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Control-Lens-Type.html
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Control-Lens-Type.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/Type.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 LiberalTypeSynonyms #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE FunctionalDependencies #-}</span>
<a name="line-6"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-7"></a><span class='hs-comment'>{-# LANGUAGE UndecidableInstances #-}</span>
<a name="line-8"></a><span class='hs-comment'>{-# LANGUAGE TypeOperators #-}</span>
<a name="line-9"></a>
<a name="line-10"></a><span class='hs-cpp'>#ifndef MIN_VERSION_mtl</span>
<a name="line-11"></a><span class='hs-cpp'>#define MIN_VERSION_mtl(x,y,z) 1</span>
<a name="line-12"></a><span class='hs-cpp'>#endif</span>
<a name="line-13"></a>
<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.Type</span>
<a name="line-17"></a><span class='hs-comment'>-- Copyright : (C) 2012 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 <ekmett@gmail.com></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 @'Lens' s t a b@ is a purely functional reference.</span>
<a name="line-24"></a><span class='hs-comment'>--</span>
<a name="line-25"></a><span class='hs-comment'>-- While a 'Control.Lens.Traversal.Traversal' could be used for</span>
<a name="line-26"></a><span class='hs-comment'>-- 'Control.Lens.Getter.Getting' like a valid 'Control.Lens.Fold.Fold',</span>
<a name="line-27"></a><span class='hs-comment'>-- it wasn't a valid 'Control.Lens.Getter.Getter' as 'Applicative' wasn't a superclass of</span>
<a name="line-28"></a><span class='hs-comment'>-- 'Control.Lens.Getter.Gettable'.</span>
<a name="line-29"></a><span class='hs-comment'>--</span>
<a name="line-30"></a><span class='hs-comment'>-- 'Functor', however is the superclass of both.</span>
<a name="line-31"></a><span class='hs-comment'>--</span>
<a name="line-32"></a><span class='hs-comment'>-- @type 'Lens' s t a b = forall f. 'Functor' f => (a -> f b) -> s -> f t@</span>
<a name="line-33"></a><span class='hs-comment'>--</span>
<a name="line-34"></a><span class='hs-comment'>-- Every 'Lens' is a valid 'Control.Lens.Setter.Setter'.</span>
<a name="line-35"></a><span class='hs-comment'>--</span>
<a name="line-36"></a><span class='hs-comment'>-- Every 'Lens' can be used for 'Control.Lens.Getter.Getting' like a</span>
<a name="line-37"></a><span class='hs-comment'>-- 'Control.Lens.Fold.Fold' that doesn't use the 'Applicative' or</span>
<a name="line-38"></a><span class='hs-comment'>-- 'Control.Lens.Getter.Gettable'.</span>
<a name="line-39"></a><span class='hs-comment'>--</span>
<a name="line-40"></a><span class='hs-comment'>-- Every 'Lens' is a valid 'Control.Lens.Traversal.Traversal' that only uses</span>
<a name="line-41"></a><span class='hs-comment'>-- the 'Functor' part of the 'Applicative' it is supplied.</span>
<a name="line-42"></a><span class='hs-comment'>--</span>
<a name="line-43"></a><span class='hs-comment'>-- Every 'Lens' can be used for 'Control.Lens.Getter.Getting' like a valid</span>
<a name="line-44"></a><span class='hs-comment'>-- 'Control.Lens.Getter.Getter', since 'Functor' is a superclass of 'Control.Lens.Getter.Gettable'</span>
<a name="line-45"></a><span class='hs-comment'>--</span>
<a name="line-46"></a><span class='hs-comment'>-- Since every 'Lens' can be used for 'Control.Lens.Getter.Getting' like a</span>
<a name="line-47"></a><span class='hs-comment'>-- valid 'Control.Lens.Getter.Getter' it follows that it must view exactly one element in the</span>
<a name="line-48"></a><span class='hs-comment'>-- structure.</span>
<a name="line-49"></a><span class='hs-comment'>--</span>
<a name="line-50"></a><span class='hs-comment'>-- The lens laws follow from this property and the desire for it to act like</span>
<a name="line-51"></a><span class='hs-comment'>-- a 'Data.Traversable.Traversable' when used as a</span>
<a name="line-52"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.Traversal'.</span>
<a name="line-53"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-54"></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'>Type</span>
<a name="line-55"></a> <span class='hs-layout'>(</span>
<a name="line-56"></a> <span class='hs-comment'>-- * Lenses</span>
<a name="line-57"></a> <span class='hs-conid'>Lens</span>
<a name="line-58"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Simple</span>
<a name="line-59"></a>
<a name="line-60"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>lens</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>
<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>
<a name="line-63"></a>
<a name="line-64"></a> <span class='hs-comment'>-- * Lateral Composition</span>
<a name="line-65"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>choosing</span>
<a name="line-66"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>chosen</span>
<a name="line-67"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>alongside</span>
<a name="line-68"></a>
<a name="line-69"></a> <span class='hs-comment'>-- * Setting Functionally with Passthrough</span>
<a name="line-70"></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>
<a name="line-71"></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>
<a name="line-72"></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-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>
<a name="line-74"></a>
<a name="line-75"></a> <span class='hs-comment'>-- * Setting State with Passthrough</span>
<a name="line-76"></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>
<a name="line-77"></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>
<a name="line-78"></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-79"></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-80"></a> <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'><<~</span><span class='hs-layout'>)</span>
<a name="line-81"></a>
<a name="line-82"></a> <span class='hs-comment'>-- * Cloning Lenses</span>
<a name="line-83"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>cloneLens</span>
<a name="line-84"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>ReifiedLens</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-85"></a>
<a name="line-86"></a> <span class='hs-comment'>-- * Simplified and In-Progress</span>
<a name="line-87"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>LensLike</span>
<a name="line-88"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Overloaded</span>
<a name="line-89"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>SimpleLens</span>
<a name="line-90"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>SimpleLensLike</span>
<a name="line-91"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>SimpleOverloaded</span>
<a name="line-92"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>SimpleReifiedLens</span>
<a name="line-93"></a>
<a name="line-94"></a> <span class='hs-comment'>-- * Exposed Implementation Details</span>
<a name="line-95"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Context</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-96"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-97"></a>
<a name="line-98"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Applicative</span>
<a name="line-99"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span>
<a name="line-100"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>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-101"></a>
<a name="line-102"></a><span class='hs-comment'>-- $setup</span>
<a name="line-103"></a><span class='hs-comment'>-- >>> import Control.Lens</span>
<a name="line-104"></a>
<a name="line-105"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>4</span> <span class='hs-varop'>%%~</span>
<a name="line-106"></a><span class='hs-keyword'>infix</span> <span class='hs-num'>4</span> <span class='hs-varop'>%%=</span>
<a name="line-107"></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'><<%~</span><span class='hs-layout'>,</span> <span class='hs-varop'><<.~</span>
<a name="line-108"></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'><<%=</span><span class='hs-layout'>,</span> <span class='hs-varop'><<.=</span>
<a name="line-109"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>2</span> <span class='hs-varop'><<~</span>
<a name="line-110"></a>
