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<title>src/Data/Biapplicative.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.Apply</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright   :  (C) 2011-2013 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 &lt;ekmett@gmail.com&gt;</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'>----------------------------------------------------------------------------</span>
<a name="line-12"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Biapplicative</span> <span class='hs-layout'>(</span>
<a name="line-13"></a>  <span class='hs-comment'>-- * Biapplicative bifunctors</span>
<a name="line-14"></a>    <span class='hs-conid'>Biapplicative</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-15"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;$&gt;&gt;</span><span class='hs-layout'>)</span>
<a name="line-16"></a>  <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;**&gt;&gt;</span><span class='hs-layout'>)</span>
<a name="line-17"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>biliftA2</span>
<a name="line-18"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>biliftA3</span>
<a name="line-19"></a>  <span class='hs-layout'>,</span> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span>
<a name="line-20"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-21"></a>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span>
<a name="line-24"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;$&gt;&gt;</span><span class='hs-layout'>)</span><span class='hs-layout'>)</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'>Tagged</span>
<a name="line-27"></a>
<a name="line-28"></a><span class='hs-keyword'>infixl</span> <span class='hs-num'>4</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&lt;*</span><span class='hs-layout'>,</span> <span class='hs-varop'>*&gt;&gt;</span><span class='hs-layout'>,</span> <span class='hs-varop'>&lt;&lt;**&gt;&gt;</span>
<a name="line-29"></a>
<a name="line-30"></a><a name="Biapplicative"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Bifunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>where</span>
<a name="line-31"></a>  <span class='hs-varid'>bipure</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-32"></a>
<a name="line-33"></a>  <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;*&gt;&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span>
<a name="line-34"></a>
<a name="line-35"></a>  <span class='hs-comment'>-- |</span>
<a name="line-36"></a>  <span class='hs-comment'>-- @</span>
<a name="line-37"></a>  <span class='hs-comment'>-- a '*&gt;' b ≡ 'const' 'id' '&lt;$&gt;' a '&lt;*&gt;' b</span>
<a name="line-38"></a>  <span class='hs-comment'>-- @</span>
<a name="line-39"></a>  <span class='hs-layout'>(</span><span class='hs-varop'>*&gt;&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span>
<a name="line-40"></a>  <span class='hs-varid'>a</span> <span class='hs-varop'>*&gt;&gt;</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimap</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&lt;$&gt;&gt;</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-varid'>b</span>
<a name="line-41"></a>  <span class='hs-comment'>{-# INLINE (*&gt;&gt;) #-}</span>
<a name="line-42"></a>
<a name="line-43"></a>  <span class='hs-comment'>-- |</span>
<a name="line-44"></a>  <span class='hs-comment'>-- @</span>
<a name="line-45"></a>  <span class='hs-comment'>-- a '&lt;*' b ≡ 'const' '&lt;$&gt;' a '&lt;.&gt;' b</span>
<a name="line-46"></a>  <span class='hs-comment'>-- @</span>
<a name="line-47"></a>  <span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;*</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-48"></a>  <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&lt;*</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimap</span> <span class='hs-varid'>const</span> <span class='hs-varid'>const</span> <span class='hs-varop'>&lt;&lt;$&gt;&gt;</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-varid'>b</span>
<a name="line-49"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*) #-}</span>
<a name="line-50"></a>
<a name="line-51"></a><a name="%3c%3c**%3e%3e"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;**&gt;&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>p</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span>
<a name="line-52"></a><span class='hs-layout'>(</span><span class='hs-varop'>&lt;&lt;**&gt;&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>biliftA2</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span>
<a name="line-53"></a><span class='hs-comment'>{-# INLINE (&lt;&lt;**&gt;&gt;) #-}</span>
<a name="line-54"></a>
<a name="line-55"></a><a name="biliftA2"></a><span class='hs-comment'>-- | Lift binary functions</span>
<a name="line-56"></a><span class='hs-definition'>biliftA2</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>b</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span>
<a name="line-57"></a><span class='hs-definition'>biliftA2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varop'>&lt;&lt;$&gt;&gt;</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-varid'>b</span>
<a name="line-58"></a><span class='hs-comment'>{-# INLINE biliftA2 #-}</span>
<a name="line-59"></a>
<a name="line-60"></a><a name="biliftA3"></a><span class='hs-comment'>-- | Lift ternary functions</span>
<a name="line-61"></a><span class='hs-definition'>biliftA3</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>h</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>b</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>c</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>w</span> <span class='hs-varid'>d</span> <span class='hs-varid'>h</span>
