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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Data.Bits.Lens</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Data-Bits-Lens.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">lens-4.13: Lenses, Folds and Traversals</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Copyright</th><td>(C) 2012-15 Edward Kmett</td></tr><tr><th>License</th><td>BSD-style (see the file LICENSE)</td></tr><tr><th>Maintainer</th><td>Edward Kmett &lt;ekmett@gmail.com&gt;</td></tr><tr><th>Stability</th><td>experimental</td></tr><tr><th>Portability</th><td>LiberalTypeSynonyms</td></tr><tr><th>Safe Haskell</th><td>None</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Data.Bits.Lens</p></div><div id="description"><p class="caption">Description</p><div class="doc empty">&nbsp;</div></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><a href="#v:.-124-.-126-">(.|.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Setter.html#t:ASetter">ASetter</a> s t a a -&gt; a -&gt; s -&gt; t</li><li class="src short"><a href="#v:.-38-.-126-">(.&amp;.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Setter.html#t:ASetter">ASetter</a> s t a a -&gt; a -&gt; s -&gt; t</li><li class="src short"><a href="#v:-60-.-124-.-126-">(&lt;.|.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:LensLike">LensLike</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s t a a -&gt; a -&gt; s -&gt; (a, t)</li><li class="src short"><a href="#v:-60-.-38-.-126-">(&lt;.&amp;.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:LensLike">LensLike</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s t a a -&gt; a -&gt; s -&gt; (a, t)</li><li class="src short"><a href="#v:-60--60-.-124-.-126-">(&lt;&lt;.|.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:Optical-39-">Optical'</a> (-&gt;) q (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; q s (a, s)</li><li class="src short"><a href="#v:-60--60-.-38-.-126-">(&lt;&lt;.&amp;.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:Optical-39-">Optical'</a> (-&gt;) q (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; q s (a, s)</li><li class="src short"><a href="#v:.-124-.-61-">(.|.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Setter.html#t:ASetter-39-">ASetter'</a> s a -&gt; a -&gt; m ()</li><li class="src short"><a href="#v:.-38-.-61-">(.&amp;.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Setter.html#t:ASetter-39-">ASetter'</a> s a -&gt; a -&gt; m ()</li><li class="src short"><a href="#v:-60-.-124-.-61-">(&lt;.|.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a</li><li class="src short"><a href="#v:-60-.-38-.-61-">(&lt;.&amp;.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a</li><li class="src short"><a href="#v:-60--60-.-124-.-61-">(&lt;&lt;.|.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a</li><li class="src short"><a href="#v:-60--60-.-38-.-61-">(&lt;&lt;.&amp;.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a</li><li class="src short"><a href="#v:bitAt">bitAt</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Control-Lens-Type.html#t:IndexedLens-39-">IndexedLens'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:bits">bits</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Num">Num</a> b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b) =&gt; <a href="Control-Lens-Type.html#t:IndexedTraversal-39-">IndexedTraversal'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:byteAt">byteAt</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integral">Integral</a> b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b) =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Control-Lens-Type.html#t:IndexedLens-39-">IndexedLens'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Word.html#t:Word8">Word8</a></li><li class="src short"><a href="#v:bytewise">bytewise</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integral">Integral</a> b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b) =&gt; <a href="Control-Lens-Type.html#t:IndexedTraversal-39-">IndexedTraversal'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Word.html#t:Word8">Word8</a></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><a name="v:.-124-.-126-" class="def">(.|.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Setter.html#t:ASetter">ASetter</a> s t a a -&gt; a -&gt; s -&gt; t <span class="fixity">infixr 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#.%7C.~" class="link">Source</a></p><div class="doc"><p>Bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-124-.">.|.</a></code> the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> or <code><a href="Control-Lens-Type.html#t:Setter">Setter</a></code>.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>_2 .|.~ 6 $ (&quot;hello&quot;,3)
</code></strong>(&quot;hello&quot;,7)
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:.-124-.-126-">.|.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Setter">Setter</a></code> s t a a    -&gt; a -&gt; s -&gt; t
(<code><a href="Data-Bits-Lens.html#v:.-124-.-126-">.|.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Iso">Iso</a></code> s t a a       -&gt; a -&gt; s -&gt; t
(<code><a href="Data-Bits-Lens.html#v:.-124-.-126-">.|.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> s t a a      -&gt; a -&gt; s -&gt; t
(<code><a href="Data-Bits-Lens.html#v:.-124-.-126-">.|.~</a></code>) :: (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:Monoid">Monoid</a></code> a, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code> s t a a -&gt; a -&gt; s -&gt; t
