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<title>src/full/Agda/TypeChecking/SizedTypes.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><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'>SizedTypes</span> <span class='hs-keyword'>where</span>
<a name="line-3"></a>
<a name="line-4"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Error</span>
<a name="line-5"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-6"></a>
<a name="line-7"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Function</span>
<a name="line-8"></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-9"></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'>Map</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Map</span>
<a name="line-10"></a>
<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'>Interaction</span><span class='hs-varop'>.</span><span class='hs-conid'>Options</span>
<a name="line-12"></a>
<a name="line-13"></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-14"></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-15"></a>
<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'>Monad</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'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Builtin</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'>Pretty</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><span class='hs-keyword'>import</span> <span class='hs-comment'>{-# SOURCE #-}</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'>MetaVars</span>
<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'>Substitute</span>
<a name="line-22"></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'>Telescope</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-comment'>{-# SOURCE #-}</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'>Conversion</span>
<a name="line-24"></a><span class='hs-keyword'>import</span> <span class='hs-comment'>{-# SOURCE #-}</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'>Constraints</span>
<a name="line-25"></a>
<a name="line-26"></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'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Warshall</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>W</span>
<a name="line-27"></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'>List</span>
<a name="line-28"></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'>Maybe</span>
<a name="line-29"></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-30"></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-31"></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'>Size</span>
<a name="line-32"></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'>Tuple</span>
<a name="line-33"></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'>Pretty</span> <span class='hs-layout'>(</span><span class='hs-varid'>render</span><span class='hs-layout'>)</span>
<a name="line-34"></a>
<a name="line-35"></a><span class='hs-cpp'>#include "../undefined.h"</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="builtinSizeHook"></a><span class='hs-definition'>builtinSizeHook</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>QName</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-38"></a><span class='hs-definition'>builtinSizeHook</span> <span class='hs-varid'>s</span> <span class='hs-varid'>q</span> <span class='hs-varid'>e'</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-39"></a> <span class='hs-varid'>when</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-varop'>`elem`</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>builtinSizeLt</span><span class='hs-layout'>,</span> <span class='hs-varid'>builtinSizeSuc</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-40"></a> <span class='hs-varid'>modifySignature</span> <span class='hs-varop'>$</span> <span class='hs-varid'>updateDefinition</span> <span class='hs-varid'>q</span>
<a name="line-41"></a> <span class='hs-varop'>$</span> <span class='hs-varid'>updateDefPolarity</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Covariant</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-42"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>updateDefArgOccurrences</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>StrictPos</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-43"></a> <span class='hs-varid'>when</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-varop'>==</span> <span class='hs-varid'>builtinSizeMax</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-44"></a> <span class='hs-varid'>modifySignature</span> <span class='hs-varop'>$</span> <span class='hs-varid'>updateDefinition</span> <span class='hs-varid'>q</span>
<a name="line-45"></a> <span class='hs-varop'>$</span> <span class='hs-varid'>updateDefPolarity</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Covariant</span><span class='hs-layout'>,</span> <span class='hs-conid'>Covariant</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-46"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>updateDefArgOccurrences</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>StrictPos</span><span class='hs-layout'>,</span> <span class='hs-conid'>StrictPos</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-47"></a><span class='hs-comment'>{-
<a name="line-48"></a> . updateDefType (const tmax)
<a name="line-49"></a> where
<a name="line-50"></a> -- TODO: max : (i j : Size) -> Size< (suc (max i j))
<a name="line-51"></a> tmax =
<a name="line-52"></a>-}</span>
<a name="line-53"></a>
<a name="line-54"></a><a name="deepSizeView"></a><span class='hs-comment'>-- | Compute the deep size view of a term.</span>
<a name="line-55"></a><span class='hs-comment'>-- Precondition: sized types are enabled.</span>
<a name="line-56"></a><span class='hs-definition'>deepSizeView</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>DeepSizeView</span>
<a name="line-57"></a><span class='hs-definition'>deepSizeView</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-58"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>inf</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSizeInf</span>
<a name="line-59"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>suc</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSizeSuc</span>
<a name="line-60"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>loop</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-61"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>reduce</span> <span class='hs-varid'>v</span>
<a name="line-62"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>of</span>
<a name="line-63"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>inf</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>DSizeInf</span>
<a name="line-64"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>u</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>suc</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>sizeViewSuc_</span> <span class='hs-varid'>suc</span> <span class='hs-varop'><$></span> <span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span>
<a name="line-65"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>DSizeVar</span> <span class='hs-varid'>i</span> <span class='hs-num'>0</span>
<a name="line-66"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varid'>us</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>DSizeMeta</span> <span class='hs-varid'>x</span> <span class='hs-varid'>us</span> <span class='hs-num'>0</span>
<a name="line-67"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>DOtherSize</span> <span class='hs-varid'>v</span>
<a name="line-68"></a> <span class='hs-varid'>loop</span> <span class='hs-varid'>v</span>
<a name="line-69"></a>
<a name="line-70"></a><a name="sizeMaxView"></a><span class='hs-definition'>sizeMaxView</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>SizeMaxView</span>
<a name="line-71"></a><span class='hs-definition'>sizeMaxView</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-72"></a> <span class='hs-varid'>inf</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getBuiltinDefName</span> <span class='hs-varid'>builtinSizeInf</span>
<a name="line-73"></a> <span class='hs-varid'>suc</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getBuiltinDefName</span> <span class='hs-varid'>builtinSizeSuc</span>
<a name="line-74"></a> <span class='hs-varid'>max</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getBuiltinDefName</span> <span class='hs-varid'>builtinSizeMax</span>
<a name="line-75"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>loop</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-76"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>reduce</span> <span class='hs-varid'>v</span>
<a name="line-77"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>of</span>
<a name="line-78"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>inf</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>DSizeInf</span><span class='hs-keyglyph'>]</span>
<a name="line-79"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>u</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>suc</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>maxViewSuc_</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromJust</span> <span class='hs-varid'>suc</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span>
<a name="line-80"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>u1</span><span class='hs-layout'>,</span><span class='hs-varid'>u2</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>max</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>maxViewMax</span> <span class='hs-varop'><$></span> <span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>u1</span><span class='hs-layout'>)</span> <span class='hs-varop'><*></span> <span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>u2</span><span class='hs-layout'>)</span>
<a name="line-81"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>DSizeVar</span> <span class='hs-varid'>i</span> <span class='hs-num'>0</span><span class='hs-keyglyph'>]</span>
