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<title>src/full/Agda/Compiler/Epic/Erasure.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a><span class='hs-comment'>-- | Some arguments to functions (types in particular) will not be used in the</span>
<a name="line-3"></a><span class='hs-comment'>-- body. Wouldn't it be useful if these wasn't passed around at all?</span>
<a name="line-4"></a><span class='hs-comment'>-- Fear not, we here perform some analysis and try to remove as many of these</span>
<a name="line-5"></a><span class='hs-comment'>-- occurences as possible.</span>
<a name="line-6"></a><span class='hs-comment'>--</span>
<a name="line-7"></a><span class='hs-comment'>-- We employ the worker/wrapper transform, so if f x1 .. xn = e</span>
<a name="line-8"></a><span class='hs-comment'>-- and we notice that some is not needed we create: f' xj .. xk = e [xi := unit]</span>
<a name="line-9"></a><span class='hs-comment'>-- and f x1 .. xn = f' xj .. xk.</span>
<a name="line-10"></a><span class='hs-comment'>-- i.e we erase them in f' and replace by unit, and the original f function</span>
<a name="line-11"></a><span class='hs-comment'>-- calls the new f'. The idea is that f should be inlined and then peace on earth.</span>
<a name="line-12"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Compiler</span><span class='hs-varop'>.</span><span class='hs-conid'>Epic</span><span class='hs-varop'>.</span><span class='hs-conid'>Erasure</span> <span class='hs-keyword'>where</span>
<a name="line-13"></a>
<a name="line-14"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-15"></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'>State</span>
<a name="line-16"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span><span class='hs-layout'>(</span><span class='hs-conid'>Map</span><span class='hs-layout'>)</span>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>M</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Maybe</span>
<a name="line-19"></a>
<a name="line-20"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Compiler</span><span class='hs-varop'>.</span><span class='hs-conid'>Epic</span><span class='hs-varop'>.</span><span class='hs-conid'>AuxAST</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'>Compiler</span><span class='hs-varop'>.</span><span class='hs-conid'>Epic</span><span class='hs-varop'>.</span><span class='hs-conid'>CompileState</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'>Compiler</span><span class='hs-varop'>.</span><span class='hs-conid'>Epic</span><span class='hs-varop'>.</span><span class='hs-conid'>Interface</span>
<a name="line-23"></a>
<a name="line-24"></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'>Base</span> <span class='hs-layout'>(</span><span class='hs-conid'>TCM</span><span class='hs-layout'>)</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>SI</span>
<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'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Common</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>SC</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'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span> <span class='hs-layout'>(</span><span class='hs-conid'>MonadTCM</span><span class='hs-layout'>,</span> <span class='hs-varid'>reportSDoc</span><span class='hs-layout'>)</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'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Pretty</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>P</span>
<a name="line-29"></a>
<a name="line-30"></a><span class='hs-cpp'>#include "../../undefined.h"</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'>Impossible</span>
<a name="line-32"></a>
<a name="line-33"></a><a name="isIrr"></a><span class='hs-definition'>isIrr</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-34"></a><span class='hs-definition'>isIrr</span> <span class='hs-conid'>Irr</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-35"></a><span class='hs-definition'>isIrr</span> <span class='hs-conid'>Rel</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="isRel"></a><span class='hs-definition'>isRel</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-38"></a><span class='hs-definition'>isRel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>not</span> <span class='hs-varop'>.</span> <span class='hs-varid'>isIrr</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="%7c%7c-"></a><span class='hs-comment'>-- | Relevance "or"</span>
<a name="line-41"></a><span class='hs-layout'>(</span><span class='hs-varop'>||-</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-42"></a><span class='hs-conid'>Irr</span> <span class='hs-varop'>||-</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span>
<a name="line-43"></a><span class='hs-keyword'>_</span> <span class='hs-varop'>||-</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Rel</span>
<a name="line-44"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>2</span> <span class='hs-varop'>||-</span>
<a name="line-45"></a>
<a name="line-46"></a><a name="&&-"></a><span class='hs-comment'>-- | Relevance "and"</span>
<a name="line-47"></a><span class='hs-layout'>(</span><span class='hs-varop'>&&-</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-48"></a><span class='hs-conid'>Rel</span> <span class='hs-varop'>&&-</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span>
<a name="line-49"></a><span class='hs-keyword'>_</span> <span class='hs-varop'>&&-</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Irr</span>
<a name="line-50"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>3</span> <span class='hs-varop'>&&-</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="ErasureState"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>ErasureState</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ErasureState</span>
