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<title>src/Data/Bifunctor/Clown.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module : Data.Bifunctor.Clown</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright : (C) 2008-2013 Edward Kmett,</span>
<a name="line-5"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-6"></a><span class='hs-comment'>--</span>
<a name="line-7"></a><span class='hs-comment'>-- Maintainer : Edward Kmett <ekmett@gmail.com></span>
<a name="line-8"></a><span class='hs-comment'>-- Stability : provisional</span>
<a name="line-9"></a><span class='hs-comment'>-- Portability : portable</span>
<a name="line-10"></a><span class='hs-comment'>--</span>
<a name="line-11"></a><span class='hs-comment'>-- From the Functional Pearl \"Clowns to the Left of me, Jokers to the Right: Dissecting Data Structures\"</span>
<a name="line-12"></a><span class='hs-comment'>-- by Conor McBride.</span>
<a name="line-13"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-14"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Clown</span>
<a name="line-15"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Clown</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-16"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-17"></a>
<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'>Applicative</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'>Biapplicative</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'>Bifunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Apply</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'>Bifoldable</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'>Bitraversable</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'>Foldable</span>
<a name="line-24"></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'>Apply</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'>Monoid</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'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifoldable</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'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Bitraversable</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'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Foldable</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'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</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'>Traversable</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="Clown"></a><span class='hs-comment'>-- | Make a 'Functor' over the first argument of a 'Bifunctor'.</span>
<a name="line-33"></a><a name="Clown"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-layout'>{</span> <span class='hs-varid'>runClown</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-layout'>}</span>
<a name="line-34"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Ord</span><span class='hs-layout'>,</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>)</span>
<a name="line-35"></a>
<a name="line-36"></a><a name="instance%20Bifunctor%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifunctor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-37"></a> <span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-38"></a> <span class='hs-comment'>{-# INLINE first #-}</span>
<a name="line-39"></a> <span class='hs-varid'>second</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-40"></a> <span class='hs-comment'>{-# INLINE second #-}</span>
<a name="line-41"></a> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-42"></a> <span class='hs-comment'>{-# INLINE bimap #-}</span>
<a name="line-43"></a>
<a name="line-44"></a><a name="instance%20Functor%20(Clown%20f%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</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-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</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%20Biapplicative%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapplicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-49"></a> <span class='hs-varid'>bipure</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-layout'>(</span><span class='hs-varid'>pure</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-50"></a> <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-51"></a>
<a name="line-52"></a> <span class='hs-conid'>Clown</span> <span class='hs-varid'>mf</span> <span class='hs-varop'><<*>></span> <span class='hs-conid'>Clown</span> <span class='hs-varid'>mx</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-layout'>(</span><span class='hs-varid'>mf</span> <span class='hs-varop'><*></span> <span class='hs-varid'>mx</span><span class='hs-layout'>)</span>
<a name="line-53"></a> <span class='hs-comment'>{-# INLINE (<<*>>) #-}</span>
<a name="line-54"></a>
<a name="line-55"></a><a name="instance%20Biapply%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-56"></a> <span class='hs-conid'>Clown</span> <span class='hs-varid'>fg</span> <span class='hs-varop'><<.>></span> <span class='hs-conid'>Clown</span> <span class='hs-varid'>xy</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Clown</span> <span class='hs-layout'>(</span><span class='hs-varid'>fg</span> <span class='hs-varop'><.></span> <span class='hs-varid'>xy</span><span class='hs-layout'>)</span>
<a name="line-57"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
<a name="line-58"></a>
<a name="line-59"></a><a name="instance%20Bifoldable%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Foldable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifoldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-60"></a> <span class='hs-varid'>bifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-61"></a> <span class='hs-comment'>{-# INLINE bifoldMap #-}</span>
<a name="line-62"></a>
<a name="line-63"></a><a name="instance%20Foldable%20(Clown%20f%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Foldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-64"></a> <span class='hs-varid'>foldMap</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mempty</span>
<a name="line-65"></a> <span class='hs-comment'>{-# INLINE foldMap #-}</span>
<a name="line-66"></a>
<a name="line-67"></a><a name="instance%20Bitraversable%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bitraversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-68"></a> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>traverse</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-69"></a> <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-70"></a>
<a name="line-71"></a><a name="instance%20Traversable%20(Clown%20f%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Traversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-72"></a> <span class='hs-varid'>traverse</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-73"></a> <span class='hs-comment'>{-# INLINE traverse #-}</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="instance%20Bifoldable1%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Foldable1</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifoldable1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-76"></a> <span class='hs-varid'>bifoldMap1</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldMap1</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-77"></a> <span class='hs-comment'>{-# INLINE bifoldMap1 #-}</span>
<a name="line-78"></a>
<a name="line-79"></a><a name="instance%20Bitraversable1%20(Clown%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Traversable1</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bitraversable1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clown</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-80"></a> <span class='hs-varid'>bitraverse1</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-conid'>Clown</span> <span class='hs-varop'>.</span> <span class='hs-varid'>traverse1</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runClown</span>
<a name="line-81"></a> <span class='hs-comment'>{-# INLINE bitraverse1 #-}</span>
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