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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 <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'>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'>Monoid</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>
<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'>Bifoldable</span>
<a name="line-26"></a>
<a name="line-27"></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'>=></span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-28"></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'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</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'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></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-29"></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-30"></a>
<a name="line-31"></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'>=></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'>-></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-32"></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-33"></a>
<a name="line-34"></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'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</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'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></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-35"></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-36"></a>
<a name="line-37"></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'>=></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'>-></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-38"></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-39"></a>
<a name="line-40"></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-41"></a> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</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'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varop'><*></span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-42"></a>
<a name="line-43"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-conid'>Either</span> <span class='hs-keyword'>where</span>
<a name="line-44"></a> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span>
<a name="line-45"></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'><$></span> <span class='hs-varid'>g</span> <span class='hs-varid'>b</span>
<a name="line-46"></a>
<a name="line-47"></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'>=></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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'>f</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'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>f</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></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-48"></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-49"></a><span class='hs-comment'>{-# INLINE bifor #-}</span>
<a name="line-50"></a>
<a name="line-51"></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'>=></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</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'>m</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'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></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-52"></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-53"></a>
<a name="line-54"></a>
<a name="line-55"></a><a name="StateL"></a><span class='hs-comment'>-- left-to-right state transformer</span>
<a name="line-56"></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'>-></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-57"></a>
<a name="line-58"></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-59"></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'>-></span>
<a name="line-60"></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-61"></a>
<a name="line-62"></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-63"></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'>-></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-64"></a> <span class='hs-conid'>StateL</span> <span class='hs-varid'>kf</span> <span class='hs-varop'><*></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'>-></span>
<a name="line-65"></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-66"></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-67"></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-68"></a>
<a name="line-69"></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'>=></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-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'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</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'>e</span><span class='hs-layout'>)</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'>t</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</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'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-70"></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-71"></a>
<a name="line-72"></a><a name="StateR"></a><span class='hs-comment'>-- right-to-left state transformer</span>
<a name="line-73"></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'>-></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-74"></a>
<a name="line-75"></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-76"></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'>-></span>
<a name="line-77"></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-78"></a>
<a name="line-79"></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-80"></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'>-></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-81"></a> <span class='hs-conid'>StateR</span> <span class='hs-varid'>kf</span> <span class='hs-varop'><*></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'>-></span>
<a name="line-82"></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-83"></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-84"></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-85"></a>
<a name="line-86"></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'>=></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-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'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</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'>e</span><span class='hs-layout'>)</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'>t</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</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'>t</span> <span class='hs-varid'>c</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-87"></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-88"></a>
<a name="line-89"></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-90"></a>
<a name="line-91"></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-92"></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-93"></a>
<a name="line-94"></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-95"></a> <span class='hs-varid'>pure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Id</span>
<a name="line-96"></a> <span class='hs-conid'>Id</span> <span class='hs-varid'>f</span> <span class='hs-varop'><*></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-97"></a>
<a name="line-98"></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'>=></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-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'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>b</span> <span class='hs-varid'>d</span>
<a name="line-99"></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-100"></a>
<a name="line-101"></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'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span>
<a name="line-102"></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>
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