<a name="line-111"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-112"></a><span class='hs-comment'>-- Lenses</span>
<a name="line-113"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-114"></a>
<a name="line-115"></a><a name="Lens"></a><span class='hs-comment'>-- | A 'Lens' is actually a lens family as described in</span>
<a name="line-116"></a><a name="Lens"></a><span class='hs-comment'>-- <<a href="http://comonad.com/reader/2012/mirrored-lenses/">http://comonad.com/reader/2012/mirrored-lenses/</a>>.</span>
<a name="line-117"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-118"></a><a name="Lens"></a><span class='hs-comment'>-- With great power comes great responsibility and a 'Lens' is subject to the</span>
<a name="line-119"></a><a name="Lens"></a><span class='hs-comment'>-- three common sense lens laws:</span>
<a name="line-120"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-121"></a><a name="Lens"></a><span class='hs-comment'>-- 1) You get back what you put in:</span>
<a name="line-122"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-123"></a><a name="Lens"></a><span class='hs-comment'>-- @'Control.Lens.Getter.view' l ('Control.Lens.Setter.set' l b a) ≡ b@</span>
<a name="line-124"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-125"></a><a name="Lens"></a><span class='hs-comment'>-- 2) Putting back what you got doesn't change anything:</span>
<a name="line-126"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-127"></a><a name="Lens"></a><span class='hs-comment'>-- @'Control.Lens.Setter.set' l ('Control.Lens.Getter.view' l a) a ≡ a@</span>
<a name="line-128"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-129"></a><a name="Lens"></a><span class='hs-comment'>-- 3) Setting twice is the same as setting once:</span>
<a name="line-130"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-131"></a><a name="Lens"></a><span class='hs-comment'>-- @'Control.Lens.Setter.set' l c ('Control.Lens.Setter.set' l b a) ≡ 'Control.Lens.Setter.set' l c a@</span>
<a name="line-132"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-133"></a><a name="Lens"></a><span class='hs-comment'>-- These laws are strong enough that the 4 type parameters of a 'Lens' cannot</span>
<a name="line-134"></a><a name="Lens"></a><span class='hs-comment'>-- vary fully independently. For more on how they interact, read the \"Why is</span>
<a name="line-135"></a><a name="Lens"></a><span class='hs-comment'>-- it a Lens Family?\" section of</span>
<a name="line-136"></a><a name="Lens"></a><span class='hs-comment'>-- <<a href="http://comonad.com/reader/2012/mirrored-lenses/">http://comonad.com/reader/2012/mirrored-lenses/</a>>.</span>
<a name="line-137"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-138"></a><a name="Lens"></a><span class='hs-comment'>-- Every 'Lens' can be used directly as a 'Control.Lens.Setter.Setter' or</span>
<a name="line-139"></a><a name="Lens"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.Traversal'.</span>
<a name="line-140"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-141"></a><a name="Lens"></a><span class='hs-comment'>-- You can also use a 'Lens' for 'Control.Lens.Getter.Getting' as if it were a</span>
<a name="line-142"></a><a name="Lens"></a><span class='hs-comment'>-- 'Control.Lens.Fold.Fold' or 'Control.Lens.Getter.Getter'.</span>
<a name="line-143"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-144"></a><a name="Lens"></a><span class='hs-comment'>-- Since every lens is a valid 'Control.Lens.Traversal.Traversal', the</span>
<a name="line-145"></a><a name="Lens"></a><span class='hs-comment'>-- traversal laws are required of any lenses you create:</span>
<a name="line-146"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-147"></a><a name="Lens"></a><span class='hs-comment'>-- @</span>
<a name="line-148"></a><a name="Lens"></a><span class='hs-comment'>-- l 'pure' ≡ 'pure'</span>
<a name="line-149"></a><a name="Lens"></a><span class='hs-comment'>-- 'fmap' (l f) '.' l g ≡ 'Data.Functor.Compose.getCompose' '.' l ('Data.Functor.Compose.Compose' '.' 'fmap' f '.' g)</span>
<a name="line-150"></a><a name="Lens"></a><span class='hs-comment'>-- @</span>
<a name="line-151"></a><a name="Lens"></a><span class='hs-comment'>--</span>
<a name="line-152"></a><a name="Lens"></a><span class='hs-comment'>-- @type 'Lens' s t a b = forall f. 'Functor' f => 'LensLike' f s t a b@</span>
<a name="line-153"></a><a name="Lens"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Lens</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-keyword'>forall</span> <span class='hs-varid'>f</span><span class='hs-varop'>.</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-154"></a>
<a name="line-155"></a><a name="Simple"></a><span class='hs-comment'>-- | A 'Simple' 'Lens', 'Simple' 'Control.Lens.Traversal.Traversal', ... can</span>
<a name="line-156"></a><a name="Simple"></a><span class='hs-comment'>-- be used instead of a 'Lens','Control.Lens.Traversal.Traversal', ...</span>
<a name="line-157"></a><a name="Simple"></a><span class='hs-comment'>-- whenever the type variables don't change upon setting a value.</span>
<a name="line-158"></a><a name="Simple"></a><span class='hs-comment'>--</span>
<a name="line-159"></a><a name="Simple"></a><span class='hs-comment'>-- @</span>
<a name="line-160"></a><a name="Simple"></a><span class='hs-comment'>-- 'Data.Complex.Lens.imaginary' :: 'Simple' 'Lens' ('Data.Complex.Complex' a) a</span>
<a name="line-161"></a><a name="Simple"></a><span class='hs-comment'>-- 'Data.List.Lens.traverseHead' :: 'Simple' 'Control.Lens.Lens.Traversal' [a] a</span>
<a name="line-162"></a><a name="Simple"></a><span class='hs-comment'>-- @</span>
<a name="line-163"></a><a name="Simple"></a><span class='hs-comment'>--</span>
<a name="line-164"></a><a name="Simple"></a><span class='hs-comment'>-- Note: To use this alias in your own code with @'LensLike' f@ or</span>
<a name="line-165"></a><a name="Simple"></a><span class='hs-comment'>-- 'Control.Lens.Setter.Setter', you may have to turn on @LiberalTypeSynonyms@.</span>
<a name="line-166"></a><a name="Simple"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Simple</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-167"></a>
<a name="line-168"></a><a name="SimpleLens"></a><span class='hs-comment'>-- | @type 'SimpleLens' = 'Simple' 'Lens'@</span>
<a name="line-169"></a><a name="SimpleLens"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>SimpleLens</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lens</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-170"></a>
<a name="line-171"></a><a name="SimpleLensLike"></a><span class='hs-comment'>-- | @type 'SimpleLensLike' f = 'Simple' ('LensLike' f)@</span>
<a name="line-172"></a><a name="SimpleLensLike"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-173"></a>
<a name="line-174"></a><span class='hs-comment'>--------------------------</span>
<a name="line-175"></a><span class='hs-comment'>-- Constructing Lenses</span>
<a name="line-176"></a><span class='hs-comment'>--------------------------</span>
<a name="line-177"></a>
<a name="line-178"></a><a name="lens"></a><span class='hs-comment'>-- | Build a 'Lens' from a getter and a setter.</span>
<a name="line-179"></a><span class='hs-comment'>--</span>
<a name="line-180"></a><span class='hs-comment'>-- @'lens' :: 'Functor' f => (s -> a) -> (s -> b -> t) -> (a -> f b) -> s -> f t@</span>
<a name="line-181"></a><span class='hs-definition'>lens</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Lens</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-182"></a><span class='hs-definition'>lens</span> <span class='hs-varid'>sa</span> <span class='hs-varid'>sbt</span> <span class='hs-varid'>afb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sbt</span> <span class='hs-varid'>s</span> <span class='hs-varop'><$></span> <span class='hs-varid'>afb</span> <span class='hs-layout'>(</span><span class='hs-varid'>sa</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-183"></a><span class='hs-comment'>{-# INLINE lens #-}</span>
<a name="line-184"></a>
<a name="line-185"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-186"></a><span class='hs-comment'>-- LensLike</span>
<a name="line-187"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-188"></a>
<a name="line-189"></a><a name="LensLike"></a><span class='hs-comment'>-- |</span>
