      -&gt; e -&gt; m ()</span>
<a name="line-915"></a><span class='hs-comment'>-- ('^^=') ::  ('MonadState' s m, 'Fractional' a, 'Integral' e) =&gt; 'Traversal'' s a -&gt; e -&gt; m ()</span>
<a name="line-916"></a><span class='hs-comment'>-- @</span>
<a name="line-917"></a><span class='hs-layout'>(</span><span class='hs-varop'>^^=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Integral</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-918"></a><span class='hs-definition'>l</span> <span class='hs-varop'>^^=</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>^^~</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-919"></a><span class='hs-comment'>{-# INLINE (^^=) #-}</span>
<a name="line-920"></a>
<a name="line-921"></a><a name="**="></a><span class='hs-comment'>-- | Raise the target(s) of a numerically valued 'Lens', 'Setter' or 'Traversal' to an arbitrary power</span>
<a name="line-922"></a><span class='hs-comment'>--</span>
<a name="line-923"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 **= c; _2 **= d) (a,b)</span>
<a name="line-924"></a><span class='hs-comment'>-- (a**c,b**d)</span>
<a name="line-925"></a><span class='hs-comment'>--</span>
<a name="line-926"></a><span class='hs-comment'>-- @</span>
<a name="line-927"></a><span class='hs-comment'>-- ('**=') ::  ('MonadState' s m, 'Floating' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-928"></a><span class='hs-comment'>-- ('**=') ::  ('MonadState' s m, 'Floating' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-929"></a><span class='hs-comment'>-- ('**=') ::  ('MonadState' s m, 'Floating' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-930"></a><span class='hs-comment'>-- ('**=') ::  ('MonadState' s m, 'Floating' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-931"></a><span class='hs-comment'>-- @</span>
<a name="line-932"></a><span class='hs-layout'>(</span><span class='hs-varop'>**=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Floating</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-933"></a><span class='hs-definition'>l</span> <span class='hs-varop'>**=</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>**~</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-934"></a><span class='hs-comment'>{-# INLINE (**=) #-}</span>
<a name="line-935"></a>
<a name="line-936"></a><a name="&&="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso', 'Setter' or 'Traversal' by taking their logical '&amp;&amp;' with a value.</span>
<a name="line-937"></a><span class='hs-comment'>--</span>
<a name="line-938"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 &amp;&amp;= True; _2 &amp;&amp;= False; _3 &amp;&amp;= True; _4 &amp;&amp;= False) (True,True,False,False)</span>
<a name="line-939"></a><span class='hs-comment'>-- (True,False,False,False)</span>
<a name="line-940"></a><span class='hs-comment'>--</span>
<a name="line-941"></a><span class='hs-comment'>-- @</span>
<a name="line-942"></a><span class='hs-comment'>-- ('&amp;&amp;=') :: 'MonadState' s m =&gt; 'Setter'' s 'Bool'    -&gt; 'Bool' -&gt; m ()</span>
<a name="line-943"></a><span class='hs-comment'>-- ('&amp;&amp;=') :: 'MonadState' s m =&gt; 'Iso'' s 'Bool'       -&gt; 'Bool' -&gt; m ()</span>
<a name="line-944"></a><span class='hs-comment'>-- ('&amp;&amp;=') :: 'MonadState' s m =&gt; 'Lens'' s 'Bool'      -&gt; 'Bool' -&gt; m ()</span>
<a name="line-945"></a><span class='hs-comment'>-- ('&amp;&amp;=') :: 'MonadState' s m =&gt; 'Traversal'' s 'Bool' -&gt; 'Bool' -&gt; m ()</span>
<a name="line-946"></a><span class='hs-comment'>-- @</span>
<a name="line-947"></a><span class='hs-layout'>(</span><span class='hs-varop'>&amp;&amp;=</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-948"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&amp;&amp;=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>&amp;&amp;~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-949"></a><span class='hs-comment'>{-# INLINE (&amp;&amp;=) #-}</span>
<a name="line-950"></a>
<a name="line-951"></a><a name="%7c%7c="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso, 'Setter' or 'Traversal' by taking their logical '||' with a value.</span>
<a name="line-952"></a><span class='hs-comment'>--</span>
<a name="line-953"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 ||= True; _2 ||= False; _3 ||= True; _4 ||= False) (True,True,False,False)</span>
<a name="line-954"></a><span class='hs-comment'>-- (True,True,True,False)</span>
<a name="line-955"></a><span class='hs-comment'>--</span>
<a name="line-956"></a><span class='hs-comment'>-- @</span>
<a name="line-957"></a><span class='hs-comment'>-- ('||=') :: 'MonadState' s m =&gt; 'Setter'' s 'Bool'    -&gt; 'Bool' -&gt; m ()</span>
<a name="line-958"></a><span class='hs-comment'>-- ('||=') :: 'MonadState' s m =&gt; 'Iso'' s 'Bool'       -&gt; 'Bool' -&gt; m ()</span>
<a name="line-959"></a><span class='hs-comment'>-- ('||=') :: 'MonadState' s m =&gt; 'Lens'' s 'Bool'      -&gt; 'Bool' -&gt; m ()</span>
<a name="line-960"></a><span class='hs-comment'>-- ('||=') :: 'MonadState' s m =&gt; 'Traversal'' s 'Bool' -&gt; 'Bool' -&gt; m ()</span>
<a name="line-961"></a><span class='hs-comment'>-- @</span>
