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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/Data/Bits/Lens.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 FlexibleContexts #-}</span>
<a name="line-4"></a>
<a name="line-5"></a><span class='hs-cpp'>#ifndef MIN_VERSION_base</span>
<a name="line-6"></a><span class='hs-cpp'>#define MIN_VERSION_base(x,y,z) 1</span>
<a name="line-7"></a><span class='hs-cpp'>#endif</span>
<a name="line-8"></a>
<a name="line-9"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-10"></a><span class='hs-comment'>-- |</span>
<a name="line-11"></a><span class='hs-comment'>-- Module      :  Data.Bits.Lens</span>
<a name="line-12"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-16 Edward Kmett</span>
<a name="line-13"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-14"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-15"></a><span class='hs-comment'>-- Stability   :  experimental</span>
<a name="line-16"></a><span class='hs-comment'>-- Portability :  LiberalTypeSynonyms</span>
<a name="line-17"></a><span class='hs-comment'>--</span>
<a name="line-18"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-19"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bits</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-20"></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'>.&amp;.~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;.|.~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;.&amp;.~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.|.~</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.&amp;.~</span><span class='hs-layout'>)</span>
<a name="line-21"></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'>.&amp;.=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;.|.=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;.&amp;.=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.|.=</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.&amp;.=</span><span class='hs-layout'>)</span>
<a name="line-22"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bitAt</span>
<a name="line-23"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bits</span>
<a name="line-24"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>byteAt</span>
<a name="line-25"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bytewise</span>
<a name="line-26"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-27"></a>
<a name="line-28"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span>
<a name="line-29"></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>
<a name="line-30"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bits</span>
<a name="line-31"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Word</span>
<a name="line-32"></a>
<a name="line-33"></a><span class='hs-cpp'>#if !MIN_VERSION_base(4,8,0)</span>
<a name="line-34"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span>
<a name="line-35"></a><span class='hs-cpp'>#endif</span>
<a name="line-36"></a>
<a name="line-37"></a><span class='hs-comment'>-- $setup</span>
<a name="line-38"></a><span class='hs-comment'>-- &gt;&gt;&gt; :set -XNoOverloadedStrings</span>
<a name="line-39"></a><span class='hs-comment'>-- &gt;&gt;&gt; import Data.Word</span>
<a name="line-40"></a>
<a name="line-41"></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'>.&amp;.~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.|.~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.&amp;.~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&lt;.|.~</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&lt;.&amp;.~</span>
<a name="line-42"></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'>.&amp;.=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.|.=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;.&amp;.=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&lt;.|.=</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&lt;.&amp;.=</span>
<a name="line-43"></a>
<a name="line-44"></a><a name=".%7c.~"></a><span class='hs-comment'>-- | Bitwise '.|.' the target(s) of a 'Lens' or 'Setter'.</span>
<a name="line-45"></a><span class='hs-comment'>--</span>
<a name="line-46"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2 .|.~ 6 $ ("hello",3)</span>
<a name="line-47"></a><span class='hs-comment'>-- ("hello",7)</span>
<a name="line-48"></a><span class='hs-comment'>--</span>
<a name="line-49"></a><span class='hs-comment'>-- @</span>
<a name="line-50"></a><span class='hs-comment'>-- ('.|.~') :: 'Bits' a             =&gt; 'Setter' s t a a    -&gt; a -&gt; s -&gt; t</span>
<a name="line-51"></a><span class='hs-comment'>-- ('.|.~') :: 'Bits' a             =&gt; 'Iso' s t a a       -&gt; a -&gt; s -&gt; t</span>
<a name="line-52"></a><span class='hs-comment'>-- ('.|.~') :: 'Bits' a             =&gt; 'Lens' s t a a      -&gt; a -&gt; s -&gt; t</span>
<a name="line-53"></a><span class='hs-comment'>-- ('.|.~') :: ('Data.Monoid.Monoid' a, 'Bits' a) =&gt; 'Traversal' s t a a -&gt; a -&gt; s -&gt; t</span>
<a name="line-54"></a><span class='hs-comment'>-- @</span>