<a name="line-53"></a> <span class='hs-layout'>{</span> <span class='hs-varid'>relevancies</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Map</span> <span class='hs-conid'>Var</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Relevance</span><span class='hs-keyglyph'>]</span>
<a name="line-54"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funs</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Map</span> <span class='hs-conid'>Var</span> <span class='hs-conid'>Fun</span>
<a name="line-55"></a> <span class='hs-layout'>}</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="Erasure"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Erasure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>StateT</span> <span class='hs-conid'>ErasureState</span>
<a name="line-58"></a>
<a name="line-59"></a><a name="erasure"></a><span class='hs-comment'>-- | Try to find as many unused variables as possible</span>
<a name="line-60"></a><span class='hs-definition'>erasure</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Fun</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Compile</span> <span class='hs-conid'>TCM</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Fun</span><span class='hs-keyglyph'>]</span>
<a name="line-61"></a><span class='hs-definition'>erasure</span> <span class='hs-varid'>fs</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-62"></a> <span class='hs-varid'>orgRel</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>gets</span> <span class='hs-layout'>(</span><span class='hs-varid'>relevantArgs</span> <span class='hs-varop'>.</span> <span class='hs-varid'>importedModules</span><span class='hs-layout'>)</span>
<a name="line-63"></a> <span class='hs-layout'>(</span><span class='hs-varid'>rels</span><span class='hs-layout'>,</span> <span class='hs-varid'>erasureState</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>runStateT</span> <span class='hs-layout'>(</span><span class='hs-conid'>ErasureState</span> <span class='hs-varid'>orgRel</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>empty</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-64"></a> <span class='hs-varid'>mapM_</span> <span class='hs-varid'>initiate</span> <span class='hs-varid'>fs</span>
<a name="line-65"></a> <span class='hs-varid'>fu</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>gets</span> <span class='hs-varid'>funs</span>
<a name="line-66"></a> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>mapKeys</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromMaybe</span> <span class='hs-sel'>__IMPOSSIBLE__</span> <span class='hs-varop'>.</span> <span class='hs-varid'>flip</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>fu</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>step</span> <span class='hs-num'>1</span>
<a name="line-67"></a> <span class='hs-varid'>modifyEI</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-layout'>{</span> <span class='hs-varid'>relevantArgs</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>mapKeys</span> <span class='hs-varid'>funName</span> <span class='hs-varid'>rels</span> <span class='hs-layout'>}</span>
<a name="line-68"></a> <span class='hs-varid'>concat</span> <span class='hs-varop'><$></span> <span class='hs-varid'>mapM</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>f</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-layout'>(</span><span class='hs-varid'>relevancies</span> <span class='hs-varid'>erasureState</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>check</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>f</span> <span class='hs-varid'>rels</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>fs</span>
<a name="line-69"></a> <span class='hs-keyword'>where</span>
<a name="line-70"></a>
<a name="line-71"></a> <span class='hs-varid'>rem</span> <span class='hs-varid'>rels</span> <span class='hs-varid'>f</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>Fun</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funExpr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>removeUnused</span> <span class='hs-varid'>rels</span> <span class='hs-layout'>(</span><span class='hs-varid'>funExpr</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-72"></a> <span class='hs-varid'>rem</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span>
<a name="line-73"></a> <span class='hs-comment'>-- | Perform the worker//wrapper transform</span>
<a name="line-74"></a> <span class='hs-varid'>check</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Fun</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Maybe</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Relevance</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Compile</span> <span class='hs-conid'>TCM</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Fun</span><span class='hs-keyglyph'>]</span>
<a name="line-75"></a> <span class='hs-comment'>-- If the function is already marked as to inline we don't need to create a</span>
<a name="line-76"></a> <span class='hs-comment'>-- new function. Also If all arguments are relevant there is nothing to do.</span>
<a name="line-77"></a> <span class='hs-varid'>check</span> <span class='hs-varid'>f</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>Fun</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>rs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>any</span> <span class='hs-varid'>isIrr</span> <span class='hs-varid'>rs</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>funInline</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-78"></a> <span class='hs-varid'>f'</span> <span class='hs-keyglyph'><-</span> <span class='hs-layout'>(</span><span class='hs-varid'>funName</span> <span class='hs-varid'>f</span> <span class='hs-varop'>++</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>newName</span>