<a name="line-190"></a><a name="LensLike"></a><span class='hs-comment'>-- Many combinators that accept a 'Lens' can also accept a</span>
<a name="line-191"></a><a name="LensLike"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.Traversal' in limited situations.</span>
<a name="line-192"></a><a name="LensLike"></a><span class='hs-comment'>--</span>
<a name="line-193"></a><a name="LensLike"></a><span class='hs-comment'>-- They do so by specializing the type of 'Functor' that they require of the</span>
<a name="line-194"></a><a name="LensLike"></a><span class='hs-comment'>-- caller.</span>
<a name="line-195"></a><a name="LensLike"></a><span class='hs-comment'>--</span>
<a name="line-196"></a><a name="LensLike"></a><span class='hs-comment'>-- If a function accepts a @'LensLike' f s t a b@ for some 'Functor' @f@,</span>
<a name="line-197"></a><a name="LensLike"></a><span class='hs-comment'>-- then they may be passed a 'Lens'.</span>
<a name="line-198"></a><a name="LensLike"></a><span class='hs-comment'>--</span>
<a name="line-199"></a><a name="LensLike"></a><span class='hs-comment'>-- Further, if @f@ is an 'Applicative', they may also be passed a</span>
<a name="line-200"></a><a name="LensLike"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.Traversal'.</span>
<a name="line-201"></a><a name="LensLike"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-202"></a>
<a name="line-203"></a><a name="%25%25~"></a><span class='hs-comment'>-- | ('%%~') can be used in one of two scenarios:</span>
<a name="line-204"></a><span class='hs-comment'>--</span>
<a name="line-205"></a><span class='hs-comment'>-- When applied to a 'Lens', it can edit the target of the 'Lens' in a</span>
<a name="line-206"></a><span class='hs-comment'>-- structure, extracting a functorial result.</span>
<a name="line-207"></a><span class='hs-comment'>--</span>
<a name="line-208"></a><span class='hs-comment'>-- When applied to a 'Control.Lens.Traversal.Traversal', it can edit the</span>
<a name="line-209"></a><span class='hs-comment'>-- targets of the 'Traversals', extracting an applicative summary of its</span>
<a name="line-210"></a><span class='hs-comment'>-- actions.</span>
<a name="line-211"></a><span class='hs-comment'>--</span>
<a name="line-212"></a><span class='hs-comment'>-- For all that the definition of this combinator is just:</span>
<a name="line-213"></a><span class='hs-comment'>--</span>
<a name="line-214"></a><span class='hs-comment'>-- @('%%~') ≡ 'id'@</span>
<a name="line-215"></a><span class='hs-comment'>--</span>
<a name="line-216"></a><span class='hs-comment'>-- @</span>
<a name="line-217"></a><span class='hs-comment'>-- ('%%~') :: 'Functor' f => 'Control.Lens.Iso.Iso' s t a b -> (a -> f b) -> s -> f t</span>
<a name="line-218"></a><span class='hs-comment'>-- ('%%~') :: 'Functor' f => 'Lens' s t a b -> (a -> f b) -> s -> f t</span>
<a name="line-219"></a><span class='hs-comment'>-- ('%%~') :: 'Applicative' f => 'Control.Lens.Traversal.Traversal' s t a b -> (a -> f b) -> s -> f t</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'>-- It may be beneficial to think about it as if it had these even more</span>
<a name="line-223"></a><span class='hs-comment'>-- restrictive types, however:</span>
<a name="line-224"></a><span class='hs-comment'>--</span>
<a name="line-225"></a><span class='hs-comment'>-- When applied to a 'Control.Lens.Traversal.Traversal', it can edit the</span>
<a name="line-226"></a><span class='hs-comment'>-- targets of the 'Traversals', extracting a supplemental monoidal summary</span>
<a name="line-227"></a><span class='hs-comment'>-- of its actions, by choosing @f = ((,) m)@</span>
<a name="line-228"></a><span class='hs-comment'>--</span>
<a name="line-229"></a><span class='hs-comment'>-- @</span>
<a name="line-230"></a><span class='hs-comment'>-- ('%%~') :: 'Control.Lens.Iso.Iso' s t a b -> (a -> (r, b)) -> s -> (r, t)</span>
<a name="line-231"></a><span class='hs-comment'>-- ('%%~') :: 'Lens' s t a b -> (a -> (r, b)) -> s -> (r, t)</span>
<a name="line-232"></a><span class='hs-comment'>-- ('%%~') :: 'Monoid' m => 'Control.Lens.Traversal.Traversal' s t a b -> (a -> (m, b)) -> s -> (m, t)</span>
<a name="line-233"></a><span class='hs-comment'>-- @</span>
<a name="line-234"></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'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-235"></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'>id</span>
<a name="line-236"></a><span class='hs-comment'>{-# INLINE (%%~) #-}</span>
<a name="line-237"></a>
<a name="line-238"></a><a name="%25%25="></a><span class='hs-comment'>-- | Modify the target of a 'Lens' in the current state returning some extra</span>
<a name="line-239"></a><span class='hs-comment'>-- information of type @r@ or modify all targets of a</span>
<a name="line-240"></a><span class='hs-comment'>-- 'Control.Lens.Traversal.Traversal' in the current state, extracting extra</span>
<a name="line-241"></a><span class='hs-comment'>-- information of type @r@ and return a monoidal summary of the changes.</span>
<a name="line-242"></a><span class='hs-comment'>--</span>
<a name="line-243"></a><span class='hs-comment'>-- @('%%=') ≡ ('state' '.')@</span>
<a name="line-244"></a><span class='hs-comment'>--</span>
<a name="line-245"></a><span class='hs-comment'>-- It may be useful to think of ('%%='), instead, as having either of the</span>
<a name="line-246"></a><span class='hs-comment'>-- following more restricted type signatures:</span>
<a name="line-247"></a><span class='hs-comment'>--</span>
<a name="line-248"></a><span class='hs-comment'>-- @</span>
<a name="line-249"></a><span class='hs-comment'>-- ('%%=') :: 'MonadState' s m => 'Control.Lens.Iso.Iso' s s a b -> (a -> (r, b)) -> m r</span>
<a name="line-250"></a><span class='hs-comment'>-- ('%%=') :: 'MonadState' s m => 'Lens' s s a b -> (a -> (r, b)) -> m r</span>
<a name="line-251"></a><span class='hs-comment'>-- ('%%=') :: ('MonadState' s m, 'Monoid' r) => 'Control.Lens.Traversal.Traversal' s s a b -> (a -> (r, b)) -> m r</span>
<a name="line-252"></a><span class='hs-comment'>-- @</span>
<a name="line-253"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</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'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span>
<a name="line-254"></a><span class='hs-cpp'>#if MIN_VERSION_mtl(2,1,1)</span>
<a name="line-255"></a><a name="l"></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'>state</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-256"></a><span class='hs-cpp'>#else</span>
<a name="line-257"></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-keyword'>do</span>
<a name="line-258"></a> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>gets</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-259"></a> <span class='hs-conid'>State</span><span class='hs-varop'>.</span><span class='hs-varid'>put</span> <span class='hs-varid'>s</span>
<a name="line-260"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>r</span>
<a name="line-261"></a><span class='hs-cpp'>#endif</span>
<a name="line-262"></a><span class='hs-comment'>{-# INLINE (%%=) #-}</span>
<a name="line-263"></a>
<a name="line-264"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-265"></a><span class='hs-comment'>-- Common Lenses</span>
<a name="line-266"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-267"></a>
<a name="line-268"></a><a name="choosing"></a><span class='hs-comment'>-- | Merge two lenses, getters, setters, folds or traversals.</span>
<a name="line-269"></a><span class='hs-comment'>--</span>
<a name="line-270"></a><span class='hs-comment'>-- @'chosen' ≡ 'choosing' 'id' 'id'@</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'>-- 'choosing' :: 'Control.Lens.Getter.Getter' s a -> 'Control.Lens.Getter.Getter' s' a -> 'Control.Lens.Getter.Getter' ('Either' s s') a</span>
<a name="line-274"></a><span class='hs-comment'>-- 'choosing' :: 'Control.Lens.Fold.Fold' s a -> 'Control.Lens.Fold.Fold' s' a -> 'Control.Lens.Fold.Fold' ('Either' s s') a</span>
<a name="line-275"></a><span class='hs-comment'>-- 'choosing' :: 'Simple' 'Lens' s a -> 'Simple' 'Lens' s' a -> 'Simple' 'Lens' ('Either' s s') a</span>
<a name="line-276"></a><span class='hs-comment'>-- 'choosing' :: 'Simple' 'Control.Lens.Traversal.Traversal' s a -> 'Simple' 'Control.Lens.Traversal.Traversal' s' a -> 'Simple' 'Control.Lens.Traversal.Traversal' ('Either' s s') a</span>