</pre></div></div><div class="top"><p class="src"><a name="v:.-38-.-126-" class="def">(.&amp;.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Setter.html#t:ASetter">ASetter</a> s t a a -&gt; a -&gt; s -&gt; t <span class="fixity">infixr 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#.%26.~" class="link">Source</a></p><div class="doc"><p>Bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-38-.">.&amp;.</a></code> the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> or <code><a href="Control-Lens-Type.html#t:Setter">Setter</a></code>.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>_2 .&amp;.~ 7 $ (&quot;hello&quot;,254)
</code></strong>(&quot;hello&quot;,6)
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:.-38-.-126-">.&amp;.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Setter">Setter</a></code> s t a a    -&gt; a -&gt; s -&gt; t
(<code><a href="Data-Bits-Lens.html#v:.-38-.-126-">.&amp;.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Iso">Iso</a></code> s t a a       -&gt; a -&gt; s -&gt; t
(<code><a href="Data-Bits-Lens.html#v:.-38-.-126-">.&amp;.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> s t a a      -&gt; a -&gt; s -&gt; t
(<code><a href="Data-Bits-Lens.html#v:.-38-.-126-">.&amp;.~</a></code>) :: (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:Monoid">Monoid</a></code> a, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code> s t a a -&gt; a -&gt; s -&gt; t
</pre></div></div><div class="top"><p class="src"><a name="v:-60-.-124-.-126-" class="def">(&lt;.|.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:LensLike">LensLike</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s t a a -&gt; a -&gt; s -&gt; (a, t) <span class="fixity">infixr 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C.%7C.~" class="link">Source</a></p><div class="doc"><p>Bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-124-.">.|.</a></code> the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> (or <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code>), returning the result
 (or a monoidal summary of all of the results).</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>_2 &lt;.|.~ 6 $ (&quot;hello&quot;,3)
</code></strong>(7,(&quot;hello&quot;,7))
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:-60-.-124-.-126-">&lt;.|.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Iso">Iso</a></code> s t a a       -&gt; a -&gt; s -&gt; (a, t)
(<code><a href="Data-Bits-Lens.html#v:-60-.-124-.-126-">&lt;.|.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> s t a a      -&gt; a -&gt; s -&gt; (a, t)
(<code><a href="Data-Bits-Lens.html#v:-60-.-124-.-126-">&lt;.|.~</a></code>) :: (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:Monoid">Monoid</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code> s t a a -&gt; a -&gt; s -&gt; (a, t)
</pre></div></div><div class="top"><p class="src"><a name="v:-60-.-38-.-126-" class="def">(&lt;.&amp;.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:LensLike">LensLike</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s t a a -&gt; a -&gt; s -&gt; (a, t) <span class="fixity">infixr 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C.%26.~" class="link">Source</a></p><div class="doc"><p>Bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-38-.">.&amp;.</a></code> the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> or <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code>, returning the result
 (or a monoidal summary of all of the results).</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>_2 &lt;.&amp;.~ 7 $ (&quot;hello&quot;,254)
</code></strong>(6,(&quot;hello&quot;,6))
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:-60-.-38-.-126-">&lt;.&amp;.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Iso">Iso</a></code>       s t a a -&gt; a -&gt; s -&gt; (a, t)
(<code><a href="Data-Bits-Lens.html#v:-60-.-38-.-126-">&lt;.&amp;.~</a></code>) :: <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a             =&gt; <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code>      s t a a -&gt; a -&gt; s -&gt; (a, t)
(<code><a href="Data-Bits-Lens.html#v:-60-.-38-.-126-">&lt;.&amp;.~</a></code>) :: (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:Monoid">Monoid</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code> s t a a -&gt; a -&gt; s -&gt; (a, t)
</pre></div></div><div class="top"><p class="src"><a name="v:-60--60-.-124-.-126-" class="def">(&lt;&lt;.|.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:Optical-39-">Optical'</a> (-&gt;) q (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; q s (a, s) <span class="fixity">infixr 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C%3C.%7C.~" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:-60--60-.-38-.-126-" class="def">(&lt;&lt;.&amp;.~)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a =&gt; <a href="Control-Lens-Type.html#t:Optical-39-">Optical'</a> (-&gt;) q (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; q s (a, s) <span class="fixity">infixr 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C%3C.%26.~" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:.-124-.-61-" class="def">(.|.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Setter.html#t:ASetter-39-">ASetter'</a> s a -&gt; a -&gt; m () <span class="fixity">infix 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#.%7C.%3D" class="link">Source</a></p><div class="doc"><p>Modify the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code>, <code><a href="Control-Lens-Type.html#t:Setter">Setter</a></code> or <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code> by computing its bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-124-.">.|.</a></code> with another value.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>execState (do _1 .|.= 15; _2 .|.= 3) (7,7)