<a name="line-55"></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'>Bits</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-56"></a><a name="l"></a><span class='hs-definition'>l</span> <span class='hs-varop'>.|.~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>.|.</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-57"></a><span class='hs-comment'>{-# INLINE (.|.~) #-}</span>
<a name="line-58"></a>
<a name="line-59"></a><a name=".&.~"></a><span class='hs-comment'>-- | Bitwise '.&amp;.' the target(s) of a 'Lens' or 'Setter'.</span>
<a name="line-60"></a><span class='hs-comment'>--</span>
<a name="line-61"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2 .&amp;.~ 7 $ ("hello",254)</span>
<a name="line-62"></a><span class='hs-comment'>-- ("hello",6)</span>
<a name="line-63"></a><span class='hs-comment'>--</span>
<a name="line-64"></a><span class='hs-comment'>-- @</span>
<a name="line-65"></a><span class='hs-comment'>-- ('.&amp;.~') :: 'Bits' a             =&gt; 'Setter' s t a a    -&gt; a -&gt; s -&gt; t</span>
<a name="line-66"></a><span class='hs-comment'>-- ('.&amp;.~') :: 'Bits' a             =&gt; 'Iso' s t a a       -&gt; a -&gt; s -&gt; t</span>
<a name="line-67"></a><span class='hs-comment'>-- ('.&amp;.~') :: 'Bits' a             =&gt; 'Lens' s t a a      -&gt; a -&gt; s -&gt; t</span>
<a name="line-68"></a><span class='hs-comment'>-- ('.&amp;.~') :: ('Data.Monoid.Monoid' a, 'Bits' a) =&gt; 'Traversal' s t a a -&gt; a -&gt; s -&gt; t</span>
<a name="line-69"></a><span class='hs-comment'>-- @</span>
<a name="line-70"></a><span class='hs-layout'>(</span><span class='hs-varop'>.&amp;.~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-71"></a><span class='hs-definition'>l</span> <span class='hs-varop'>.&amp;.~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>over</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varop'>.&amp;.</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-72"></a><span class='hs-comment'>{-# INLINE (.&amp;.~) #-}</span>
<a name="line-73"></a>
<a name="line-74"></a><a name=".&.="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Setter'' or 'Traversal'' by computing its bitwise '.&amp;.' with another value.</span>
<a name="line-75"></a><span class='hs-comment'>--</span>
<a name="line-76"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 .&amp;.= 15; _2 .&amp;.= 3) (7,7)</span>
<a name="line-77"></a><span class='hs-comment'>-- (7,3)</span>
<a name="line-78"></a><span class='hs-comment'>--</span>
<a name="line-79"></a><span class='hs-comment'>-- @</span>
<a name="line-80"></a><span class='hs-comment'>-- ('.&amp;.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-81"></a><span class='hs-comment'>-- ('.&amp;.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-82"></a><span class='hs-comment'>-- ('.&amp;.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-83"></a><span class='hs-comment'>-- ('.&amp;.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-84"></a><span class='hs-comment'>-- @</span>
<a name="line-85"></a><span class='hs-layout'>(</span><span class='hs-varop'>.&amp;.=</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'>Bits</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-86"></a><span class='hs-definition'>l</span> <span class='hs-varop'>.&amp;.=</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>.&amp;.~</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-87"></a><span class='hs-comment'>{-# INLINE (.&amp;.=) #-}</span>
<a name="line-88"></a>
<a name="line-89"></a><a name=".%7c.="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', 'Setter' or 'Traversal' by computing its bitwise '.|.' with another value.</span>
<a name="line-90"></a><span class='hs-comment'>--</span>
<a name="line-91"></a><span class='hs-comment'>-- &gt;&gt;&gt; execState (do _1 .|.= 15; _2 .|.= 3) (7,7)</span>
<a name="line-92"></a><span class='hs-comment'>-- (15,7)</span>
<a name="line-93"></a><span class='hs-comment'>--</span>
<a name="line-94"></a><span class='hs-comment'>-- @</span>
<a name="line-95"></a><span class='hs-comment'>-- ('.|.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Setter'' s a    -&gt; a -&gt; m ()</span>
<a name="line-96"></a><span class='hs-comment'>-- ('.|.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Iso'' s a       -&gt; a -&gt; m ()</span>
<a name="line-97"></a><span class='hs-comment'>-- ('.|.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Lens'' s a      -&gt; a -&gt; m ()</span>
<a name="line-98"></a><span class='hs-comment'>-- ('.|.=') :: ('MonadState' s m, 'Bits' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m ()</span>
<a name="line-99"></a><span class='hs-comment'>-- @</span>
<a name="line-100"></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'>Bits</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>ASetter'</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-conid'>()</span>
<a name="line-101"></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'>modify</span> <span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>.|.~</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-102"></a><span class='hs-comment'>{-# INLINE (.|.=) #-}</span>