<a name="line-962"></a><span class='hs-layout'>(</span><span class='hs-varop'>||=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-963"></a><span class='hs-definition'>l</span> <span class='hs-varop'>||=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>||~</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-964"></a><span class='hs-comment'>{-# INLINE (||=) #-}</span>
<a name="line-965"></a>
<a name="line-966"></a><a name="%3c~"></a><span class='hs-comment'>-- | Run a monadic action, and set all of the targets of a 'Lens', 'Setter' or 'Traversal' to its result.</span>
<a name="line-967"></a><span class='hs-comment'>--</span>
<a name="line-968"></a><span class='hs-comment'>-- @</span>
<a name="line-969"></a><span class='hs-comment'>-- ('&lt;~') :: 'MonadState' s m =&gt; 'Iso' s s a b       -&gt; m b -&gt; m ()</span>
<a name="line-970"></a><span class='hs-comment'>-- ('&lt;~') :: 'MonadState' s m =&gt; 'Lens' s s a b      -&gt; m b -&gt; m ()</span>
<a name="line-971"></a><span class='hs-comment'>-- ('&lt;~') :: 'MonadState' s m =&gt; 'Traversal' s s a b -&gt; m b -&gt; m ()</span>
<a name="line-972"></a><span class='hs-comment'>-- ('&lt;~') :: 'MonadState' s m =&gt; 'Setter' s s a b    -&gt; m b -&gt; m ()</span>
<a name="line-973"></a><span class='hs-comment'>-- @</span>
<a name="line-974"></a><span class='hs-comment'>--</span>
<a name="line-975"></a><span class='hs-comment'>-- As a reasonable mnemonic, this lets you store the result of a monadic action in a 'Lens' rather than</span>
<a name="line-976"></a><span class='hs-comment'>-- in a local variable.</span>
<a name="line-977"></a><span class='hs-comment'>--</span>
<a name="line-978"></a><span class='hs-comment'>-- @</span>
<a name="line-979"></a><span class='hs-comment'>-- do foo &lt;- bar</span>
<a name="line-980"></a><span class='hs-comment'>--    ...</span>
<a name="line-981"></a><span class='hs-comment'>-- @</span>
<a name="line-982"></a><span class='hs-comment'>--</span>
<a name="line-983"></a><span class='hs-comment'>-- will store the result in a variable, while</span>
<a name="line-984"></a><span class='hs-comment'>--</span>
<a name="line-985"></a><span class='hs-comment'>-- @</span>
<a name="line-986"></a><span class='hs-comment'>-- do foo '&lt;~' bar</span>
<a name="line-987"></a><span class='hs-comment'>--    ...</span>
<a name="line-988"></a><span class='hs-comment'>-- @</span>
<a name="line-989"></a><span class='hs-comment'>--</span>
<a name="line-990"></a><span class='hs-comment'>-- will store the result in a 'Lens', 'Setter', or 'Traversal'.</span>
<a name="line-991"></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'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</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-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-992"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;~</span> <span class='hs-varid'>mb</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mb</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>.=</span><span class='hs-layout'>)</span>
<a name="line-993"></a><span class='hs-comment'>{-# INLINE (&lt;~) #-}</span>
<a name="line-994"></a>
<a name="line-995"></a><a name="%3c.="></a><span class='hs-comment'>-- | Set with pass-through</span>
<a name="line-996"></a><span class='hs-comment'>--</span>
<a name="line-997"></a><span class='hs-comment'>-- This is useful for chaining assignment without round-tripping through your 'Monad' stack.</span>
<a name="line-998"></a><span class='hs-comment'>--</span>
<a name="line-999"></a><span class='hs-comment'>-- @</span>
<a name="line-1000"></a><span class='hs-comment'>-- do x &lt;- 'Control.Lens.Tuple._2' '&lt;.=' ninety_nine_bottles_of_beer_on_the_wall</span>
<a name="line-1001"></a><span class='hs-comment'>-- @</span>
<a name="line-1002"></a><span class='hs-comment'>--</span>
<a name="line-1003"></a><span class='hs-comment'>-- If you do not need a copy of the intermediate result, then using @l '.=' d@ will avoid unused binding warnings.</span>
<a name="line-1004"></a><span class='hs-comment'>--</span>
<a name="line-1005"></a><span class='hs-comment'>-- @</span>
<a name="line-1006"></a><span class='hs-comment'>-- ('&lt;.=') :: 'MonadState' s m =&gt; 'Setter' s s a b    -&gt; b -&gt; m b</span>
<a name="line-1007"></a><span class='hs-comment'>-- ('&lt;.=') :: 'MonadState' s m =&gt; 'Iso' s s a b       -&gt; b -&gt; m b</span>
<a name="line-1008"></a><span class='hs-comment'>-- ('&lt;.=') :: 'MonadState' s m =&gt; 'Lens' s s a b      -&gt; b -&gt; m b</span>
<a name="line-1009"></a><span class='hs-comment'>-- ('&lt;.=') :: 'MonadState' s m =&gt; 'Traversal' s s a b -&gt; b -&gt; m b</span>
<a name="line-1010"></a><span class='hs-comment'>-- @</span>
<a name="line-1011"></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'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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>
<a name="line-1012"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;.=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-1013"></a>  <span class='hs-varid'>l</span> <span class='hs-varop'>.=</span> <span class='hs-varid'>b</span>
<a name="line-1014"></a>  <span class='hs-varid'>return</span> <span class='hs-varid'>b</span>
<a name="line-1015"></a><span class='hs-comment'>{-# INLINE (&lt;.=) #-}</span>
<a name="line-1016"></a>
<a name="line-1017"></a><a name="%3c?="></a><span class='hs-comment'>-- | Set 'Just' a value with pass-through</span>
