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<?xml version="1.0" encoding="UTF-8"?>
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<title>src/Data/Bitraversable.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.Bitraversable</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 &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'>Bitraversable</span>
<a name="line-13"></a>  <span class='hs-layout'>(</span> <span class='hs-conid'>Bitraversable</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-14"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bifor</span>
<a name="line-15"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>biforM</span>
<a name="line-16"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bimapAccumL</span>
<a name="line-17"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bimapAccumR</span>
<a name="line-18"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bimapDefault</span>
<a name="line-19"></a>  <span class='hs-layout'>,</span> <span class='hs-varid'>bifoldMapDefault</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'>Bifoldable</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><a name="Bitraversable"></a><span class='hs-keyword'>class</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bifunctor</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bifoldable</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-29"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</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'>f</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'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-30"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bisequenceA</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span>
<a name="line-31"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-32"></a>
<a name="line-33"></a>  <span class='hs-varid'>bisequenceA</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-34"></a>  <span class='hs-varid'>bisequenceA</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>id</span> <span class='hs-varid'>id</span>
<a name="line-35"></a>  <span class='hs-comment'>{-# INLINE bisequenceA #-}</span>
<a name="line-36"></a>
<a name="line-37"></a>  <span class='hs-varid'>bimapM</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</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'>m</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'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-38"></a>  <span class='hs-varid'>bimapM</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unwrapMonad</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bitraverse</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrapMonad</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>WrapMonad</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-39"></a>  <span class='hs-comment'>{-# INLINE bimapM #-}</span>
<a name="line-40"></a>
<a name="line-41"></a>  <span class='hs-varid'>bisequence</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>t</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-42"></a>  <span class='hs-varid'>bisequence</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimapM</span> <span class='hs-varid'>id</span> <span class='hs-varid'>id</span>
<a name="line-43"></a>  <span class='hs-comment'>{-# INLINE bisequence #-}</span>
<a name="line-44"></a>
<a name="line-45"></a><a name="instance%20Bitraversable%20(,)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-conid'>(,)</span> <span class='hs-keyword'>where</span>
<a name="line-46"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>~</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-conid'>(,)</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-47"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-48"></a>
<a name="line-49"></a><a name="instance%20Bitraversable%20((,,)%20x)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-50"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>~</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,,)</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-51"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-52"></a>
<a name="line-53"></a><a name="instance%20Bitraversable%20((,,,)%20x%20y)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</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-54"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>~</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-conid'>(,,,)</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-55"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="instance%20Bitraversable%20((,,,,)%20x%20y%20z)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,,,,)</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-58"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>~</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>z</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,,,,)</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-59"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-60"></a>
<a name="line-61"></a><a name="instance%20Bitraversable%20Either"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-conid'>Either</span> <span class='hs-keyword'>where</span>
<a name="line-62"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-63"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Right</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-64"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="instance%20Bitraversable%20Const"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-conid'>Const</span> <span class='hs-keyword'>where</span>
<a name="line-67"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>Const</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Const</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-68"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-69"></a>
<a name="line-70"></a><a name="instance%20Bitraversable%20Tagged"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-conid'>Tagged</span> <span class='hs-keyword'>where</span>
<a name="line-71"></a>  <span class='hs-varid'>bitraverse</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tagged</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Tagged</span> <span class='hs-varop'>&lt;$&gt;</span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-72"></a>  <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-73"></a>
<a name="line-74"></a><a name="bifor"></a><span class='hs-definition'>bifor</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Applicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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'>f</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'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-75"></a><span class='hs-definition'>bifor</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span>
<a name="line-76"></a><span class='hs-comment'>{-# INLINE bifor #-}</span>
<a name="line-77"></a>
<a name="line-78"></a><a name="biforM"></a><span class='hs-definition'>biforM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span>  <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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'>m</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'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-79"></a><span class='hs-definition'>biforM</span> <span class='hs-varid'>t</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bimapM</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span>
<a name="line-80"></a><span class='hs-comment'>{-# INLINE biforM #-}</span>
<a name="line-81"></a>
<a name="line-82"></a><a name="StateL"></a><span class='hs-comment'>-- | left-to-right state transformer</span>
<a name="line-83"></a><a name="StateL"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>StateL</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateL</span> <span class='hs-layout'>{</span> <span class='hs-varid'>runStateL</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-84"></a>
<a name="line-85"></a><a name="instance%20Functor%20(StateL%20s)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateL</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-86"></a>  <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateL</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateL</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-87"></a>    <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-88"></a>  <span class='hs-comment'>{-# INLINE fmap #-}</span>
