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<pre><a name="line-1"></a><span class='hs-comment'>-----------------------------------------------------------</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module : Optimize</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright : Daan Leijen (c) 1999, daan@cs.uu.nl</span>
<a name="line-5"></a><span class='hs-comment'>-- HWT Group (c) 2003, haskelldb-users@lists.sourceforge.net</span>
<a name="line-6"></a><span class='hs-comment'>-- License : BSD-style</span>
<a name="line-7"></a><span class='hs-comment'>-- </span>
<a name="line-8"></a><span class='hs-comment'>-- Maintainer : haskelldb-users@lists.sourceforge.net</span>
<a name="line-9"></a><span class='hs-comment'>-- Stability : experimental</span>
<a name="line-10"></a><span class='hs-comment'>-- Portability : non portable</span>
<a name="line-11"></a><span class='hs-comment'>--</span>
<a name="line-12"></a><span class='hs-comment'>-- Defines standard optimizations performed on PrimQuery's</span>
<a name="line-13"></a><span class='hs-comment'>-- (relational expressions).</span>
<a name="line-14"></a><span class='hs-comment'>--</span>
<a name="line-15"></a><span class='hs-comment'>-- </span>
<a name="line-16"></a><span class='hs-comment'>-----------------------------------------------------------</span>
<a name="line-17"></a>
<a name="line-18"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Database</span><span class='hs-varop'>.</span><span class='hs-conid'>HaskellDB</span><span class='hs-varop'>.</span><span class='hs-conid'>Optimize</span> <span class='hs-layout'>(</span><span class='hs-varid'>optimize</span><span class='hs-layout'>,</span> <span class='hs-varid'>optimizeCriteria</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-19"></a>
<a name="line-20"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Exception</span> <span class='hs-layout'>(</span><span class='hs-varid'>assert</span><span class='hs-layout'>)</span>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span> <span class='hs-layout'>(</span><span class='hs-varid'>intersect</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>\\</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>union</span><span class='hs-layout'>,</span> <span class='hs-varid'>nub</span><span class='hs-layout'>)</span>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Database</span><span class='hs-varop'>.</span><span class='hs-conid'>HaskellDB</span><span class='hs-varop'>.</span><span class='hs-conid'>PrimQuery</span>
<a name="line-23"></a>
<a name="line-24"></a><a name="optimize"></a><span class='hs-comment'>-- | Optimize a PrimQuery</span>
<a name="line-25"></a><span class='hs-definition'>optimize</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-26"></a><span class='hs-definition'>optimize</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>hacks</span>
<a name="line-27"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>mergeProject</span>
<a name="line-28"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>removeEmpty</span>
<a name="line-29"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>removeDead</span>
<a name="line-30"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>pushRestrict</span>
<a name="line-31"></a> <span class='hs-varop'>.</span> <span class='hs-varid'>optimizeExprs</span>
<a name="line-32"></a>
<a name="line-33"></a><a name="optimizeCriteria"></a><span class='hs-comment'>-- | Optimize a set of criteria.</span>
<a name="line-34"></a><span class='hs-definition'>optimizeCriteria</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>PrimExpr</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>PrimExpr</span><span class='hs-keyglyph'>]</span>
<a name="line-35"></a><span class='hs-definition'>optimizeCriteria</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'>exprIsTrue</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>optimizeExpr</span>
<a name="line-36"></a>
<a name="line-37"></a>
<a name="line-38"></a><a name="hacks"></a><span class='hs-comment'>-- | Hacks needed by some back-ends.</span>
<a name="line-39"></a><span class='hs-comment'>-- FIXME: this is silly.</span>
<a name="line-40"></a><span class='hs-definition'>hacks</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-41"></a><span class='hs-definition'>hacks</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>includeOrderFieldsInSelect</span>
<a name="line-42"></a>
<a name="line-43"></a><a name="includeOrderFieldsInSelect"></a><span class='hs-comment'>-- | HACK: All fields that we order by must also be in the result in </span>
<a name="line-44"></a><span class='hs-comment'>-- PostgreSQL, since we use SELECT DISTINCT.</span>
<a name="line-45"></a><span class='hs-definition'>includeOrderFieldsInSelect</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-46"></a><span class='hs-definition'>includeOrderFieldsInSelect</span> <span class='hs-keyglyph'>=</span>
<a name="line-47"></a> <span class='hs-varid'>foldPrimQuery</span> <span class='hs-layout'>(</span><span class='hs-conid'>Empty</span><span class='hs-layout'>,</span> <span class='hs-conid'>BaseTable</span><span class='hs-layout'>,</span> <span class='hs-varid'>proj</span><span class='hs-layout'>,</span> <span class='hs-conid'>Restrict</span><span class='hs-layout'>,</span> <span class='hs-conid'>Binary</span><span class='hs-layout'>,</span> <span class='hs-conid'>Group</span><span class='hs-layout'>,</span> <span class='hs-conid'>Special</span><span class='hs-layout'>)</span>
<a name="line-48"></a> <span class='hs-keyword'>where</span>
