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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>Control.Lens.Internal.Iso</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script src="file:///usr/share/javascript/mathjax/MathJax.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/Control-Lens-Internal-Iso.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-4.15.4: Lenses, Folds and Traversals</p></div><div id="content"><div id="module-header"><table class="info"><tr><th valign="top">Copyright</th><td>(C) 2012-2016 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>non-portable</td></tr><tr><th>Safe Haskell</th><td>Trustworthy</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Control.Lens.Internal.Iso</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"><span class="keyword">data</span> <a href="#t:Exchange">Exchange</a> a b s t = <a href="#v:Exchange">Exchange</a> (s -&gt; a) (b -&gt; t)</li><li class="src short"><span class="keyword">class</span> <a href="#t:Reversing">Reversing</a> t <span class="keyword">where</span><ul class="subs"></ul></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span> <a id="t:Exchange" class="def">Exchange</a> a b s t <a href="src/Control-Lens-Internal-Iso.html#Exchange" class="link">Source</a> <a href="#t:Exchange" class="selflink">#</a></p><div class="doc"><p>This is used internally by the <code><a href="Control-Lens-Iso.html#v:Iso">Iso</a></code> code to provide
 efficient access to the two functions that make up an isomorphism.</p></div><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a id="v:Exchange" class="def">Exchange</a> (s -&gt; a) (b -&gt; t)</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="subs instances"><p id="control.i:Exchange" class="caption collapser" onclick="toggleSection('i:Exchange')">Instances</p><div id="section.i:Exchange" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:Exchange:Profunctor:1" class="instance expander" onclick="toggleSection('i:id:Exchange:Profunctor:1')"></span> <a href="Control-Lens-Iso.html#t:Profunctor">Profunctor</a> (<a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b)</span> <a href="src/Control-Lens-Internal-Iso.html#line-48" class="link">Source</a> <a href="#t:Exchange" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:Exchange:Profunctor:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:dimap">dimap</a> :: (a -&gt; b) -&gt; (c -&gt; d) -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b b c -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a d <a href="#v:dimap" class="selflink">#</a></p><p class="src"><a href="#v:lmap">lmap</a> :: (a -&gt; b) -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b b c -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a c <a href="#v:lmap" class="selflink">#</a></p><p class="src"><a href="#v:rmap">rmap</a> :: (b -&gt; c) -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a b -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a c <a href="#v:rmap" class="selflink">#</a></p><p class="src"><a href="#v:-35-.">(#.)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Coerce.html#t:Coercible">Coercible</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Kind.html#t:-42-">*</a> c b =&gt; (b -&gt; c) -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a b -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a c <a href="#v:-35-." class="selflink">#</a></p><p class="src"><a href="#v:.-35-">(.#)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Coerce.html#t:Coercible">Coercible</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Kind.html#t:-42-">*</a> b a =&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b b c -&gt; (a -&gt; b) -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b a c <a href="#v:.-35-" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:Exchange:Functor:2" class="instance expander" onclick="toggleSection('i:id:Exchange:Functor:2')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-Functor.html#t:Functor">Functor</a> (<a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b s)</span> <a href="src/Control-Lens-Internal-Iso.html#line-44" class="link">Source</a> <a href="#t:Exchange" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:Exchange:Functor:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:fmap">fmap</a> :: (a -&gt; b) -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b s a -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b s b <a href="#v:fmap" class="selflink">#</a></p><p class="src"><a href="#v:-60--36-">(&lt;$)</a> :: a -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b s b -&gt; <a href="Control-Lens-Internal-Iso.html#t:Exchange">Exchange</a> a b s a <a href="#v:-60--36-" class="selflink">#</a></p></div></div></td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">class</span> <a id="t:Reversing" class="def">Reversing</a> t <span class="keyword">where</span> <a href="src/Control-Lens-Internal-Iso.html#Reversing" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></p><div class="doc"><p>This class provides a generalized notion of list reversal extended to other containers.