<a name="line-82"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varid'>us</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>DSizeMeta</span> <span class='hs-varid'>x</span> <span class='hs-varid'>us</span> <span class='hs-num'>0</span><span class='hs-keyglyph'>]</span>
<a name="line-83"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>DOtherSize</span> <span class='hs-varid'>v</span><span class='hs-keyglyph'>]</span>
<a name="line-84"></a> <span class='hs-varid'>loop</span> <span class='hs-varid'>v</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="trySizeUniv"></a><span class='hs-comment'>-- | Account for subtyping @Size< i =< Size@</span>
<a name="line-87"></a><span class='hs-comment'>-- Preconditions:</span>
<a name="line-88"></a><span class='hs-comment'>-- @m = x els1@, @n = y els2@, @m@ and @n@ are not equal.</span>
<a name="line-89"></a><span class='hs-definition'>trySizeUniv</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Comparison</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span>
<a name="line-90"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>QName</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Elim</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>QName</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Elim</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-91"></a><span class='hs-definition'>trySizeUniv</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>t</span> <span class='hs-varid'>m</span> <span class='hs-varid'>n</span> <span class='hs-varid'>x</span> <span class='hs-varid'>els1</span> <span class='hs-varid'>y</span> <span class='hs-varid'>els2</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-92"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>failure</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>UnequalTerms</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>m</span> <span class='hs-varid'>n</span> <span class='hs-varid'>t</span>
<a name="line-93"></a> <span class='hs-varid'>forceInfty</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compareSizes</span> <span class='hs-conid'>CmpEq</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span> <span class='hs-varop'>=<<</span> <span class='hs-varid'>primSizeInf</span>
<a name="line-94"></a> <span class='hs-layout'>(</span><span class='hs-varid'>size</span><span class='hs-layout'>,</span> <span class='hs-varid'>sizelt</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>catchError</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>failure</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-95"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>size</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSize</span>
<a name="line-96"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>sizelt</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSizeLt</span>
<a name="line-97"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>size</span><span class='hs-layout'>,</span> <span class='hs-varid'>sizelt</span><span class='hs-layout'>)</span>
<a name="line-98"></a> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>cmp</span><span class='hs-layout'>,</span> <span class='hs-varid'>els1</span><span class='hs-layout'>,</span> <span class='hs-varid'>els2</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-99"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-keyword'>_</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>sizelt</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>y</span> <span class='hs-varop'>==</span> <span class='hs-varid'>size</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-100"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Apply</span> <span class='hs-varid'>u</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>sizelt</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>y</span> <span class='hs-varop'>==</span> <span class='hs-varid'>size</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>forceInfty</span> <span class='hs-varid'>u</span>
<a name="line-101"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Apply</span> <span class='hs-varid'>u</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>size</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>y</span> <span class='hs-varop'>==</span> <span class='hs-varid'>sizelt</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>forceInfty</span> <span class='hs-varid'>u</span>
<a name="line-102"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>failure</span>
<a name="line-103"></a>
<a name="line-104"></a><a name="compareSizes"></a><span class='hs-comment'>-- | Compare two sizes. Only with --sized-types.</span>
<a name="line-105"></a><span class='hs-definition'>compareSizes</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Comparison</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-106"></a><span class='hs-definition'>compareSizes</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-107"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.conv.size"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vcat</span>
<a name="line-108"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-str'>"Comparing sizes"</span>
<a name="line-109"></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'>sep</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>u</span> <span class='hs-varop'><+></span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>cmp</span>
<a name="line-110"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>v</span>
<a name="line-111"></a> <span class='hs-keyglyph'>]</span>
<a name="line-112"></a> <span class='hs-keyglyph'>]</span>
<a name="line-113"></a><span class='hs-comment'>{-
<a name="line-114"></a> u <- reduce u
<a name="line-115"></a> v <- reduce v
<a name="line-116"></a> reportSDoc "tc.conv.size" 15 $
<a name="line-117"></a> nest 2 $ sep [ text (show u) <+> prettyTCM cmp
<a name="line-118"></a> , text (show v)
<a name="line-119"></a> ]
<a name="line-120"></a>-}</span>
<a name="line-121"></a> <span class='hs-varid'>us</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeMaxView</span> <span class='hs-varid'>u</span>
<a name="line-122"></a> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeMaxView</span> <span class='hs-varid'>v</span>
<a name="line-123"></a> <span class='hs-varid'>compareMaxViews</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>us</span> <span class='hs-varid'>vs</span>
<a name="line-124"></a>
<a name="line-125"></a><a name="compareMaxViews"></a><span class='hs-definition'>compareMaxViews</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Comparison</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>SizeMaxView</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>SizeMaxView</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-126"></a><span class='hs-definition'>compareMaxViews</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>us</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>cmp</span><span class='hs-layout'>,</span> <span class='hs-varid'>us</span><span class='hs-layout'>,</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-127"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-conid'>DSizeInf</span> <span class='hs-conop'>:</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-128"></a> <span class='hs-layout'>(</span><span class='hs-varid'>cmp</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>u</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>v</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>compareSizeViews</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span>
<a name="line-129"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-varid'>us</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>v</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>forM_</span> <span class='hs-varid'>us</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>compareSizeViews</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span>
<a name="line-130"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-varid'>us</span><span class='hs-layout'>,</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>forM_</span> <span class='hs-varid'>us</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>compareBelowMax</span> <span class='hs-varid'>u</span> <span class='hs-varid'>vs</span>
<a name="line-131"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpEq</span><span class='hs-layout'>,</span> <span class='hs-varid'>us</span><span class='hs-layout'>,</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>compareMaxViews</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>us</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>>></span> <span class='hs-varid'>compareMaxViews</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>vs</span> <span class='hs-varid'>us</span>
<a name="line-132"></a><span class='hs-comment'>-- _ -> typeError $ NotImplemented "compareMaxViews"</span>
<a name="line-133"></a>
<a name="line-134"></a><a name="compareBelowMax"></a><span class='hs-comment'>-- | @compareBelowMax u vs@ checks @u <= max vs@. Precondition: @size vs >= 2@</span>
<a name="line-135"></a><span class='hs-definition'>compareBelowMax</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>DeepSizeView</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>SizeMaxView</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-136"></a><span class='hs-definition'>compareBelowMax</span> <span class='hs-varid'>u</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>=</span>
<a name="line-137"></a> <span class='hs-varid'>alt</span> <span class='hs-layout'>(</span><span class='hs-varid'>dontAssignMetas</span> <span class='hs-varop'>$</span> <span class='hs-varid'>alts</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>compareSizeViews</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-138"></a> <span class='hs-varid'>u</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>unDeepSizeView</span> <span class='hs-varid'>u</span>