<a name="line-49"></a> <span class='hs-varid'>proj</span> <span class='hs-varid'>ass</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-layout'>(</span><span class='hs-varid'>ass</span><span class='hs-varop'>++</span><span class='hs-varid'>ass'</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span>
<a name="line-50"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>ass'</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>AttrExpr</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>new</span> <span class='hs-keyglyph'>]</span>
<a name="line-51"></a> <span class='hs-varid'>new</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>orderedBy</span> <span class='hs-varid'>p</span> <span class='hs-varop'>\\</span> <span class='hs-varid'>concatMap</span> <span class='hs-layout'>(</span><span class='hs-varid'>attrInExpr</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span><span class='hs-layout'>)</span> <span class='hs-varid'>ass</span>
<a name="line-52"></a> <span class='hs-varid'>orderedBy</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldPrimQuery</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span>
<a name="line-53"></a> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-varid'>special</span><span class='hs-layout'>)</span>
<a name="line-54"></a> <span class='hs-varid'>special</span> <span class='hs-layout'>(</span><span class='hs-conid'>Order</span> <span class='hs-varid'>es</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>attrInOrder</span> <span class='hs-varid'>es</span> <span class='hs-varop'>`union`</span> <span class='hs-varid'>p</span>
<a name="line-55"></a> <span class='hs-varid'>special</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>p</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="removeDead"></a><span class='hs-comment'>-- | Remove unused attributes from projections.</span>
<a name="line-58"></a><span class='hs-definition'>removeDead</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-59"></a><span class='hs-definition'>removeDead</span> <span class='hs-varid'>query</span>
<a name="line-60"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>removeD</span> <span class='hs-layout'>(</span><span class='hs-varid'>attributes</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span> <span class='hs-varid'>query</span>
<a name="line-61"></a>
<a name="line-62"></a><a name="removeD"></a><span class='hs-definition'>removeD</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Scheme</span> <span class='hs-comment'>-- ^ All live attributes (i.e. all attributes </span>
<a name="line-63"></a> <span class='hs-comment'>-- that are in the result of the query)</span>
<a name="line-64"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-65"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-66"></a><span class='hs-definition'>removeD</span> <span class='hs-varid'>live</span> <span class='hs-layout'>(</span><span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query1</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span>
<a name="line-67"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>assert</span> <span class='hs-layout'>(</span><span class='hs-varid'>all</span> <span class='hs-layout'>(</span><span class='hs-varop'>`elem`</span> <span class='hs-layout'>(</span><span class='hs-varid'>live1</span> <span class='hs-varop'>++</span> <span class='hs-varid'>live2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>live</span><span class='hs-layout'>)</span>
<a name="line-68"></a> <span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-varid'>removeD</span> <span class='hs-varid'>live1</span> <span class='hs-varid'>query1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>removeD</span> <span class='hs-varid'>live2</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span>
<a name="line-69"></a> <span class='hs-keyword'>where</span>
<a name="line-70"></a> <span class='hs-varid'>live1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>live</span> <span class='hs-varop'>`intersect`</span> <span class='hs-varid'>attributes</span> <span class='hs-varid'>query1</span>
<a name="line-71"></a> <span class='hs-varid'>live2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>live</span> <span class='hs-varop'>`intersect`</span> <span class='hs-varid'>attributes</span> <span class='hs-varid'>query2</span>
<a name="line-72"></a>
<a name="line-73"></a><span class='hs-definition'>removeD</span> <span class='hs-varid'>live</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-74"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>assert</span> <span class='hs-layout'>(</span><span class='hs-varid'>all</span> <span class='hs-layout'>(</span><span class='hs-varop'>`elem`</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>newAssoc</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>live</span><span class='hs-layout'>)</span>
<a name="line-75"></a> <span class='hs-conid'>Project</span> <span class='hs-varid'>newAssoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>removeD</span> <span class='hs-varid'>newLive</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-76"></a> <span class='hs-keyword'>where</span>
<a name="line-77"></a> <span class='hs-comment'>-- The live attributes in the nested query.</span>
<a name="line-78"></a> <span class='hs-varid'>newLive</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Scheme</span>
<a name="line-79"></a> <span class='hs-varid'>newLive</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concat</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>attrInExpr</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span><span class='hs-layout'>)</span> <span class='hs-varid'>newAssoc</span><span class='hs-layout'>)</span>
<a name="line-80"></a>
