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<title>src/Data/Copointed.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-comment'>{-# LANGUAGE TypeFamilies #-}</span>
<a name="line-3"></a><span class='hs-cpp'>#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 702</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE Safe #-}</span>
<a name="line-5"></a><span class='hs-cpp'>#endif</span>
<a name="line-6"></a>
<a name="line-7"></a><span class='hs-cpp'>#ifndef MIN_VERSION_base</span>
<a name="line-8"></a><span class='hs-cpp'>#define MIN_VERSION_base(x,y,z) 0</span>
<a name="line-9"></a><span class='hs-cpp'>#endif</span>
<a name="line-10"></a>
<a name="line-11"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Copointed</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'>Applicative</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'>Default</span><span class='hs-varop'>.</span><span class='hs-conid'>Class</span>
<a name="line-15"></a>
<a name="line-16"></a><span class='hs-cpp'>#ifdef MIN_VERSION_comonad</span>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Env</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Store</span>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Comonad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Traced</span>
<a name="line-20"></a>
<a name="line-21"></a><span class='hs-cpp'>#if !(MIN_VERSION_comonad(4,3,0))</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'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Coproduct</span>
<a name="line-23"></a><span class='hs-cpp'>#endif</span>
<a name="line-24"></a><span class='hs-cpp'>#endif</span>
<a name="line-25"></a>
<a name="line-26"></a><span class='hs-cpp'>#ifdef MIN_VERSION_containers</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'>Tree</span>
<a name="line-28"></a><span class='hs-cpp'>#endif</span>
<a name="line-29"></a>
<a name="line-30"></a><span class='hs-cpp'>#ifdef MIN_VERSION_semigroupoids</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'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Bind</span>
<a name="line-32"></a><span class='hs-cpp'>#endif</span>
<a name="line-33"></a>
<a name="line-34"></a><span class='hs-cpp'>#if defined(MIN_VERSION_semigroups) || (MIN_VERSION_base(4,9,0))</span>
<a name="line-35"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Semigroup</span>
<a name="line-36"></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-layout'>(</span><span class='hs-conid'>NonEmpty</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-37"></a><span class='hs-cpp'>#else</span>
<a name="line-38"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span>
<a name="line-39"></a><span class='hs-cpp'>#endif</span>
<a name="line-40"></a>
<a name="line-41"></a><span class='hs-cpp'>#ifdef MIN_VERSION_tagged</span>
<a name="line-42"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Tagged</span>
<a name="line-43"></a><span class='hs-cpp'>#endif</span>
<a name="line-44"></a>
<a name="line-45"></a><span class='hs-cpp'>#if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,8,0))</span>
<a name="line-46"></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-47"></a><span class='hs-cpp'>#endif</span>
<a name="line-48"></a>
<a name="line-49"></a><span class='hs-cpp'>#if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,9,0))</span>
<a name="line-50"></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'>Sum</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>F</span>
<a name="line-51"></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-52"></a><span class='hs-cpp'>#endif</span>
<a name="line-53"></a>
<a name="line-54"></a><span class='hs-cpp'>#ifdef MIN_VERSION_transformers</span>
<a name="line-55"></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'>Reverse</span>
<a name="line-56"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-conid'>Backwards</span>
<a name="line-57"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-conid'>Lift</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Applicative</span>
<a name="line-58"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Identity</span>
<a name="line-59"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Writer</span><span class='hs-varop'>.</span><span class='hs-conid'>Lazy</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Lazy</span>
<a name="line-60"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Trans</span><span class='hs-varop'>.</span><span class='hs-conid'>Writer</span><span class='hs-varop'>.</span><span class='hs-conid'>Strict</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Strict</span>
<a name="line-61"></a><span class='hs-cpp'>#endif</span>
<a name="line-62"></a>
<a name="line-63"></a><span class='hs-comment'>-- | 'Copointed' does not require a 'Functor', as the only relationship</span>
<a name="line-64"></a><span class='hs-comment'>-- between 'copoint' and 'fmap' is given by a free theorem.</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="Copointed"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>where</span>
<a name="line-67"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-68"></a>
<a name="line-69"></a><a name="instance%20Copointed%20((,)%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-70"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span>
<a name="line-71"></a>
<a name="line-72"></a><a name="instance%20Copointed%20((,,)%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,)</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-73"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="instance%20Copointed%20((,,,)%20a%20b%20c)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,,)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-76"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-77"></a>
<a name="line-78"></a><a name="instance%20Copointed%20((-%3e)m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Default</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>-></span><span class='hs-layout'>)</span><span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-79"></a> <span class='hs-varid'>copoint</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>def</span>