<a name="line-139"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>unMaxView</span> <span class='hs-varid'>vs</span>
<a name="line-140"></a> <span class='hs-varid'>size</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeType</span>
<a name="line-141"></a> <span class='hs-varid'>addConstraint</span> <span class='hs-varop'>$</span> <span class='hs-conid'>ValueCmp</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>size</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span>
<a name="line-142"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>alt</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>`catchError`</span> <span class='hs-varid'>const</span> <span class='hs-varid'>c2</span>
<a name="line-143"></a> <span class='hs-varid'>alts</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-144"></a> <span class='hs-varid'>alts</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>c</span>
<a name="line-145"></a> <span class='hs-varid'>alts</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-conop'>:</span><span class='hs-varid'>cs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>c</span> <span class='hs-varop'>`alt`</span> <span class='hs-varid'>alts</span> <span class='hs-varid'>cs</span>
<a name="line-146"></a>
<a name="line-147"></a><a name="compareSizeViews"></a><span class='hs-definition'>compareSizeViews</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Comparison</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DeepSizeView</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DeepSizeView</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-148"></a><span class='hs-definition'>compareSizeViews</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>s1'</span> <span class='hs-varid'>s2'</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-149"></a> <span class='hs-varid'>size</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeType</span>
<a name="line-150"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>removeSucs</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1'</span><span class='hs-layout'>,</span> <span class='hs-varid'>s2'</span><span class='hs-layout'>)</span>
<a name="line-151"></a> <span class='hs-varid'>withUnView</span> <span class='hs-varid'>cont</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-152"></a> <span class='hs-varid'>u</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>unDeepSizeView</span> <span class='hs-varid'>s1</span>
<a name="line-153"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>unDeepSizeView</span> <span class='hs-varid'>s2</span>
<a name="line-154"></a> <span class='hs-varid'>cont</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span>
<a name="line-155"></a> <span class='hs-varid'>failure</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>withUnView</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>UnequalTerms</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-varid'>size</span>
<a name="line-156"></a> <span class='hs-varid'>continue</span> <span class='hs-varid'>cmp</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>withUnView</span> <span class='hs-varop'>$</span> <span class='hs-varid'>compareAtom</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>size</span>
<a name="line-157"></a> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>cmp</span><span class='hs-layout'>,</span> <span class='hs-varid'>s1</span><span class='hs-layout'>,</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-158"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeInf</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-159"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpEq</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeInf</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeInf</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-160"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpEq</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeVar</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeInf</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>failure</span>
<a name="line-161"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span> <span class='hs-layout'>,</span> <span class='hs-conid'>DSizeInf</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeVar</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>failure</span>
<a name="line-162"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span> <span class='hs-layout'>,</span> <span class='hs-conid'>DSizeInf</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>continue</span> <span class='hs-conid'>CmpEq</span>
<a name="line-163"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeVar</span> <span class='hs-varid'>i</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeVar</span> <span class='hs-varid'>j</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-varop'>==</span> <span class='hs-varid'>j</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>unless</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'><=</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>failure</span>
<a name="line-164"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeVar</span> <span class='hs-varid'>i</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-conid'>DSizeVar</span> <span class='hs-varid'>j</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-varop'>/=</span> <span class='hs-varid'>j</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-165"></a> <span class='hs-varid'>res</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>isBounded</span> <span class='hs-varid'>i</span>
<a name="line-166"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>res</span> <span class='hs-keyword'>of</span>
<a name="line-167"></a> <span class='hs-conid'>BoundedNo</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>failure</span>
<a name="line-168"></a> <span class='hs-conid'>BoundedLt</span> <span class='hs-varid'>u'</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-169"></a> <span class='hs-comment'>-- now we have i < u', in the worst case i+1 = u'</span>
<a name="line-170"></a> <span class='hs-comment'>-- and we want to check i+n <= v</span>
<a name="line-171"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>unDeepSizeView</span> <span class='hs-varid'>s2</span>
<a name="line-172"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>n</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span> <span class='hs-keyword'>then</span> <span class='hs-keyword'>do</span>
<a name="line-173"></a> <span class='hs-varid'>u''</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeSuc</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>u'</span>
<a name="line-174"></a> <span class='hs-varid'>compareSizes</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>u''</span> <span class='hs-varid'>v</span>
<a name="line-175"></a> <span class='hs-keyword'>else</span> <span class='hs-varid'>compareSizes</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>u'</span> <span class='hs-varop'>=<<</span> <span class='hs-varid'>sizeSuc</span> <span class='hs-num'>1</span> <span class='hs-varid'>v</span>
<a name="line-176"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpLeq</span><span class='hs-layout'>,</span> <span class='hs-varid'>s1</span><span class='hs-layout'>,</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>withUnView</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-177"></a> <span class='hs-varid'>unlessM</span> <span class='hs-layout'>(</span><span class='hs-varid'>trivial</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>addConstraint</span> <span class='hs-varop'>$</span> <span class='hs-conid'>ValueCmp</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>size</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span>
<a name="line-178"></a> <span class='hs-layout'>(</span><span class='hs-conid'>CmpEq</span><span class='hs-layout'>,</span> <span class='hs-varid'>s1</span><span class='hs-layout'>,</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>continue</span> <span class='hs-varid'>cmp</span>
<a name="line-179"></a>
<a name="line-180"></a><span class='hs-comment'>{-
<a name="line-181"></a>-- | Compare two sizes. Only with --sized-types.
<a name="line-182"></a>compareSizes :: Comparison -> Term -> Term -> TCM ()
<a name="line-183"></a>compareSizes cmp u v = do
<a name="line-184"></a> reportSDoc "tc.conv.size" 10 $ vcat
<a name="line-185"></a> [ text "Comparing sizes"
<a name="line-186"></a> , nest 2 $ sep [ prettyTCM u <+> prettyTCM cmp
<a name="line-187"></a> , prettyTCM v
<a name="line-188"></a> ]
<a name="line-189"></a> ]
<a name="line-190"></a> u <- reduce u
<a name="line-191"></a> v <- reduce v
<a name="line-192"></a> reportSDoc "tc.conv.size" 15 $
<a name="line-193"></a> nest 2 $ sep [ text (show u) <+> prettyTCM cmp
<a name="line-194"></a> , text (show v)
<a name="line-195"></a> ]
<a name="line-196"></a> s1' <- deepSizeView u
<a name="line-197"></a> s2' <- deepSizeView v
<a name="line-198"></a> size <- sizeType
<a name="line-199"></a> let failure = typeError $ UnequalTerms cmp u v size
<a name="line-200"></a> (s1, s2) = removeSucs (s1', s2')
<a name="line-201"></a> continue cmp = do
<a name="line-202"></a> u <- unDeepSizeView s1
<a name="line-203"></a> v <- unDeepSizeView s2
<a name="line-204"></a> compareAtom cmp size u v
<a name="line-205"></a> case (cmp, s1, s2) of
<a name="line-206"></a> (CmpLeq, _, DSizeInf) -> return ()
<a name="line-207"></a> (CmpEq, DSizeInf, DSizeInf) -> return ()
<a name="line-208"></a> (CmpEq, DSizeVar{}, DSizeInf) -> failure
<a name="line-209"></a> (_ , DSizeInf, DSizeVar{}) -> failure
<a name="line-210"></a> (_ , DSizeInf, _ ) -> continue CmpEq
<a name="line-211"></a> (CmpLeq, DSizeVar i n, DSizeVar j m) | i == j -> unless (n <= m) failure
<a name="line-212"></a> (CmpLeq, DSizeVar i n, DSizeVar j m) | i /= j -> do
<a name="line-213"></a> res <- isBounded i
<a name="line-214"></a> case res of
<a name="line-215"></a> BoundedNo -> failure
<a name="line-216"></a> BoundedLt u' ->
<a name="line-217"></a> -- now we have i < u', in the worst case i+1 = u'
