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<?xml version="1.0" encoding="UTF-8"?>
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<title>src/Control/Lens/Internal/Iso.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a><span class='hs-cpp'>#ifdef TRUSTWORTHY</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE Trustworthy #-}</span>
<a name="line-4"></a><span class='hs-cpp'>#endif</span>
<a name="line-5"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-6"></a><span class='hs-comment'>-- |</span>
<a name="line-7"></a><span class='hs-comment'>-- Module      :  Control.Lens.Internal.Iso</span>
<a name="line-8"></a><span class='hs-comment'>-- Copyright   :  (C) 2012-2016 Edward Kmett</span>
<a name="line-9"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-10"></a><span class='hs-comment'>-- Maintainer  :  Edward Kmett &lt;ekmett@gmail.com&gt;</span>
<a name="line-11"></a><span class='hs-comment'>-- Stability   :  experimental</span>
<a name="line-12"></a><span class='hs-comment'>-- Portability :  non-portable</span>
<a name="line-13"></a><span class='hs-comment'>--</span>
<a name="line-14"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-15"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>Iso</span>
<a name="line-16"></a>  <span class='hs-layout'>(</span> <span class='hs-conid'>Exchange</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-17"></a>  <span class='hs-layout'>,</span> <span class='hs-conid'>Reversing</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-18"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-19"></a>
<a name="line-20"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span>
<a name="line-21"></a><span class='hs-cpp'>#ifndef SAFE</span>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Unsafe</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Lens</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span><span class='hs-varop'>.</span><span class='hs-conid'>Coerce</span>
<a name="line-24"></a><span class='hs-cpp'>#endif</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>ByteString</span>       <span class='hs-keyword'>as</span> <span class='hs-conid'>StrictB</span>
<a name="line-26"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>ByteString</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span>  <span class='hs-keyword'>as</span> <span class='hs-conid'>LazyB</span>
<a name="line-27"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span><span class='hs-varop'>.</span><span class='hs-conid'>NonEmpty</span>    <span class='hs-keyword'>as</span> <span class='hs-conid'>NonEmpty</span>
<a name="line-28"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Text</span>             <span class='hs-keyword'>as</span> <span class='hs-conid'>StrictT</span>
<a name="line-29"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Text</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span>        <span class='hs-keyword'>as</span> <span class='hs-conid'>LazyT</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'>Vector</span>           <span class='hs-keyword'>as</span> <span class='hs-conid'>Vector</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'>Vector</span><span class='hs-varop'>.</span><span class='hs-conid'>Primitive</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Prim</span>
<a name="line-32"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span><span class='hs-varop'>.</span><span class='hs-conid'>Storable</span>  <span class='hs-keyword'>as</span> <span class='hs-conid'>Storable</span>
<a name="line-33"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span><span class='hs-varop'>.</span><span class='hs-conid'>Unboxed</span>   <span class='hs-keyword'>as</span> <span class='hs-conid'>Unbox</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'>Sequence</span>         <span class='hs-keyword'>as</span> <span class='hs-conid'>Seq</span>
<a name="line-35"></a>
<a name="line-36"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-37"></a><span class='hs-comment'>-- Isomorphism: Exchange</span>
<a name="line-38"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="Exchange"></a><span class='hs-comment'>-- | This is used internally by the 'Control.Lens.Iso.Iso' code to provide</span>
<a name="line-41"></a><a name="Exchange"></a><span class='hs-comment'>-- efficient access to the two functions that make up an isomorphism.</span>
<a name="line-42"></a><a name="Exchange"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Exchange</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Exchange</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-43"></a>
<a name="line-44"></a><a name="instance%20Functor%20(Exchange%20a%20b%20s)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Exchange</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-45"></a>  <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Exchange</span> <span class='hs-varid'>sa</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Exchange</span> <span class='hs-varid'>sa</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span>
<a name="line-46"></a>  <span class='hs-comment'>{-# INLINE fmap #-}</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="instance%20Profunctor%20(Exchange%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Exchange</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-49"></a>  <span class='hs-varid'>dimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Exchange</span> <span class='hs-varid'>sa</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Exchange</span> <span class='hs-layout'>(</span><span class='hs-varid'>sa</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span>
<a name="line-50"></a>  <span class='hs-comment'>{-# INLINE dimap #-}</span>
<a name="line-51"></a>  <span class='hs-varid'>lmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Exchange</span> <span class='hs-varid'>sa</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Exchange</span> <span class='hs-layout'>(</span><span class='hs-varid'>sa</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>bt</span>