<a name="line-81"></a> <span class='hs-comment'>-- All associations that define attributes that are live</span>
<a name="line-82"></a> <span class='hs-comment'>-- or that will be put in a GROUP BY clause.</span>
<a name="line-83"></a> <span class='hs-comment'>-- These are the associations that will be kept.</span>
<a name="line-84"></a> <span class='hs-varid'>newAssoc</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Assoc</span>
<a name="line-85"></a> <span class='hs-varid'>newAssoc</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-varid'>isLive</span> <span class='hs-varid'>live</span><span class='hs-layout'>)</span> <span class='hs-varid'>assoc</span>
<a name="line-86"></a>
<a name="line-87"></a><span class='hs-definition'>removeD</span> <span class='hs-varid'>live</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-88"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>removeD</span> <span class='hs-layout'>(</span><span class='hs-varid'>live</span> <span class='hs-varop'>++</span> <span class='hs-varid'>attrInExpr</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-89"></a>
<a name="line-90"></a><span class='hs-definition'>removeD</span> <span class='hs-varid'>live</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-layout'>(</span><span class='hs-conid'>Order</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-91"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Special</span> <span class='hs-layout'>(</span><span class='hs-conid'>Order</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>removeD</span> <span class='hs-layout'>(</span><span class='hs-varid'>live</span> <span class='hs-varop'>++</span> <span class='hs-varid'>attrInOrder</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-92"></a>
<a name="line-93"></a><span class='hs-definition'>removeD</span> <span class='hs-varid'>live</span> <span class='hs-layout'>(</span><span class='hs-conid'>Group</span> <span class='hs-varid'>cols</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Group</span> <span class='hs-varid'>newAssoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>removeD</span> <span class='hs-varid'>newLive</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-94"></a> <span class='hs-keyword'>where</span>
<a name="line-95"></a> <span class='hs-varid'>newLive</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Scheme</span>
<a name="line-96"></a> <span class='hs-varid'>newLive</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concat</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>attrInExpr</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span><span class='hs-layout'>)</span> <span class='hs-varid'>newAssoc</span><span class='hs-layout'>)</span>
<a name="line-97"></a> <span class='hs-varid'>newAssoc</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Assoc</span>
<a name="line-98"></a> <span class='hs-varid'>newAssoc</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-varid'>isLive</span> <span class='hs-varid'>live</span><span class='hs-layout'>)</span> <span class='hs-varid'>cols</span>
<a name="line-99"></a>
<a name="line-100"></a><span class='hs-definition'>removeD</span> <span class='hs-varid'>live</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>query</span>
<a name="line-101"></a>
<a name="line-102"></a><a name="isLive"></a><span class='hs-comment'>-- | Determines if the given column (attribute/expression pair)</span>
<a name="line-103"></a><span class='hs-comment'>-- exists in the scheme given.</span>
<a name="line-104"></a><span class='hs-definition'>isLive</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Scheme</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Attribute</span><span class='hs-layout'>,</span><span class='hs-conid'>PrimExpr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-105"></a><span class='hs-definition'>isLive</span> <span class='hs-varid'>live</span> <span class='hs-layout'>(</span><span class='hs-varid'>attr</span><span class='hs-layout'>,</span><span class='hs-varid'>expr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>attr</span> <span class='hs-varop'>`elem`</span> <span class='hs-varid'>live</span>
<a name="line-106"></a>
<a name="line-107"></a><a name="schemeOf"></a><span class='hs-definition'>schemeOf</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>PrimExpr</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Assoc</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Scheme</span>
<a name="line-108"></a><span class='hs-definition'>schemeOf</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varop'>.</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span><span class='hs-layout'>)</span>
<a name="line-109"></a>
<a name="line-110"></a><a name="removeEmpty"></a><span class='hs-comment'>-- | Remove unused parts of the query</span>
<a name="line-111"></a><span class='hs-definition'>removeEmpty</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-112"></a><span class='hs-definition'>removeEmpty</span>
<a name="line-113"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldPrimQuery</span> <span class='hs-layout'>(</span><span class='hs-conid'>Empty</span><span class='hs-layout'>,</span> <span class='hs-conid'>BaseTable</span><span class='hs-layout'>,</span> <span class='hs-varid'>project</span><span class='hs-layout'>,</span> <span class='hs-varid'>restrict</span><span class='hs-layout'>,</span> <span class='hs-varid'>binary</span><span class='hs-layout'>,</span> <span class='hs-varid'>group</span><span class='hs-layout'>,</span> <span class='hs-varid'>special</span><span class='hs-layout'>)</span>
<a name="line-114"></a> <span class='hs-keyword'>where</span>