<a name="line-80"></a>
<a name="line-81"></a><a name="instance%20Copointed%20(WrappedMonad%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedMonad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-82"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>unwrapMonad</span>
<a name="line-83"></a>
<a name="line-84"></a><span class='hs-cpp'>#ifdef MIN_VERSION_comonad</span>
<a name="line-85"></a><a name="instance%20Copointed%20(TracedT%20m%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Default</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>TracedT</span> <span class='hs-varid'>m</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-86"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>TracedT</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>w</span> <span class='hs-varid'>def</span>
<a name="line-87"></a>
<a name="line-88"></a><a name="instance%20Copointed%20(EnvT%20e%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>EnvT</span> <span class='hs-varid'>e</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-89"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>lowerEnvT</span>
<a name="line-90"></a>
<a name="line-91"></a><a name="instance%20Copointed%20(StoreT%20s%20w)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>StoreT</span> <span class='hs-varid'>s</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-92"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>StoreT</span> <span class='hs-varid'>wf</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>wf</span> <span class='hs-varid'>s</span>
<a name="line-93"></a><span class='hs-cpp'>#endif</span>
<a name="line-94"></a>
<a name="line-95"></a><span class='hs-cpp'>#if defined(MIN_VERSION_comonad) && !(MIN_VERSION_comonad(4,3,0))</span>
<a name="line-96"></a><a name="instance%20Copointed%20(Coproduct%20p%20q)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Copointed</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Coproduct</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-97"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coproduct</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>copoint</span>
<a name="line-98"></a><span class='hs-cpp'>#endif</span>
<a name="line-99"></a>
<a name="line-100"></a><span class='hs-cpp'>#ifdef MIN_VERSION_containers</span>
<a name="line-101"></a><a name="instance%20Copointed%20Tree"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Tree</span> <span class='hs-keyword'>where</span>
<a name="line-102"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rootLabel</span>
<a name="line-103"></a><span class='hs-cpp'>#endif</span>
<a name="line-104"></a>
<a name="line-105"></a><span class='hs-cpp'>#ifdef MIN_VERSION_tagged</span>
<a name="line-106"></a><a name="instance%20Copointed%20(Tagged%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tagged</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-107"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unTagged</span>
<a name="line-108"></a><span class='hs-cpp'>#endif</span>
<a name="line-109"></a>
<a name="line-110"></a><span class='hs-cpp'>#if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,8,0))</span>
<a name="line-111"></a><a name="instance%20Copointed%20Identity"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Identity</span> <span class='hs-keyword'>where</span>
<a name="line-112"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runIdentity</span>
<a name="line-113"></a><span class='hs-cpp'>#endif</span>
<a name="line-114"></a>
<a name="line-115"></a><span class='hs-cpp'>#if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,9,0))</span>
<a name="line-116"></a><a name="instance%20Copointed%20(Compose%20p%20q)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Copointed</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compose</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-117"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getCompose</span>
<a name="line-118"></a>
<a name="line-119"></a><a name="instance%20Copointed%20(F.Sum%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Copointed</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>F</span><span class='hs-varop'>.</span><span class='hs-conid'>Sum</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-120"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>F</span><span class='hs-varop'>.</span><span class='hs-conid'>InL</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>m</span>
<a name="line-121"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>F</span><span class='hs-varop'>.</span><span class='hs-conid'>InR</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>m</span>
<a name="line-122"></a><span class='hs-cpp'>#endif</span>
<a name="line-123"></a>
<a name="line-124"></a><span class='hs-cpp'>#ifdef MIN_VERSION_transformers</span>
<a name="line-125"></a><a name="instance%20Copointed%20(Backwards%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Backwards</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-126"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>forwards</span>
<a name="line-127"></a>
<a name="line-128"></a><a name="instance%20Copointed%20(Applicative.Lift%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Applicative</span><span class='hs-varop'>.</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-129"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pure</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-130"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>Other</span> <span class='hs-varid'>fa</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>fa</span>
<a name="line-131"></a>
<a name="line-132"></a><a name="instance%20Copointed%20(Reverse%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Reverse</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-133"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>getReverse</span>
<a name="line-134"></a>