<a name="line-277"></a><span class='hs-comment'>-- 'choosing' :: 'Simple' 'Control.Lens.Setter.Setter' s a -> 'Simple' 'Control.Lens.Setter.Setter' s' a -> 'Simple' 'Control.Lens.Setter.Setter' ('Either' s s') a</span>
<a name="line-278"></a><span class='hs-comment'>-- @</span>
<a name="line-279"></a><span class='hs-definition'>choosing</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span>
<a name="line-280"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-281"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s'</span> <span class='hs-varid'>t'</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-282"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>LensLike</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>t</span> <span class='hs-varid'>t'</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-283"></a><span class='hs-definition'>choosing</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-varop'><$></span> <span class='hs-varid'>l</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-284"></a><span class='hs-definition'>choosing</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>r</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Right</span> <span class='hs-varop'><$></span> <span class='hs-varid'>r</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a'</span>
<a name="line-285"></a><span class='hs-comment'>{-# INLINE choosing #-}</span>
<a name="line-286"></a>
<a name="line-287"></a><a name="chosen"></a><span class='hs-comment'>-- | This is a 'Lens' that updates either side of an 'Either', where both sides have the same type.</span>
<a name="line-288"></a><span class='hs-comment'>--</span>
<a name="line-289"></a><span class='hs-comment'>-- @'chosen' ≡ 'choosing' 'id' 'id'@</span>
<a name="line-290"></a><span class='hs-comment'>--</span>
<a name="line-291"></a><span class='hs-comment'>-- >>> Left 12^.chosen</span>
<a name="line-292"></a><span class='hs-comment'>-- 12</span>
<a name="line-293"></a><span class='hs-comment'>-- >>> Right "hello"^.chosen</span>
<a name="line-294"></a><span class='hs-comment'>-- "hello"</span>
<a name="line-295"></a><span class='hs-comment'>-- >>> chosen *~ 10 $ Right 2</span>
<a name="line-296"></a><span class='hs-comment'>-- Right 20</span>
<a name="line-297"></a><span class='hs-definition'>chosen</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Lens</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</span> <span class='hs-varid'>b</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-298"></a><span class='hs-definition'>chosen</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-299"></a><span class='hs-definition'>chosen</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Right</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-300"></a><span class='hs-comment'>{-# INLINE chosen #-}</span>
<a name="line-301"></a>
<a name="line-302"></a><a name="alongside"></a><span class='hs-comment'>-- | 'alongside' makes a 'Lens' from two other lenses.</span>
<a name="line-303"></a><span class='hs-comment'>--</span>
<a name="line-304"></a><span class='hs-comment'>-- @'alongside' :: 'Lens' s t a b -> 'Lens' s' t' a' b' -> 'Lens' (s,s') (t,t') (a,a') (b,b')@</span>
<a name="line-305"></a><span class='hs-definition'>alongside</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-306"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>a'</span> <span class='hs-varid'>b'</span><span class='hs-layout'>)</span> <span class='hs-varid'>s'</span> <span class='hs-varid'>t'</span> <span class='hs-varid'>a'</span> <span class='hs-varid'>b'</span>
<a name="line-307"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Lens</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span><span class='hs-varid'>s'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>t'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>b'</span><span class='hs-layout'>)</span>
<a name="line-308"></a><span class='hs-definition'>alongside</span> <span class='hs-varid'>l</span> <span class='hs-varid'>r</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>s'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-309"></a> <span class='hs-conid'>Context</span> <span class='hs-varid'>bt</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-varid'>s'</span> <span class='hs-keyword'>of</span>
<a name="line-310"></a> <span class='hs-conid'>Context</span> <span class='hs-varid'>bt'</span> <span class='hs-varid'>a'</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>b'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>bt</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>bt'</span> <span class='hs-varid'>b'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>a'</span><span class='hs-layout'>)</span>
<a name="line-311"></a><span class='hs-comment'>{-# INLINE alongside #-}</span>
<a name="line-312"></a>
<a name="line-313"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-314"></a><span class='hs-comment'>-- Cloning Lenses</span>
<a name="line-315"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-316"></a>
<a name="line-317"></a><a name="cloneLens"></a><span class='hs-comment'>-- |</span>
<a name="line-318"></a><span class='hs-comment'>-- Cloning a 'Lens' is one way to make sure you aren't given</span>
<a name="line-319"></a><span class='hs-comment'>-- something weaker, such as a 'Control.Lens.Traversal.Traversal' and can be</span>
<a name="line-320"></a><span class='hs-comment'>-- used as a way to pass around lenses that have to be monomorphic in @f@.</span>
<a name="line-321"></a><span class='hs-comment'>--</span>
<a name="line-322"></a><span class='hs-comment'>-- Note: This only accepts a proper 'Lens'.</span>
<a name="line-323"></a><span class='hs-comment'>--</span>
<a name="line-324"></a><span class='hs-comment'>-- /\"Costate Comonad Coalgebra is equivalent of Java's member variable update technology for Haskell\"/ -- \@PLT_Borat on Twitter</span>
<a name="line-325"></a><span class='hs-definition'>cloneLens</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span>
<a name="line-326"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-327"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span>
<a name="line-328"></a><span class='hs-definition'>cloneLens</span> <span class='hs-varid'>f</span> <span class='hs-varid'>afb</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-329"></a> <span class='hs-conid'>Context</span> <span class='hs-varid'>bt</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>bt</span> <span class='hs-varop'><$></span> <span class='hs-varid'>afb</span> <span class='hs-varid'>a</span>
<a name="line-330"></a><span class='hs-comment'>{-# INLINE cloneLens #-}</span>
<a name="line-331"></a>
<a name="line-332"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-333"></a><span class='hs-comment'>-- Overloading function application</span>
<a name="line-334"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-335"></a>
<a name="line-336"></a><a name="Overloaded"></a><span class='hs-comment'>-- | @type 'LensLike' f s t a b = 'Overloaded' (->) f s t a b@</span>
<a name="line-337"></a><a name="Overloaded"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Overloaded</span> <span class='hs-varid'>k</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></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'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-338"></a>
<a name="line-339"></a><a name="SimpleOverloaded"></a><span class='hs-comment'>-- | @type 'SimpleOverloaded' k f s a = 'Simple' ('Overloaded' k f) s a@</span>
<a name="line-340"></a><a name="SimpleOverloaded"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>SimpleOverloaded</span> <span class='hs-varid'>k</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Overloaded</span> <span class='hs-varid'>k</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span>
<a name="line-341"></a>
<a name="line-342"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-343"></a><span class='hs-comment'>-- Setting and Remembering</span>
<a name="line-344"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-345"></a>
<a name="line-346"></a><a name="%3c%25~"></a><span class='hs-comment'>-- | Modify the target of a 'Lens' and return the result</span>
<a name="line-347"></a><span class='hs-comment'>--</span>