<a name="line-115"></a> <span class='hs-comment'>-- Messes up queries without a table, e.g. constant queries</span>
<a name="line-116"></a> <span class='hs-comment'>-- disabled by Bjorn Bringert 2004-04-08</span>
<a name="line-117"></a> <span class='hs-comment'>--project assoc Empty = Empty</span>
<a name="line-118"></a> <span class='hs-varid'>project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>null</span> <span class='hs-varid'>assoc</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>query</span>
<a name="line-119"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span>
<a name="line-120"></a>
<a name="line-121"></a> <span class='hs-varid'>restrict</span> <span class='hs-varid'>x</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Empty</span>
<a name="line-122"></a> <span class='hs-varid'>restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query</span>
<a name="line-123"></a>
<a name="line-124"></a> <span class='hs-varid'>special</span> <span class='hs-varid'>op</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Empty</span>
<a name="line-125"></a> <span class='hs-varid'>special</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query</span>
<a name="line-126"></a>
<a name="line-127"></a> <span class='hs-varid'>binary</span> <span class='hs-varid'>op</span> <span class='hs-conid'>Empty</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>op</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>Times</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>query</span>
<a name="line-128"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Empty</span>
<a name="line-129"></a>
<a name="line-130"></a> <span class='hs-varid'>binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>op</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>Times</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>query</span>
<a name="line-131"></a> <span class='hs-conid'>Difference</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>query</span>
<a name="line-132"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Empty</span>
<a name="line-133"></a> <span class='hs-varid'>binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query1</span> <span class='hs-varid'>query2</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query1</span> <span class='hs-varid'>query2</span>
<a name="line-134"></a> <span class='hs-varid'>group</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Empty</span>
<a name="line-135"></a> <span class='hs-varid'>group</span> <span class='hs-varid'>cols</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Group</span> <span class='hs-varid'>cols</span> <span class='hs-varid'>query</span>
<a name="line-136"></a>
<a name="line-137"></a><a name="mergeProject"></a><span class='hs-comment'>-- | Collapse adjacent projections</span>
<a name="line-138"></a><span class='hs-definition'>mergeProject</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-139"></a><span class='hs-definition'>mergeProject</span> <span class='hs-varid'>q</span>
<a name="line-140"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldPrimQuery</span> <span class='hs-layout'>(</span><span class='hs-conid'>Empty</span><span class='hs-layout'>,</span> <span class='hs-conid'>BaseTable</span><span class='hs-layout'>,</span> <span class='hs-varid'>project</span><span class='hs-layout'>,</span> <span class='hs-conid'>Restrict</span><span class='hs-layout'>,</span> <span class='hs-conid'>Binary</span><span class='hs-layout'>,</span> <span class='hs-conid'>Group</span><span class='hs-layout'>,</span> <span class='hs-conid'>Special</span><span class='hs-layout'>)</span> <span class='hs-varid'>q</span>
<a name="line-141"></a> <span class='hs-keyword'>where</span>
<a name="line-142"></a> <span class='hs-varid'>project</span> <span class='hs-varid'>assoc1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc2</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-143"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>equal</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>assoc2</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc2</span> <span class='hs-varid'>query</span>
<a name="line-144"></a> <span class='hs-keyglyph'>|</span> <span class='hs-keyword'>safe</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>query</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-layout'>(</span><span class='hs-varid'>subst</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>assoc2</span><span class='hs-layout'>)</span> <span class='hs-varid'>query</span>
<a name="line-145"></a> <span class='hs-keyword'>where</span>
<a name="line-146"></a>
<a name="line-147"></a> <span class='hs-varid'>project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Binary</span> <span class='hs-conid'>Times</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span>
<a name="line-148"></a> <span class='hs-varid'>project</span> <span class='hs-varid'>assoc</span> <span class='hs-layout'>(</span><span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>query1</span><span class='hs-layout'>)</span>
<a name="line-149"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc2</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-150"></a> <span class='hs-keyglyph'>|</span> <span class='hs-keyword'>safe</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>query1</span> <span class='hs-varop'>&&</span> <span class='hs-keyword'>safe</span> <span class='hs-varid'>assoc2</span> <span class='hs-varid'>query2</span>
<a name="line-151"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>newAssoc1</span> <span class='hs-varid'>query1</span><span class='hs-layout'>)</span>
<a name="line-152"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>newAssoc2</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span>