<a name="line-103"></a>
<a name="line-104"></a><a name="%3c.%7c.~"></a><span class='hs-comment'>-- | Bitwise '.|.' the target(s) of a 'Lens' (or 'Traversal'), returning the result</span>
<a name="line-105"></a><span class='hs-comment'>-- (or a monoidal summary of all of the results).</span>
<a name="line-106"></a><span class='hs-comment'>--</span>
<a name="line-107"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2 &lt;.|.~ 6 $ ("hello",3)</span>
<a name="line-108"></a><span class='hs-comment'>-- (7,("hello",7))</span>
<a name="line-109"></a><span class='hs-comment'>--</span>
<a name="line-110"></a><span class='hs-comment'>-- @</span>
<a name="line-111"></a><span class='hs-comment'>-- ('&lt;.|.~') :: 'Bits' a             =&gt; 'Iso' s t a a       -&gt; a -&gt; s -&gt; (a, t)</span>
<a name="line-112"></a><span class='hs-comment'>-- ('&lt;.|.~') :: 'Bits' a             =&gt; 'Lens' s t a a      -&gt; a -&gt; s -&gt; (a, t)</span>
<a name="line-113"></a><span class='hs-comment'>-- ('&lt;.|.~') :: ('Bits' a, 'Data.Monoid.Monoid' a) =&gt; 'Traversal' s t a a -&gt; a -&gt; s -&gt; (a, t)</span>
<a name="line-114"></a><span class='hs-comment'>-- @</span>
<a name="line-115"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.|.~</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-116"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;.|.~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>&lt;%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>.|.</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-117"></a><span class='hs-comment'>{-# INLINE (&lt;.|.~) #-}</span>
<a name="line-118"></a>
<a name="line-119"></a><a name="%3c.&.~"></a><span class='hs-comment'>-- | Bitwise '.&amp;.' the target(s) of a 'Lens' or 'Traversal', returning the result</span>
<a name="line-120"></a><span class='hs-comment'>-- (or a monoidal summary of all of the results).</span>
<a name="line-121"></a><span class='hs-comment'>--</span>
<a name="line-122"></a><span class='hs-comment'>-- &gt;&gt;&gt; _2 &lt;.&amp;.~ 7 $ ("hello",254)</span>
<a name="line-123"></a><span class='hs-comment'>-- (6,("hello",6))</span>
<a name="line-124"></a><span class='hs-comment'>--</span>
<a name="line-125"></a><span class='hs-comment'>-- @</span>
<a name="line-126"></a><span class='hs-comment'>-- ('&lt;.&amp;.~') :: 'Bits' a             =&gt; 'Iso'       s t a a -&gt; a -&gt; s -&gt; (a, t)</span>
<a name="line-127"></a><span class='hs-comment'>-- ('&lt;.&amp;.~') :: 'Bits' a             =&gt; 'Lens'      s t a a -&gt; a -&gt; s -&gt; (a, t)</span>
<a name="line-128"></a><span class='hs-comment'>-- ('&lt;.&amp;.~') :: ('Bits' a, 'Data.Monoid.Monoid' a) =&gt; 'Traversal' s t a a -&gt; a -&gt; s -&gt; (a, t)</span>
<a name="line-129"></a><span class='hs-comment'>-- @</span>
<a name="line-130"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.&amp;.~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-131"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;.&amp;.~</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>&lt;%~</span> <span class='hs-layout'>(</span><span class='hs-varop'>.&amp;.</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-132"></a><span class='hs-comment'>{-# INLINE (&lt;.&amp;.~) #-}</span>
<a name="line-133"></a>
<a name="line-134"></a><a name="%3c.&.="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'' (or 'Traversal'') by computing its bitwise '.&amp;.' with another value,</span>
<a name="line-135"></a><span class='hs-comment'>-- returning the result (or a monoidal summary of all of the results traversed).</span>
<a name="line-136"></a><span class='hs-comment'>--</span>
<a name="line-137"></a><span class='hs-comment'>-- &gt;&gt;&gt; runState (_1 &lt;.&amp;.= 15) (31,0)</span>
<a name="line-138"></a><span class='hs-comment'>-- (15,(15,0))</span>
<a name="line-139"></a><span class='hs-comment'>--</span>
<a name="line-140"></a><span class='hs-comment'>-- @</span>
<a name="line-141"></a><span class='hs-comment'>-- ('&lt;.&amp;.=') :: ('MonadState' s m, 'Bits' a)           =&gt; 'Lens'' s a      -&gt; a -&gt; m a</span>
<a name="line-142"></a><span class='hs-comment'>-- ('&lt;.&amp;.=') :: ('MonadState' s m, 'Bits' a, 'Data.Monoid.Monoid' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m a</span>
<a name="line-143"></a><span class='hs-comment'>-- @</span>
<a name="line-144"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.&amp;.=</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'>Bits</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike'</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-145"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;.&amp;.=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>&lt;%=</span> <span class='hs-layout'>(</span><span class='hs-varop'>.&amp;.</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-146"></a><span class='hs-comment'>{-# INLINE (&lt;.&amp;.=) #-}</span>
<a name="line-147"></a>