<a name="line-218"></a> -- and we want to check i+n <= v
<a name="line-219"></a> if n > 0 then do
<a name="line-220"></a> u'' <- sizeSuc (n - 1) u'
<a name="line-221"></a> compareSizes cmp u'' v
<a name="line-222"></a> else compareSizes cmp u' =<< sizeSuc 1 v
<a name="line-223"></a> (CmpLeq, s1, s2) -> do
<a name="line-224"></a> u <- unDeepSizeView s1
<a name="line-225"></a> v <- unDeepSizeView s2
<a name="line-226"></a> unlessM (trivial u v) $ addConstraint $ ValueCmp CmpLeq size u v
<a name="line-227"></a> (CmpEq, s1, s2) -> continue cmp
<a name="line-228"></a>-}</span>
<a name="line-229"></a><span class='hs-comment'>{-
<a name="line-230"></a> s1 <- sizeView u
<a name="line-231"></a> s2 <- sizeView v
<a name="line-232"></a> size <- sizeType
<a name="line-233"></a> case (cmp, s1, s2) of
<a name="line-234"></a> (CmpLeq, _, SizeInf) -> return ()
<a name="line-235"></a> (CmpLeq, SizeInf, _) -> compareSizes CmpEq u v
<a name="line-236"></a> (CmpEq, SizeSuc u, SizeInf) -> compareSizes CmpEq u v
<a name="line-237"></a> (_, SizeInf, SizeSuc v) -> compareSizes CmpEq u v
<a name="line-238"></a> (_, SizeSuc u, SizeSuc v) -> compareSizes cmp u v
<a name="line-239"></a> (CmpLeq, _, _) ->
<a name="line-240"></a> unlessM (trivial u v) $ addConstraint $ ValueCmp CmpLeq size u v
<a name="line-241"></a> _ -> compareAtom cmp size u v
<a name="line-242"></a>-}</span>
<a name="line-243"></a>
<a name="line-244"></a><a name="isBounded"></a><span class='hs-definition'>isBounded</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Nat</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>BoundedSize</span>
<a name="line-245"></a><span class='hs-definition'>isBounded</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-246"></a> <span class='hs-varid'>t</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>reduce</span> <span class='hs-varop'>=<<</span> <span class='hs-varid'>typeOfBV</span> <span class='hs-varid'>i</span>
<a name="line-247"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unEl</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>of</span>
<a name="line-248"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>u</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-249"></a> <span class='hs-varid'>sizelt</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getBuiltin'</span> <span class='hs-varid'>builtinSizeLt</span>
<a name="line-250"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>if</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>sizelt</span><span class='hs-layout'>)</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>BoundedLt</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unArg</span> <span class='hs-varid'>u</span> <span class='hs-keyword'>else</span> <span class='hs-conid'>BoundedNo</span>
<a name="line-251"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>BoundedNo</span>
<a name="line-252"></a>
<a name="line-253"></a><a name="trivial"></a><span class='hs-definition'>trivial</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>Bool</span>
<a name="line-254"></a><span class='hs-definition'>trivial</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-255"></a> <span class='hs-varid'>a</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeExpr</span> <span class='hs-varid'>u</span>
<a name="line-256"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeExpr</span> <span class='hs-varid'>v</span>
<a name="line-257"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>triv</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</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-keyword'>of</span>
<a name="line-258"></a> <span class='hs-comment'>-- Andreas, 2012-02-24 filtering out more trivial constraints fixes</span>
<a name="line-259"></a> <span class='hs-comment'>-- test/lib-succeed/SizeInconsistentMeta4.agda</span>
<a name="line-260"></a> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>e'</span><span class='hs-layout'>,</span> <span class='hs-varid'>n'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span> <span class='hs-varop'>==</span> <span class='hs-varid'>e'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>n</span> <span class='hs-varop'><=</span> <span class='hs-varid'>n'</span>
<a name="line-261"></a> <span class='hs-comment'>{-
<a name="line-262"></a> ((Rigid i, n), (Rigid j, m)) -> i == j && n <= m
<a name="line-263"></a> _ -> False
<a name="line-264"></a> -}</span>
<a name="line-265"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.conv.size"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span>
<a name="line-266"></a> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sep</span> <span class='hs-keyglyph'>[</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>triv</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>text</span> <span class='hs-str'>"trivial constraint"</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>empty</span>
<a name="line-267"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>text</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'><+></span> <span class='hs-varid'>text</span> <span class='hs-str'>"<="</span>
<a name="line-268"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>text</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-269"></a> <span class='hs-keyglyph'>]</span>
<a name="line-270"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>triv</span>
<a name="line-271"></a> <span class='hs-varop'>`catchError`</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>False</span>
<a name="line-272"></a>
<a name="line-273"></a><a name="boundedSizeMetaHook"></a><span class='hs-comment'>-- | Whenever we create a bounded size meta, add a constraint</span>
<a name="line-274"></a><span class='hs-comment'>-- expressing the bound.</span>
<a name="line-275"></a><span class='hs-comment'>-- In @boundedSizeMetaHook v tel a@, @tel@ includes the current context.</span>
<a name="line-276"></a><span class='hs-definition'>boundedSizeMetaHook</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-277"></a><span class='hs-definition'>boundedSizeMetaHook</span> <span class='hs-varid'>v</span> <span class='hs-varid'>tel0</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-278"></a> <span class='hs-varid'>res</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>isSizeType</span> <span class='hs-varid'>a</span>
<a name="line-279"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>res</span> <span class='hs-keyword'>of</span>
<a name="line-280"></a> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoundedLt</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-281"></a> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getContextSize</span>
<a name="line-282"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>telFromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>genericDrop</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>telToList</span> <span class='hs-varid'>tel0</span>
<a name="line-283"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tel0</span>
<a name="line-284"></a> <span class='hs-varid'>addCtxTel</span> <span class='hs-varid'>tel</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-285"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeSuc</span> <span class='hs-num'>1</span> <span class='hs-varop'>$</span> <span class='hs-varid'>raise</span> <span class='hs-layout'>(</span><span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>v</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>teleArgs</span> <span class='hs-varid'>tel</span>
<a name="line-286"></a> <span class='hs-comment'>-- compareSizes CmpLeq v u</span>
<a name="line-287"></a> <span class='hs-varid'>size</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeType</span>
<a name="line-288"></a> <span class='hs-varid'>addConstraint</span> <span class='hs-varop'>$</span> <span class='hs-conid'>ValueCmp</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>size</span> <span class='hs-varid'>v</span> <span class='hs-varid'>u</span>
<a name="line-289"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-290"></a>
<a name="line-291"></a><a name="isSizeProblem"></a><span class='hs-comment'>-- | Test whether a problem consists only of size constraints.</span>
<a name="line-292"></a><span class='hs-definition'>isSizeProblem</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>ProblemId</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>Bool</span>
<a name="line-293"></a><span class='hs-definition'>isSizeProblem</span> <span class='hs-varid'>pid</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>andM</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>isSizeConstraint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>theConstraint</span><span class='hs-layout'>)</span> <span class='hs-varop'>=<<</span> <span class='hs-varid'>getConstraintsForProblem</span> <span class='hs-varid'>pid</span>
<a name="line-294"></a>
<a name="line-295"></a><a name="isSizeConstraint"></a><span class='hs-comment'>-- | Test is a constraint speaks about sizes.</span>
<a name="line-296"></a><span class='hs-definition'>isSizeConstraint</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Closure</span> <span class='hs-conid'>Constraint</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>Bool</span>
<a name="line-297"></a><span class='hs-definition'>isSizeConstraint</span> <span class='hs-layout'>(</span><span class='hs-conid'>Closure</span><span class='hs-layout'>{</span> <span class='hs-varid'>clValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ValueCmp</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>}</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>isJust</span> <span class='hs-varop'><$></span> <span class='hs-varid'>isSizeType</span> <span class='hs-varid'>s</span>
<a name="line-298"></a><span class='hs-definition'>isSizeConstraint</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>False</span>
<a name="line-299"></a>
<a name="line-300"></a><a name="getSizeConstraints"></a><span class='hs-comment'>-- | Find the size constraints.</span>