<a name="line-1018"></a><span class='hs-comment'>--</span>
<a name="line-1019"></a><span class='hs-comment'>-- This is useful for chaining assignment without round-tripping through your 'Monad' stack.</span>
<a name="line-1020"></a><span class='hs-comment'>--</span>
<a name="line-1021"></a><span class='hs-comment'>-- @</span>
<a name="line-1022"></a><span class='hs-comment'>-- do x &lt;- 'Control.Lens.At.at' "foo" '&lt;?=' ninety_nine_bottles_of_beer_on_the_wall</span>
<a name="line-1023"></a><span class='hs-comment'>-- @</span>
<a name="line-1024"></a><span class='hs-comment'>--</span>
<a name="line-1025"></a><span class='hs-comment'>-- If you do not need a copy of the intermediate result, then using @l '?=' d@ will avoid unused binding warnings.</span>
<a name="line-1026"></a><span class='hs-comment'>--</span>
<a name="line-1027"></a><span class='hs-comment'>-- @</span>
<a name="line-1028"></a><span class='hs-comment'>-- ('&lt;?=') :: 'MonadState' s m =&gt; 'Setter' s s a ('Maybe' b)    -&gt; b -&gt; m b</span>
<a name="line-1029"></a><span class='hs-comment'>-- ('&lt;?=') :: 'MonadState' s m =&gt; 'Iso' s s a ('Maybe' b)       -&gt; b -&gt; m b</span>
<a name="line-1030"></a><span class='hs-comment'>-- ('&lt;?=') :: 'MonadState' s m =&gt; 'Lens' s s a ('Maybe' b)      -&gt; b -&gt; m b</span>
<a name="line-1031"></a><span class='hs-comment'>-- ('&lt;?=') :: 'MonadState' s m =&gt; 'Traversal' s s a ('Maybe' b) -&gt; b -&gt; m b</span>
<a name="line-1032"></a><span class='hs-comment'>-- @</span>
<a name="line-1033"></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'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</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'>m</span> <span class='hs-varid'>b</span>
<a name="line-1034"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;?=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-1035"></a>  <span class='hs-varid'>l</span> <span class='hs-varop'>?=</span> <span class='hs-varid'>b</span>
<a name="line-1036"></a>  <span class='hs-varid'>return</span> <span class='hs-varid'>b</span>
<a name="line-1037"></a><span class='hs-comment'>{-# INLINE (&lt;?=) #-}</span>
<a name="line-1038"></a>
<a name="line-1039"></a><a name="%3c%3e~"></a><span class='hs-comment'>-- | Modify the target of a monoidally valued by 'mappend'ing another value.</span>
<a name="line-1040"></a><span class='hs-comment'>--</span>
<a name="line-1041"></a><span class='hs-comment'>-- &gt;&gt;&gt; (Sum a,b) &amp; _1 &lt;&gt;~ Sum c</span>
<a name="line-1042"></a><span class='hs-comment'>-- (Sum {getSum = a + c},b)</span>
<a name="line-1043"></a><span class='hs-comment'>--</span>
<a name="line-1044"></a><span class='hs-comment'>-- &gt;&gt;&gt; (Sum a,Sum b) &amp; both &lt;&gt;~ Sum c</span>
<a name="line-1045"></a><span class='hs-comment'>-- (Sum {getSum = a + c},Sum {getSum = b + c})</span>
<a name="line-1046"></a><span class='hs-comment'>--</span>
<a name="line-1047"></a><span class='hs-comment'>-- &gt;&gt;&gt; both &lt;&gt;~ "!!!" $ ("hello","world")</span>
<a name="line-1048"></a><span class='hs-comment'>-- ("hello!!!","world!!!")</span>
<a name="line-1049"></a><span class='hs-comment'>--</span>
<a name="line-1050"></a><span class='hs-comment'>-- @</span>
<a name="line-1051"></a><span class='hs-comment'>-- ('&lt;&gt;~') :: 'Monoid' a =&gt; 'Setter' s t a a    -&gt; a -&gt; s -&gt; t</span>
<a name="line-1052"></a><span class='hs-comment'>-- ('&lt;&gt;~') :: 'Monoid' a =&gt; 'Iso' s t a a       -&gt; a -&gt; s -&gt; t</span>
<a name="line-1053"></a><span class='hs-comment'>-- ('&lt;&gt;~') :: 'Monoid' a =&gt; 'Lens' s t a a      -&gt; a -&gt; s -&gt; t</span>
<a name="line-1054"></a><span class='hs-comment'>-- ('&lt;&gt;~') :: 'Monoid' a =&gt; 'Traversal' s t a a -&gt; a -&gt; s -&gt; t</span>
<a name="line-1055"></a><span class='hs-comment'>-- @</span>
<a name="line-1056"></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'>Monoid</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-1057"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;&gt;~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>`mappend`</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-1058"></a><span class='hs-comment'>{-# INLINE (&lt;&gt;~) #-}</span>
<a name="line-1059"></a>
<a name="line-1060"></a><a name="%3c%3e="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Iso', 'Setter' or 'Traversal' by 'mappend'ing a value.</span>
<a name="line-1061"></a><span class='hs-comment'>--</span>
<a name="line-1062"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 &lt;&gt;= Sum c; _2 &lt;&gt;= Product d) (Sum a,Product b)</span>
<a name="line-1063"></a><span class='hs-comment'>-- (Sum {getSum = a + c},Product {getProduct = b * d})</span>
<a name="line-1064"></a><span class='hs-comment'>--</span>
<a name="line-1065"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (both &lt;&gt;= "!!!") ("hello","world")</span>
<a name="line-1066"></a><span class='hs-comment'>-- ("hello!!!","world!!!")</span>
<a name="line-1067"></a><span class='hs-comment'>--</span>
<a name="line-1068"></a><span class='hs-comment'>-- @</span>
<a name="line-1069"></a><span class='hs-comment'>-- ('&lt;&gt;=') :: ('MonadState' s m, 'Monoid' a) =&gt; 'Setter'' s a -&gt; a -&gt; m ()</span>
