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<title>src/full/Agda/TypeChecking/Rules/LHS/Implicit.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP, PatternGuards #-}</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Rules</span><span class='hs-varop'>.</span><span class='hs-conid'>LHS</span><span class='hs-varop'>.</span><span class='hs-conid'>Implicit</span> <span class='hs-keyword'>where</span>
<a name="line-4"></a>
<a name="line-5"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Maybe</span>
<a name="line-6"></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-7"></a>
<a name="line-8"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Common</span>
<a name="line-9"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Position</span>
<a name="line-10"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Info</span>
<a name="line-11"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span>
<a name="line-12"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Abstract</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>A</span>
<a name="line-13"></a>
<a name="line-14"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-15"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Implicit</span>
<a name="line-16"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Substitute</span>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Pretty</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Records</span>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Reduce</span>
<a name="line-20"></a>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Rules</span><span class='hs-varop'>.</span><span class='hs-conid'>LHS</span><span class='hs-varop'>.</span><span class='hs-conid'>Problem</span>
<a name="line-22"></a>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-24"></a>
<a name="line-25"></a><span class='hs-cpp'>#include "../../../undefined.h"</span>
<a name="line-26"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Impossible</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="insertImplicitProblem"></a><span class='hs-comment'>-- | Insert implicit patterns in a problem.</span>
<a name="line-29"></a><span class='hs-definition'>insertImplicitProblem</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Problem</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>Problem</span>
<a name="line-30"></a><span class='hs-definition'>insertImplicitProblem</span> <span class='hs-layout'>(</span><span class='hs-conid'>Problem</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>qs</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>pr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-31"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.imp"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span>
<a name="line-32"></a> <span class='hs-varid'>sep</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-str'>"insertImplicits"</span>
<a name="line-33"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>brackets</span> <span class='hs-varop'>$</span> <span class='hs-varid'>fsep</span> <span class='hs-varop'>$</span> <span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>prettyA</span> <span class='hs-varid'>ps</span>
<a name="line-34"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel</span>
<a name="line-35"></a> <span class='hs-keyglyph'>]</span>
<a name="line-36"></a> <span class='hs-varid'>ps'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>insertImplicitPatterns</span> <span class='hs-conid'>ExpandLast</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>tel</span>
<a name="line-37"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Problem</span> <span class='hs-varid'>ps'</span> <span class='hs-varid'>qs</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>pr</span>
<a name="line-38"></a>
<a name="line-39"></a><a name="insertImplicitPatterns"></a><span class='hs-comment'>-- | Insert implicit patterns in a list of patterns.</span>
<a name="line-40"></a><span class='hs-definition'>insertImplicitPatterns</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ExpandHidden</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>NamedArg</span> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>Pattern</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>NamedArg</span> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>Pattern</span><span class='hs-keyglyph'>]</span>
<a name="line-41"></a><span class='hs-definition'>insertImplicitPatterns</span> <span class='hs-varid'>exh</span> <span class='hs-varid'>ps</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-varid'>ps</span>
<a name="line-42"></a><span class='hs-definition'>insertImplicitPatterns</span> <span class='hs-conid'>DontExpandLast</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>[]</span>
<a name="line-43"></a><span class='hs-definition'>insertImplicitPatterns</span> <span class='hs-varid'>exh</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>tel</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>arg</span> <span class='hs-varid'>tel'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ps</span> <span class='hs-keyword'>of</span>
<a name="line-44"></a> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-45"></a> <span class='hs-varid'>i</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>insImp</span> <span class='hs-varid'>dummy</span> <span class='hs-varid'>tel</span>
<a name="line-46"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>of</span>
<a name="line-47"></a> <span class='hs-conid'>Just</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-48"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>hs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>implicitPs</span> <span class='hs-varid'>hs</span>
<a name="line-49"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>[]</span>
<a name="line-50"></a> <span class='hs-varid'>p</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-51"></a> <span class='hs-varid'>i</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>insImp</span> <span class='hs-varid'>p</span> <span class='hs-varid'>tel</span>
<a name="line-52"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>of</span>
<a name="line-53"></a> <span class='hs-conid'>Just</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-54"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>hs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>insertImplicitPatterns</span> <span class='hs-varid'>exh</span> <span class='hs-layout'>(</span><span class='hs-varid'>implicitPs</span> <span class='hs-varid'>hs</span> <span class='hs-varop'>++</span> <span class='hs-varid'>p</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel</span>