<a name="line-348"></a><span class='hs-comment'>-- When you do not need the result of the addition, ('Control.Lens.Setter.%~') is more flexible.</span>
<a name="line-349"></a><span class='hs-comment'>--</span>
<a name="line-350"></a><span class='hs-comment'>-- @</span>
<a name="line-351"></a><span class='hs-comment'>-- ('<%~') :: 'Lens' s t a b -> (a -> b) -> s -> (b, t)</span>
<a name="line-352"></a><span class='hs-comment'>-- ('<%~') :: 'Control.Lens.Iso.Iso' s t a b -> (a -> b) -> s -> (b, t)</span>
<a name="line-353"></a><span class='hs-comment'>-- ('<%~') :: 'Monoid' b => 'Control.Lens.Traversal.Traversal' s t a b -> (a -> b) -> s -> (b, t)</span>
<a name="line-354"></a><span class='hs-comment'>-- @</span>
<a name="line-355"></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'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></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-356"></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'>l</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>let</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-357"></a><span class='hs-comment'>{-# INLINE (<%~) #-}</span>
<a name="line-358"></a>
<a name="line-359"></a><a name="%3c+~"></a><span class='hs-comment'>-- | Increment the target of a numerically valued 'Lens' and return the result</span>
<a name="line-360"></a><span class='hs-comment'>--</span>
<a name="line-361"></a><span class='hs-comment'>-- When you do not need the result of the addition, ('Control.Lens.Setter.+~') is more flexible.</span>
<a name="line-362"></a><span class='hs-comment'>--</span>
<a name="line-363"></a><span class='hs-comment'>-- @</span>
<a name="line-364"></a><span class='hs-comment'>-- ('<+~') :: 'Num' a => 'Simple' 'Lens' s a -> a -> s -> (a, s)</span>
<a name="line-365"></a><span class='hs-comment'>-- ('<+~') :: 'Num' a => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> s -> (a, s)</span>
<a name="line-366"></a><span class='hs-comment'>-- @</span>
<a name="line-367"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-368"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>+</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-369"></a><span class='hs-comment'>{-# INLINE (<+~) #-}</span>
<a name="line-370"></a>
<a name="line-371"></a><a name="%3c-~"></a><span class='hs-comment'>-- | Decrement the target of a numerically valued 'Lens' and return the result</span>
<a name="line-372"></a><span class='hs-comment'>--</span>
<a name="line-373"></a><span class='hs-comment'>-- When you do not need the result of the subtraction, ('Control.Lens.Setter.-~') is more flexible.</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'>-- ('<-~') :: 'Num' a => 'Simple' 'Lens' s a -> a -> s -> (a, s)</span>
<a name="line-377"></a><span class='hs-comment'>-- ('<-~') :: 'Num' a => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> s -> (a, s)</span>
<a name="line-378"></a><span class='hs-comment'>-- @</span>
<a name="line-379"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-380"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-varid'>subtract</span> <span class='hs-varid'>a</span>
<a name="line-381"></a><span class='hs-comment'>{-# INLINE (<-~) #-}</span>
<a name="line-382"></a>
<a name="line-383"></a><a name="%3c*~"></a><span class='hs-comment'>-- | Multiply the target of a numerically valued 'Lens' and return the result</span>
<a name="line-384"></a><span class='hs-comment'>--</span>
<a name="line-385"></a><span class='hs-comment'>-- When you do not need the result of the multiplication, ('Control.Lens.Setter.*~') is more</span>
<a name="line-386"></a><span class='hs-comment'>-- flexible.</span>
<a name="line-387"></a><span class='hs-comment'>--</span>
<a name="line-388"></a><span class='hs-comment'>-- @</span>
<a name="line-389"></a><span class='hs-comment'>-- ('<*~') :: 'Num' b => 'Simple' 'Lens' s a -> a -> a -> (s, a)</span>
<a name="line-390"></a><span class='hs-comment'>-- ('<*~') :: 'Num' b => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> a -> (s, a))</span>
<a name="line-391"></a><span class='hs-comment'>-- @</span>
<a name="line-392"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-393"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>*</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-394"></a><span class='hs-comment'>{-# INLINE (<*~) #-}</span>
<a name="line-395"></a>
<a name="line-396"></a><a name="%3c//~"></a><span class='hs-comment'>-- | Divide the target of a fractionally valued 'Lens' and return the result.</span>
<a name="line-397"></a><span class='hs-comment'>--</span>
<a name="line-398"></a><span class='hs-comment'>-- When you do not need the result of the division, ('Control.Lens.Setter.//~') is more flexible.</span>
<a name="line-399"></a><span class='hs-comment'>--</span>
<a name="line-400"></a><span class='hs-comment'>-- @</span>
<a name="line-401"></a><span class='hs-comment'>-- ('<//~') :: 'Fractional' b => 'Simple' 'Lens' s a -> a -> a -> (s, a)</span>
<a name="line-402"></a><span class='hs-comment'>-- ('<//~') :: 'Fractional' b => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> a -> (s, a))</span>
<a name="line-403"></a><span class='hs-comment'>-- @</span>
<a name="line-404"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-405"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>/</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-406"></a><span class='hs-comment'>{-# INLINE (<//~) #-}</span>
<a name="line-407"></a>
<a name="line-408"></a><a name="%3c%5e~"></a><span class='hs-comment'>-- | Raise the target of a numerically valued 'Lens' to a non-negative</span>
<a name="line-409"></a><span class='hs-comment'>-- 'Integral' power and return the result</span>
<a name="line-410"></a><span class='hs-comment'>--</span>
<a name="line-411"></a><span class='hs-comment'>-- When you do not need the result of the division, ('Control.Lens.Setter.^~') is more flexible.</span>
<a name="line-412"></a><span class='hs-comment'>--</span>
<a name="line-413"></a><span class='hs-comment'>-- @</span>
<a name="line-414"></a><span class='hs-comment'>-- ('<^~') :: ('Num' b, 'Integral' e) => 'Simple' 'Lens' s a -> e -> a -> (a, s)</span>
<a name="line-415"></a><span class='hs-comment'>-- ('<^~') :: ('Num' b, 'Integral' e) => 'Simple' 'Control.Lens.Iso.Iso' s a -> e -> a -> (a, s)</span>
<a name="line-416"></a><span class='hs-comment'>-- @</span>
<a name="line-417"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-418"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>^</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-419"></a><span class='hs-comment'>{-# INLINE (<^~) #-}</span>
<a name="line-420"></a>
<a name="line-421"></a><a name="%3c%5e%5e~"></a><span class='hs-comment'>-- | Raise the target of a fractionally valued 'Lens' to an 'Integral' power</span>
<a name="line-422"></a><span class='hs-comment'>-- and return the result.</span>
<a name="line-423"></a><span class='hs-comment'>--</span>
<a name="line-424"></a><span class='hs-comment'>-- When you do not need the result of the division, ('Control.Lens.Setter.^^~') is more flexible.</span>
<a name="line-425"></a><span class='hs-comment'>--</span>
<a name="line-426"></a><span class='hs-comment'>-- @</span>
<a name="line-427"></a><span class='hs-comment'>-- ('<^^~') :: ('Fractional' b, 'Integral' e) => 'Simple' 'Lens' s a -> e -> a -> (a, s)</span>
<a name="line-428"></a><span class='hs-comment'>-- ('<^^~') :: ('Fractional' b, 'Integral' e) => 'Simple' 'Control.Lens.Iso.Iso' s a -> e -> a -> (a, s)</span>
<a name="line-429"></a><span class='hs-comment'>-- @</span>
<a name="line-430"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-431"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>^^</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-432"></a><span class='hs-comment'>{-# INLINE (<^^~) #-}</span>
<a name="line-433"></a>
<a name="line-434"></a><a name="%3c**~"></a><span class='hs-comment'>-- | Raise the target of a floating-point valued 'Lens' to an arbitrary power</span>
<a name="line-435"></a><span class='hs-comment'>-- and return the result.</span>
<a name="line-436"></a><span class='hs-comment'>--</span>
<a name="line-437"></a><span class='hs-comment'>-- When you do not need the result of the division, ('Control.Lens.Setter.**~') is more flexible.</span>
<a name="line-438"></a><span class='hs-comment'>--</span>