<a name="line-79"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>args'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pairwiseFilter</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>isRel</span> <span class='hs-varid'>rs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>funArgs</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-80"></a> <span class='hs-varid'>subs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pairwiseFilter</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>isIrr</span> <span class='hs-varid'>rs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>funArgs</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-81"></a> <span class='hs-varid'>e'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>v</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>subst</span> <span class='hs-varid'>v</span> <span class='hs-str'>"primUnit"</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>funExpr</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>subs</span>
<a name="line-82"></a> <span class='hs-varid'>return</span> <span class='hs-keyglyph'>[</span> <span class='hs-conid'>Fun</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funInline</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-83"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funName</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>funName</span> <span class='hs-varid'>f</span>
<a name="line-84"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funQName</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>funQName</span> <span class='hs-varid'>f</span>
<a name="line-85"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funComment</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>funComment</span> <span class='hs-varid'>f</span>
<a name="line-86"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funArgs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>funArgs</span> <span class='hs-varid'>f</span>
<a name="line-87"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funExpr</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>App</span> <span class='hs-varid'>f'</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-conid'>Var</span> <span class='hs-varid'>args'</span>
<a name="line-88"></a> <span class='hs-layout'>}</span>
<a name="line-89"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>Fun</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funInline</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-90"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funName</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f'</span>
<a name="line-91"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funQName</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span>
<a name="line-92"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funComment</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>funComment</span> <span class='hs-varid'>f</span> <span class='hs-varop'>++</span> <span class='hs-str'>" [ERASED]"</span>
<a name="line-93"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funArgs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>args'</span>
<a name="line-94"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funExpr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e'</span>
<a name="line-95"></a> <span class='hs-layout'>}</span>
<a name="line-96"></a> <span class='hs-keyglyph'>]</span>
<a name="line-97"></a> <span class='hs-varid'>check</span> <span class='hs-varid'>f</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-varid'>f</span><span class='hs-keyglyph'>]</span>
<a name="line-98"></a>
<a name="line-99"></a><a name="removeUnused"></a><span class='hs-definition'>removeUnused</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Map</span> <span class='hs-conid'>Var</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Relevance</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Expr</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Expr</span>
<a name="line-100"></a><span class='hs-definition'>removeUnused</span> <span class='hs-varid'>rels</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>rem</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>removeUnused</span> <span class='hs-varid'>rels</span>
<a name="line-101"></a> <span class='hs-keyword'>in</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>of</span>
<a name="line-102"></a> <span class='hs-conid'>Var</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-103"></a> <span class='hs-conid'>Lit</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-104"></a> <span class='hs-conid'>Lam</span> <span class='hs-varid'>v</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Lam</span> <span class='hs-varid'>v</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-105"></a> <span class='hs-conid'>Con</span> <span class='hs-varid'>tag</span> <span class='hs-varid'>qn</span> <span class='hs-varid'>es</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Con</span> <span class='hs-varid'>tag</span> <span class='hs-varid'>qn</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>rem</span> <span class='hs-varid'>es</span><span class='hs-layout'>)</span>
<a name="line-106"></a> <span class='hs-conid'>App</span> <span class='hs-varid'>v</span> <span class='hs-varid'>es</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>v</span> <span class='hs-varid'>rels</span> <span class='hs-keyword'>of</span>