<a name="line-1070"></a><span class='hs-comment'>-- ('&lt;&gt;=') :: ('MonadState' s m, 'Monoid' a) =&gt; 'Iso'' s a -&gt; a -&gt; m ()</span>
<a name="line-1071"></a><span class='hs-comment'>-- ('&lt;&gt;=') :: ('MonadState' s m, 'Monoid' a) =&gt; 'Lens'' s a -&gt; a -&gt; m ()</span>
<a name="line-1072"></a><span class='hs-comment'>-- ('&lt;&gt;=') :: ('MonadState' s m, 'Monoid' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-1073"></a><span class='hs-comment'>-- @</span>
<a name="line-1074"></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-layout'>(</span><span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-1075"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;&gt;=</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>&lt;&gt;~</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-1076"></a><span class='hs-comment'>{-# INLINE (&lt;&gt;=) #-}</span>
<a name="line-1077"></a>
<a name="line-1078"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-1079"></a><span class='hs-comment'>-- Writer Operations</span>
<a name="line-1080"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-1081"></a>
<a name="line-1082"></a><a name="scribe"></a><span class='hs-comment'>-- | Write to a fragment of a larger 'Writer' format.</span>
<a name="line-1083"></a><span class='hs-definition'>scribe</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadWriter</span> <span class='hs-varid'>t</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-1084"></a><span class='hs-definition'>scribe</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tell</span> <span class='hs-layout'>(</span><span class='hs-varid'>set</span> <span class='hs-varid'>l</span> <span class='hs-varid'>b</span> <span class='hs-varid'>mempty</span><span class='hs-layout'>)</span>
<a name="line-1085"></a><span class='hs-comment'>{-# INLINE scribe #-}</span>
<a name="line-1086"></a>
<a name="line-1087"></a><a name="passing"></a><span class='hs-comment'>-- | This is a generalization of 'pass' that alows you to modify just a</span>
<a name="line-1088"></a><span class='hs-comment'>-- portion of the resulting 'MonadWriter'.</span>
<a name="line-1089"></a><span class='hs-definition'>passing</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadWriter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Setter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>w</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-1090"></a><span class='hs-definition'>passing</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pass</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-1091"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>uv</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>m</span>
<a name="line-1092"></a>  <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-varid'>uv</span><span class='hs-layout'>)</span>
<a name="line-1093"></a><span class='hs-comment'>{-# INLINE passing #-}</span>
<a name="line-1094"></a>
<a name="line-1095"></a><a name="ipassing"></a><span class='hs-comment'>-- | This is a generalization of 'pass' that alows you to modify just a</span>
<a name="line-1096"></a><span class='hs-comment'>-- portion of the resulting 'MonadWriter' with access to the index of an</span>
<a name="line-1097"></a><span class='hs-comment'>-- 'IndexedSetter'.</span>
<a name="line-1098"></a><span class='hs-definition'>ipassing</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadWriter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>w</span> <span class='hs-varid'>w</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-1099"></a><span class='hs-definition'>ipassing</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pass</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-1100"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>uv</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>m</span>
<a name="line-1101"></a>  <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>iover</span> <span class='hs-varid'>l</span> <span class='hs-varid'>uv</span><span class='hs-layout'>)</span>
<a name="line-1102"></a><span class='hs-comment'>{-# INLINE ipassing #-}</span>
<a name="line-1103"></a>
<a name="line-1104"></a><a name="censoring"></a><span class='hs-comment'>-- | This is a generalization of 'censor' that alows you to 'censor' just a</span>
<a name="line-1105"></a><span class='hs-comment'>-- portion of the resulting 'MonadWriter'.</span>
<a name="line-1106"></a><span class='hs-definition'>censoring</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadWriter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Setter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>w</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>u</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-1107"></a><span class='hs-definition'>censoring</span> <span class='hs-varid'>l</span> <span class='hs-varid'>uv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>censor</span> <span class='hs-layout'>(</span><span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-varid'>uv</span><span class='hs-layout'>)</span>
<a name="line-1108"></a><span class='hs-comment'>{-# INLINE censoring #-}</span>
<a name="line-1109"></a>
<a name="line-1110"></a><a name="icensoring"></a><span class='hs-comment'>-- | This is a generalization of 'censor' that alows you to 'censor' just a</span>
