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<title>src/Data/Functor/Contravariant/Generic.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE BangPatterns #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE MultiParamTypeClasses #-}</span>
<a name="line-4"></a><span class='hs-comment'>{-# LANGUAGE ConstraintKinds #-}</span>
<a name="line-5"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-6"></a><span class='hs-comment'>{-# LANGUAGE TypeOperators #-}</span>
<a name="line-7"></a><span class='hs-comment'>{-# LANGUAGE Rank2Types #-}</span>
<a name="line-8"></a><span class='hs-comment'>{-# LANGUAGE UndecidableInstances #-}</span>
<a name="line-9"></a><span class='hs-comment'>{-# LANGUAGE FlexibleContexts #-}</span>
<a name="line-10"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ >= 706</span>
<a name="line-11"></a><span class='hs-comment'>{-# LANGUAGE PolyKinds #-}</span>
<a name="line-12"></a><span class='hs-cpp'>#endif</span>
<a name="line-13"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-14"></a><span class='hs-comment'>-- |</span>
<a name="line-15"></a><span class='hs-comment'>-- Module : Data.Functor.Contravariant.Generic</span>
<a name="line-16"></a><span class='hs-comment'>-- Copyright : (C) 2007-2015 Edward Kmett</span>
<a name="line-17"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-18"></a><span class='hs-comment'>--</span>
<a name="line-19"></a><span class='hs-comment'>-- Maintainer : Edward Kmett <ekmett@gmail.com></span>
<a name="line-20"></a><span class='hs-comment'>-- Stability : experimental</span>
<a name="line-21"></a><span class='hs-comment'>-- Portability : ConstraintKinds</span>
<a name="line-22"></a><span class='hs-comment'>--</span>
<a name="line-23"></a><span class='hs-comment'>--</span>
<a name="line-24"></a><span class='hs-comment'>--</span>
<a name="line-25"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-26"></a>
<a name="line-27"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Contravariant</span><span class='hs-varop'>.</span><span class='hs-conid'>Generic</span>
<a name="line-28"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Deciding</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-29"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Deciding1</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-30"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-31"></a>
<a name="line-32"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Contravariant</span>
<a name="line-33"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Contravariant</span><span class='hs-varop'>.</span><span class='hs-conid'>Divisible</span>
<a name="line-34"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>GHC</span><span class='hs-varop'>.</span><span class='hs-conid'>Generics</span>
<a name="line-35"></a>
<a name="line-36"></a><a name="Deciding"></a><span class='hs-comment'>-- | This provides machinery for deconstructing an arbitrary 'Generic' instance using a 'Decidable' 'Contravariant' functor.</span>
<a name="line-37"></a><a name="Deciding"></a><span class='hs-comment'>--</span>
<a name="line-38"></a><a name="Deciding"></a><span class='hs-comment'>-- /Examples:/</span>
<a name="line-39"></a><a name="Deciding"></a><span class='hs-comment'>--</span>
<a name="line-40"></a><a name="Deciding"></a><span class='hs-comment'>-- @</span>
<a name="line-41"></a><a name="Deciding"></a><span class='hs-comment'>-- gcompare :: 'Deciding' 'Ord' a => a -> a -> 'Ordering'</span>
<a name="line-42"></a><a name="Deciding"></a><span class='hs-comment'>-- gcompare = 'getComparison' $ 'deciding' (Proxy :: Proxy 'Ord') ('Comparison' 'compare')</span>
<a name="line-43"></a><a name="Deciding"></a><span class='hs-comment'>-- @</span>
<a name="line-44"></a><a name="Deciding"></a><span class='hs-comment'>--</span>
<a name="line-45"></a><a name="Deciding"></a><span class='hs-comment'>-- @</span>
<a name="line-46"></a><a name="Deciding"></a><span class='hs-comment'>-- geq :: 'Deciding' 'Eq' a => a -> a -> 'Bool'</span>
<a name="line-47"></a><a name="Deciding"></a><span class='hs-comment'>-- geq = 'getEquivalence' $ 'deciding' (Proxy :: Proxy 'Eq') ('Equivalence' ('=='))</span>
<a name="line-48"></a><a name="Deciding"></a><span class='hs-comment'>-- @</span>
<a name="line-49"></a><a name="Deciding"></a><span class='hs-keyword'>class</span> <span class='hs-layout'>(</span><span class='hs-conid'>Generic</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rep</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Deciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-50"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-51"></a> <span class='hs-varid'>deciding</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Decidable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>b</span><span class='hs-varop'>.</span> <span class='hs-varid'>q</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=></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-varid'>a</span>
<a name="line-52"></a><span class='hs-cpp'>#endif</span>
<a name="line-53"></a>