<a name="line-52"></a>  <span class='hs-comment'>{-# INLINE lmap #-}</span>
<a name="line-53"></a>  <span class='hs-varid'>rmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Exchange</span> <span class='hs-varid'>sa</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Exchange</span> <span class='hs-varid'>sa</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bt</span><span class='hs-layout'>)</span>
<a name="line-54"></a>  <span class='hs-comment'>{-# INLINE rmap #-}</span>
<a name="line-55"></a><span class='hs-cpp'>#ifndef SAFE</span>
<a name="line-56"></a>  <span class='hs-layout'>(</span> <span class='hs-cpp'>#.</span> <span class='hs-layout'>)</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coerce'</span>
<a name="line-57"></a>  <span class='hs-comment'>{-# INLINE ( #. ) #-}</span>
<a name="line-58"></a>  <span class='hs-layout'>(</span> <span class='hs-varop'>.#</span> <span class='hs-layout'>)</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coerce</span> <span class='hs-varid'>p</span>
<a name="line-59"></a>  <span class='hs-comment'>{-# INLINE ( .# ) #-}</span>
<a name="line-60"></a><span class='hs-cpp'>#endif</span>
<a name="line-61"></a>
<a name="line-62"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-63"></a><span class='hs-comment'>-- Reversible</span>
<a name="line-64"></a><span class='hs-comment'>------------------------------------------------------------------------------</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="Reversing"></a><span class='hs-comment'>-- | This class provides a generalized notion of list reversal extended to other containers.</span>
<a name="line-67"></a><a name="Reversing"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Reversing</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-68"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span>
<a name="line-69"></a>
<a name="line-70"></a><a name="instance%20Reversing%20%5ba%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-71"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-72"></a>
<a name="line-73"></a><a name="instance%20Reversing%20(NonEmpty.NonEmpty%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>NonEmpty</span><span class='hs-varop'>.</span><span class='hs-conid'>NonEmpty</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-74"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NonEmpty</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-75"></a>
<a name="line-76"></a><a name="instance%20Reversing%20StrictB.ByteString"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-conid'>StrictB</span><span class='hs-varop'>.</span><span class='hs-conid'>ByteString</span> <span class='hs-keyword'>where</span>
<a name="line-77"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StrictB</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-78"></a>
<a name="line-79"></a><a name="instance%20Reversing%20LazyB.ByteString"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-conid'>LazyB</span><span class='hs-varop'>.</span><span class='hs-conid'>ByteString</span> <span class='hs-keyword'>where</span>
<a name="line-80"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LazyB</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-81"></a>
<a name="line-82"></a><a name="instance%20Reversing%20StrictT.Text"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-conid'>StrictT</span><span class='hs-varop'>.</span><span class='hs-conid'>Text</span> <span class='hs-keyword'>where</span>
<a name="line-83"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StrictT</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-84"></a>
<a name="line-85"></a><a name="instance%20Reversing%20LazyT.Text"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-conid'>LazyT</span><span class='hs-varop'>.</span><span class='hs-conid'>Text</span> <span class='hs-keyword'>where</span>
<a name="line-86"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LazyT</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-87"></a>
<a name="line-88"></a><a name="instance%20Reversing%20(Vector.Vector%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-89"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Vector</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-90"></a>
<a name="line-91"></a><a name="instance%20Reversing%20(Seq%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Reversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Seq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-92"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-93"></a>
<a name="line-94"></a><a name="instance%20Reversing%20(Prim.Vector%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Prim</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Reversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Prim</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-95"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prim</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-96"></a>
<a name="line-97"></a><a name="instance%20Reversing%20(Unbox.Vector%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Unbox</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Reversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Unbox</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-98"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Unbox</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
<a name="line-99"></a>
<a name="line-100"></a><a name="instance%20Reversing%20(Storable.Vector%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Storable</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Reversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>Storable</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-101"></a>  <span class='hs-varid'>reversing</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Storable</span><span class='hs-varop'>.</span><span class='hs-varid'>reverse</span>
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