<a name="line-153"></a> <span class='hs-keyword'>where</span>
<a name="line-154"></a> <span class='hs-varid'>newAssoc1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>subst</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>assoc1</span>
<a name="line-155"></a> <span class='hs-varid'>newAssoc2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>subst</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>assoc2</span>
<a name="line-156"></a>
<a name="line-157"></a> <span class='hs-varid'>project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span>
<a name="line-158"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span>
<a name="line-159"></a>
<a name="line-160"></a> <span class='hs-comment'>-- Replace columns in a1 with</span>
<a name="line-161"></a> <span class='hs-comment'>-- expressions from a2. </span>
<a name="line-162"></a> <span class='hs-varid'>subst</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Assoc</span> <span class='hs-comment'>-- ^ Association that we want to change</span>
<a name="line-163"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Assoc</span> <span class='hs-comment'>-- ^ Association containing the substitutions</span>
<a name="line-164"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Assoc</span>
<a name="line-165"></a> <span class='hs-varid'>subst</span> <span class='hs-varid'>a1</span> <span class='hs-varid'>a2</span>
<a name="line-166"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>attr</span><span class='hs-layout'>,</span><span class='hs-varid'>expr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>attr</span><span class='hs-layout'>,</span> <span class='hs-varid'>substAttr</span> <span class='hs-varid'>a2</span> <span class='hs-varid'>expr</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>a1</span>
<a name="line-167"></a>
<a name="line-168"></a> <span class='hs-comment'>-- It is safe to merge two projections in two cases. </span>
<a name="line-169"></a> <span class='hs-comment'>-- 1. All columns in the outer projections are attributes, with no</span>
<a name="line-170"></a> <span class='hs-comment'>-- computation. This means they merely copy values from the inner</span>
<a name="line-171"></a> <span class='hs-comment'>-- projection to the outer and can be eliminated.</span>
<a name="line-172"></a> <span class='hs-comment'>-- 2. The inner projection does not group on any columns.</span>
<a name="line-173"></a> <span class='hs-keyword'>safe</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Assoc</span> <span class='hs-comment'>-- ^ Outer projection's columns.</span>
<a name="line-174"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span> <span class='hs-comment'>-- ^ Inner projection's query.</span>
<a name="line-175"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-176"></a> <span class='hs-keyword'>safe</span> <span class='hs-varid'>outer</span> <span class='hs-varid'>innerQuery</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>all</span> <span class='hs-varid'>isAttr</span> <span class='hs-varid'>outer</span> <span class='hs-varop'>||</span> <span class='hs-varid'>null</span> <span class='hs-layout'>(</span><span class='hs-varid'>groups</span> <span class='hs-varid'>innerQuery</span><span class='hs-layout'>)</span>
<a name="line-177"></a> <span class='hs-keyword'>where</span>
<a name="line-178"></a> <span class='hs-varid'>isAttr</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>AttrExpr</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-179"></a> <span class='hs-varid'>isAttr</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-180"></a>
<a name="line-181"></a> <span class='hs-comment'>-- Are two associations equal?</span>
<a name="line-182"></a> <span class='hs-varid'>equal</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Assoc</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Assoc</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-183"></a> <span class='hs-varid'>equal</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>assoc2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>assoc1</span> <span class='hs-varop'>==</span> <span class='hs-varid'>length</span> <span class='hs-varid'>assoc2</span> <span class='hs-varop'>&&</span>
<a name="line-184"></a> <span class='hs-layout'>(</span><span class='hs-varid'>all</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>a1</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a2</span><span class='hs-layout'>,</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'>a1</span> <span class='hs-varop'>==</span> <span class='hs-varid'>a2</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>zip</span> <span class='hs-varid'>assoc1</span> <span class='hs-varid'>assoc2</span><span class='hs-layout'>)</span>
<a name="line-185"></a> <span class='hs-comment'>-- Returns grouped columns for a projection. </span>
<a name="line-186"></a> <span class='hs-varid'>groups</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Scheme</span>
<a name="line-187"></a> <span class='hs-varid'>groups</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldPrimQuery</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>\</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span>
<a name="line-188"></a> <span class='hs-keyglyph'>\</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-varid'>restrict</span><span class='hs-layout'>,</span>
<a name="line-189"></a> <span class='hs-keyglyph'>\</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-varid'>group</span><span class='hs-layout'>,</span> <span class='hs-varid'>special</span><span class='hs-layout'>)</span>
<a name="line-190"></a> <span class='hs-keyword'>where</span>