<a name="line-1111"></a><span class='hs-comment'>-- portion of the resulting 'MonadWriter', with access to the index of an</span>
<a name="line-1112"></a><span class='hs-comment'>-- 'IndexedSetter'.</span>
<a name="line-1113"></a><span class='hs-definition'>icensoring</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadWriter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>w</span> <span class='hs-varid'>w</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</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'>u</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-1114"></a><span class='hs-definition'>icensoring</span> <span class='hs-varid'>l</span> <span class='hs-varid'>uv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>censor</span> <span class='hs-layout'>(</span><span class='hs-varid'>iover</span> <span class='hs-varid'>l</span> <span class='hs-varid'>uv</span><span class='hs-layout'>)</span>
<a name="line-1115"></a><span class='hs-comment'>{-# INLINE icensoring #-}</span>
<a name="line-1116"></a>
<a name="line-1117"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-1118"></a><span class='hs-comment'>-- Indexed Setters</span>
<a name="line-1119"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-1120"></a>
<a name="line-1121"></a>
<a name="line-1122"></a><a name="iover"></a><span class='hs-comment'>-- | Map with index. This is an alias for 'imapOf'.</span>
<a name="line-1123"></a><span class='hs-comment'>--</span>
<a name="line-1124"></a><span class='hs-comment'>-- When you do not need access to the index, then 'over' is more liberal in what it can accept.</span>
<a name="line-1125"></a><span class='hs-comment'>--</span>
<a name="line-1126"></a><span class='hs-comment'>-- @</span>
<a name="line-1127"></a><span class='hs-comment'>-- 'over' l ≡ 'iover' l '.' 'const'</span>
<a name="line-1128"></a><span class='hs-comment'>-- 'iover' l ≡ 'over' l '.' 'Indexed'</span>
<a name="line-1129"></a><span class='hs-comment'>-- @</span>
<a name="line-1130"></a><span class='hs-comment'>--</span>
<a name="line-1131"></a><span class='hs-comment'>-- @</span>
<a name="line-1132"></a><span class='hs-comment'>-- 'iover' :: 'IndexedSetter' i s t a b    -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1133"></a><span class='hs-comment'>-- 'iover' :: 'IndexedLens' i s t a b      -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1134"></a><span class='hs-comment'>-- 'iover' :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1135"></a><span class='hs-comment'>-- @</span>
<a name="line-1136"></a><span class='hs-definition'>iover</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedSetter</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-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-1137"></a><span class='hs-definition'>iover</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-cpp'>#.</span> <span class='hs-conid'>Indexed</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-1138"></a><span class='hs-comment'>{-# INLINE iover #-}</span>
<a name="line-1139"></a>
<a name="line-1140"></a><a name="iset"></a><span class='hs-comment'>-- | Set with index. Equivalent to 'iover' with the current value ignored.</span>
<a name="line-1141"></a><span class='hs-comment'>--</span>
<a name="line-1142"></a><span class='hs-comment'>-- When you do not need access to the index, then 'set' is more liberal in what it can accept.</span>
<a name="line-1143"></a><span class='hs-comment'>--</span>
<a name="line-1144"></a><span class='hs-comment'>-- @</span>
<a name="line-1145"></a><span class='hs-comment'>-- 'set' l ≡ 'iset' l '.' 'const'</span>
<a name="line-1146"></a><span class='hs-comment'>-- @</span>
<a name="line-1147"></a><span class='hs-comment'>--</span>
<a name="line-1148"></a><span class='hs-comment'>-- @</span>
<a name="line-1149"></a><span class='hs-comment'>-- 'iset' :: 'IndexedSetter' i s t a b    -&gt; (i -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1150"></a><span class='hs-comment'>-- 'iset' :: 'IndexedLens' i s t a b      -&gt; (i -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1151"></a><span class='hs-comment'>-- 'iset' :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1152"></a><span class='hs-comment'>-- @</span>
<a name="line-1153"></a><span class='hs-definition'>iset</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedSetter</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-varid'>i</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>
<a name="line-1154"></a><span class='hs-definition'>iset</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iover</span> <span class='hs-varid'>l</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varop'>.</span><span class='hs-layout'>)</span>
<a name="line-1155"></a><span class='hs-comment'>{-# INLINE iset #-}</span>
<a name="line-1156"></a>
<a name="line-1157"></a><a name="isets"></a><span class='hs-comment'>-- | Build an 'IndexedSetter' from an 'Control.Lens.Indexed.imap'-like function.</span>
<a name="line-1158"></a><span class='hs-comment'>--</span>
<a name="line-1159"></a><span class='hs-comment'>-- Your supplied function @f@ is required to satisfy:</span>
<a name="line-1160"></a><span class='hs-comment'>--</span>
<a name="line-1161"></a><span class='hs-comment'>-- @</span>
<a name="line-1162"></a><span class='hs-comment'>-- f 'id' ≡ 'id'</span>