<a name="line-148"></a><a name="%3c.%7c.="></a><span class='hs-comment'>-- | Modify the target(s) of a 'Lens'', (or 'Traversal') by computing its bitwise '.|.' with another value,</span>
<a name="line-149"></a><span class='hs-comment'>-- returning the result (or a monoidal summary of all of the results traversed).</span>
<a name="line-150"></a><span class='hs-comment'>--</span>
<a name="line-151"></a><span class='hs-comment'>-- &gt;&gt;&gt; runState (_1 &lt;.|.= 7) (28,0)</span>
<a name="line-152"></a><span class='hs-comment'>-- (31,(31,0))</span>
<a name="line-153"></a><span class='hs-comment'>--</span>
<a name="line-154"></a><span class='hs-comment'>-- @</span>
<a name="line-155"></a><span class='hs-comment'>-- ('&lt;.|.=') :: ('MonadState' s m, 'Bits' a)           =&gt; 'Lens'' s a      -&gt; a -&gt; m a</span>
<a name="line-156"></a><span class='hs-comment'>-- ('&lt;.|.=') :: ('MonadState' s m, 'Bits' a, 'Data.Monoid.Monoid' a) =&gt; 'Traversal'' s a -&gt; a -&gt; m a</span>
<a name="line-157"></a><span class='hs-comment'>-- @</span>
<a name="line-158"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;.|.=</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-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'>Bits</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike'</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-159"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;.|.=</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>&lt;%=</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-160"></a><span class='hs-comment'>{-# INLINE (&lt;.|.=) #-}</span>
<a name="line-161"></a>
<a name="line-162"></a><a name="%3c%3c.&.~"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.&amp;.~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Optical'</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>q</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'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>q</span> <span class='hs-varid'>s</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-163"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;&lt;.&amp;.~</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-varop'>.&amp;.</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-164"></a><span class='hs-comment'>{-# INLINE (&lt;&lt;.&amp;.~) #-}</span>
<a name="line-165"></a>
<a name="line-166"></a><a name="%3c%3c.%7c.~"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.|.~</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Optical'</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-&gt;</span><span class='hs-layout'>)</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>q</span> <span class='hs-varid'>s</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-167"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;&lt;.|.~</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</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-varop'>.|.</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-168"></a><span class='hs-comment'>{-# INLINE (&lt;&lt;.|.~) #-}</span>
<a name="line-169"></a>
<a name="line-170"></a><a name="%3c%3c.&.="></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.&amp;.=</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'>Bits</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike'</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-171"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;&lt;.&amp;.=</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'>-&gt;</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-varop'>.&amp;.</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-172"></a><span class='hs-comment'>{-# INLINE (&lt;&lt;.&amp;.=) #-}</span>
<a name="line-173"></a>
<a name="line-174"></a><a name="%3c%3c.%7c.="></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;.|.=</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'>Bits</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>LensLike'</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a</span>
<a name="line-175"></a><span class='hs-definition'>l</span> <span class='hs-varop'>&lt;&lt;.|.=</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'>-&gt;</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-varop'>.|.</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-176"></a><span class='hs-comment'>{-# INLINE (&lt;&lt;.|.=) #-}</span>
<a name="line-177"></a>
<a name="line-178"></a><a name="bitAt"></a><span class='hs-comment'>-- | This 'Lens' can be used to access the value of the nth bit in a number.</span>
<a name="line-179"></a><span class='hs-comment'>--</span>
<a name="line-180"></a><span class='hs-comment'>-- @'bitAt' n@ is only a legal 'Lens' into @b@ if @0 '&lt;=' n '&lt;' 'bitSize' ('undefined' :: b)@.</span>
<a name="line-181"></a><span class='hs-comment'>--</span>
<a name="line-182"></a><span class='hs-comment'>-- &gt;&gt;&gt; 16^.bitAt 4</span>
<a name="line-183"></a><span class='hs-comment'>-- True</span>
<a name="line-184"></a><span class='hs-comment'>--</span>
<a name="line-185"></a><span class='hs-comment'>-- &gt;&gt;&gt; 15^.bitAt 4</span>