<a name="line-191"></a> <span class='hs-varid'>restrict</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>rest</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rest</span>
<a name="line-192"></a> <span class='hs-varid'>group</span> <span class='hs-varid'>cols</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>cols</span>
<a name="line-193"></a> <span class='hs-varid'>special</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>rest</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rest</span>
<a name="line-194"></a>
<a name="line-195"></a>
<a name="line-196"></a><a name="pushRestrict"></a><span class='hs-comment'>-- | Push restrictions down through projections and binary ops.</span>
<a name="line-197"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-198"></a>
<a name="line-199"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query1</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span>
<a name="line-200"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span>
<a name="line-201"></a>
<a name="line-202"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-203"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-204"></a>
<a name="line-205"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Group</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-206"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Group</span> <span class='hs-varid'>assoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-207"></a>
<a name="line-208"></a><span class='hs-comment'>-- restricts</span>
<a name="line-209"></a>
<a name="line-210"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-211"></a> <span class='hs-keyglyph'>|</span> <span class='hs-keyword'>safe</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>expr</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-212"></a> <span class='hs-keyword'>where</span>
<a name="line-213"></a> <span class='hs-comment'>-- since we passed a project, we need to replace all attributes</span>
<a name="line-214"></a> <span class='hs-comment'>-- with the expression they are bound to by the project</span>
<a name="line-215"></a> <span class='hs-varid'>expr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>substAttr</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>x</span>
<a name="line-216"></a> <span class='hs-comment'>-- aggregate expressions are not allowed in restricts</span>
<a name="line-217"></a> <span class='hs-keyword'>safe</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>isAggregate</span> <span class='hs-varid'>expr</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'>hasAggregates</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-218"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-219"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-layout'>(</span><span class='hs-conid'>BaseTable</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-220"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>qry</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>hasAggregates</span> <span class='hs-varid'>qry</span>
<a name="line-221"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-layout'>(</span><span class='hs-conid'>Group</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-222"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-layout'>(</span><span class='hs-conid'>Binary</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>left</span> <span class='hs-varid'>right</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>hasAggregates</span> <span class='hs-varid'>left</span> <span class='hs-varop'>||</span> <span class='hs-varid'>hasAggregates</span> <span class='hs-varid'>right</span>
<a name="line-223"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>qry</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>hasAggregates</span> <span class='hs-varid'>qry</span>
<a name="line-224"></a> <span class='hs-varid'>hasAggregates</span> <span class='hs-conid'>Empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-225"></a>
<a name="line-226"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query1</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-227"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>noneIn1</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query1</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-228"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>noneIn2</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Binary</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query1</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>query2</span>
<a name="line-229"></a> <span class='hs-comment'>-- otherwise fall through</span>
<a name="line-230"></a> <span class='hs-keyword'>where</span>
<a name="line-231"></a> <span class='hs-varid'>attrs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>attrInExpr</span> <span class='hs-varid'>x</span>
<a name="line-232"></a> <span class='hs-varid'>noneIn1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>null</span> <span class='hs-layout'>(</span><span class='hs-varid'>attrs</span> <span class='hs-varop'>`intersect`</span> <span class='hs-varid'>attributes</span> <span class='hs-varid'>query1</span><span class='hs-layout'>)</span>
<a name="line-233"></a> <span class='hs-varid'>noneIn2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>null</span> <span class='hs-layout'>(</span><span class='hs-varid'>attrs</span> <span class='hs-varop'>`intersect`</span> <span class='hs-varid'>attributes</span> <span class='hs-varid'>query2</span><span class='hs-layout'>)</span>
<a name="line-234"></a>