</p></div><div class="subs minimal"><p class="caption">Minimal complete definition</p><p class="src"><a href="Control-Lens-Internal-Iso.html#v:reversing">reversing</a></p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a id="v:reversing" class="def">reversing</a> :: t -&gt; t <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div><div class="subs instances"><p id="control.i:Reversing" class="caption collapser" onclick="toggleSection('i:Reversing')">Instances</p><div id="section.i:Reversing" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:1" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:1')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.8.1/Data-ByteString-Lazy.html#t:ByteString">ByteString</a></span> <a href="src/Control-Lens-Internal-Iso.html#line-79" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.8.1/Data-ByteString-Lazy.html#t:ByteString">ByteString</a> -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.8.1/Data-ByteString-Lazy.html#t:ByteString">ByteString</a> <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:2" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:2')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.8.1/Data-ByteString.html#t:ByteString">ByteString</a></span> <a href="src/Control-Lens-Internal-Iso.html#line-76" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.8.1/Data-ByteString.html#t:ByteString">ByteString</a> -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.8.1/Data-ByteString.html#t:ByteString">ByteString</a> <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:3" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:3')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text-Lazy.html#t:Text">Text</a></span> <a href="src/Control-Lens-Internal-Iso.html#line-85" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text-Lazy.html#t:Text">Text</a> -&gt; <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text-Lazy.html#t:Text">Text</a> <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:4" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:4')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text.html#t:Text">Text</a></span> <a href="src/Control-Lens-Internal-Iso.html#line-82" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:4" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text.html#t:Text">Text</a> -&gt; <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text.html#t:Text">Text</a> <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:5" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:5')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> [a]</span> <a href="src/Control-Lens-Internal-Iso.html#line-70" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:5" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: [a] -&gt; [a] <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:6" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:6')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-73" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:6" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Data-List-NonEmpty.html#t:NonEmpty">NonEmpty</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:7" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:7')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.7.1/Data-Sequence.html#t:Seq">Seq</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-91" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:7" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.7.1/Data-Sequence.html#t:Seq">Seq</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.7.1/Data-Sequence.html#t:Seq">Seq</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:8" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:8')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector.html#t:Vector">Vector</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-88" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:8" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector.html#t:Vector">Vector</a> a -&gt; <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector.html#t:Vector">Vector</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:9" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:9')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Foreign-Storable.html#t:Storable">Storable</a> a =&gt; <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Storable.html#t:Vector">Vector</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-100" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:9" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Storable.html#t:Vector">Vector</a> a -&gt; <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Storable.html#t:Vector">Vector</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:10" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:10')"></span> <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Unboxed-Mutable.html#t:Unbox">Unbox</a> a =&gt; <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Unboxed.html#t:Vector">Vector</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-97" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:10" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Unboxed.html#t:Vector">Vector</a> a -&gt; <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Unboxed.html#t:Vector">Vector</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:11" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:11')"></span> <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Primitive-Mutable.html#t:Prim">Prim</a> a =&gt; <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Primitive.html#t:Vector">Vector</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-94" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:11" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Primitive.html#t:Vector">Vector</a> a -&gt; <a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector-Primitive.html#t:Vector">Vector</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Reversing:Reversing:12" class="instance expander" onclick="toggleSection('i:ic:Reversing:Reversing:12')"></span> <a href="Control-Lens-Internal-Iso.html#t:Reversing">Reversing</a> (<a href="Control-Lens-Internal-Deque.html#t:Deque">Deque</a> a)</span> <a href="src/Control-Lens-Internal-Iso.html#line-135" class="link">Source</a> <a href="#t:Reversing" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:ic:Reversing:Reversing:12" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:reversing">reversing</a> :: <a href="Control-Lens-Internal-Deque.html#t:Deque">Deque</a> a -&gt; <a href="Control-Lens-Internal-Deque.html#t:Deque">Deque</a> a <a href="src/Control-Lens-Internal-Iso.html#reversing" class="link">Source</a> <a href="#v:reversing" class="selflink">#</a></p></div></div></td></tr></table></div></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.17.3</p></div></body></html>