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<title>Data/Generics/PlateData.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE ScopedTypeVariables, FlexibleInstances, MultiParamTypeClasses, UndecidableInstances, ExistentialQuantification, Rank2Types, CPP #-}</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-comment'>{- |
<a name="line-4"></a> /RECOMMENDATION/: Use "Data.Generics.Uniplate.Data" instead.
<a name="line-5"></a>
<a name="line-6"></a> This module exports 'Biplate' instances for everything with 'Data' defined.
<a name="line-7"></a> Using GHC the 'Data' instances can be constructed with @deriving Data@.
<a name="line-8"></a>-}</span>
<a name="line-9"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Generics</span><span class='hs-varop'>.</span><span class='hs-conid'>PlateData</span><span class='hs-layout'>(</span>
<a name="line-10"></a> <span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Generics</span><span class='hs-varop'>.</span><span class='hs-conid'>Biplate</span>
<a name="line-11"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-12"></a>
<a name="line-13"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Generics</span><span class='hs-varop'>.</span><span class='hs-conid'>Biplate</span>
<a name="line-14"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Generics</span><span class='hs-varop'>.</span><span class='hs-conid'>PlateInternal</span>
<a name="line-15"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Generics</span>
<a name="line-16"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>IntSet</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>IntSet</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Ratio</span>
<a name="line-19"></a>
<a name="line-20"></a>
<a name="line-21"></a>
<a name="line-22"></a><a name="DataBox"></a><span class='hs-comment'>-- | An existential box representing a type which supports SYB</span>
<a name="line-23"></a><a name="DataBox"></a><span class='hs-comment'>-- operations.</span>
<a name="line-24"></a><a name="DataBox"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>DataBox</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>a</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>DataBox</span> <span class='hs-varid'>a</span>
<a name="line-25"></a>
<a name="line-26"></a><a name="Box"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Box</span> <span class='hs-varid'>find</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Box</span> <span class='hs-layout'>{</span><span class='hs-varid'>fromBox</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyword'>forall</span> <span class='hs-varid'>a</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Answer</span> <span class='hs-varid'>find</span><span class='hs-layout'>}</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="Answer"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Answer</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Hit</span> <span class='hs-layout'>{</span><span class='hs-varid'>fromHit</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span><span class='hs-layout'>}</span> <span class='hs-comment'>-- you just hit the element you were after (here is a cast)</span>
<a name="line-29"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Follow</span> <span class='hs-comment'>-- go forward, you will find something</span>
<a name="line-30"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Miss</span> <span class='hs-comment'>-- you failed to sink my battleship!</span>
<a name="line-31"></a>
<a name="line-32"></a>
<a name="line-33"></a>
<a name="line-34"></a><a name="containsMatch"></a><span class='hs-definition'>containsMatch</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>start</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>start</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>find</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>find</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-35"></a> <span class='hs-varid'>start</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>find</span> <span class='hs-keyglyph'>-></span>
<a name="line-36"></a> <span class='hs-conid'>Box</span> <span class='hs-varid'>find</span>
<a name="line-37"></a>
<a name="line-38"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ < 606</span>
<a name="line-39"></a><span class='hs-comment'>-- GHC 6.4.2 does not export typeRepKey, so we can't do the trick</span>
<a name="line-40"></a><span class='hs-comment'>-- as efficiently, so we just give up and revert to always following</span>
<a name="line-41"></a>
<a name="line-42"></a><span class='hs-definition'>containsMatch</span> <span class='hs-varid'>start</span> <span class='hs-varid'>find</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Box</span> <span class='hs-varid'>query</span>
<a name="line-43"></a> <span class='hs-keyword'>where</span>
<a name="line-44"></a> <span class='hs-varid'>query</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>cast</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>of</span>
<a name="line-45"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Hit</span> <span class='hs-varid'>y</span>
<a name="line-46"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Follow</span>
<a name="line-47"></a>
<a name="line-48"></a><span class='hs-cpp'>#else</span>
<a name="line-49"></a><span class='hs-comment'>-- GHC 6.6 does contain typeRepKey, so only follow when appropriate</span>