<a name="line-107"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>re</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>App</span> <span class='hs-varid'>v</span> <span class='hs-varop'>$</span> <span class='hs-varid'>zipWith</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>r</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>if</span> <span class='hs-varid'>isIrr</span> <span class='hs-varid'>r</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>UNIT</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>rem</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-108"></a> <span class='hs-layout'>(</span><span class='hs-varid'>re</span> <span class='hs-varop'>++</span> <span class='hs-varid'>repeat</span> <span class='hs-conid'>Rel</span><span class='hs-layout'>)</span> <span class='hs-varid'>es</span>
<a name="line-109"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>App</span> <span class='hs-varid'>v</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>rem</span> <span class='hs-varid'>es</span>
<a name="line-110"></a> <span class='hs-conid'>Case</span> <span class='hs-varid'>e</span> <span class='hs-varid'>brs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Case</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>br</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>br</span> <span class='hs-layout'>{</span><span class='hs-varid'>brExpr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rem</span> <span class='hs-varop'>$</span> <span class='hs-varid'>brExpr</span> <span class='hs-varid'>br</span><span class='hs-layout'>}</span><span class='hs-layout'>)</span> <span class='hs-varid'>brs</span><span class='hs-layout'>)</span>
<a name="line-111"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>If</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-112"></a> <span class='hs-conid'>Let</span> <span class='hs-varid'>v</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lett</span> <span class='hs-varid'>v</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>e1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>e2</span><span class='hs-layout'>)</span>
<a name="line-113"></a> <span class='hs-conid'>Lazy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lazy</span> <span class='hs-layout'>(</span><span class='hs-varid'>rem</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-114"></a> <span class='hs-conid'>UNIT</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-115"></a> <span class='hs-conid'>IMPOSSIBLE</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-116"></a>
<a name="line-117"></a><a name="initiate"></a><span class='hs-comment'>-- | Initiate a function's relevancies</span>
<a name="line-118"></a><span class='hs-definition'>initiate</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Fun</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Erasure</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compile</span> <span class='hs-conid'>TCM</span><span class='hs-layout'>)</span> <span class='hs-conid'>()</span>
<a name="line-119"></a><span class='hs-definition'>initiate</span> <span class='hs-varid'>f</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Fun</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>name</span> <span class='hs-varid'>mqname</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>args</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-120"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>rels</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>replicate</span> <span class='hs-layout'>(</span><span class='hs-varid'>length</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-conid'>Irr</span>
<a name="line-121"></a> <span class='hs-varid'>modify</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-layout'>{</span> <span class='hs-varid'>relevancies</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>insert</span> <span class='hs-varid'>name</span> <span class='hs-varid'>rels</span> <span class='hs-layout'>(</span><span class='hs-varid'>relevancies</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-122"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funs</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>insert</span> <span class='hs-varid'>name</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>funs</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-123"></a> <span class='hs-layout'>}</span>
<a name="line-124"></a><span class='hs-definition'>initiate</span> <span class='hs-varid'>f</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>EpicFun</span> <span class='hs-layout'>{</span><span class='hs-varid'>funName</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>name</span><span class='hs-layout'>,</span> <span class='hs-varid'>funQName</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mqname</span><span class='hs-layout'>}</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>mqname</span> <span class='hs-keyword'>of</span>
<a name="line-125"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>qn</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-126"></a> <span class='hs-varid'>ty</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>lift</span> <span class='hs-varop'>$</span> <span class='hs-varid'>getType</span> <span class='hs-varid'>qn</span>
<a name="line-127"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>rels</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>initialRels</span> <span class='hs-varid'>ty</span> <span class='hs-conid'>Rel</span>
<a name="line-128"></a> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-129"></a> <span class='hs-varid'>modify</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span> <span class='hs-layout'>{</span> <span class='hs-varid'>relevancies</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>insert</span> <span class='hs-varid'>name</span> <span class='hs-varid'>rels</span> <span class='hs-layout'>(</span><span class='hs-varid'>relevancies</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-130"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funs</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>insert</span> <span class='hs-varid'>name</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>funs</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-131"></a> <span class='hs-layout'>}</span>