<a name="line-62"></a><span class='hs-definition'>biliftA3</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varop'>&lt;&lt;$&gt;&gt;</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-varid'>b</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-varid'>c</span>
<a name="line-63"></a><span class='hs-comment'>{-# INLINE biliftA3 #-}</span>
<a name="line-64"></a>
<a name="line-65"></a><a name="instance%20Biapplicative%20(,)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-conid'>(,)</span> <span class='hs-keyword'>where</span>
<a name="line-66"></a>  <span class='hs-varid'>bipure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,)</span>
<a name="line-67"></a>  <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-68"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</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-varid'>g</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-69"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*&gt;&gt;) #-}</span>
<a name="line-70"></a>
<a name="line-71"></a><a name="instance%20Biapplicative%20((,,)%20x)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-72"></a>  <span class='hs-varid'>bipure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,,)</span> <span class='hs-varid'>mempty</span>
<a name="line-73"></a>  <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-74"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>mappend</span> <span class='hs-varid'>x</span> <span class='hs-varid'>x'</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-varid'>g</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-75"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*&gt;&gt;) #-}</span>
<a name="line-76"></a>
<a name="line-77"></a><a name="instance%20Biapplicative%20((,,,)%20x%20y)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Monoid</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,,)</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-78"></a>  <span class='hs-varid'>bipure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,,,)</span> <span class='hs-varid'>mempty</span> <span class='hs-varid'>mempty</span>
<a name="line-79"></a>  <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-80"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>y'</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>mappend</span> <span class='hs-varid'>x</span> <span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>mappend</span> <span class='hs-varid'>y</span> <span class='hs-varid'>y'</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-varid'>g</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-81"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*&gt;&gt;) #-}</span>
<a name="line-82"></a>
<a name="line-83"></a><a name="instance%20Biapplicative%20((,,,,)%20x%20y%20z)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Monoid</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,,,)</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-84"></a>  <span class='hs-varid'>bipure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,,,,)</span> <span class='hs-varid'>mempty</span> <span class='hs-varid'>mempty</span> <span class='hs-varid'>mempty</span>
<a name="line-85"></a>  <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-86"></a>  <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>z</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>y'</span><span class='hs-layout'>,</span> <span class='hs-varid'>z'</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>mappend</span> <span class='hs-varid'>x</span> <span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>mappend</span> <span class='hs-varid'>y</span> <span class='hs-varid'>y'</span><span class='hs-layout'>,</span> <span class='hs-varid'>mappend</span> <span class='hs-varid'>z</span> <span class='hs-varid'>z'</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-varid'>g</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-87"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*&gt;&gt;) #-}</span>
<a name="line-88"></a>
<a name="line-89"></a><a name="instance%20Biapplicative%20Tagged"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-conid'>Tagged</span> <span class='hs-keyword'>where</span>
<a name="line-90"></a>  <span class='hs-varid'>bipure</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Tagged</span> <span class='hs-varid'>b</span>
<a name="line-91"></a>  <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-92"></a>
<a name="line-93"></a>  <span class='hs-conid'>Tagged</span> <span class='hs-varid'>f</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-conid'>Tagged</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Tagged</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-94"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*&gt;&gt;) #-}</span>
<a name="line-95"></a>
<a name="line-96"></a><a name="instance%20Biapplicative%20Const"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-conid'>Const</span> <span class='hs-keyword'>where</span>
<a name="line-97"></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'>Const</span> <span class='hs-varid'>a</span>
<a name="line-98"></a>  <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-99"></a>  <span class='hs-conid'>Const</span> <span class='hs-varid'>f</span> <span class='hs-varop'>&lt;&lt;*&gt;&gt;</span> <span class='hs-conid'>Const</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Const</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-100"></a>  <span class='hs-comment'>{-# INLINE (&lt;&lt;*&gt;&gt;) #-}</span>
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