<a name="line-50"></a>
<a name="line-51"></a><span class='hs-definition'>containsMatch</span> <span class='hs-varid'>start</span> <span class='hs-varid'>find</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Box</span> <span class='hs-varid'>query</span>
<a name="line-52"></a> <span class='hs-keyword'>where</span>
<a name="line-53"></a> <span class='hs-varid'>typeInt</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inlinePerformIO</span> <span class='hs-varop'>$</span> <span class='hs-varid'>typeRepKey</span> <span class='hs-varid'>x</span>
<a name="line-54"></a>
<a name="line-55"></a> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Answer</span> <span class='hs-varid'>find</span>
<a name="line-56"></a> <span class='hs-varid'>query</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>tifind</span> <span class='hs-varop'>==</span> <span class='hs-varid'>tia</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>Hit</span> <span class='hs-layout'>(</span><span class='hs-varid'>unsafeCast</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-57"></a> <span class='hs-keyword'>else</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>tia</span> <span class='hs-varop'>`</span><span class='hs-conid'>IntSet</span><span class='hs-varop'>.</span><span class='hs-varid'>member</span><span class='hs-varop'>`</span> <span class='hs-varid'>timatch</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>Follow</span> <span class='hs-keyword'>else</span> <span class='hs-conid'>Miss</span>
<a name="line-58"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>tia</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>typeInt</span> <span class='hs-varop'>$</span> <span class='hs-varid'>typeOf</span> <span class='hs-varid'>a</span>
<a name="line-59"></a>
<a name="line-60"></a> <span class='hs-varid'>tifind</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>typeInt</span> <span class='hs-varid'>tfind</span>
<a name="line-61"></a> <span class='hs-varid'>timatch</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IntSet</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>typeInt</span> <span class='hs-varid'>tmatch</span>
<a name="line-62"></a>
<a name="line-63"></a> <span class='hs-varid'>tfind</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>typeOf</span> <span class='hs-varid'>find</span>
<a name="line-64"></a> <span class='hs-varid'>tmatch</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>tfind</span><span class='hs-keyglyph'>]</span> <span class='hs-layout'>(</span><span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>/=</span><span class='hs-layout'>)</span> <span class='hs-varid'>tfind</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fst</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>containsList</span> <span class='hs-varid'>start</span><span class='hs-layout'>)</span>
<a name="line-65"></a>
<a name="line-66"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>want</span> <span class='hs-varid'>have</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>null</span> <span class='hs-varid'>want2</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>[]</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>want2</span> <span class='hs-varop'>++</span> <span class='hs-varid'>f</span> <span class='hs-varid'>want2</span> <span class='hs-varid'>no</span>
<a name="line-67"></a> <span class='hs-keyword'>where</span>
<a name="line-68"></a> <span class='hs-varid'>want2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>yes</span>
<a name="line-69"></a> <span class='hs-layout'>(</span><span class='hs-varid'>yes</span><span class='hs-layout'>,</span><span class='hs-varid'>no</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>partition</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varop'>.</span> <span class='hs-varid'>null</span> <span class='hs-varop'>.</span> <span class='hs-varid'>intersect</span> <span class='hs-varid'>want</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span><span class='hs-layout'>)</span> <span class='hs-varid'>have</span>
<a name="line-70"></a>
<a name="line-71"></a><a name="containsList"></a><span class='hs-definition'>containsList</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</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-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>TypeRep</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>TypeRep</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-72"></a><span class='hs-definition'>containsList</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>DataBox</span> <span class='hs-varid'>x</span><span class='hs-keyglyph'>]</span>
<a name="line-73"></a> <span class='hs-keyword'>where</span>
<a name="line-74"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>done</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-75"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>done</span> <span class='hs-layout'>(</span><span class='hs-conid'>DataBox</span> <span class='hs-varid'>t</span><span class='hs-conop'>:</span><span class='hs-varid'>odo</span><span class='hs-layout'>)</span>
<a name="line-76"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>tt</span> <span class='hs-varop'>`elem`</span> <span class='hs-varid'>done</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>done</span> <span class='hs-varid'>odo</span>