<a name="line-132"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-133"></a>
<a name="line-134"></a><a name="initialRels"></a><span class='hs-definition'>initialRels</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Relevance</span><span class='hs-keyglyph'>]</span>
<a name="line-135"></a><span class='hs-definition'>initialRels</span> <span class='hs-varid'>ty</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span>
<a name="line-136"></a> <span class='hs-keyword'>case</span> <span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-varid'>unEl</span> <span class='hs-varid'>ty</span> <span class='hs-keyword'>of</span>
<a name="line-137"></a> <span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-conid'>Pi</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>mkRel</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:</span> <span class='hs-varid'>initialRels</span> <span class='hs-layout'>(</span><span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-varid'>unAbs</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>rel</span>
<a name="line-138"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span>
<a name="line-139"></a> <span class='hs-keyword'>where</span>
<a name="line-140"></a> <span class='hs-varid'>mkRel</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>SC</span><span class='hs-varop'>.</span><span class='hs-conid'>Dom</span> <span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-141"></a> <span class='hs-varid'>mkRel</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>ignoreForced</span> <span class='hs-layout'>(</span><span class='hs-conid'>SC</span><span class='hs-varop'>.</span><span class='hs-varid'>domRelevance</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Irr</span>
<a name="line-142"></a> <span class='hs-varid'>mkRel</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-varid'>unEl</span> <span class='hs-layout'>(</span><span class='hs-conid'>SC</span><span class='hs-varop'>.</span><span class='hs-varid'>unDom</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-143"></a> <span class='hs-conid'>SI</span><span class='hs-varop'>.</span><span class='hs-conid'>Sort</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Irr</span>
<a name="line-144"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>rel</span>
<a name="line-145"></a>
<a name="line-146"></a><a name="ignoreForced"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>SC</span><span class='hs-varop'>.</span><span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-147"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-conid'>SC</span><span class='hs-varop'>.</span><span class='hs-conid'>Relevant</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-148"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-149"></a>
<a name="line-150"></a><a name="relevant"></a><span class='hs-comment'>-- | Calculate if a variable is relevant in an expression</span>
<a name="line-151"></a><span class='hs-definition'>relevant</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Functor</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Var</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Expr</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Erasure</span> <span class='hs-varid'>m</span> <span class='hs-conid'>Relevance</span>
<a name="line-152"></a><span class='hs-definition'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>expr</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>expr</span> <span class='hs-keyword'>of</span>
<a name="line-153"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>v</span> <span class='hs-varop'>==</span> <span class='hs-varid'>var</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Rel</span>
<a name="line-154"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Irr</span>
<a name="line-155"></a> <span class='hs-conid'>Lit</span> <span class='hs-sel'>_l</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Irr</span>
<a name="line-156"></a> <span class='hs-conid'>Lam</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>e</span>
<a name="line-157"></a> <span class='hs-conid'>Con</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>es</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>relevants</span> <span class='hs-varid'>var</span> <span class='hs-varid'>es</span>
<a name="line-158"></a> <span class='hs-conid'>App</span> <span class='hs-varid'>v</span> <span class='hs-varid'>es</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>v</span> <span class='hs-varop'>==</span> <span class='hs-varid'>var</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Rel</span>
<a name="line-159"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-160"></a> <span class='hs-comment'>-- The variable is relevant if it is used in a relevant position</span>
<a name="line-161"></a> <span class='hs-varid'>mvrs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>gets</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>v</span> <span class='hs-varop'>.</span> <span class='hs-varid'>relevancies</span><span class='hs-layout'>)</span>
<a name="line-162"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>mvrs</span> <span class='hs-keyword'>of</span>
<a name="line-163"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>relevants</span> <span class='hs-varid'>var</span> <span class='hs-varid'>es</span>
<a name="line-164"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>vrs</span> <span class='hs-keyglyph'>-></span>
<a name="line-165"></a> <span class='hs-varid'>relevants</span> <span class='hs-varid'>var</span>