<a name="line-135"></a><a name="instance%20Copointed%20(IdentityT%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>IdentityT</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-136"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runIdentityT</span>
<a name="line-137"></a>
<a name="line-138"></a><a name="instance%20Copointed%20(Lazy.WriterT%20w%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lazy</span><span class='hs-varop'>.</span><span class='hs-conid'>WriterT</span> <span class='hs-varid'>w</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-139"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>.</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Lazy</span><span class='hs-varop'>.</span><span class='hs-varid'>runWriterT</span>
<a name="line-140"></a>
<a name="line-141"></a><a name="instance%20Copointed%20(Strict.WriterT%20w%20m)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Strict</span><span class='hs-varop'>.</span><span class='hs-conid'>WriterT</span> <span class='hs-varid'>w</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-142"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>.</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Strict</span><span class='hs-varop'>.</span><span class='hs-varid'>runWriterT</span>
<a name="line-143"></a><span class='hs-cpp'>#endif</span>
<a name="line-144"></a>
<a name="line-145"></a><a name="instance%20Copointed%20Semigroup.Dual"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Dual</span> <span class='hs-keyword'>where</span>
<a name="line-146"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-varid'>getDual</span>
<a name="line-147"></a>
<a name="line-148"></a><a name="instance%20Copointed%20Semigroup.Sum"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Sum</span> <span class='hs-keyword'>where</span>
<a name="line-149"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-varid'>getSum</span>
<a name="line-150"></a>
<a name="line-151"></a><span class='hs-cpp'>#if defined(MIN_VERSION_semigroups) || (MIN_VERSION_base(4,9,0))</span>
<a name="line-152"></a><a name="instance%20Copointed%20NonEmpty"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>NonEmpty</span> <span class='hs-keyword'>where</span>
<a name="line-153"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>~</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-conop'>:|</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-154"></a>
<a name="line-155"></a><a name="instance%20Copointed%20Semigroup.First"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>First</span> <span class='hs-keyword'>where</span>
<a name="line-156"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-varid'>getFirst</span>
<a name="line-157"></a>
<a name="line-158"></a><a name="instance%20Copointed%20Semigroup.Last"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Last</span> <span class='hs-keyword'>where</span>
<a name="line-159"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-varid'>getLast</span>
<a name="line-160"></a>
<a name="line-161"></a><a name="instance%20Copointed%20Semigroup.Max"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Max</span> <span class='hs-keyword'>where</span>
<a name="line-162"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-varid'>getMax</span>
<a name="line-163"></a>
<a name="line-164"></a><a name="instance%20Copointed%20Semigroup.Min"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Min</span> <span class='hs-keyword'>where</span>
<a name="line-165"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-varid'>getMin</span>
<a name="line-166"></a>
<a name="line-167"></a><a name="instance%20Copointed%20WrappedMonoid"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-conid'>WrappedMonoid</span> <span class='hs-keyword'>where</span>
<a name="line-168"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonoid</span>
<a name="line-169"></a><span class='hs-cpp'>#endif</span>
<a name="line-170"></a>
<a name="line-171"></a><span class='hs-cpp'>#ifdef MIN_VERSION_semigroups</span>
<a name="line-172"></a><span class='hs-cpp'>#if MIN_VERSION_semigroups(0,16,2)</span>
<a name="line-173"></a><span class='hs-cpp'>#define HAVE_ARG 1</span>
<a name="line-174"></a><span class='hs-cpp'>#endif</span>
<a name="line-175"></a><span class='hs-cpp'>#elif MIN_VERSION_base(4,9,0)</span>
<a name="line-176"></a><span class='hs-cpp'>#define HAVE_ARG 1</span>
<a name="line-177"></a><span class='hs-cpp'>#endif</span>
<a name="line-178"></a>
<a name="line-179"></a><span class='hs-cpp'>#ifdef HAVE_ARG</span>
<a name="line-180"></a><a name="instance%20Copointed%20(Arg%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arg</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-181"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arg</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span>
<a name="line-182"></a><span class='hs-cpp'>#endif</span>
<a name="line-183"></a>
<a name="line-184"></a><span class='hs-cpp'>#ifdef MIN_VERSION_semigroupoids</span>
<a name="line-185"></a><a name="instance%20Copointed%20(WrappedApplicative%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrappedApplicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-186"></a> <span class='hs-varid'>copoint</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>unwrapApplicative</span>
<a name="line-187"></a>
<a name="line-188"></a><a name="instance%20Copointed%20(MaybeApply%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Copointed</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Copointed</span> <span class='hs-layout'>(</span><span class='hs-conid'>MaybeApply</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-189"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>MaybeApply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>fa</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copoint</span> <span class='hs-varid'>fa</span>
<a name="line-190"></a> <span class='hs-varid'>copoint</span> <span class='hs-layout'>(</span><span class='hs-conid'>MaybeApply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-191"></a><span class='hs-cpp'>#endif</span>
<a name="line-192"></a>
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