<a name="line-77"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>tt</span><span class='hs-layout'>,</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-conid'>DataBox</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>typeOf</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>tt</span><span class='hs-conop'>:</span><span class='hs-varid'>done</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>xs</span><span class='hs-varop'>++</span><span class='hs-varid'>odo</span><span class='hs-layout'>)</span>
<a name="line-78"></a> <span class='hs-keyword'>where</span>
<a name="line-79"></a> <span class='hs-varid'>tt</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>typeOf</span> <span class='hs-varid'>t</span>
<a name="line-80"></a> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>contains</span> <span class='hs-varid'>t</span>
<a name="line-81"></a>
<a name="line-82"></a>
<a name="line-83"></a><a name="evilRatio"></a><span class='hs-comment'>-- Ratio is strict and causes bugs with fromConstr in GHC 6.10.1</span>
<a name="line-84"></a><span class='hs-comment'>-- See bug <a href="http://hackage.haskell.org/trac/ghc/ticket/2782">http://hackage.haskell.org/trac/ghc/ticket/2782</a></span>
<a name="line-85"></a><span class='hs-definition'>evilRatio</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>$</span> <span class='hs-varid'>splitTyConApp</span> <span class='hs-varop'>$</span> <span class='hs-varid'>typeOf</span> <span class='hs-layout'>(</span><span class='hs-varid'>undefined</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Ratio</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span>
<a name="line-86"></a>
<a name="line-87"></a><a name="contains"></a><span class='hs-definition'>contains</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</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-keyglyph'>[</span><span class='hs-conid'>DataBox</span><span class='hs-keyglyph'>]</span>
<a name="line-88"></a><span class='hs-definition'>contains</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>fst</span> <span class='hs-layout'>(</span><span class='hs-varid'>splitTyConApp</span> <span class='hs-varop'>$</span> <span class='hs-varid'>typeOf</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>evilRatio</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-89"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>isAlgType</span> <span class='hs-varid'>dtyp</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concatMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>ctrs</span>
<a name="line-90"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-91"></a> <span class='hs-keyword'>where</span>
<a name="line-92"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>ctr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gmapQ</span> <span class='hs-conid'>DataBox</span> <span class='hs-layout'>(</span><span class='hs-varid'>asTypeOf</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromConstr</span> <span class='hs-varid'>ctr</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-93"></a> <span class='hs-varid'>ctrs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dataTypeConstrs</span> <span class='hs-varid'>dtyp</span>
<a name="line-94"></a> <span class='hs-varid'>dtyp</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dataTypeOf</span> <span class='hs-varid'>x</span>
<a name="line-95"></a>
<a name="line-96"></a><span class='hs-cpp'>#endif</span>
<a name="line-97"></a>
<a name="line-98"></a>
<a name="line-99"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Uniplate</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-100"></a> <span class='hs-varid'>uniplate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>collect_generate</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromBox</span> <span class='hs-varid'>answer</span><span class='hs-layout'>)</span>
<a name="line-101"></a> <span class='hs-keyword'>where</span>
<a name="line-102"></a> <span class='hs-varid'>answer</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Box</span> <span class='hs-varid'>a</span>
<a name="line-103"></a> <span class='hs-varid'>answer</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>containsMatch</span> <span class='hs-layout'>(</span><span class='hs-varid'>undefined</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>undefined</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-104"></a>
<a name="line-105"></a>
<a name="line-106"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Uniplate</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biplate</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>where</span>
<a name="line-107"></a> <span class='hs-varid'>biplate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>collect_generate_self</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromBox</span> <span class='hs-varid'>answer</span><span class='hs-layout'>)</span>
<a name="line-108"></a> <span class='hs-keyword'>where</span>
<a name="line-109"></a> <span class='hs-varid'>answer</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Box</span> <span class='hs-varid'>b</span>
<a name="line-110"></a> <span class='hs-varid'>answer</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>containsMatch</span> <span class='hs-layout'>(</span><span class='hs-varid'>undefined</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>undefined</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-111"></a>
<a name="line-112"></a>