<a name="line-55"></a> <span class='hs-conid'>Nothing</span>
<a name="line-56"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>ImplicitP</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>namedArg</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span>
<a name="line-57"></a> <span class='hs-varid'>argHiding</span> <span class='hs-varid'>p</span> <span class='hs-varop'>/=</span> <span class='hs-conid'>Instance</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-58"></a> <span class='hs-comment'>-- Eta expand implicit patterns of record type (issue 473),</span>
<a name="line-59"></a> <span class='hs-comment'>-- but not instance arguments since then they won't be found</span>
<a name="line-60"></a> <span class='hs-comment'>-- by the instance search</span>
<a name="line-61"></a> <span class='hs-varid'>a</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>reduce</span> <span class='hs-layout'>(</span><span class='hs-varid'>unDom</span> <span class='hs-varid'>arg</span><span class='hs-layout'>)</span>
<a name="line-62"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unEl</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>of</span>
<a name="line-63"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>d</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span>
<a name="line-64"></a> <span class='hs-comment'>-- Andreas, 2012-06-10: only expand guarded records,</span>
<a name="line-65"></a> <span class='hs-comment'>-- otherwise we might run into an infinite loop</span>
<a name="line-66"></a> <span class='hs-varid'>ifM</span> <span class='hs-layout'>(</span><span class='hs-varid'>isEtaRecord</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-keyword'>do</span>
<a name="line-67"></a> <span class='hs-varid'>c</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getRecordConstructor</span> <span class='hs-varid'>d</span>
<a name="line-68"></a> <span class='hs-varid'>fs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getRecordFieldNames</span> <span class='hs-varid'>d</span>
<a name="line-69"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>qs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>implicitP</span> <span class='hs-varop'><$</span><span class='hs-layout'>)</span> <span class='hs-varid'>fs</span>
<a name="line-70"></a> <span class='hs-varid'>continue</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>ConP</span> <span class='hs-layout'>(</span><span class='hs-conid'>PatRange</span> <span class='hs-varid'>noRange</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>AmbQ</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varid'>qs</span> <span class='hs-varop'><$</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-71"></a> <span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>continue</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-72"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>continue</span> <span class='hs-varid'>p</span>
<a name="line-73"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>continue</span> <span class='hs-varid'>p</span>
<a name="line-74"></a> <span class='hs-keyword'>where</span>
<a name="line-75"></a> <span class='hs-varid'>continue</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-conop'>:</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>insertImplicitPatterns</span> <span class='hs-varid'>exh</span> <span class='hs-varid'>ps</span> <span class='hs-layout'>(</span><span class='hs-varid'>absBody</span> <span class='hs-varid'>tel'</span><span class='hs-layout'>)</span>
<a name="line-76"></a> <span class='hs-keyword'>where</span>
<a name="line-77"></a> <span class='hs-varid'>dummy</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>defaultNamedArg</span> <span class='hs-conid'>()</span>
<a name="line-78"></a>
<a name="line-79"></a> <span class='hs-varid'>insImp</span> <span class='hs-varid'>x</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>insertImplicit</span> <span class='hs-varid'>x</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>argFromDom</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>fst</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>telToList</span> <span class='hs-varid'>tel</span> <span class='hs-keyword'>of</span>
<a name="line-80"></a> <span class='hs-conid'>BadImplicits</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>WrongHidingInLHS</span> <span class='hs-layout'>(</span><span class='hs-varid'>telePi</span> <span class='hs-varid'>tel</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sort</span> <span class='hs-conid'>Prop</span><span class='hs-layout'>)</span>
<a name="line-81"></a> <span class='hs-conid'>NoSuchName</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>WrongHidingInLHS</span> <span class='hs-layout'>(</span><span class='hs-varid'>telePi</span> <span class='hs-varid'>tel</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sort</span> <span class='hs-conid'>Prop</span><span class='hs-layout'>)</span>
<a name="line-82"></a> <span class='hs-conid'>ImpInsert</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>n</span>
<a name="line-83"></a> <span class='hs-conid'>NoInsertNeeded</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Nothing</span>
<a name="line-84"></a>
<a name="line-85"></a> <span class='hs-varid'>implicitP</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unnamed</span> <span class='hs-varop'>$</span> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>ImplicitP</span> <span class='hs-varop'>$</span> <span class='hs-conid'>PatRange</span> <span class='hs-varop'>$</span> <span class='hs-varid'>noRange</span>
<a name="line-86"></a>
<a name="line-87"></a> <span class='hs-varid'>implicitPs</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-88"></a> <span class='hs-varid'>implicitPs</span> <span class='hs-layout'>(</span><span class='hs-varid'>h</span> <span class='hs-conop'>:</span> <span class='hs-varid'>hs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arg</span> <span class='hs-varid'>h</span> <span class='hs-conid'>Relevant</span> <span class='hs-varid'>implicitP</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>implicitPs</span> <span class='hs-varid'>hs</span>
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