<a name="line-1163"></a><span class='hs-comment'>-- f g '.' f h ≡ f (g '.' h)</span>
<a name="line-1164"></a><span class='hs-comment'>-- @</span>
<a name="line-1165"></a><span class='hs-comment'>--</span>
<a name="line-1166"></a><span class='hs-comment'>-- Equational reasoning:</span>
<a name="line-1167"></a><span class='hs-comment'>--</span>
<a name="line-1168"></a><span class='hs-comment'>-- @</span>
<a name="line-1169"></a><span class='hs-comment'>-- 'isets' '.' 'iover' ≡ 'id'</span>
<a name="line-1170"></a><span class='hs-comment'>-- 'iover' '.' 'isets' ≡ 'id'</span>
<a name="line-1171"></a><span class='hs-comment'>-- @</span>
<a name="line-1172"></a><span class='hs-comment'>--</span>
<a name="line-1173"></a><span class='hs-comment'>-- Another way to view 'isets' is that it takes a \"semantic editor combinator\"</span>
<a name="line-1174"></a><span class='hs-comment'>-- which has been modified to carry an index and transforms it into a 'IndexedSetter'.</span>
<a name="line-1175"></a><span class='hs-definition'>isets</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-1176"></a><span class='hs-definition'>isets</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sets</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>indexed</span><span class='hs-layout'>)</span>
<a name="line-1177"></a><span class='hs-comment'>{-# INLINE isets #-}</span>
<a name="line-1178"></a>
<a name="line-1179"></a><a name="%25@~"></a><span class='hs-comment'>-- | Adjust every target of an 'IndexedSetter', 'IndexedLens' or 'IndexedTraversal'</span>
<a name="line-1180"></a><span class='hs-comment'>-- with access to the index.</span>
<a name="line-1181"></a><span class='hs-comment'>--</span>
<a name="line-1182"></a><span class='hs-comment'>-- @</span>
<a name="line-1183"></a><span class='hs-comment'>-- ('%@~') ≡ 'iover'</span>
<a name="line-1184"></a><span class='hs-comment'>-- @</span>
<a name="line-1185"></a><span class='hs-comment'>--</span>
<a name="line-1186"></a><span class='hs-comment'>-- When you do not need access to the index then ('%~') is more liberal in what it can accept.</span>
<a name="line-1187"></a><span class='hs-comment'>--</span>
<a name="line-1188"></a><span class='hs-comment'>-- @</span>
<a name="line-1189"></a><span class='hs-comment'>-- l '%~' f ≡ l '%@~' 'const' f</span>
<a name="line-1190"></a><span class='hs-comment'>-- @</span>
<a name="line-1191"></a><span class='hs-comment'>--</span>
<a name="line-1192"></a><span class='hs-comment'>-- @</span>
<a name="line-1193"></a><span class='hs-comment'>-- ('%@~') :: 'IndexedSetter' i s t a b    -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1194"></a><span class='hs-comment'>-- ('%@~') :: 'IndexedLens' i s t a b      -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1195"></a><span class='hs-comment'>-- ('%@~') :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1196"></a><span class='hs-comment'>-- @</span>
<a name="line-1197"></a><span class='hs-layout'>(</span><span class='hs-varop'>%@~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedSetter</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-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-1198"></a><span class='hs-layout'>(</span><span class='hs-varop'>%@~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iover</span>
<a name="line-1199"></a><span class='hs-comment'>{-# INLINE (%@~) #-}</span>
<a name="line-1200"></a>
<a name="line-1201"></a><a name=".@~"></a><span class='hs-comment'>-- | Replace every target of an 'IndexedSetter', 'IndexedLens' or 'IndexedTraversal'</span>
<a name="line-1202"></a><span class='hs-comment'>-- with access to the index.</span>
<a name="line-1203"></a><span class='hs-comment'>--</span>
<a name="line-1204"></a><span class='hs-comment'>-- @</span>
<a name="line-1205"></a><span class='hs-comment'>-- ('.@~') ≡ 'iset'</span>
<a name="line-1206"></a><span class='hs-comment'>-- @</span>
<a name="line-1207"></a><span class='hs-comment'>--</span>
<a name="line-1208"></a><span class='hs-comment'>-- When you do not need access to the index then ('.~') is more liberal in what it can accept.</span>
<a name="line-1209"></a><span class='hs-comment'>--</span>
<a name="line-1210"></a><span class='hs-comment'>-- @</span>
<a name="line-1211"></a><span class='hs-comment'>-- l '.~' b ≡ l '.@~' 'const' b</span>
<a name="line-1212"></a><span class='hs-comment'>-- @</span>
<a name="line-1213"></a><span class='hs-comment'>--</span>
<a name="line-1214"></a><span class='hs-comment'>-- @</span>
<a name="line-1215"></a><span class='hs-comment'>-- ('.@~') :: 'IndexedSetter' i s t a b    -&gt; (i -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1216"></a><span class='hs-comment'>-- ('.@~') :: 'IndexedLens' i s t a b      -&gt; (i -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1217"></a><span class='hs-comment'>-- ('.@~') :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1218"></a><span class='hs-comment'>-- @</span>
<a name="line-1219"></a><span class='hs-layout'>(</span><span class='hs-varop'>.@~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedSetter</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-varid'>i</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>