<a name="line-113"></a><a name="C"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>C</span> <span class='hs-varid'>x</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>C</span> <span class='hs-layout'>{</span><span class='hs-varid'>fromC</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>CC</span> <span class='hs-varid'>x</span> <span class='hs-varid'>a</span><span class='hs-layout'>}</span>
<a name="line-114"></a>
<a name="line-115"></a><a name="CC"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>CC</span> <span class='hs-varid'>x</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Str</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Str</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-116"></a>
<a name="line-117"></a>
<a name="line-118"></a><a name="collect_generate_self"></a><span class='hs-definition'>collect_generate_self</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>on</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>with</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>on</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>with</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-119"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>a</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Answer</span> <span class='hs-varid'>with</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>on</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CC</span> <span class='hs-varid'>with</span> <span class='hs-varid'>on</span>
<a name="line-120"></a><span class='hs-definition'>collect_generate_self</span> <span class='hs-varid'>oracle</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>res</span>
<a name="line-121"></a> <span class='hs-keyword'>where</span>
<a name="line-122"></a> <span class='hs-varid'>res</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>oracle</span> <span class='hs-varid'>x</span> <span class='hs-keyword'>of</span>
<a name="line-123"></a> <span class='hs-conid'>Hit</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>One</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-conid'>One</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>unsafeCast</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-124"></a> <span class='hs-conid'>Follow</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>collect_generate</span> <span class='hs-varid'>oracle</span> <span class='hs-varid'>x</span>
<a name="line-125"></a> <span class='hs-conid'>Miss</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Zero</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-126"></a>
<a name="line-127"></a>
<a name="line-128"></a><a name="collect_generate"></a><span class='hs-definition'>collect_generate</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Data</span> <span class='hs-varid'>on</span><span class='hs-layout'>,</span> <span class='hs-conid'>Data</span> <span class='hs-varid'>with</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>on</span><span class='hs-layout'>,</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>with</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-129"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>forall</span> <span class='hs-varid'>a</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Typeable</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Answer</span> <span class='hs-varid'>with</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>on</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>CC</span> <span class='hs-varid'>with</span> <span class='hs-varid'>on</span>
<a name="line-130"></a><span class='hs-definition'>collect_generate</span> <span class='hs-varid'>oracle</span> <span class='hs-varid'>item</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromC</span> <span class='hs-varop'>$</span> <span class='hs-varid'>gfoldl</span> <span class='hs-varid'>combine</span> <span class='hs-varid'>create</span> <span class='hs-varid'>item</span>
<a name="line-131"></a> <span class='hs-keyword'>where</span>
<a name="line-132"></a> <span class='hs-comment'>-- forall a b . Data a => C with (a -> b) -> a -> C with b</span>
<a name="line-133"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>C</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>collect_generate_self</span> <span class='hs-varid'>oracle</span> <span class='hs-varid'>x</span> <span class='hs-keyword'>of</span>
<a name="line-134"></a> <span class='hs-layout'>(</span><span class='hs-varid'>c2</span><span class='hs-layout'>,</span> <span class='hs-varid'>g2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>C</span> <span class='hs-layout'>(</span><span class='hs-conid'>Two</span> <span class='hs-varid'>c</span> <span class='hs-varid'>c2</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-conid'>Two</span> <span class='hs-varid'>c'</span> <span class='hs-varid'>c2'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>g</span> <span class='hs-varid'>c'</span> <span class='hs-layout'>(</span><span class='hs-varid'>g2</span> <span class='hs-varid'>c2'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-135"></a>
<a name="line-136"></a> <span class='hs-comment'>-- forall g . g -> C with g</span>
<a name="line-137"></a> <span class='hs-varid'>create</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>C</span> <span class='hs-layout'>(</span><span class='hs-conid'>Zero</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
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