<a name="line-439"></a><span class='hs-comment'>-- @</span>
<a name="line-440"></a><span class='hs-comment'>-- ('<**~') :: 'Floating' a => 'Simple' 'Lens' s a -> a -> s -> (a, s)</span>
<a name="line-441"></a><span class='hs-comment'>-- ('<**~') :: 'Floating' a => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> s -> (a, s)</span>
<a name="line-442"></a><span class='hs-comment'>-- @</span>
<a name="line-443"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-444"></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-varid'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>**</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-445"></a><span class='hs-comment'>{-# INLINE (<**~) #-}</span>
<a name="line-446"></a>
<a name="line-447"></a><a name="%3c%7c%7c~"></a><span class='hs-comment'>-- | Logically '||' a Boolean valued 'Lens' and return the result</span>
<a name="line-448"></a><span class='hs-comment'>--</span>
<a name="line-449"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.||~') is more flexible.</span>
<a name="line-450"></a><span class='hs-comment'>--</span>
<a name="line-451"></a><span class='hs-comment'>-- @</span>
<a name="line-452"></a><span class='hs-comment'>-- ('<||~') :: 'Simple' 'Lens' s 'Bool' -> 'Bool' -> s -> ('Bool', s)</span>
<a name="line-453"></a><span class='hs-comment'>-- ('<||~') :: 'Simple' 'Control.Lens.Iso.Iso' s 'Bool' -> 'Bool' -> s -> ('Bool', s)</span>
<a name="line-454"></a><span class='hs-comment'>-- @</span>
<a name="line-455"></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'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-conid'>Bool</span><span class='hs-layout'>)</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'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-456"></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'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>||</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-457"></a><span class='hs-comment'>{-# INLINE (<||~) #-}</span>
<a name="line-458"></a>
<a name="line-459"></a><a name="%3c&&~"></a><span class='hs-comment'>-- | Logically '&&' a Boolean valued 'Lens' and return the result</span>
<a name="line-460"></a><span class='hs-comment'>--</span>
<a name="line-461"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.&&~') is more flexible.</span>
<a name="line-462"></a><span class='hs-comment'>--</span>
<a name="line-463"></a><span class='hs-comment'>-- @</span>
<a name="line-464"></a><span class='hs-comment'>-- ('<&&~') :: 'Simple' 'Lens' s 'Bool' -> 'Bool' -> s -> ('Bool', s)</span>
<a name="line-465"></a><span class='hs-comment'>-- ('<&&~') :: 'Simple' 'Control.Lens.Iso.Iso' s 'Bool' -> 'Bool' -> s -> ('Bool', s)</span>
<a name="line-466"></a><span class='hs-comment'>-- @</span>
<a name="line-467"></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'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-conid'>Bool</span><span class='hs-layout'>)</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'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-468"></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'>l</span> <span class='hs-varop'><%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>&&</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-469"></a><span class='hs-comment'>{-# INLINE (<&&~) #-}</span>
<a name="line-470"></a>
<a name="line-471"></a><a name="%3c%3c%25~"></a><span class='hs-comment'>-- | Modify the target of a 'Lens', but return the old value.</span>
<a name="line-472"></a><span class='hs-comment'>--</span>
<a name="line-473"></a><span class='hs-comment'>-- When you do not need the result of the addition, ('Control.Lens.Setter.%~') is more flexible.</span>
<a name="line-474"></a><span class='hs-comment'>--</span>
<a name="line-475"></a><span class='hs-comment'>-- @</span>
<a name="line-476"></a><span class='hs-comment'>-- ('<<%~') :: 'Lens' s t a b -> (a -> b) -> s -> (b, t)</span>
<a name="line-477"></a><span class='hs-comment'>-- ('<<%~') :: 'Control.Lens.Iso.Iso' s t a b -> (a -> b) -> s -> (b, t)</span>
<a name="line-478"></a><span class='hs-comment'>-- ('<<%~') :: 'Monoid' b => 'Control.Lens.Traversal.Traversal' s t a b -> (a -> b) -> s -> (b, t)</span>
<a name="line-479"></a><span class='hs-comment'>-- @</span>
<a name="line-480"></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'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-481"></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'>l</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-482"></a><span class='hs-comment'>{-# INLINE (<<%~) #-}</span>
<a name="line-483"></a>
<a name="line-484"></a><a name="%3c%3c.~"></a><span class='hs-comment'>-- | Modify the target of a 'Lens', but return the old value.</span>
<a name="line-485"></a><span class='hs-comment'>--</span>
<a name="line-486"></a><span class='hs-comment'>-- When you do not need the old value, ('Control.Lens.Setter.%~') is more flexible.</span>
<a name="line-487"></a><span class='hs-comment'>--</span>
<a name="line-488"></a><span class='hs-comment'>-- @</span>
<a name="line-489"></a><span class='hs-comment'>-- ('<<%~') :: 'Lens' s t a b -> b -> s -> (a, t)</span>
<a name="line-490"></a><span class='hs-comment'>-- ('<<%~') :: 'Control.Lens.Iso.Iso' s t a b -> b -> s -> (a, t)</span>
<a name="line-491"></a><span class='hs-comment'>-- ('<<%~') :: 'Monoid' b => 'Control.Lens.Traversal.Traversal' s t a b -> b -> s -> (a, t)</span>
<a name="line-492"></a><span class='hs-comment'>-- @</span>
<a name="line-493"></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'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-494"></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'>l</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-495"></a><span class='hs-comment'>{-# INLINE (<<.~) #-}</span>
<a name="line-496"></a>
<a name="line-497"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-498"></a><span class='hs-comment'>-- Setting and Remembering State</span>
<a name="line-499"></a><span class='hs-comment'>-------------------------------------------------------------------------------</span>
<a name="line-500"></a>
<a name="line-501"></a><a name="%3c%25="></a><span class='hs-comment'>-- | Modify the target of a 'Lens' into your monad's state by a user supplied</span>
<a name="line-502"></a><span class='hs-comment'>-- function and return the result.</span>
<a name="line-503"></a><span class='hs-comment'>--</span>
<a name="line-504"></a><span class='hs-comment'>-- When applied to a 'Control.Lens.Traversal.Traversal', it this will return a monoidal summary of all of the intermediate</span>
<a name="line-505"></a><span class='hs-comment'>-- results.</span>
<a name="line-506"></a><span class='hs-comment'>--</span>
<a name="line-507"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.%=') is more flexible.</span>
<a name="line-508"></a><span class='hs-comment'>--</span>
<a name="line-509"></a><span class='hs-comment'>-- @</span>
<a name="line-510"></a><span class='hs-comment'>-- ('<%=') :: 'MonadState' s m => 'Simple' 'Lens' s a -> (a -> a) -> m a</span>
<a name="line-511"></a><span class='hs-comment'>-- ('<%=') :: 'MonadState' s m => 'Simple' 'Control.Lens.Iso.Iso' s a -> (a -> a) -> m a</span>
<a name="line-512"></a><span class='hs-comment'>-- ('<%=') :: ('MonadState' s m, 'Monoid' a) => 'Simple' 'Traveral' s a -> (a -> a) -> m a</span>
<a name="line-513"></a><span class='hs-comment'>-- @</span>
<a name="line-514"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>b</span><span class='hs-layout'>)</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'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span>
<a name="line-515"></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'>l</span> <span class='hs-varop'>%%=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>let</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-516"></a><span class='hs-comment'>{-# INLINE (<%=) #-}</span>
<a name="line-517"></a>
<a name="line-518"></a>
<a name="line-519"></a><a name="%3c+="></a><span class='hs-comment'>-- | Add to the target of a numerically valued 'Lens' into your monad's state</span>
<a name="line-520"></a><span class='hs-comment'>-- and return the result.</span>
<a name="line-521"></a><span class='hs-comment'>--</span>