<a name="line-54"></a><a name="instance%20Deciding%20q%20a"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Generic</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rep</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Deciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-55"></a> <span class='hs-varid'>deciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>from</span> <span class='hs-varop'>$</span> <span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="Deciding1"></a><span class='hs-comment'>-- | This provides machinery for deconstructing an arbitrary 'Generic1' instance using a 'Decidable' 'Contravariant' functor.</span>
<a name="line-58"></a><a name="Deciding1"></a><span class='hs-comment'>--</span>
<a name="line-59"></a><a name="Deciding1"></a><span class='hs-comment'>-- /Examples:/</span>
<a name="line-60"></a><a name="Deciding1"></a><span class='hs-comment'>--</span>
<a name="line-61"></a><a name="Deciding1"></a><span class='hs-comment'>-- @</span>
<a name="line-62"></a><a name="Deciding1"></a><span class='hs-comment'>-- gcompare1 :: 'Deciding1' 'Ord' f => (a -> a -> 'Ordering') -> f a -> f a -> 'Ordering'</span>
<a name="line-63"></a><a name="Deciding1"></a><span class='hs-comment'>-- gcompare1 f = 'getComparison' $ 'deciding1' (Proxy :: Proxy 'Ord') ('Comparison' compare) ('Comparison' f)</span>
<a name="line-64"></a><a name="Deciding1"></a><span class='hs-comment'>-- @</span>
<a name="line-65"></a><a name="Deciding1"></a><span class='hs-comment'>--</span>
<a name="line-66"></a><a name="Deciding1"></a><span class='hs-comment'>-- @</span>
<a name="line-67"></a><a name="Deciding1"></a><span class='hs-comment'>-- geq1 :: 'Deciding1' 'Eq' f => (a -> a -> 'Bool') -> f a -> f a -> 'Bool'</span>
<a name="line-68"></a><a name="Deciding1"></a><span class='hs-comment'>-- geq1 f = 'getEquivalence' $ 'deciding1' (Proxy :: Proxy 'Eq') ('Equivalence' ('==')) ('Equivalence' f)</span>
<a name="line-69"></a><a name="Deciding1"></a><span class='hs-comment'>-- @</span>
<a name="line-70"></a><a name="Deciding1"></a><span class='hs-keyword'>class</span> <span class='hs-layout'>(</span><span class='hs-conid'>Generic1</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rep1</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Deciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-71"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-72"></a> <span class='hs-varid'>deciding1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Decidable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>b</span><span class='hs-varop'>.</span> <span class='hs-varid'>q</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=></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-varid'>a</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-layout'>)</span>
<a name="line-73"></a><span class='hs-cpp'>#endif</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="instance%20Deciding1%20q%20t"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Generic1</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rep1</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Deciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-76"></a> <span class='hs-varid'>deciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>from1</span> <span class='hs-varop'>$</span> <span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span>
<a name="line-77"></a>
<a name="line-78"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-79"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-80"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Decidable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>b</span><span class='hs-varop'>.</span> <span class='hs-varid'>q</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=></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-layout'>)</span>
<a name="line-81"></a><span class='hs-cpp'>#endif</span>
<a name="line-82"></a>
<a name="line-83"></a><a name="instance%20GDeciding%20q%20U1"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-conid'>U1</span> <span class='hs-keyword'>where</span>
<a name="line-84"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conquer</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="instance%20GDeciding%20q%20V1"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-conid'>V1</span> <span class='hs-keyword'>where</span>
<a name="line-87"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lose</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varop'>!</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>error</span> <span class='hs-str'>"impossible"</span><span class='hs-layout'>)</span>
<a name="line-88"></a>
<a name="line-89"></a><a name="instance%20GDeciding%20q%20(f%20:*:%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conop'>:*:</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-90"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>divide</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-conop'>:*:</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'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span>
<a name="line-91"></a>
<a name="line-92"></a><a name="instance%20GDeciding%20q%20(f%20:+:%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conop'>:+:</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-93"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>L1</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Left</span> <span class='hs-varid'>a</span><span class='hs-layout'>;</span> <span class='hs-conid'>R1</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Right</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span>
<a name="line-94"></a>