<a name="line-301"></a><span class='hs-definition'>getSizeConstraints</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Closure</span> <span class='hs-conid'>Constraint</span><span class='hs-keyglyph'>]</span>
<a name="line-302"></a><span class='hs-definition'>getSizeConstraints</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-303"></a> <span class='hs-varid'>cs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getAllConstraints</span>
<a name="line-304"></a> <span class='hs-varid'>test</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>isSizeTypeTest</span>
<a name="line-305"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>sizeConstraint</span> <span class='hs-varid'>cl</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>Closure</span><span class='hs-layout'>{</span> <span class='hs-varid'>clValue</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ValueCmp</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>}</span>
<a name="line-306"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>isJust</span> <span class='hs-layout'>(</span><span class='hs-varid'>test</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>cl</span>
<a name="line-307"></a> <span class='hs-varid'>sizeConstraint</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-308"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mapMaybe</span> <span class='hs-layout'>(</span><span class='hs-varid'>sizeConstraint</span> <span class='hs-varop'>.</span> <span class='hs-varid'>theConstraint</span><span class='hs-layout'>)</span> <span class='hs-varid'>cs</span>
<a name="line-309"></a>
<a name="line-310"></a><a name="getSizeMetas"></a><span class='hs-definition'>getSizeMetas</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>MetaId</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-311"></a><span class='hs-definition'>getSizeMetas</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-312"></a> <span class='hs-varid'>ms</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getOpenMetas</span>
<a name="line-313"></a> <span class='hs-varid'>test</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>isSizeTypeTest</span>
<a name="line-314"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>sizeCon</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-315"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>nothing</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>[]</span>
<a name="line-316"></a> <span class='hs-varid'>mi</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>lookupMeta</span> <span class='hs-varid'>m</span>
<a name="line-317"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>mvJudgement</span> <span class='hs-varid'>mi</span> <span class='hs-keyword'>of</span>
<a name="line-318"></a> <span class='hs-conid'>HasType</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-319"></a> <span class='hs-conid'>TelV</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>telView</span> <span class='hs-varop'>=<<</span> <span class='hs-varid'>instantiateFull</span> <span class='hs-varid'>a</span>
<a name="line-320"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>test</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-321"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>nothing</span>
<a name="line-322"></a> <span class='hs-conid'>Just</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-323"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>nothing</span>
<a name="line-324"></a> <span class='hs-varid'>concat</span> <span class='hs-varop'><$></span> <span class='hs-varid'>mapM</span> <span class='hs-varid'>sizeCon</span> <span class='hs-varid'>ms</span>
<a name="line-325"></a>
<a name="line-326"></a><span class='hs-comment'>{- ROLLED BACK
<a name="line-327"></a>getSizeMetas :: TCM ([(MetaId, Int)], [SizeConstraint])
<a name="line-328"></a>getSizeMetas = do
<a name="line-329"></a> ms <- getOpenMetas
<a name="line-330"></a> test <- isSizeTypeTest
<a name="line-331"></a> let sizeCon m = do
<a name="line-332"></a> let nothing = return ([], [])
<a name="line-333"></a> mi <- lookupMeta m
<a name="line-334"></a> case mvJudgement mi of
<a name="line-335"></a> HasType _ a -> do
<a name="line-336"></a> TelV tel b <- telView =<< instantiateFull a
<a name="line-337"></a> let noConstr = return ([(m, size tel)], [])
<a name="line-338"></a> case test b of
<a name="line-339"></a> Nothing -> nothing
<a name="line-340"></a> Just BoundedNo -> noConstr
<a name="line-341"></a> Just (BoundedLt u) -> noConstr
<a name="line-342"></a>{- WORKS NOT
<a name="line-343"></a> Just (BoundedLt u) -> flip catchError (const $ noConstr) $ do
<a name="line-344"></a> -- we assume the metavariable is used in an
<a name="line-345"></a> -- extension of its creation context
<a name="line-346"></a> ctxIds <- getContextId
<a name="line-347"></a> let a = SizeMeta m $ take (size tel) $ reverse ctxIds
<a name="line-348"></a> (b, n) <- sizeExpr u
<a name="line-349"></a> return ([(m, size tel)], [Leq a (n-1) b])
<a name="line-350"></a>-}
<a name="line-351"></a> _ -> nothing
<a name="line-352"></a> (mss, css) <- unzip <$> mapM sizeCon ms
<a name="line-353"></a> return (concat mss, concat css)
<a name="line-354"></a>-}</span>
<a name="line-355"></a>
<a name="line-356"></a><a name="SizeExpr"></a><span class='hs-comment'>-- | Atomic size expressions.</span>
<a name="line-357"></a><a name="SizeExpr"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>SizeExpr</span>
<a name="line-358"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SizeMeta</span> <span class='hs-conid'>MetaId</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-comment'>-- ^ A size meta applied to de Bruijn levels.</span>
<a name="line-359"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Rigid</span> <span class='hs-conid'>Int</span> <span class='hs-comment'>-- ^ A de Bruijn level.</span>
<a name="line-360"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>)</span>
<a name="line-361"></a>
<a name="line-362"></a><a name="instance%20Show%20SizeExpr"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-conid'>SizeExpr</span> <span class='hs-keyword'>where</span>
<a name="line-363"></a> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"X"</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span>
<a name="line-364"></a> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"c"</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>i</span>
<a name="line-365"></a>
<a name="line-366"></a><a name="SizeConstraint"></a><span class='hs-comment'>-- | Size constraints we can solve.</span>
<a name="line-367"></a><a name="SizeConstraint"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>SizeConstraint</span>
<a name="line-368"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Leq</span> <span class='hs-conid'>SizeExpr</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>SizeExpr</span> <span class='hs-comment'>-- ^ @Leq a +n b@ represents @a =< b + n@.</span>
<a name="line-369"></a> <span class='hs-comment'>-- @Leq a -n b@ represents @a + n =< b@.</span>
<a name="line-370"></a>
<a name="line-371"></a><a name="instance%20Show%20SizeConstraint"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-conid'>SizeConstraint</span> <span class='hs-keyword'>where</span>
<a name="line-372"></a> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-conid'>Leq</span> <span class='hs-varid'>a</span> <span class='hs-varid'>n</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-373"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>==</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span> <span class='hs-varid'>a</span> <span class='hs-varop'>++</span> <span class='hs-str'>" =< "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>b</span>
<a name="line-374"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span> <span class='hs-varid'>a</span> <span class='hs-varop'>++</span> <span class='hs-str'>" =< "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>b</span> <span class='hs-varop'>++</span> <span class='hs-str'>" + "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>n</span>
<a name="line-375"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span> <span class='hs-varid'>a</span> <span class='hs-varop'>++</span> <span class='hs-str'>" + "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>" =< "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>b</span>
<a name="line-376"></a>
<a name="line-377"></a><a name="computeSizeConstraints"></a><span class='hs-comment'>-- | Compute a set of size constraints that all live in the same context</span>
<a name="line-378"></a><span class='hs-comment'>-- from constraints over terms of type size that may live in different</span>
<a name="line-379"></a><span class='hs-comment'>-- contexts.</span>
<a name="line-380"></a><span class='hs-comment'>--</span>
<a name="line-381"></a><span class='hs-comment'>-- cf. 'Agda.TypeChecking.LevelConstraints.simplifyLevelConstraint'</span>
<a name="line-382"></a><span class='hs-definition'>computeSizeConstraints</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Closure</span> <span class='hs-conid'>Constraint</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>SizeConstraint</span><span class='hs-keyglyph'>]</span>
<a name="line-383"></a><span class='hs-definition'>computeSizeConstraints</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>[]</span> <span class='hs-comment'>-- special case to avoid maximum []</span>
<a name="line-384"></a><span class='hs-definition'>computeSizeConstraints</span> <span class='hs-varid'>cs</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-385"></a> <span class='hs-varid'>scs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mapM</span> <span class='hs-varid'>computeSizeConstraint</span> <span class='hs-varid'>leqs</span>
<a name="line-386"></a> <span class='hs-varid'>return</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>scs</span> <span class='hs-keyglyph'>]</span>
<a name="line-387"></a> <span class='hs-keyword'>where</span>