<a name="line-522"></a><span class='hs-comment'>-- When you do not need the result of the addition, ('Control.Lens.Setter.+=') is more</span>
<a name="line-523"></a><span class='hs-comment'>-- flexible.</span>
<a name="line-524"></a><span class='hs-comment'>--</span>
<a name="line-525"></a><span class='hs-comment'>-- @</span>
<a name="line-526"></a><span class='hs-comment'>-- ('<+=') :: ('MonadState' s m, 'Num' a) => 'Simple' 'Lens' s a -> a -> m a</span>
<a name="line-527"></a><span class='hs-comment'>-- ('<+=') :: ('MonadState' s m, 'Num' a) => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> m a</span>
<a name="line-528"></a><span class='hs-comment'>-- @</span>
<a name="line-529"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-530"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>+</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-531"></a><span class='hs-comment'>{-# INLINE (<+=) #-}</span>
<a name="line-532"></a>
<a name="line-533"></a><a name="%3c-="></a><span class='hs-comment'>-- | Subtract from the target of a numerically valued 'Lens' into your monad's</span>
<a name="line-534"></a><span class='hs-comment'>-- state and return the result.</span>
<a name="line-535"></a><span class='hs-comment'>--</span>
<a name="line-536"></a><span class='hs-comment'>-- When you do not need the result of the subtraction, ('Control.Lens.Setter.-=') is more</span>
<a name="line-537"></a><span class='hs-comment'>-- flexible.</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'>-- ('<-=') :: ('MonadState' s m, 'Num' a) => 'Simple' 'Lens' s a -> a -> m a</span>
<a name="line-541"></a><span class='hs-comment'>-- ('<-=') :: ('MonadState' s m, 'Num' a) => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> m a</span>
<a name="line-542"></a><span class='hs-comment'>-- @</span>
<a name="line-543"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-544"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-varid'>subtract</span> <span class='hs-varid'>a</span>
<a name="line-545"></a><span class='hs-comment'>{-# INLINE (<-=) #-}</span>
<a name="line-546"></a>
<a name="line-547"></a><a name="%3c*="></a><span class='hs-comment'>-- | Multiply the target of a numerically valued 'Lens' into your monad's</span>
<a name="line-548"></a><span class='hs-comment'>-- state and return the result.</span>
<a name="line-549"></a><span class='hs-comment'>--</span>
<a name="line-550"></a><span class='hs-comment'>-- When you do not need the result of the multiplication, ('Control.Lens.Setter.*=') is more</span>
<a name="line-551"></a><span class='hs-comment'>-- flexible.</span>
<a name="line-552"></a><span class='hs-comment'>--</span>
<a name="line-553"></a><span class='hs-comment'>-- @</span>
<a name="line-554"></a><span class='hs-comment'>-- ('<*=') :: ('MonadState' s m, 'Num' a) => 'Simple' 'Lens' s a -> a -> m a</span>
<a name="line-555"></a><span class='hs-comment'>-- ('<*=') :: ('MonadState' s m, 'Num' a) => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> m a</span>
<a name="line-556"></a><span class='hs-comment'>-- @</span>
<a name="line-557"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-558"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>*</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-559"></a><span class='hs-comment'>{-# INLINE (<*=) #-}</span>
<a name="line-560"></a>
<a name="line-561"></a><a name="%3c//="></a><span class='hs-comment'>-- | Divide the target of a fractionally valued 'Lens' into your monad's state</span>
<a name="line-562"></a><span class='hs-comment'>-- and return the result.</span>
<a name="line-563"></a><span class='hs-comment'>--</span>
<a name="line-564"></a><span class='hs-comment'>-- When you do not need the result of the division, ('Control.Lens.Setter.//=') is more flexible.</span>
<a name="line-565"></a><span class='hs-comment'>--</span>
<a name="line-566"></a><span class='hs-comment'>-- @</span>
<a name="line-567"></a><span class='hs-comment'>-- ('<//=') :: ('MonadState' s m, 'Fractional' a) => 'Simple' 'Lens' s a -> a -> m a</span>
<a name="line-568"></a><span class='hs-comment'>-- ('<//=') :: ('MonadState' s m, 'Fractional' a) => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> m a</span>
<a name="line-569"></a><span class='hs-comment'>-- @</span>
<a name="line-570"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-571"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>/</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-572"></a><span class='hs-comment'>{-# INLINE (<//=) #-}</span>
<a name="line-573"></a>
<a name="line-574"></a><a name="%3c%5e="></a><span class='hs-comment'>-- | Raise the target of a numerically valued 'Lens' into your monad's state</span>
<a name="line-575"></a><span class='hs-comment'>-- to a non-negative 'Integral' power and return the result.</span>
<a name="line-576"></a><span class='hs-comment'>--</span>
<a name="line-577"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.**=') is more flexible.</span>
<a name="line-578"></a><span class='hs-comment'>--</span>
<a name="line-579"></a><span class='hs-comment'>-- @</span>
<a name="line-580"></a><span class='hs-comment'>-- ('<^=') :: ('MonadState' s m, 'Num' a, 'Integral' e) => 'Simple' 'Lens' s a -> e -> m a</span>
<a name="line-581"></a><span class='hs-comment'>-- ('<^=') :: ('MonadState' s m, 'Num' a, 'Integral' e) => 'Simple' 'Control.Lens.Iso.Iso' s a -> e -> m a</span>
<a name="line-582"></a><span class='hs-comment'>-- @</span>
<a name="line-583"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-584"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>^</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-585"></a><span class='hs-comment'>{-# INLINE (<^=) #-}</span>
<a name="line-586"></a>
<a name="line-587"></a><a name="%3c%5e%5e="></a><span class='hs-comment'>-- | Raise the target of a fractionally valued 'Lens' into your monad's state</span>
<a name="line-588"></a><span class='hs-comment'>-- to an 'Integral' power and return the result.</span>
<a name="line-589"></a><span class='hs-comment'>--</span>
<a name="line-590"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.^^=') is more flexible.</span>
<a name="line-591"></a><span class='hs-comment'>--</span>
<a name="line-592"></a><span class='hs-comment'>-- @</span>
<a name="line-593"></a><span class='hs-comment'>-- ('<^^=') :: ('MonadState' s m, 'Fractional' b, 'Integral' e) => 'Simple' 'Lens' s a -> e -> m a</span>
<a name="line-594"></a><span class='hs-comment'>-- ('<^^=') :: ('MonadState' s m, 'Fractional' b, 'Integral' e) => 'Simple' 'Control.Lens.Iso.Iso' s a -> e -> m a</span>
<a name="line-595"></a><span class='hs-comment'>-- @</span>
<a name="line-596"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-597"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>^^</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-598"></a><span class='hs-comment'>{-# INLINE (<^^=) #-}</span>
<a name="line-599"></a>
<a name="line-600"></a><a name="%3c**="></a><span class='hs-comment'>-- | Raise the target of a floating-point valued 'Lens' into your monad's</span>
<a name="line-601"></a><span class='hs-comment'>-- state to an arbitrary power and return the result.</span>
<a name="line-602"></a><span class='hs-comment'>--</span>
<a name="line-603"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.**=') is more flexible.</span>
<a name="line-604"></a><span class='hs-comment'>--</span>
<a name="line-605"></a><span class='hs-comment'>-- @</span>
<a name="line-606"></a><span class='hs-comment'>-- ('<**=') :: ('MonadState' s m, 'Floating' a) => 'Simple' 'Lens' s a -> a -> m a</span>
<a name="line-607"></a><span class='hs-comment'>-- ('<**=') :: ('MonadState' s m, 'Floating' a) => 'Simple' 'Control.Lens.Iso.Iso' s a -> a -> m a</span>
<a name="line-608"></a><span class='hs-comment'>-- @</span>
<a name="line-609"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-610"></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-varid'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>**</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-611"></a><span class='hs-comment'>{-# INLINE (<**=) #-}</span>
<a name="line-612"></a>
<a name="line-613"></a><a name="%3c%7c%7c="></a><span class='hs-comment'>-- | Logically '||' a Boolean valued 'Lens' into your monad's state and return</span>
<a name="line-614"></a><span class='hs-comment'>-- the result.</span>
<a name="line-615"></a><span class='hs-comment'>--</span>
