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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-comment'>{-# LANGUAGE GADTs #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE RankNTypes #-}</span>
<a name="line-4"></a><span class='hs-keyword'>module</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'>Mapping</span>
<a name="line-5"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Mapping</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-6"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>CofreeMapping</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-7"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>FreeMapping</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-8"></a> <span class='hs-comment'>-- * Closed in terms of Mapping</span>
<a name="line-9"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>traverseMapping</span>
<a name="line-10"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>closedMapping</span>
<a name="line-11"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-12"></a>
<a name="line-13"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span> <span class='hs-layout'>(</span><span class='hs-conid'>Kleisli</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-14"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Distributive</span>
<a name="line-15"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Compose</span>
<a name="line-16"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Identity</span>
<a name="line-17"></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'>Choice</span>
<a name="line-18"></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'>Closed</span>
<a name="line-19"></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'>Monad</span>
<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><span class='hs-varop'>.</span><span class='hs-conid'>Strong</span>
<a name="line-21"></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'>Traversing</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'>Types</span>
<a name="line-23"></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-24"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ < 710</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-26"></a><span class='hs-cpp'>#endif</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="Mapping"></a><span class='hs-keyword'>class</span> <span class='hs-layout'>(</span><span class='hs-conid'>Traversing</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Closed</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Mapping</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>where</span>
<a name="line-29"></a> <span class='hs-comment'>-- | Laws:</span>
<a name="line-30"></a> <span class='hs-comment'>--</span>
<a name="line-31"></a> <span class='hs-comment'>-- @</span>
<a name="line-32"></a> <span class='hs-comment'>-- 'map'' '.' 'rmap' f ≡ 'rmap' ('fmap' f) '.' 'map''</span>
<a name="line-33"></a> <span class='hs-comment'>-- 'map'' '.' 'map'' ≡ 'dimap' 'Data.Functor.Compose.Compose' 'Data.Functor.Compose.getCompose' '.' 'map''</span>
<a name="line-34"></a> <span class='hs-comment'>-- 'dimap' 'Data.Functor.Identity.Identity' 'Data.Functor.Identity.runIdentity' '.' 'map'' ≡ 'id'</span>
<a name="line-35"></a> <span class='hs-comment'>-- @</span>
<a name="line-36"></a> <span class='hs-varid'>map'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-37"></a>
<a name="line-38"></a><a name="instance%20Mapping%20(-%3e)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Mapping</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-></span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-39"></a> <span class='hs-varid'>map'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span>
<a name="line-40"></a>
<a name="line-41"></a><a name="instance%20Mapping%20(Kleisli%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Distributive</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Mapping</span> <span class='hs-layout'>(</span><span class='hs-conid'>Kleisli</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-42"></a> <span class='hs-varid'>map'</span> <span class='hs-layout'>(</span><span class='hs-conid'>Kleisli</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Kleisli</span> <span class='hs-layout'>(</span><span class='hs-varid'>collect</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-43"></a>
<a name="line-44"></a><a name="instance%20Mapping%20(Star%20m)"></a><span class='hs-comment'>-- see <https://github.com/ekmett/distributive/issues/12></span>
<a name="line-45"></a><a name="instance%20Mapping%20(Star%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Applicative</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Distributive</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Mapping</span> <span class='hs-layout'>(</span><span class='hs-conid'>Star</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-46"></a> <span class='hs-varid'>map'</span> <span class='hs-layout'>(</span><span class='hs-conid'>Star</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Star</span> <span class='hs-layout'>(</span><span class='hs-varid'>collect</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="traverseMapping"></a><span class='hs-definition'>traverseMapping</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Mapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-49"></a><span class='hs-definition'>traverseMapping</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-50"></a>
<a name="line-51"></a><a name="closedMapping"></a><span class='hs-definition'>closedMapping</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Mapping</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-52"></a><span class='hs-definition'>closedMapping</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-53"></a>
<a name="line-54"></a><a name="CofreeMapping"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>{</span> <span class='hs-varid'>runCofreeMapping</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>f</span><span class='hs-varop'>.</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-55"></a>
<a name="line-56"></a><a name="instance%20Profunctor%20(CofreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Profunctor</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-57"></a> <span class='hs-varid'>lmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>lmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-58"></a> <span class='hs-varid'>rmap</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>rmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-59"></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'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>dimap</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-60"></a>
<a name="line-61"></a><a name="instance%20Strong%20(CofreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Strong</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-62"></a> <span class='hs-varid'>second'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-63"></a>