<a name="line-388"></a> <span class='hs-comment'>-- get the constraints plus contexts they are defined in</span>
<a name="line-389"></a> <span class='hs-varid'>unClosure</span> <span class='hs-varid'>cl</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>envContext</span> <span class='hs-varop'>$</span> <span class='hs-varid'>clEnv</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-varid'>clValue</span> <span class='hs-varid'>cl</span><span class='hs-layout'>)</span>
<a name="line-390"></a> <span class='hs-layout'>(</span><span class='hs-varid'>gammas</span><span class='hs-layout'>,</span> <span class='hs-varid'>ls</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>unClosure</span> <span class='hs-varid'>cs</span>
<a name="line-391"></a> <span class='hs-comment'>-- compute the longest context (common water level)</span>
<a name="line-392"></a> <span class='hs-varid'>gamma</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maximumBy</span> <span class='hs-layout'>(</span><span class='hs-varid'>compare</span> <span class='hs-varop'>`on`</span> <span class='hs-varid'>size</span><span class='hs-layout'>)</span> <span class='hs-varid'>gammas</span>
<a name="line-393"></a> <span class='hs-varid'>waterLevel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>size</span> <span class='hs-varid'>gamma</span>
<a name="line-394"></a> <span class='hs-comment'>-- convert deBruijn indices to deBruijn levels to</span>
<a name="line-395"></a> <span class='hs-comment'>-- enable comparing constraints under different contexts</span>
<a name="line-396"></a> <span class='hs-varid'>leqs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWith</span> <span class='hs-varid'>raise</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>waterLevel</span> <span class='hs-comment'>-</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>size</span><span class='hs-layout'>)</span> <span class='hs-varid'>gammas</span><span class='hs-layout'>)</span> <span class='hs-varid'>ls</span>
<a name="line-397"></a>
<a name="line-398"></a><a name="computeSizeConstraint"></a><span class='hs-comment'>-- | Turn a constraint over de Bruijn levels into a size constraint.</span>
<a name="line-399"></a><span class='hs-definition'>computeSizeConstraint</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Constraint</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-conid'>SizeConstraint</span><span class='hs-layout'>)</span>
<a name="line-400"></a><span class='hs-definition'>computeSizeConstraint</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>c</span> <span class='hs-keyword'>of</span>
<a name="line-401"></a> <span class='hs-conid'>ValueCmp</span> <span class='hs-conid'>CmpLeq</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-402"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>50</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sep</span>
<a name="line-403"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-str'>"converting size constraint"</span>
<a name="line-404"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>c</span>
<a name="line-405"></a> <span class='hs-keyglyph'>]</span>
<a name="line-406"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeExpr</span> <span class='hs-varid'>u</span>
<a name="line-407"></a> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeExpr</span> <span class='hs-varid'>v</span>
<a name="line-408"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Leq</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-comment'>-</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span>
<a name="line-409"></a> <span class='hs-varop'>`catchError`</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>err</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>err</span> <span class='hs-keyword'>of</span>
<a name="line-410"></a> <span class='hs-conid'>PatternErr</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Nothing</span>
<a name="line-411"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>throwError</span> <span class='hs-varid'>err</span>
<a name="line-412"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-413"></a>
<a name="line-414"></a><a name="sizeExpr"></a><span class='hs-comment'>-- | Turn a term with de Bruijn levels into a size expression with offset.</span>
<a name="line-415"></a><span class='hs-comment'>--</span>
<a name="line-416"></a><span class='hs-comment'>-- Throws a 'patternViolation' if the term isn't a proper size expression.</span>
<a name="line-417"></a><span class='hs-definition'>sizeExpr</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeExpr</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span>
<a name="line-418"></a><span class='hs-definition'>sizeExpr</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-419"></a> <span class='hs-varid'>u</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>reduce</span> <span class='hs-varid'>u</span> <span class='hs-comment'>-- Andreas, 2009-02-09.</span>
<a name="line-420"></a> <span class='hs-comment'>-- This is necessary to surface the solutions of metavariables.</span>
<a name="line-421"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.conv.size"</span> <span class='hs-num'>60</span> <span class='hs-varop'>$</span> <span class='hs-varid'>text</span> <span class='hs-str'>"sizeExpr:"</span> <span class='hs-varop'><+></span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>u</span>
<a name="line-422"></a> <span class='hs-varid'>s</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sizeView</span> <span class='hs-varid'>u</span>
<a name="line-423"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-424"></a> <span class='hs-conid'>SizeInf</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>patternViolation</span>
<a name="line-425"></a> <span class='hs-conid'>SizeSuc</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>mapSnd</span> <span class='hs-layout'>(</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>sizeExpr</span> <span class='hs-varid'>u</span>
<a name="line-426"></a> <span class='hs-conid'>OtherSize</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varid'>u</span> <span class='hs-keyword'>of</span>
<a name="line-427"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- i is already a de Bruijn level.</span>
<a name="line-428"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>m</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mapM</span> <span class='hs-varid'>isVar</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>fastDistinct</span> <span class='hs-varid'>xs</span>
<a name="line-429"></a> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs</span><span class='hs-layout'>,</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span>
<a name="line-430"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>patternViolation</span>
<a name="line-431"></a> <span class='hs-keyword'>where</span>
<a name="line-432"></a> <span class='hs-varid'>isVar</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unArg</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>of</span>
<a name="line-433"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Just</span> <span class='hs-varid'>i</span>
<a name="line-434"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Nothing</span>
<a name="line-435"></a>
<a name="line-436"></a><a name="flexibleVariables"></a><span class='hs-comment'>-- | Compute list of size metavariables with their arguments</span>
<a name="line-437"></a><span class='hs-comment'>-- appearing in a constraint.</span>
<a name="line-438"></a><span class='hs-definition'>flexibleVariables</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>SizeConstraint</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>MetaId</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-439"></a><span class='hs-definition'>flexibleVariables</span> <span class='hs-layout'>(</span><span class='hs-conid'>Leq</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flex</span> <span class='hs-varid'>a</span> <span class='hs-varop'>++</span> <span class='hs-varid'>flex</span> <span class='hs-varid'>b</span>
<a name="line-440"></a> <span class='hs-keyword'>where</span>
<a name="line-441"></a> <span class='hs-varid'>flex</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-442"></a> <span class='hs-varid'>flex</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-443"></a>
<a name="line-444"></a><a name="haveSizedTypes"></a><span class='hs-definition'>haveSizedTypes</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>Bool</span>
<a name="line-445"></a><span class='hs-definition'>haveSizedTypes</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-446"></a> <span class='hs-conid'>Def</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSize</span>
<a name="line-447"></a> <span class='hs-conid'>Def</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSizeInf</span>
<a name="line-448"></a> <span class='hs-conid'>Def</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'><$></span> <span class='hs-varid'>primSizeSuc</span>
<a name="line-449"></a> <span class='hs-varid'>optSizedTypes</span> <span class='hs-varop'><$></span> <span class='hs-varid'>pragmaOptions</span>
<a name="line-450"></a> <span class='hs-varop'>`catchError`</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>False</span>
<a name="line-451"></a>
<a name="line-452"></a><a name="canonicalizeSizeConstraint"></a><span class='hs-comment'>-- | Convert size constraint into form where each meta is applied</span>
<a name="line-453"></a><span class='hs-comment'>-- to levels @0,1,..,n-1@ where @n@ is the arity of that meta.</span>
<a name="line-454"></a><span class='hs-comment'>--</span>
<a name="line-455"></a><span class='hs-comment'>-- @X[σ] <= t@ beomes @X[id] <= t[σ^-1]@</span>
<a name="line-456"></a><span class='hs-comment'>--</span>
<a name="line-457"></a><span class='hs-comment'>-- @X[σ] ≤ Y[τ]@ becomes @X[id] ≤ Y[τ[σ^-1]]@ or @X[σ[τ^1]] ≤ Y[id]@</span>
<a name="line-458"></a><span class='hs-comment'>-- whichever is defined. If none is defined, we give up.</span>