<a name="line-166"></a> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>snd</span>
<a name="line-167"></a> <span class='hs-varop'>$</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-layout'>)</span> <span class='hs-conid'>Rel</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fst</span><span class='hs-layout'>)</span>
<a name="line-168"></a> <span class='hs-varop'>$</span> <span class='hs-varid'>zip</span> <span class='hs-layout'>(</span><span class='hs-varid'>vrs</span> <span class='hs-varop'>++</span> <span class='hs-varid'>repeat</span> <span class='hs-conid'>Rel</span><span class='hs-layout'>)</span> <span class='hs-varid'>es</span>
<a name="line-169"></a> <span class='hs-comment'>-- foldr (||-) Irr <$> zipWith (&&-) (vrs ++ repeat Rel) <$> mapM (relevant var) es</span>
<a name="line-170"></a> <span class='hs-comment'>-- {-</span>
<a name="line-171"></a> <span class='hs-conid'>Case</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>br</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>Branch</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-172"></a> <span class='hs-varid'>cvars</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>foldr</span> <span class='hs-layout'>(</span><span class='hs-varop'>||-</span><span class='hs-layout'>)</span> <span class='hs-conid'>Irr</span> <span class='hs-varop'><$></span> <span class='hs-varid'>mapM</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-varid'>relevant</span> <span class='hs-varop'>$</span> <span class='hs-varid'>brExpr</span> <span class='hs-varid'>br</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>brVars</span> <span class='hs-varid'>br</span><span class='hs-layout'>)</span>
<a name="line-173"></a> <span class='hs-varid'>vare</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>e</span>
<a name="line-174"></a> <span class='hs-varid'>varbr</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-layout'>(</span><span class='hs-varid'>brExpr</span> <span class='hs-varid'>br</span><span class='hs-layout'>)</span>
<a name="line-175"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>vare</span> <span class='hs-varop'>&&-</span> <span class='hs-varid'>cvars</span><span class='hs-layout'>)</span> <span class='hs-varop'>||-</span> <span class='hs-varid'>varbr</span><span class='hs-layout'>)</span>
<a name="line-176"></a> <span class='hs-comment'>-- -}</span>
<a name="line-177"></a> <span class='hs-conid'>Case</span> <span class='hs-varid'>e</span> <span class='hs-varid'>brs</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varop'>||-</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>e</span> <span class='hs-varop'><*></span> <span class='hs-varid'>relevants</span> <span class='hs-varid'>var</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>brExpr</span> <span class='hs-varid'>brs</span><span class='hs-layout'>)</span>
<a name="line-178"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>relevants</span> <span class='hs-varid'>var</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span>
<a name="line-179"></a> <span class='hs-conid'>Let</span> <span class='hs-varid'>x</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varop'>||-</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>&&-</span><span class='hs-layout'>)</span> <span class='hs-varop'><$></span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>e1</span> <span class='hs-varop'><*></span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>x</span> <span class='hs-varid'>e2</span><span class='hs-layout'>)</span> <span class='hs-varop'><*></span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>e2</span>
<a name="line-180"></a> <span class='hs-conid'>Lazy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>var</span> <span class='hs-varid'>e</span>
<a name="line-181"></a> <span class='hs-conid'>UNIT</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Irr</span>
<a name="line-182"></a> <span class='hs-conid'>IMPOSSIBLE</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Irr</span>
<a name="line-183"></a> <span class='hs-keyword'>where</span>
<a name="line-184"></a> <span class='hs-varid'>relevants</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Functor</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Var</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Expr</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Erasure</span> <span class='hs-varid'>m</span> <span class='hs-conid'>Relevance</span>
<a name="line-185"></a> <span class='hs-varid'>relevants</span> <span class='hs-varid'>v</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>Irr</span>
<a name="line-186"></a> <span class='hs-varid'>relevants</span> <span class='hs-varid'>v</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span> <span class='hs-conop'>:</span> <span class='hs-varid'>es</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-187"></a> <span class='hs-varid'>r</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>relevant</span> <span class='hs-varid'>v</span> <span class='hs-varid'>e</span>
<a name="line-188"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>r</span> <span class='hs-keyword'>of</span>
<a name="line-189"></a> <span class='hs-conid'>Rel</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varid'>r</span>
<a name="line-190"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>relevants</span> <span class='hs-varid'>v</span> <span class='hs-varid'>es</span>
<a name="line-191"></a> <span class='hs-comment'>-- relevants v es = return . foldr (\x y -> x ||- y) Irr =<< mapM (relevant v) es</span>
<a name="line-192"></a>
<a name="line-193"></a><a name="step"></a><span class='hs-comment'>-- | Try to find a fixpoint for all the functions relevance.</span>