<a name="line-89"></a>
<a name="line-90"></a><a name="instance%20Applicative%20(StateL%20s)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Applicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateL</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-91"></a>  <span class='hs-varid'>pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateL</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-92"></a>  <span class='hs-comment'>{-# INLINE pure #-}</span>
<a name="line-93"></a>  <span class='hs-conid'>StateL</span> <span class='hs-varid'>kf</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-conid'>StateL</span> <span class='hs-varid'>kv</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateL</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-94"></a>    <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>kf</span> <span class='hs-varid'>s</span>
<a name="line-95"></a>        <span class='hs-layout'>(</span><span class='hs-varid'>s''</span><span class='hs-layout'>,</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>kv</span> <span class='hs-varid'>s'</span>
<a name="line-96"></a>    <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>s''</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-97"></a>  <span class='hs-comment'>{-# INLINE (&lt;*&gt;) #-}</span>
<a name="line-98"></a>
<a name="line-99"></a><a name="bimapAccumL"></a><span class='hs-definition'>bimapAccumL</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</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-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</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'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-100"></a><span class='hs-definition'>bimapAccumL</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runStateL</span> <span class='hs-layout'>(</span><span class='hs-varid'>bitraverse</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateL</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateL</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-101"></a><span class='hs-comment'>{-# INLINE bimapAccumL #-}</span>
<a name="line-102"></a>
<a name="line-103"></a><a name="StateR"></a><span class='hs-comment'>-- | right-to-left state transformer</span>
<a name="line-104"></a><a name="StateR"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>StateR</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateR</span> <span class='hs-layout'>{</span> <span class='hs-varid'>runStateR</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-105"></a>
<a name="line-106"></a><a name="instance%20Functor%20(StateR%20s)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateR</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-107"></a>  <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateR</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateR</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-108"></a>    <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-109"></a>  <span class='hs-comment'>{-# INLINE fmap #-}</span>
<a name="line-110"></a>
<a name="line-111"></a><a name="instance%20Applicative%20(StateR%20s)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Applicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateR</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-112"></a>  <span class='hs-varid'>pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateR</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-113"></a>  <span class='hs-comment'>{-# INLINE pure #-}</span>
<a name="line-114"></a>  <span class='hs-conid'>StateR</span> <span class='hs-varid'>kf</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-conid'>StateR</span> <span class='hs-varid'>kv</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateR</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-115"></a>    <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>kv</span> <span class='hs-varid'>s</span>
<a name="line-116"></a>        <span class='hs-layout'>(</span><span class='hs-varid'>s''</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>kf</span> <span class='hs-varid'>s'</span>
<a name="line-117"></a>    <span class='hs-keyword'>in</span> <span class='hs-layout'>(</span><span class='hs-varid'>s''</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-118"></a>  <span class='hs-comment'>{-# INLINE (&lt;*&gt;) #-}</span>
<a name="line-119"></a>
<a name="line-120"></a><a name="bimapAccumR"></a><span class='hs-definition'>bimapAccumR</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</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-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</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'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-121"></a><span class='hs-definition'>bimapAccumR</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runStateR</span> <span class='hs-layout'>(</span><span class='hs-varid'>bitraverse</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateR</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>StateR</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-122"></a><span class='hs-comment'>{-# INLINE bimapAccumR #-}</span>
<a name="line-123"></a>
<a name="line-124"></a><a name="Id"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Id</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Id</span> <span class='hs-layout'>{</span> <span class='hs-varid'>getId</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-layout'>}</span>
<a name="line-125"></a>
<a name="line-126"></a><a name="instance%20Functor%20Id"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-conid'>Id</span> <span class='hs-keyword'>where</span>
<a name="line-127"></a>  <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Id</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Id</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-128"></a>  <span class='hs-comment'>{-# INLINE fmap #-}</span>
<a name="line-129"></a>
<a name="line-130"></a><a name="instance%20Applicative%20Id"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Applicative</span> <span class='hs-conid'>Id</span> <span class='hs-keyword'>where</span>
<a name="line-131"></a>  <span class='hs-varid'>pure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Id</span>
<a name="line-132"></a>  <span class='hs-comment'>{-# INLINE pure #-}</span>
<a name="line-133"></a>  <span class='hs-conid'>Id</span> <span class='hs-varid'>f</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-conid'>Id</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Id</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-134"></a>  <span class='hs-comment'>{-# INLINE (&lt;*&gt;) #-}</span>
<a name="line-135"></a>
<a name="line-136"></a><a name="bimapDefault"></a><span class='hs-definition'>bimapDefault</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</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-layout'>)</span> <span class='hs-keyglyph'>-&gt;</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'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span>
<a name="line-137"></a><span class='hs-definition'>bimapDefault</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getId</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bitraverse</span> <span class='hs-layout'>(</span><span class='hs-conid'>Id</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Id</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-138"></a><span class='hs-comment'>{-# INLINE bimapDefault #-}</span>
<a name="line-139"></a>
<a name="line-140"></a><a name="bifoldMapDefault"></a><span class='hs-definition'>bifoldMapDefault</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monoid</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</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'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>m</span>
<a name="line-141"></a><span class='hs-definition'>bifoldMapDefault</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getConst</span> <span class='hs-varop'>.</span> <span class='hs-varid'>bitraverse</span> <span class='hs-layout'>(</span><span class='hs-conid'>Const</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Const</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-142"></a><span class='hs-comment'>{-# INLINE bifoldMapDefault #-}</span>
</pre></body>
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