<a name="line-459"></a><span class='hs-comment'>--</span>
<a name="line-460"></a><span class='hs-definition'>canonicalizeSizeConstraint</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>SizeConstraint</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Maybe</span> <span class='hs-conid'>SizeConstraint</span>
<a name="line-461"></a><span class='hs-definition'>canonicalizeSizeConstraint</span> <span class='hs-varid'>c</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Leq</span> <span class='hs-varid'>a</span> <span class='hs-varid'>n</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-462"></a> <span class='hs-keyword'>case</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-keyword'>of</span>
<a name="line-463"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span><span class='hs-layout'>,</span> <span class='hs-conid'>Rigid</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varid'>c</span>
<a name="line-464"></a> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs</span><span class='hs-layout'>,</span> <span class='hs-conid'>Rigid</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-465"></a> <span class='hs-varid'>j</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>findIndex</span> <span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-466"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Leq</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>size</span> <span class='hs-varid'>xs</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span>
<a name="line-467"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-468"></a> <span class='hs-varid'>j</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>findIndex</span> <span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-469"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Leq</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-varid'>j</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>size</span> <span class='hs-varid'>xs</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-470"></a> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs</span><span class='hs-layout'>,</span> <span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>l</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span>
<a name="line-471"></a> <span class='hs-comment'>-- try to invert xs on ys</span>
<a name="line-472"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>ys'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mapM</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>findIndex</span> <span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>ys</span> <span class='hs-keyglyph'>-></span>
<a name="line-473"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Leq</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>size</span> <span class='hs-varid'>xs</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>l</span> <span class='hs-varid'>ys'</span><span class='hs-layout'>)</span>
<a name="line-474"></a> <span class='hs-comment'>-- try to invert ys on xs</span>
<a name="line-475"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>xs'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mapM</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>findIndex</span> <span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span>
<a name="line-476"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Leq</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs'</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>size</span> <span class='hs-varid'>ys</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-477"></a> <span class='hs-comment'>-- give up</span>
<a name="line-478"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Nothing</span>
<a name="line-479"></a>
<a name="line-480"></a><a name="solveSizeConstraints"></a><span class='hs-definition'>solveSizeConstraints</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-conid'>()</span>
<a name="line-481"></a><span class='hs-definition'>solveSizeConstraints</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>whenM</span> <span class='hs-varid'>haveSizedTypes</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-482"></a> <span class='hs-varid'>reportSLn</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>70</span> <span class='hs-varop'>$</span> <span class='hs-str'>"Considering to solve size constraints"</span>
<a name="line-483"></a> <span class='hs-varid'>cs0</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getSizeConstraints</span>
<a name="line-484"></a> <span class='hs-varid'>cs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>computeSizeConstraints</span> <span class='hs-varid'>cs0</span>
<a name="line-485"></a> <span class='hs-varid'>ms</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getSizeMetas</span>
<a name="line-486"></a><span class='hs-comment'>{- ROLLED BACK
<a name="line-487"></a> cs0 <- getSizeConstraints
<a name="line-488"></a> cs1 <- computeSizeConstraints cs0
<a name="line-489"></a> (ms,cs2) <- getSizeMetas
<a name="line-490"></a> let cs = cs2 ++ cs1
<a name="line-491"></a>-}</span>
<a name="line-492"></a> <span class='hs-varid'>when</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>null</span> <span class='hs-varid'>cs</span><span class='hs-layout'>)</span> <span class='hs-varop'>||</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>null</span> <span class='hs-varid'>ms</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-493"></a> <span class='hs-varid'>reportSLn</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-str'>"Solving size constraints "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>cs</span>
<a name="line-494"></a>
<a name="line-495"></a> <span class='hs-varid'>cs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mapMaybe</span> <span class='hs-varid'>canonicalizeSizeConstraint</span> <span class='hs-varid'>cs</span>
<a name="line-496"></a> <span class='hs-varid'>reportSLn</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-str'>"Canonicalized constraints: "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>cs</span>
<a name="line-497"></a>
<a name="line-498"></a> <span class='hs-keyword'>let</span> <span class='hs-comment'>-- Error for giving up</span>
<a name="line-499"></a> <span class='hs-varid'>cannotSolve</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>.</span> <span class='hs-conid'>GenericDocError</span> <span class='hs-varop'>=<<</span>
<a name="line-500"></a> <span class='hs-varid'>vcat</span> <span class='hs-layout'>(</span><span class='hs-varid'>text</span> <span class='hs-str'>"Cannot solve size constraints"</span> <span class='hs-conop'>:</span> <span class='hs-varid'>map</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>cs0</span><span class='hs-layout'>)</span>
<a name="line-501"></a>
<a name="line-502"></a><span class='hs-comment'>{- OLD, before canonicalize
<a name="line-503"></a>
<a name="line-504"></a> -- Ensure that each occurrence of a meta is applied to the same
<a name="line-505"></a> -- arguments ("flexible variables").
<a name="line-506"></a> -- Andreas, 2012-10-16 this is now redundant
<a name="line-507"></a> mkMeta :: [(MetaId, [Int])] -> TCM (MetaId, [Int])
<a name="line-508"></a> mkMeta ms@((m, xs) : _)
<a name="line-509"></a> | allEqual (map snd ms) = return (m, xs)
<a name="line-510"></a> | otherwise = do
<a name="line-511"></a> reportSLn "tc.size.solve" 20 $
<a name="line-512"></a> "Size meta variable " ++ show m ++ " not always applied to same arguments: " ++ show (nub (map snd ms))
<a name="line-513"></a> cannotSolve
<a name="line-514"></a> mkMeta _ = __IMPOSSIBLE__
<a name="line-515"></a>
<a name="line-516"></a> metas0 <- mapM mkMeta $ groupOn fst $ concatMap flexibleVariables cs
<a name="line-517"></a>
<a name="line-518"></a>
<a name="line-519"></a> let mkFlex (m, xs) = W.NewFlex (fromIntegral m) $ \i -> fromIntegral i `elem` xs
<a name="line-520"></a>-}</span>
<a name="line-521"></a>
<a name="line-522"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>metas0</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>MetaId</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-comment'>-- meta id + arity</span>
<a name="line-523"></a> <span class='hs-varid'>metas0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>nub</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>mapSnd</span> <span class='hs-varid'>length</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>concatMap</span> <span class='hs-varid'>flexibleVariables</span> <span class='hs-varid'>cs</span>
<a name="line-524"></a>
<a name="line-525"></a> <span class='hs-varid'>mkFlex</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-varid'>ar</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>NewFlex</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>i</span> <span class='hs-varop'><</span> <span class='hs-varid'>ar</span>
<a name="line-526"></a>
<a name="line-527"></a> <span class='hs-varid'>mkConstr</span> <span class='hs-layout'>(</span><span class='hs-conid'>Leq</span> <span class='hs-varid'>a</span> <span class='hs-varid'>n</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>Arc</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkNode</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkNode</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-528"></a> <span class='hs-varid'>mkNode</span> <span class='hs-layout'>(</span><span class='hs-conid'>Rigid</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>Rigid</span> <span class='hs-varop'>$</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>RVar</span> <span class='hs-varid'>i</span>
<a name="line-529"></a> <span class='hs-varid'>mkNode</span> <span class='hs-layout'>(</span><span class='hs-conid'>SizeMeta</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>Flex</span> <span class='hs-varop'>$</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>m</span>
<a name="line-530"></a>
<a name="line-531"></a> <span class='hs-varid'>found</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>elem</span> <span class='hs-varid'>m</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>metas0</span>