<a name="line-64"></a><a name="instance%20Choice%20(CofreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Choice</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-65"></a> <span class='hs-varid'>right'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-66"></a>
<a name="line-67"></a><a name="instance%20Closed%20(CofreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Closed</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-68"></a> <span class='hs-varid'>closed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-69"></a>
<a name="line-70"></a><a name="instance%20Traversing%20(CofreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Traversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-71"></a> <span class='hs-varid'>traverse'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-72"></a>
<a name="line-73"></a><a name="instance%20Mapping%20(CofreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Mapping</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-74"></a> <span class='hs-comment'>-- !@(#*&() Compose isn't representational in its second arg or we could use #. and .#</span>
<a name="line-75"></a> <span class='hs-varid'>map'</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>dimap</span> <span class='hs-conid'>Compose</span> <span class='hs-varid'>getCompose</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-76"></a>
<a name="line-77"></a><a name="instance%20ProfunctorFunctor%20CofreeMapping"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ProfunctorFunctor</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-keyword'>where</span>
<a name="line-78"></a> <span class='hs-varid'>promap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-79"></a>
<a name="line-80"></a><a name="instance%20ProfunctorComonad%20CofreeMapping"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ProfunctorComonad</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-keyword'>where</span>
<a name="line-81"></a> <span class='hs-varid'>proextract</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>p</span> <span class='hs-varop'>.#</span> <span class='hs-conid'>Identity</span>
<a name="line-82"></a> <span class='hs-varid'>produplicate</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-conid'>CofreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>dimap</span> <span class='hs-conid'>Compose</span> <span class='hs-varid'>getCompose</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-83"></a>
<a name="line-84"></a><span class='hs-comment'>-- | @FreeMapping -| CofreeMapping@</span>
<a name="line-85"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>where</span>
<a name="line-86"></a> <span class='hs-conid'>FreeMapping</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-87"></a>
<a name="line-88"></a><a name="instance%20Profunctor%20(FreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Profunctor</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-89"></a> <span class='hs-varid'>lmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-90"></a> <span class='hs-varid'>rmap</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span>
<a name="line-91"></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'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-92"></a> <span class='hs-varid'>g</span> <span class='hs-cpp'>#.</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span>
<a name="line-93"></a> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span> <span class='hs-varop'>.#</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varop'>.#</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-94"></a>
<a name="line-95"></a><a name="instance%20Strong%20(FreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Strong</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-96"></a> <span class='hs-varid'>second'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-97"></a>
<a name="line-98"></a><a name="instance%20Choice%20(FreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Choice</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-99"></a> <span class='hs-varid'>right'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-100"></a>
<a name="line-101"></a><a name="instance%20Closed%20(FreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Closed</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-102"></a> <span class='hs-varid'>closed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-103"></a>
<a name="line-104"></a><a name="instance%20Traversing%20(FreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Traversing</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-105"></a> <span class='hs-varid'>traverse'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map'</span>
<a name="line-106"></a>
<a name="line-107"></a><a name="instance%20Mapping%20(FreeMapping%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Mapping</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-108"></a> <span class='hs-varid'>map'</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>l</span> <span class='hs-varop'>.#</span> <span class='hs-varid'>getCompose</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-cpp'>#.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-109"></a>
<a name="line-110"></a><a name="instance%20ProfunctorFunctor%20FreeMapping"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ProfunctorFunctor</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-keyword'>where</span>
<a name="line-111"></a> <span class='hs-varid'>promap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span>
<a name="line-112"></a>
<a name="line-113"></a><a name="instance%20ProfunctorMonad%20FreeMapping"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ProfunctorMonad</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-keyword'>where</span>
<a name="line-114"></a> <span class='hs-varid'>proreturn</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>runIdentity</span> <span class='hs-varid'>p</span> <span class='hs-conid'>Identity</span>
<a name="line-115"></a> <span class='hs-varid'>projoin</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l</span> <span class='hs-layout'>(</span><span class='hs-conid'>FreeMapping</span> <span class='hs-varid'>l'</span> <span class='hs-varid'>m</span> <span class='hs-varid'>r'</span><span class='hs-layout'>)</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>FreeMapping</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>l</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>l'</span><span class='hs-layout'>)</span> <span class='hs-varop'>.#</span> <span class='hs-varid'>getCompose</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-cpp'>#.</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varid'>r'</span> <span class='hs-varop'>.</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
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