<a name="line-1220"></a><span class='hs-definition'>l</span> <span class='hs-varop'>.@~</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Identity</span> <span class='hs-cpp'>#.</span> <span class='hs-conid'>Indexed</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-1221"></a><span class='hs-comment'>{-# INLINE (.@~) #-}</span>
<a name="line-1222"></a>
<a name="line-1223"></a><a name="%25@="></a><span class='hs-comment'>-- | Adjust every target in the current state of an 'IndexedSetter', 'IndexedLens' or 'IndexedTraversal'</span>
<a name="line-1224"></a><span class='hs-comment'>-- with access to the index.</span>
<a name="line-1225"></a><span class='hs-comment'>--</span>
<a name="line-1226"></a><span class='hs-comment'>-- When you do not need access to the index then ('%=') is more liberal in what it can accept.</span>
<a name="line-1227"></a><span class='hs-comment'>--</span>
<a name="line-1228"></a><span class='hs-comment'>-- @</span>
<a name="line-1229"></a><span class='hs-comment'>-- l '%=' f ≡ l '%@=' 'const' f</span>
<a name="line-1230"></a><span class='hs-comment'>-- @</span>
<a name="line-1231"></a><span class='hs-comment'>--</span>
<a name="line-1232"></a><span class='hs-comment'>-- @</span>
<a name="line-1233"></a><span class='hs-comment'>-- ('%@=') :: 'MonadState' s m =&gt; 'IndexedSetter' i s s a b    -&gt; (i -&gt; a -&gt; b) -&gt; m ()</span>
<a name="line-1234"></a><span class='hs-comment'>-- ('%@=') :: 'MonadState' s m =&gt; 'IndexedLens' i s s a b      -&gt; (i -&gt; a -&gt; b) -&gt; m ()</span>
<a name="line-1235"></a><span class='hs-comment'>-- ('%@=') :: 'MonadState' s m =&gt; 'IndexedTraversal' i s t a b -&gt; (i -&gt; a -&gt; b) -&gt; m ()</span>
<a name="line-1236"></a><span class='hs-comment'>-- @</span>
<a name="line-1237"></a><span class='hs-layout'>(</span><span class='hs-varop'>%@=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>AnIndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-1238"></a><span class='hs-definition'>l</span> <span class='hs-varop'>%@=</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>%@~</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-1239"></a><span class='hs-comment'>{-# INLINE (%@=) #-}</span>
<a name="line-1240"></a>
<a name="line-1241"></a><a name="imodifying"></a><span class='hs-comment'>-- | This is an alias for ('%@=').</span>
<a name="line-1242"></a><span class='hs-definition'>imodifying</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>AnIndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-1243"></a><span class='hs-definition'>imodifying</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>iover</span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-1244"></a><span class='hs-comment'>{-# INLINE imodifying #-}</span>
<a name="line-1245"></a>
<a name="line-1246"></a><a name=".@="></a><span class='hs-comment'>-- | Replace every target in the current state of an 'IndexedSetter', 'IndexedLens' or 'IndexedTraversal'</span>
<a name="line-1247"></a><span class='hs-comment'>-- with access to the index.</span>
<a name="line-1248"></a><span class='hs-comment'>--</span>
<a name="line-1249"></a><span class='hs-comment'>-- When you do not need access to the index then ('.=') is more liberal in what it can accept.</span>
<a name="line-1250"></a><span class='hs-comment'>--</span>
<a name="line-1251"></a><span class='hs-comment'>-- @</span>
<a name="line-1252"></a><span class='hs-comment'>-- l '.=' b ≡ l '.@=' 'const' b</span>
<a name="line-1253"></a><span class='hs-comment'>-- @</span>
<a name="line-1254"></a><span class='hs-comment'>--</span>
<a name="line-1255"></a><span class='hs-comment'>-- @</span>
<a name="line-1256"></a><span class='hs-comment'>-- ('.@=') :: 'MonadState' s m =&gt; 'IndexedSetter' i s s a b    -&gt; (i -&gt; b) -&gt; m ()</span>
<a name="line-1257"></a><span class='hs-comment'>-- ('.@=') :: 'MonadState' s m =&gt; 'IndexedLens' i s s a b      -&gt; (i -&gt; b) -&gt; m ()</span>
<a name="line-1258"></a><span class='hs-comment'>-- ('.@=') :: 'MonadState' s m =&gt; 'IndexedTraversal' i s t a b -&gt; (i -&gt; b) -&gt; m ()</span>
<a name="line-1259"></a><span class='hs-comment'>-- @</span>
<a name="line-1260"></a><span class='hs-layout'>(</span><span class='hs-varop'>.@=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>AnIndexedSetter</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>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-1261"></a><span class='hs-definition'>l</span> <span class='hs-varop'>.@=</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>.@~</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-1262"></a><span class='hs-comment'>{-# INLINE (.@=) #-}</span>
<a name="line-1263"></a>
<a name="line-1264"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-1265"></a><span class='hs-comment'>-- Arrows</span>
<a name="line-1266"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-1267"></a>
<a name="line-1268"></a><a name="assignA"></a><span class='hs-comment'>-- | Run an arrow command and use the output to set all the targets of</span>
<a name="line-1269"></a><span class='hs-comment'>-- a 'Lens', 'Setter' or 'Traversal' to the result.</span>
<a name="line-1270"></a><span class='hs-comment'>--</span>
<a name="line-1271"></a><span class='hs-comment'>-- 'assignA' can be used very similarly to ('&lt;~'), except that the type of</span>