</code></strong>(15,7)
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:.-124-.-61-">.|.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Setter-39-">Setter'</a></code> s a    -&gt; a -&gt; m ()
(<code><a href="Data-Bits-Lens.html#v:.-124-.-61-">.|.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Iso-39-">Iso'</a></code> s a       -&gt; a -&gt; m ()
(<code><a href="Data-Bits-Lens.html#v:.-124-.-61-">.|.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code> s a      -&gt; a -&gt; m ()
(<code><a href="Data-Bits-Lens.html#v:.-124-.-61-">.|.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal-39-">Traversal'</a></code> s a -&gt; a -&gt; m ()
</pre></div></div><div class="top"><p class="src"><a name="v:.-38-.-61-" class="def">(.&amp;.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Setter.html#t:ASetter-39-">ASetter'</a> s a -&gt; a -&gt; m () <span class="fixity">infix 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#.%26.%3D" class="link">Source</a></p><div class="doc"><p>Modify the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code>, <code><a href="Control-Lens-Type.html#t:Setter-39-">Setter'</a></code> or <code><a href="Control-Lens-Type.html#t:Traversal-39-">Traversal'</a></code> by computing its bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-38-.">.&amp;.</a></code> with another value.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>execState (do _1 .&amp;.= 15; _2 .&amp;.= 3) (7,7)
</code></strong>(7,3)
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:.-38-.-61-">.&amp;.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Setter-39-">Setter'</a></code> s a    -&gt; a -&gt; m ()
(<code><a href="Data-Bits-Lens.html#v:.-38-.-61-">.&amp;.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Iso-39-">Iso'</a></code> s a       -&gt; a -&gt; m ()
(<code><a href="Data-Bits-Lens.html#v:.-38-.-61-">.&amp;.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code> s a      -&gt; a -&gt; m ()
(<code><a href="Data-Bits-Lens.html#v:.-38-.-61-">.&amp;.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal-39-">Traversal'</a></code> s a -&gt; a -&gt; m ()
</pre></div></div><div class="top"><p class="src"><a name="v:-60-.-124-.-61-" class="def">(&lt;.|.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a <span class="fixity">infix 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C.%7C.%3D" class="link">Source</a></p><div class="doc"><p>Modify the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code>, (or <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code>) by computing its bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-124-.">.|.</a></code> with another value,
 returning the result (or a monoidal summary of all of the results traversed).</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>runState (_1 &lt;.|.= 7) (28,0)
</code></strong>(31,(31,0))
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:-60-.-124-.-61-">&lt;.|.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a)           =&gt; <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code> s a      -&gt; a -&gt; m a
(<code><a href="Data-Bits-Lens.html#v:-60-.-124-.-61-">&lt;.|.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:Monoid">Monoid</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal-39-">Traversal'</a></code> s a -&gt; a -&gt; m a
</pre></div></div><div class="top"><p class="src"><a name="v:-60-.-38-.-61-" class="def">(&lt;.&amp;.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a <span class="fixity">infix 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C.%26.%3D" class="link">Source</a></p><div class="doc"><p>Modify the target(s) of a <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code> (or <code><a href="Control-Lens-Type.html#t:Traversal-39-">Traversal'</a></code>) by computing its bitwise <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:.-38-.">.&amp;.</a></code> with another value,
 returning the result (or a monoidal summary of all of the results traversed).</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>runState (_1 &lt;.&amp;.= 15) (31,0)
</code></strong>(15,(15,0))
</pre><pre>(<code><a href="Data-Bits-Lens.html#v:-60-.-38-.-61-">&lt;.&amp;.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a)           =&gt; <code><a href="Control-Lens-Type.html#t:Lens-39-">Lens'</a></code> s a      -&gt; a -&gt; m a
(<code><a href="Data-Bits-Lens.html#v:-60-.-38-.-61-">&lt;.&amp;.=</a></code>) :: (<code><a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a></code> s m, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a></code> a, <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:Monoid">Monoid</a></code> a) =&gt; <code><a href="Control-Lens-Type.html#t:Traversal-39-">Traversal'</a></code> s a -&gt; a -&gt; m a
