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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 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'>----------------------------------------------------------------------------</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'>Bifunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span>
<a name="line-13"></a> <span class='hs-comment'>-- * Biappliable bifunctors</span>
<a name="line-14"></a> <span class='hs-conid'>Biapply</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'><<$>></span><span class='hs-layout'>)</span>
<a name="line-16"></a> <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'><<..>></span><span class='hs-layout'>)</span>
<a name="line-17"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>bilift2</span>
<a name="line-18"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>bilift3</span>
<a name="line-19"></a> <span class='hs-layout'>,</span> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span>
<a name="line-20"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-21"></a>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span>
<a name="line-24"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Tagged</span>
<a name="line-26"></a>
<a name="line-27"></a><span class='hs-keyword'>infixl</span> <span class='hs-num'>4</span> <span class='hs-varop'><<$>></span><span class='hs-layout'>,</span> <span class='hs-varop'><<.>></span><span class='hs-layout'>,</span> <span class='hs-varop'><<.</span><span class='hs-layout'>,</span> <span class='hs-varop'>.>></span><span class='hs-layout'>,</span> <span class='hs-varop'><<..>></span>
<a name="line-28"></a>
<a name="line-29"></a><a name="%3c%3c$%3e%3e"></a><span class='hs-layout'>(</span><span class='hs-varop'><<$>></span><span class='hs-layout'>)</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'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span>
<a name="line-30"></a><span class='hs-layout'>(</span><span class='hs-varop'><<$>></span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-31"></a><span class='hs-comment'>{-# INLINE (<<$>>) #-}</span>
<a name="line-32"></a>
<a name="line-33"></a><a name="Biapply"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Bifunctor</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapply</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>where</span>
<a name="line-34"></a> <span class='hs-layout'>(</span><span class='hs-varop'><<.>></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'>-></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'>-></span> <span class='hs-varid'>d</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'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span>
<a name="line-35"></a>
<a name="line-36"></a> <span class='hs-comment'>-- |</span>
<a name="line-37"></a> <span class='hs-comment'>-- @</span>
<a name="line-38"></a> <span class='hs-comment'>-- a '.>' b ≡ 'const' 'id' '<$>' a '<.>' b</span>
<a name="line-39"></a> <span class='hs-comment'>-- @</span>
<a name="line-40"></a> <span class='hs-layout'>(</span><span class='hs-varop'>.>></span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span>
<a name="line-41"></a> <span class='hs-varid'>a</span> <span class='hs-varop'>.>></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimap</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span> <span class='hs-varop'><<$>></span> <span class='hs-varid'>a</span> <span class='hs-varop'><<.>></span> <span class='hs-varid'>b</span>
<a name="line-42"></a> <span class='hs-comment'>{-# INLINE (.>>) #-}</span>
<a name="line-43"></a>
<a name="line-44"></a> <span class='hs-comment'>-- |</span>
<a name="line-45"></a> <span class='hs-comment'>-- @</span>
<a name="line-46"></a> <span class='hs-comment'>-- a '<.' b ≡ 'const' '<$>' a '<.>' b</span>
<a name="line-47"></a> <span class='hs-comment'>-- @</span>
<a name="line-48"></a> <span class='hs-layout'>(</span><span class='hs-varop'><<.</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-49"></a> <span class='hs-varid'>a</span> <span class='hs-varop'><<.</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimap</span> <span class='hs-varid'>const</span> <span class='hs-varid'>const</span> <span class='hs-varop'><<$>></span> <span class='hs-varid'>a</span> <span class='hs-varop'><<.>></span> <span class='hs-varid'>b</span>
<a name="line-50"></a> <span class='hs-comment'>{-# INLINE (<<.) #-}</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="%3c%3c..%3e%3e"></a><span class='hs-layout'>(</span><span class='hs-varop'><<..>></span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Biapply</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'>c</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'>-></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'>-></span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>p</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span>
<a name="line-53"></a><span class='hs-layout'>(</span><span class='hs-varop'><<..>></span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bilift2</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-54"></a><span class='hs-comment'>{-# INLINE (<<..>>) #-}</span>
<a name="line-55"></a>
<a name="line-56"></a><a name="bilift2"></a><span class='hs-comment'>-- | Lift binary functions</span>
<a name="line-57"></a><span class='hs-definition'>bilift2</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Biapply</span> <span class='hs-varid'>w</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'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>b</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span>
<a name="line-58"></a><span class='hs-definition'>bilift2</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'><<$>></span> <span class='hs-varid'>a</span> <span class='hs-varop'><<.>></span> <span class='hs-varid'>b</span>
<a name="line-59"></a><span class='hs-comment'>{-# INLINE bilift2 #-}</span>
<a name="line-60"></a>
<a name="line-61"></a><a name="bilift3"></a><span class='hs-comment'>-- | Lift ternary functions</span>
<a name="line-62"></a><span class='hs-definition'>bilift3</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Biapply</span> <span class='hs-varid'>w</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'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>h</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>b</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>c</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>w</span> <span class='hs-varid'>d</span> <span class='hs-varid'>h</span>
<a name="line-63"></a><span class='hs-definition'>bilift3</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'><<$>></span> <span class='hs-varid'>a</span> <span class='hs-varop'><<.>></span> <span class='hs-varid'>b</span> <span class='hs-varop'><<.>></span> <span class='hs-varid'>c</span>
<a name="line-64"></a><span class='hs-comment'>{-# INLINE bilift3 #-}</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="instance%20Biapply%20(,)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Biapply</span> <span class='hs-conid'>(,)</span> <span class='hs-keyword'>where</span>
<a name="line-67"></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'><<.>></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-68"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
<a name="line-69"></a>
<a name="line-70"></a><a name="instance%20Biapply%20((,,)%20x)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Semigroup</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapply</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-71"></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'><<.>></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'>x</span> <span class='hs-varop'><></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-72"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
<a name="line-73"></a>
<a name="line-74"></a><a name="instance%20Biapply%20((,,,)%20x%20y)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Semigroup</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Semigroup</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapply</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-75"></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'><<.>></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'>x</span> <span class='hs-varop'><></span> <span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span> <span class='hs-varop'><></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-76"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
<a name="line-77"></a>
<a name="line-78"></a><a name="instance%20Biapply%20((,,,,)%20x%20y%20z)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Semigroup</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Semigroup</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-conid'>Semigroup</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapply</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-79"></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'><<.>></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'>x</span> <span class='hs-varop'><></span> <span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span> <span class='hs-varop'><></span> <span class='hs-varid'>y'</span><span class='hs-layout'>,</span> <span class='hs-varid'>z</span> <span class='hs-varop'><></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-80"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
<a name="line-81"></a>
<a name="line-82"></a><a name="instance%20Biapply%20Const"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Biapply</span> <span class='hs-conid'>Const</span> <span class='hs-keyword'>where</span>
<a name="line-83"></a> <span class='hs-conid'>Const</span> <span class='hs-varid'>f</span> <span class='hs-varop'><<.>></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-84"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="instance%20Biapply%20Tagged"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Biapply</span> <span class='hs-conid'>Tagged</span> <span class='hs-keyword'>where</span>
<a name="line-87"></a> <span class='hs-conid'>Tagged</span> <span class='hs-varid'>f</span> <span class='hs-varop'><<.>></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-88"></a> <span class='hs-comment'>{-# INLINE (<<.>>) #-}</span>
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