<a name="line-1272"></a><span class='hs-comment'>-- the object being modified can change; for example:</span>
<a name="line-1273"></a><span class='hs-comment'>--</span>
<a name="line-1274"></a><span class='hs-comment'>-- @</span>
<a name="line-1275"></a><span class='hs-comment'>-- runKleisli action ((), (), ()) where</span>
<a name="line-1276"></a><span class='hs-comment'>--   action =      assignA _1 (Kleisli (const getVal1))</span>
<a name="line-1277"></a><span class='hs-comment'>--            \&gt;&gt;&gt; assignA _2 (Kleisli (const getVal2))</span>
<a name="line-1278"></a><span class='hs-comment'>--            \&gt;&gt;&gt; assignA _3 (Kleisli (const getVal3))</span>
<a name="line-1279"></a><span class='hs-comment'>--   getVal1 :: Either String Int</span>
<a name="line-1280"></a><span class='hs-comment'>--   getVal1 = ...</span>
<a name="line-1281"></a><span class='hs-comment'>--   getVal2 :: Either String Bool</span>
<a name="line-1282"></a><span class='hs-comment'>--   getVal2 = ...</span>
<a name="line-1283"></a><span class='hs-comment'>--   getVal3 :: Either String Char</span>
<a name="line-1284"></a><span class='hs-comment'>--   getVal3 = ...</span>
<a name="line-1285"></a><span class='hs-comment'>-- @</span>
<a name="line-1286"></a><span class='hs-comment'>--</span>
<a name="line-1287"></a><span class='hs-comment'>-- has the type @'Either' 'String' ('Int', 'Bool', 'Char')@</span>
<a name="line-1288"></a><span class='hs-comment'>--</span>
<a name="line-1289"></a><span class='hs-comment'>-- @</span>
<a name="line-1290"></a><span class='hs-comment'>-- 'assignA' :: 'Arrow' p =&gt; 'Iso' s t a b       -&gt; p s b -&gt; p s t</span>
<a name="line-1291"></a><span class='hs-comment'>-- 'assignA' :: 'Arrow' p =&gt; 'Lens' s t a b      -&gt; p s b -&gt; p s t</span>
<a name="line-1292"></a><span class='hs-comment'>-- 'assignA' :: 'Arrow' p =&gt; 'Traversal' s t a b -&gt; p s b -&gt; p s t</span>
<a name="line-1293"></a><span class='hs-comment'>-- 'assignA' :: 'Arrow' p =&gt; 'Setter' s t a b    -&gt; p s b -&gt; p s t</span>
<a name="line-1294"></a><span class='hs-comment'>-- @</span>
<a name="line-1295"></a><span class='hs-definition'>assignA</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>s</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span>
<a name="line-1296"></a><span class='hs-definition'>assignA</span> <span class='hs-varid'>l</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-varop'>$</span> <span class='hs-varid'>set</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varop'>&amp;&amp;&amp;</span> <span class='hs-varid'>p</span> <span class='hs-varop'>&gt;&gt;&gt;</span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span>
<a name="line-1297"></a><span class='hs-comment'>{-# INLINE assignA #-}</span>
<a name="line-1298"></a>
<a name="line-1299"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-1300"></a><span class='hs-comment'>-- Deprecated</span>
<a name="line-1301"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-1302"></a>
<a name="line-1303"></a><a name="mapOf"></a><span class='hs-comment'>-- | 'mapOf' is a deprecated alias for 'over'.</span>
<a name="line-1304"></a><span class='hs-definition'>mapOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-1305"></a><span class='hs-definition'>mapOf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span>
<a name="line-1306"></a><span class='hs-comment'>{-# INLINE mapOf #-}</span>
<a name="line-1307"></a><span class='hs-comment'>{-# DEPRECATED mapOf "Use `over`" #-}</span>
<a name="line-1308"></a>
<a name="line-1309"></a><a name="imapOf"></a><span class='hs-comment'>-- | Map with index. (Deprecated alias for 'iover').</span>
<a name="line-1310"></a><span class='hs-comment'>--</span>
<a name="line-1311"></a><span class='hs-comment'>-- When you do not need access to the index, then 'mapOf' is more liberal in what it can accept.</span>
<a name="line-1312"></a><span class='hs-comment'>--</span>
<a name="line-1313"></a><span class='hs-comment'>-- @</span>
<a name="line-1314"></a><span class='hs-comment'>-- 'mapOf' l ≡ 'imapOf' l '.' 'const'</span>
<a name="line-1315"></a><span class='hs-comment'>-- @</span>
<a name="line-1316"></a><span class='hs-comment'>--</span>
<a name="line-1317"></a><span class='hs-comment'>-- @</span>
<a name="line-1318"></a><span class='hs-comment'>-- 'imapOf' :: 'IndexedSetter' i s t a b    -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1319"></a><span class='hs-comment'>-- 'imapOf' :: 'IndexedLens' i s t a b      -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1320"></a><span class='hs-comment'>-- 'imapOf' :: 'IndexedTraversal' i s t a b -&gt; (i -&gt; a -&gt; b) -&gt; s -&gt; t</span>
<a name="line-1321"></a><span class='hs-comment'>-- @</span>
<a name="line-1322"></a><span class='hs-definition'>imapOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>AnIndexedSetter</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-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-1323"></a><span class='hs-definition'>imapOf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iover</span>
<a name="line-1324"></a><span class='hs-comment'>{-# INLINE imapOf #-}</span>
<a name="line-1325"></a><span class='hs-comment'>{-# DEPRECATED imapOf "Use `iover`" #-}</span>
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