<a name="line-532"></a>
<a name="line-533"></a> <span class='hs-comment'>-- Compute unconstrained metas</span>
<a name="line-534"></a> <span class='hs-varid'>metas1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varop'>.</span> <span class='hs-varid'>found</span><span class='hs-layout'>)</span> <span class='hs-varid'>ms</span>
<a name="line-535"></a>
<a name="line-536"></a><span class='hs-comment'>{- OLD, before canonicalize
<a name="line-537"></a> -- Compute unconstrained metas
<a name="line-538"></a> let metas1 = map mkMeta' $ filter (not . found) ms
<a name="line-539"></a> mkMeta' (m, n) = (m, [0..fromIntegral n - 1])
<a name="line-540"></a>-}</span>
<a name="line-541"></a>
<a name="line-542"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>metas</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>metas0</span> <span class='hs-varop'>++</span> <span class='hs-varid'>metas1</span>
<a name="line-543"></a>
<a name="line-544"></a> <span class='hs-varid'>reportSLn</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-str'>"Metas: "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>metas0</span> <span class='hs-varop'>++</span> <span class='hs-str'>", "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>metas1</span>
<a name="line-545"></a>
<a name="line-546"></a> <span class='hs-varid'>verboseS</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>20</span> <span class='hs-varop'>$</span>
<a name="line-547"></a> <span class='hs-comment'>-- debug print the type of all size metas</span>
<a name="line-548"></a> <span class='hs-varid'>forM_</span> <span class='hs-varid'>metas</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span>
<a name="line-549"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>""</span> <span class='hs-num'>0</span> <span class='hs-varop'>$</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varop'>=<<</span> <span class='hs-varid'>mvJudgement</span> <span class='hs-varop'><$></span> <span class='hs-varid'>lookupMeta</span> <span class='hs-varid'>m</span>
<a name="line-550"></a>
<a name="line-551"></a> <span class='hs-comment'>-- run the Warshall solver</span>
<a name="line-552"></a> <span class='hs-keyword'>case</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-varid'>solve</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>mkFlex</span> <span class='hs-varid'>metas</span> <span class='hs-varop'>++</span> <span class='hs-varid'>map</span> <span class='hs-varid'>mkConstr</span> <span class='hs-varid'>cs</span> <span class='hs-keyword'>of</span>
<a name="line-553"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>cannotSolve</span>
<a name="line-554"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>sol</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-555"></a> <span class='hs-varid'>reportSLn</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-str'>"Solved constraints: "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>sol</span>
<a name="line-556"></a> <span class='hs-varid'>s</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>primSizeSuc</span>
<a name="line-557"></a> <span class='hs-varid'>infty</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>primSizeInf</span>
<a name="line-558"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>suc</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span> <span class='hs-varop'>`apply`</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>defaultArg</span> <span class='hs-varid'>v</span><span class='hs-keyglyph'>]</span>
<a name="line-559"></a> <span class='hs-varid'>plus</span> <span class='hs-varid'>v</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>v</span>
<a name="line-560"></a> <span class='hs-varid'>plus</span> <span class='hs-varid'>v</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>suc</span> <span class='hs-varop'>$</span> <span class='hs-varid'>plus</span> <span class='hs-varid'>v</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-561"></a>
<a name="line-562"></a> <span class='hs-varid'>inst</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-563"></a>
<a name="line-564"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-varid'>i</span> <span class='hs-comment'>-- meta variable identifier</span>
<a name="line-565"></a> <span class='hs-varid'>ar</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maybe</span> <span class='hs-sel'>__IMPOSSIBLE__</span> <span class='hs-varid'>id</span> <span class='hs-varop'>$</span> <span class='hs-varid'>lookup</span> <span class='hs-varid'>m</span> <span class='hs-varid'>metas</span> <span class='hs-comment'>-- meta var arity</span>
<a name="line-566"></a>
<a name="line-567"></a><span class='hs-comment'>{- OLD
<a name="line-568"></a> args = case lookup m metas of
<a name="line-569"></a> Just xs -> xs
<a name="line-570"></a> Nothing -> __IMPOSSIBLE__
<a name="line-571"></a>-}</span>
<a name="line-572"></a>
<a name="line-573"></a> <span class='hs-varid'>term</span> <span class='hs-layout'>(</span><span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>SizeConst</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>Infinite</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>infty</span>
<a name="line-574"></a> <span class='hs-varid'>term</span> <span class='hs-layout'>(</span><span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>SizeVar</span> <span class='hs-varid'>j</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>j</span> <span class='hs-varop'><</span> <span class='hs-varid'>ar</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>plus</span> <span class='hs-layout'>(</span><span class='hs-varid'>var</span> <span class='hs-varop'>$</span> <span class='hs-varid'>ar</span> <span class='hs-comment'>-</span> <span class='hs-varid'>j</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span>
<a name="line-575"></a> <span class='hs-varid'>term</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-576"></a>
<a name="line-577"></a><span class='hs-comment'>{- OLD
<a name="line-578"></a> term (W.SizeConst (W.Finite _)) = __IMPOSSIBLE__
<a name="line-579"></a> term (W.SizeVar j n) = case findIndex (==fromIntegral j) $ reverse args of
<a name="line-580"></a> Just x -> return $ plus (var x) n
<a name="line-581"></a> Nothing -> __IMPOSSIBLE__
<a name="line-582"></a>-}</span>
<a name="line-583"></a> <span class='hs-varid'>lam</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lam</span> <span class='hs-conid'>NotHidden</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Abs</span> <span class='hs-str'>"s"</span> <span class='hs-varid'>v</span> <span class='hs-comment'>-- hiding does not matter</span>
<a name="line-584"></a>
<a name="line-585"></a> <span class='hs-comment'>-- convert size expression to term and abstract</span>
<a name="line-586"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-layout'>(</span><span class='hs-varid'>foldr</span> <span class='hs-varid'>lam</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>ar</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>$</span> <span class='hs-varid'>term</span> <span class='hs-varid'>e</span>
<a name="line-587"></a>
<a name="line-588"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.size.solve"</span> <span class='hs-num'>20</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sep</span>
<a name="line-589"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varop'><+></span> <span class='hs-varid'>text</span> <span class='hs-str'>":="</span>
<a name="line-590"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>v</span>
<a name="line-591"></a> <span class='hs-keyglyph'>]</span>
<a name="line-592"></a>
<a name="line-593"></a> <span class='hs-comment'>-- Andreas, 2012-09-25: do not assign interaction metas to \infty</span>
<a name="line-594"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>isInf</span> <span class='hs-layout'>(</span><span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>SizeConst</span> <span class='hs-conid'>W</span><span class='hs-varop'>.</span><span class='hs-conid'>Infinite</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-595"></a> <span class='hs-varid'>isInf</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-596"></a> <span class='hs-varid'>unlessM</span> <span class='hs-layout'>(</span><span class='hs-varid'>isInteractionMeta</span> <span class='hs-varid'>m</span> <span class='hs-varop'>`and2M`</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>isInf</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span>
<a name="line-597"></a> <span class='hs-varid'>assignTerm</span> <span class='hs-varid'>m</span> <span class='hs-varid'>v</span>
<a name="line-598"></a>
<a name="line-599"></a> <span class='hs-varid'>mapM_</span> <span class='hs-varid'>inst</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span> <span class='hs-varid'>sol</span>
<a name="line-600"></a>
<a name="line-601"></a> <span class='hs-comment'>-- Andreas, 2012-09-19</span>
<a name="line-602"></a> <span class='hs-comment'>-- The returned solution might not be consistent with</span>
<a name="line-603"></a> <span class='hs-comment'>-- the hypotheses on rigid vars (j : Size< i).</span>
<a name="line-604"></a> <span class='hs-comment'>-- Thus, we double check that all size constraints</span>
<a name="line-605"></a> <span class='hs-comment'>-- have been solved correctly.</span>
<a name="line-606"></a> <span class='hs-varid'>flip</span> <span class='hs-varid'>catchError</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>cannotSolve</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span>
<a name="line-607"></a> <span class='hs-varid'>noConstraints</span> <span class='hs-varop'>$</span>
<a name="line-608"></a> <span class='hs-varid'>forM_</span> <span class='hs-varid'>cs0</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>cl</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>enterClosure</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>solveConstraint</span>
</pre></body>
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