<a name="line-186"></a><span class='hs-comment'>-- False</span>
<a name="line-187"></a><span class='hs-comment'>--</span>
<a name="line-188"></a><span class='hs-comment'>-- &gt;&gt;&gt; 15 &amp; bitAt 4 .~ True</span>
<a name="line-189"></a><span class='hs-comment'>-- 31</span>
<a name="line-190"></a><span class='hs-comment'>--</span>
<a name="line-191"></a><span class='hs-comment'>-- &gt;&gt;&gt; 16 &amp; bitAt 4 .~ False</span>
<a name="line-192"></a><span class='hs-comment'>-- 0</span>
<a name="line-193"></a><span class='hs-definition'>bitAt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedLens'</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>b</span> <span class='hs-conid'>Bool</span>
<a name="line-194"></a><span class='hs-definition'>bitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>testBit</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&amp;&gt;</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>x</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>setBit</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>clearBit</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span>
<a name="line-195"></a><span class='hs-comment'>{-# INLINE bitAt #-}</span>
<a name="line-196"></a>
<a name="line-197"></a><a name="byteAt"></a><span class='hs-comment'>-- | Get the nth byte, counting from the low end.</span>
<a name="line-198"></a><span class='hs-comment'>--</span>
<a name="line-199"></a><span class='hs-comment'>-- @'byteAt' n@ is a legal 'Lens' into @b@ iff @0 '&lt;=' n '&lt;' 'div' ('bitSize' ('undefined' :: b)) 8@</span>
<a name="line-200"></a><span class='hs-comment'>--</span>
<a name="line-201"></a><span class='hs-comment'>-- &gt;&gt;&gt; (0xff00 :: Word16)^.byteAt 0</span>
<a name="line-202"></a><span class='hs-comment'>-- 0</span>
<a name="line-203"></a><span class='hs-comment'>--</span>
<a name="line-204"></a><span class='hs-comment'>-- &gt;&gt;&gt; (0xff00 :: Word16)^.byteAt 1</span>
<a name="line-205"></a><span class='hs-comment'>-- 255</span>
<a name="line-206"></a><span class='hs-comment'>--</span>
<a name="line-207"></a><span class='hs-comment'>-- &gt;&gt;&gt; byteAt 1 .~ 0 $ 0xff00 :: Word16</span>
<a name="line-208"></a><span class='hs-comment'>-- 0</span>
<a name="line-209"></a><span class='hs-comment'>--</span>
<a name="line-210"></a><span class='hs-comment'>-- &gt;&gt;&gt; byteAt 0 .~ 0xff $ 0 :: Word16</span>
<a name="line-211"></a><span class='hs-comment'>-- 255</span>
<a name="line-212"></a><span class='hs-definition'>byteAt</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integral</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>IndexedLens'</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>b</span> <span class='hs-conid'>Word8</span>
<a name="line-213"></a><span class='hs-definition'>byteAt</span> <span class='hs-varid'>i</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>back</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>forward</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-214"></a>  <span class='hs-varid'>back</span> <span class='hs-varid'>w8</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>w8</span> <span class='hs-varop'>`shiftL`</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>*</span> <span class='hs-num'>8</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-215"></a>    <span class='hs-varop'>.|.</span> <span class='hs-layout'>(</span><span class='hs-varid'>complement</span> <span class='hs-layout'>(</span><span class='hs-num'>255</span> <span class='hs-varop'>`shiftL`</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>*</span> <span class='hs-num'>8</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.&amp;.</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-216"></a>  <span class='hs-varid'>forward</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varop'>.&amp;.</span><span class='hs-layout'>)</span> <span class='hs-num'>0xff</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>shiftR</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>*</span> <span class='hs-num'>8</span><span class='hs-layout'>)</span>
<a name="line-217"></a>
<a name="line-218"></a>
<a name="line-219"></a><a name="bits"></a><span class='hs-comment'>-- | Traverse over all bits in a numeric type.</span>
<a name="line-220"></a><span class='hs-comment'>--</span>
<a name="line-221"></a><span class='hs-comment'>-- The bit position is available as the index.</span>
<a name="line-222"></a><span class='hs-comment'>--</span>
<a name="line-223"></a><span class='hs-comment'>-- &gt;&gt;&gt; toListOf bits (5 :: Word8)</span>
<a name="line-224"></a><span class='hs-comment'>-- [True,False,True,False,False,False,False,False]</span>
<a name="line-225"></a><span class='hs-comment'>--</span>
<a name="line-226"></a><span class='hs-comment'>-- If you supply this an 'Integer', the result will be an infinite 'Traversal', which</span>
<a name="line-227"></a><span class='hs-comment'>-- can be productively consumed, but not reassembled.</span>