<a name="line-95"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-96"></a><a name="instance%20GDeciding%20q%20(K1%20i%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-varid'>q</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>K1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-97"></a><span class='hs-cpp'>#endif</span>
<a name="line-98"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>unK1</span> <span class='hs-varid'>q</span>
<a name="line-99"></a>
<a name="line-100"></a><a name="instance%20GDeciding%20q%20(M1%20i%20c%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>M1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-101"></a> <span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>unM1</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span><span class='hs-layout'>)</span>
<a name="line-102"></a>
<a name="line-103"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-104"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-105"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Decidable</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>b</span><span class='hs-varop'>.</span> <span class='hs-varid'>q</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=></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-varid'>a</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-layout'>)</span>
<a name="line-106"></a><span class='hs-cpp'>#endif</span>
<a name="line-107"></a>
<a name="line-108"></a><a name="instance%20GDeciding1%20q%20U1"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-conid'>U1</span> <span class='hs-keyword'>where</span>
<a name="line-109"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>conquer</span>
<a name="line-110"></a>
<a name="line-111"></a><a name="instance%20GDeciding1%20q%20V1"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-conid'>V1</span> <span class='hs-keyword'>where</span>
<a name="line-112"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lose</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varop'>!</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>error</span> <span class='hs-str'>"impossible"</span><span class='hs-layout'>)</span>
<a name="line-113"></a>
<a name="line-114"></a><a name="instance%20GDeciding1%20q%20(f%20:*:%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conop'>:*:</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-115"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>divide</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-conop'>:*:</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'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-116"></a>
<a name="line-117"></a><a name="instance%20GDeciding1%20q%20(f%20:+:%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-conop'>:+:</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-118"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>L1</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Left</span> <span class='hs-varid'>a</span><span class='hs-layout'>;</span> <span class='hs-conid'>R1</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Right</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-119"></a>
<a name="line-120"></a><span class='hs-cpp'>#ifndef HLINT</span>
<a name="line-121"></a><a name="instance%20GDeciding1%20q%20(K1%20i%20p)"></a><span class='hs-keyword'>instance</span> <span class='hs-varid'>q</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>K1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-122"></a><span class='hs-cpp'>#endif</span>
<a name="line-123"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>q</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>unK1</span> <span class='hs-varid'>q</span>
<a name="line-124"></a>
<a name="line-125"></a><a name="instance%20GDeciding1%20q%20(M1%20i%20c%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>M1</span> <span class='hs-varid'>i</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-126"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>unM1</span> <span class='hs-layout'>(</span><span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-127"></a>
<a name="line-128"></a><a name="instance%20GDeciding1%20q%20Par1"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-conid'>Par1</span> <span class='hs-keyword'>where</span>
<a name="line-129"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>unPar1</span> <span class='hs-varid'>r</span>
<a name="line-130"></a>
<a name="line-131"></a><span class='hs-comment'>-- instance GDeciding1 q f => GDeciding1 q (Rec1 f) where gdeciding1 p q r = contramap unRec1 (gdeciding1 p q r)</span>
<a name="line-132"></a>
<a name="line-133"></a><a name="instance%20GDeciding1%20q%20(Rec1%20f)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Deciding1</span> <span class='hs-varid'>q</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>GDeciding1</span> <span class='hs-varid'>q</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rec1</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-134"></a> <span class='hs-varid'>gdeciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contramap</span> <span class='hs-varid'>unRec1</span> <span class='hs-layout'>(</span><span class='hs-varid'>deciding1</span> <span class='hs-varid'>p</span> <span class='hs-varid'>q</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
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