<a name="line-616"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.||=') is more flexible.</span>
<a name="line-617"></a><span class='hs-comment'>--</span>
<a name="line-618"></a><span class='hs-comment'>-- @</span>
<a name="line-619"></a><span class='hs-comment'>-- ('<||=') :: 'MonadState' s m => 'Simple' 'Lens' s 'Bool' -> 'Bool' -> m 'Bool'</span>
<a name="line-620"></a><span class='hs-comment'>-- ('<||=') :: 'MonadState' s m => 'Simple' 'Control.Lens.Iso.Iso' s 'Bool' -> 'Bool' -> m 'Bool'</span>
<a name="line-621"></a><span class='hs-comment'>-- @</span>
<a name="line-622"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-conid'>Bool</span>
<a name="line-623"></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'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>||</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-624"></a><span class='hs-comment'>{-# INLINE (<||=) #-}</span>
<a name="line-625"></a>
<a name="line-626"></a><a name="%3c&&="></a><span class='hs-comment'>-- | Logically '&&' a Boolean valued 'Lens' into your monad's state and return</span>
<a name="line-627"></a><span class='hs-comment'>-- the result.</span>
<a name="line-628"></a><span class='hs-comment'>--</span>
<a name="line-629"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.&&=') is more flexible.</span>
<a name="line-630"></a><span class='hs-comment'>--</span>
<a name="line-631"></a><span class='hs-comment'>-- @</span>
<a name="line-632"></a><span class='hs-comment'>-- ('<&&=') :: 'MonadState' s m => 'Simple' 'Lens' s 'Bool' -> 'Bool' -> m 'Bool'</span>
<a name="line-633"></a><span class='hs-comment'>-- ('<&&=') :: 'MonadState' s m => 'Simple' 'Control.Lens.Iso.Iso' s 'Bool' -> 'Bool' -> m 'Bool'</span>
<a name="line-634"></a><span class='hs-comment'>-- @</span>
<a name="line-635"></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'>=></span> <span class='hs-conid'>SimpleLensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-conid'>Bool</span>
<a name="line-636"></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'>l</span> <span class='hs-varop'><%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>&&</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-637"></a><span class='hs-comment'>{-# INLINE (<&&=) #-}</span>
<a name="line-638"></a>
<a name="line-639"></a><a name="%3c%3c%25="></a><span class='hs-comment'>-- | Modify the target of a 'Lens' into your monad's state by a user supplied</span>
<a name="line-640"></a><span class='hs-comment'>-- function and return the /old/ value that was replaced.</span>
<a name="line-641"></a><span class='hs-comment'>--</span>
<a name="line-642"></a><span class='hs-comment'>-- When applied to a 'Control.Lens.Traversal.Traversal', it this will return a monoidal summary of all of the old values</span>
<a name="line-643"></a><span class='hs-comment'>-- present.</span>
<a name="line-644"></a><span class='hs-comment'>--</span>
<a name="line-645"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.%=') is more flexible.</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'>-- ('<<%=') :: 'MonadState' s m => 'Simple' 'Lens' s a -> (a -> a) -> m a</span>
<a name="line-649"></a><span class='hs-comment'>-- ('<<%=') :: 'MonadState' s m => 'Simple' 'Control.Lens.Iso.Iso' s a -> (a -> a) -> m a</span>
<a name="line-650"></a><span class='hs-comment'>-- ('<<%=') :: ('MonadState' s m, 'Monoid' b) => 'Simple' 'Traveral' s a -> (a -> a) -> m a</span>
<a name="line-651"></a><span class='hs-comment'>-- @</span>
<a name="line-652"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</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'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-653"></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'>l</span> <span class='hs-varop'>%%=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-654"></a><span class='hs-comment'>{-# INLINE (<<%=) #-}</span>
<a name="line-655"></a>
<a name="line-656"></a><a name="%3c%3c.="></a><span class='hs-comment'>-- | Modify the target of a 'Lens' into your monad's state by a user supplied</span>
<a name="line-657"></a><span class='hs-comment'>-- function and return the /old/ value that was replaced.</span>
<a name="line-658"></a><span class='hs-comment'>--</span>
<a name="line-659"></a><span class='hs-comment'>-- When applied to a 'Control.Lens.Traversal.Traversal', it this will return a monoidal summary of all of the old values</span>
<a name="line-660"></a><span class='hs-comment'>-- present.</span>
<a name="line-661"></a><span class='hs-comment'>--</span>
<a name="line-662"></a><span class='hs-comment'>-- When you do not need the result of the operation, ('Control.Lens.Setter.%=') is more flexible.</span>
<a name="line-663"></a><span class='hs-comment'>--</span>
<a name="line-664"></a><span class='hs-comment'>-- @</span>
<a name="line-665"></a><span class='hs-comment'>-- ('<<%=') :: 'MonadState' s m => 'Simple' 'Lens' s a -> (a -> a) -> m a</span>
<a name="line-666"></a><span class='hs-comment'>-- ('<<%=') :: 'MonadState' s m => 'Simple' 'Control.Lens.Iso.Iso' s a -> (a -> a) -> m a</span>
<a name="line-667"></a><span class='hs-comment'>-- ('<<%=') :: ('MonadState' s m, 'Monoid' t) => 'Simple' 'Traveral' s a -> (a -> a) -> m a</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-conid'>MonadState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</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'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-670"></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'>l</span> <span class='hs-varop'>%%=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</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="%3c%3c~"></a><span class='hs-comment'>-- | Run a monadic action, and set the target of 'Lens' to its result.</span>
<a name="line-674"></a><span class='hs-comment'>--</span>
<a name="line-675"></a><span class='hs-comment'>-- @</span>
<a name="line-676"></a><span class='hs-comment'>-- ('<<~') :: 'MonadState' s m => 'Control.Lens.Iso.Iso' s s a b -> m b -> m b</span>
<a name="line-677"></a><span class='hs-comment'>-- ('<<~') :: 'MonadState' s m => 'Control.Lens.Type.Lens' s s a b -> m b -> m b</span>
<a name="line-678"></a><span class='hs-comment'>-- @</span>
<a name="line-679"></a><span class='hs-comment'>--</span>
<a name="line-680"></a><span class='hs-comment'>-- NB: This is limited to taking an actual 'Lens' than admitting a 'Control.Lens.Traversal.Traversal' because</span>
<a name="line-681"></a><span class='hs-comment'>-- there are potential loss of state issues otherwise.</span>
<a name="line-682"></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'>=></span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span>
<a name="line-683"></a><span class='hs-definition'>l</span> <span class='hs-varop'><<~</span> <span class='hs-varid'>mb</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-684"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mb</span>
<a name="line-685"></a> <span class='hs-varid'>modify</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>Context</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>Context</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span>
<a name="line-686"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>b</span>
<a name="line-687"></a><span class='hs-comment'>{-# INLINE (<<~) #-}</span>
<a name="line-688"></a>
<a name="line-689"></a><a name="ReifiedLens"></a><span class='hs-comment'>-- | Useful for storing lenses in containers.</span>
<a name="line-690"></a><a name="ReifiedLens"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>ReifiedLens</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'>ReifyLens</span> <span class='hs-layout'>{</span> <span class='hs-varid'>reflectLens</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Lens</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-layout'>}</span>
<a name="line-691"></a>
<a name="line-692"></a><a name="SimpleReifiedLens"></a><span class='hs-comment'>-- | @type 'SimpleReifiedLens' = 'Simple' 'ReifiedLens'@</span>
<a name="line-693"></a><a name="SimpleReifiedLens"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>SimpleReifiedLens</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ReifiedLens</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>
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