<a name="line-228"></a><span class='hs-definition'>bits</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>b</span> <span class='hs-conid'>Bool</span>
<a name="line-229"></a><span class='hs-definition'>bits</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>foldr</span> <span class='hs-varid'>step</span> <span class='hs-num'>0</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>g</span> <span class='hs-varid'>bs</span> <span class='hs-keyword'>where</span>
<a name="line-230"></a>  <span class='hs-varid'>g</span> <span class='hs-varid'>n</span>      <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>n</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>testBit</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-231"></a>  <span class='hs-varid'>bs</span>       <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>takeWhile</span> <span class='hs-varid'>hasBit</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-keyglyph'>]</span>
<a name="line-232"></a>  <span class='hs-varid'>hasBit</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>complementBit</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span> <span class='hs-varop'>/=</span> <span class='hs-varid'>b</span> <span class='hs-comment'>-- test to make sure that complementing this bit actually changes the value</span>
<a name="line-233"></a>  <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>setBit</span> <span class='hs-varid'>r</span> <span class='hs-varid'>n</span>
<a name="line-234"></a>  <span class='hs-varid'>step</span> <span class='hs-keyword'>_</span>        <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>r</span>
<a name="line-235"></a><span class='hs-comment'>{-# INLINE bits #-}</span>
<a name="line-236"></a>
<a name="line-237"></a><a name="bytewise"></a><span class='hs-comment'>-- | Traverse over all the bytes in an integral type, from the low end.</span>
<a name="line-238"></a><span class='hs-comment'>--</span>
<a name="line-239"></a><span class='hs-comment'>-- The byte position is available as the index.</span>
<a name="line-240"></a><span class='hs-comment'>--</span>
<a name="line-241"></a><span class='hs-comment'>-- &gt;&gt;&gt; toListOf bytewise (1312301580 :: Word32)</span>
<a name="line-242"></a><span class='hs-comment'>-- [12,34,56,78]</span>
<a name="line-243"></a><span class='hs-comment'>--</span>
<a name="line-244"></a><span class='hs-comment'>-- If you supply this an 'Integer', the result will be an infinite 'Traversal',</span>
<a name="line-245"></a><span class='hs-comment'>-- which can be productively consumed, but not reassembled.</span>
<a name="line-246"></a><span class='hs-comment'>--</span>
<a name="line-247"></a><span class='hs-comment'>-- Why isn't this function called @bytes@ to match 'bits'? Alas, there</span>
<a name="line-248"></a><span class='hs-comment'>-- is already a function by that name in "Data.ByteString.Lens".</span>
<a name="line-249"></a><span class='hs-definition'>bytewise</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integral</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bits</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>IndexedTraversal'</span> <span class='hs-conid'>Int</span> <span class='hs-varid'>b</span> <span class='hs-conid'>Word8</span>
<a name="line-250"></a><span class='hs-definition'>bytewise</span> <span class='hs-varid'>f</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>foldr</span> <span class='hs-varid'>step</span> <span class='hs-num'>0</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>g</span> <span class='hs-varid'>bs</span> <span class='hs-keyword'>where</span>
<a name="line-251"></a>  <span class='hs-varid'>g</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>n</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>indexed</span> <span class='hs-varid'>f</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varop'>$</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`shiftR`</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-varop'>*</span><span class='hs-num'>8</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-252"></a>  <span class='hs-varid'>bs</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>takeWhile</span> <span class='hs-varid'>hasByte</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-keyglyph'>]</span>
<a name="line-253"></a>  <span class='hs-varid'>hasByte</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>complementBit</span> <span class='hs-varid'>b</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-varop'>*</span><span class='hs-num'>8</span><span class='hs-layout'>)</span> <span class='hs-varop'>/=</span> <span class='hs-varid'>b</span>
<a name="line-254"></a>  <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>r</span> <span class='hs-varop'>.|.</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`shiftL`</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-varop'>*</span><span class='hs-num'>8</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-255"></a><span class='hs-comment'>{-# INLINE bytewise #-}</span>
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