</pre></div></div><div class="top"><p class="src"><a name="v:-60--60-.-124-.-61-" class="def">(&lt;&lt;.|.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a <span class="fixity">infix 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C%3C.%7C.%3D" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:-60--60-.-38-.-61-" class="def">(&lt;&lt;.&amp;.=)</a> :: (<a href="file:///usr/share/doc/libghc-mtl-doc/html/Control-Monad-State-Class.html#t:MonadState">MonadState</a> s m, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> a) =&gt; <a href="Control-Lens-Type.html#t:LensLike-39-">LensLike'</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/ghc-prim-0.4.0.0/GHC-Tuple.html#t:-40--44--41-">(,)</a> a) s a -&gt; a -&gt; m a <span class="fixity">infix 4</span><span class="rightedge"></span> <a href="src/Data-Bits-Lens.html#%3C%3C.%26.%3D" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:bitAt" class="def">bitAt</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Control-Lens-Type.html#t:IndexedLens-39-">IndexedLens'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> <a href="src/Data-Bits-Lens.html#bitAt" class="link">Source</a></p><div class="doc"><p>This <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> can be used to access the value of the nth bit in a number.</p><p><code><code><a href="Data-Bits-Lens.html#v:bitAt">bitAt</a></code> n</code> is only a legal <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> into <code>b</code> if <code>0 <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#v:-60--61-">&lt;=</a></code> n <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#v:-60-">&lt;</a></code> <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:bitSize">bitSize</a></code> (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#v:undefined">undefined</a></code> :: b)</code>.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>16^.bitAt 4
</code></strong>True
</pre><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>15^.bitAt 4
</code></strong>False
</pre><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>15 &amp; bitAt 4 .~ True
</code></strong>31
</pre><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>16 &amp; bitAt 4 .~ False
</code></strong>0
</pre></div></div><div class="top"><p class="src"><a name="v:bits" class="def">bits</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Num">Num</a> b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b) =&gt; <a href="Control-Lens-Type.html#t:IndexedTraversal-39-">IndexedTraversal'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> <a href="src/Data-Bits-Lens.html#bits" class="link">Source</a></p><div class="doc"><p>Traverse over all bits in a numeric type.</p><p>The bit position is available as the index.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>toListOf bits (5 :: Word8)
</code></strong>[True,False,True,False,False,False,False,False]
</pre><p>If you supply this an <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integer">Integer</a></code>, the result will be an infinite <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code>, which
 can be productively consumed, but not reassembled.</p></div></div><div class="top"><p class="src"><a name="v:byteAt" class="def">byteAt</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integral">Integral</a> b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b) =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> -&gt; <a href="Control-Lens-Type.html#t:IndexedLens-39-">IndexedLens'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Word.html#t:Word8">Word8</a> <a href="src/Data-Bits-Lens.html#byteAt" class="link">Source</a></p><div class="doc"><p>Get the nth byte, counting from the low end.</p><p><code><code><a href="Data-Bits-Lens.html#v:byteAt">byteAt</a></code> n</code> is a legal <code><a href="Control-Lens-Type.html#t:Lens">Lens</a></code> into <code>b</code> iff <code>0 <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#v:-60--61-">&lt;=</a></code> n <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#v:-60-">&lt;</a></code> <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#v:div">div</a></code> (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#v:bitSize">bitSize</a></code> (<code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#v:undefined">undefined</a></code> :: b)) 8</code></p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>(0xff00 :: Word16)^.byteAt 0
</code></strong>0
</pre><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>(0xff00 :: Word16)^.byteAt 1
</code></strong>255
</pre><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>byteAt 1 .~ 0 $ 0xff00 :: Word16
</code></strong>0
</pre><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>byteAt 0 .~ 0xff $ 0 :: Word16
</code></strong>255
</pre></div></div><div class="top"><p class="src"><a name="v:bytewise" class="def">bytewise</a> :: (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integral">Integral</a> b, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bits.html#t:Bits">Bits</a> b) =&gt; <a href="Control-Lens-Type.html#t:IndexedTraversal-39-">IndexedTraversal'</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a> b <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Word.html#t:Word8">Word8</a> <a href="src/Data-Bits-Lens.html#bytewise" class="link">Source</a></p><div class="doc"><p>Traverse over all the bytes in an integral type, from the low end.</p><p>The byte position is available as the index.</p><pre class="screen"><code class="prompt">&gt;&gt;&gt; </code><strong class="userinput"><code>toListOf bytewise (1312301580 :: Word32)
</code></strong>[12,34,56,78]
</pre><p>If you supply this an <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integer">Integer</a></code>, the result will be an infinite <code><a href="Control-Lens-Type.html#t:Traversal">Traversal</a></code>,
 which can be productively consumed, but not reassembled.</p><p>Why is'nt this function called <code>bytes</code> to match <code><a href="Data-Bits-Lens.html#v:bits">bits</a></code>? Alas, there
 is already a function by that name in <a href="Data-ByteString-Lens.html">Data.ByteString.Lens</a>.</p></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.16.1</p></div></body></html>