<a name="line-194"></a><span class='hs-definition'>step</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Erasure</span> <span class='hs-layout'>(</span><span class='hs-conid'>Compile</span> <span class='hs-conid'>TCM</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-conid'>Var</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Relevance</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-195"></a><span class='hs-definition'>step</span> <span class='hs-varid'>nrOfLoops</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-196"></a> <span class='hs-varid'>s</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>get</span>
<a name="line-197"></a> <span class='hs-varid'>newRels</span> <span class='hs-keyglyph'><-</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'><$></span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>forM</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span> <span class='hs-layout'>(</span><span class='hs-varid'>funs</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>v</span><span class='hs-layout'>,</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varid'>v</span> <span class='hs-varop'><$></span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-198"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>funRels</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromMaybe</span> <span class='hs-sel'>__IMPOSSIBLE__</span> <span class='hs-varop'>$</span> <span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>lookup</span> <span class='hs-varid'>v</span> <span class='hs-layout'>(</span><span class='hs-varid'>relevancies</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-199"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>f</span> <span class='hs-keyword'>of</span>
<a name="line-200"></a> <span class='hs-conid'>EpicFun</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varid'>funRels</span>
<a name="line-201"></a> <span class='hs-conid'>Fun</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-202"></a> <span class='hs-varid'>forM</span> <span class='hs-layout'>(</span><span class='hs-varid'>zip</span> <span class='hs-layout'>(</span><span class='hs-varid'>funArgs</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>funRels</span> <span class='hs-varop'>++</span> <span class='hs-varid'>repeat</span> <span class='hs-conid'>Rel</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>rel</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>case</span> <span class='hs-varid'>rel</span> <span class='hs-keyword'>of</span>
<a name="line-203"></a> <span class='hs-conid'>Rel</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>Rel</span>
<a name="line-204"></a> <span class='hs-conid'>Irr</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-205"></a> <span class='hs-varid'>lift</span> <span class='hs-varop'>$</span> <span class='hs-varid'>lift</span> <span class='hs-varop'>$</span> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"epic.erasure"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-conid'>P</span><span class='hs-varop'>.</span><span class='hs-varid'>text</span> <span class='hs-str'>"running erasure:"</span> <span class='hs-conid'>P</span><span class='hs-varop'>.<+></span> <span class='hs-layout'>(</span><span class='hs-conid'>P</span><span class='hs-varop'>.</span><span class='hs-varid'>text</span> <span class='hs-varop'>.</span> <span class='hs-varid'>show</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>funQName</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-206"></a> <span class='hs-varid'>relevant</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>funExpr</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-207"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>relsm</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>newRels</span> <span class='hs-varop'>`</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>union</span><span class='hs-varop'>`</span> <span class='hs-varid'>relevancies</span> <span class='hs-varid'>s</span>
<a name="line-208"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>relevancies</span> <span class='hs-varid'>s</span> <span class='hs-varop'>==</span> <span class='hs-varid'>relsm</span>
<a name="line-209"></a> <span class='hs-keyword'>then</span> <span class='hs-varid'>return</span> <span class='hs-varid'>newRels</span>
<a name="line-210"></a> <span class='hs-keyword'>else</span> <span class='hs-keyword'>do</span>
<a name="line-211"></a> <span class='hs-varid'>put</span> <span class='hs-varid'>s</span> <span class='hs-layout'>{</span><span class='hs-varid'>relevancies</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>relsm</span><span class='hs-layout'>}</span>
<a name="line-212"></a> <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-varid'>nrOfLoops</span> <span class='hs-varop'>+</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-213"></a>
<a name="line-214"></a><a name="diff"></a><span class='hs-definition'>diff</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>Eq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-215"></a><span class='hs-definition'>diff</span> <span class='hs-varid'>m1</span> <span class='hs-varid'>m2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>catMaybes</span> <span class='hs-varop'>$</span> <span class='hs-varid'>zipWith</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>if</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>y</span> <span class='hs-keyword'>then</span> <span class='hs-conid'>Nothing</span> <span class='hs-keyword'>else</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span> <span class='hs-varid'>m1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>M</span><span class='hs-varop'>.</span><span class='hs-varid'>toList</span> <span class='hs-varid'>m2</span><span class='hs-layout'>)</span>
</pre></body>
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