<a name="line-235"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>query</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-236"></a> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushed</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-237"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>pushed</span>
<a name="line-238"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>pushed</span><span class='hs-layout'>)</span>
<a name="line-239"></a> <span class='hs-keyword'>where</span>
<a name="line-240"></a> <span class='hs-varid'>pushed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query</span>
<a name="line-241"></a>
<a name="line-242"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-243"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-244"></a>
<a name="line-245"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-246"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Restrict</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-247"></a>
<a name="line-248"></a>
<a name="line-249"></a><span class='hs-comment'>-- also push specials</span>
<a name="line-250"></a>
<a name="line-251"></a><span class='hs-comment'>-- Order is only pushed if it does not cause it to</span>
<a name="line-252"></a><span class='hs-comment'>-- end up with non-attribute expressions in the ordering</span>
<a name="line-253"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-layout'>(</span><span class='hs-conid'>Order</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-254"></a> <span class='hs-keyglyph'>|</span> <span class='hs-keyword'>safe</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-layout'>(</span><span class='hs-conid'>Order</span> <span class='hs-varid'>xs'</span><span class='hs-layout'>)</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-255"></a> <span class='hs-keyword'>where</span>
<a name="line-256"></a> <span class='hs-varid'>xs'</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>OrderExpr</span> <span class='hs-varid'>o</span> <span class='hs-layout'>(</span><span class='hs-varid'>substAttr</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>OrderExpr</span> <span class='hs-varid'>o</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span><span class='hs-keyglyph'>]</span>
<a name="line-257"></a> <span class='hs-keyword'>safe</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>and</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>isAggregate</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>OrderExpr</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs'</span><span class='hs-keyglyph'>]</span>
<a name="line-258"></a>
<a name="line-259"></a><span class='hs-comment'>-- Top is pushed through Project if there are no aggregates in the project</span>
<a name="line-260"></a><span class='hs-comment'>-- Aggregates can change the number of results.</span>
<a name="line-261"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-varid'>top</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Top</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-262"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>any</span> <span class='hs-varid'>isAggregate</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>snd</span> <span class='hs-varid'>assoc</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-263"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Project</span> <span class='hs-varid'>assoc</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-varid'>top</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-264"></a>
<a name="line-265"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-varid'>query</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-266"></a> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushed</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-267"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-varid'>pushed</span>
<a name="line-268"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-varid'>pushed</span><span class='hs-layout'>)</span>
<a name="line-269"></a> <span class='hs-keyword'>where</span>
<a name="line-270"></a> <span class='hs-varid'>pushed</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query</span>
<a name="line-271"></a>
<a name="line-272"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-layout'>(</span><span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-273"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Special</span> <span class='hs-varid'>op</span> <span class='hs-layout'>(</span><span class='hs-varid'>pushRestrict</span> <span class='hs-varid'>query</span><span class='hs-layout'>)</span>
<a name="line-274"></a>
<a name="line-275"></a><span class='hs-comment'>-- otherwise do nothing</span>
<a name="line-276"></a><span class='hs-definition'>pushRestrict</span> <span class='hs-varid'>query</span>
<a name="line-277"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>query</span>
<a name="line-278"></a>
<a name="line-279"></a>
<a name="line-280"></a><a name="optimizeExprs"></a><span class='hs-definition'>optimizeExprs</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimQuery</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimQuery</span>
<a name="line-281"></a><span class='hs-definition'>optimizeExprs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldPrimQuery</span> <span class='hs-layout'>(</span><span class='hs-conid'>Empty</span><span class='hs-layout'>,</span> <span class='hs-conid'>BaseTable</span><span class='hs-layout'>,</span> <span class='hs-conid'>Project</span><span class='hs-layout'>,</span> <span class='hs-varid'>restr</span><span class='hs-layout'>,</span> <span class='hs-conid'>Binary</span><span class='hs-layout'>,</span> <span class='hs-conid'>Group</span><span class='hs-layout'>,</span> <span class='hs-conid'>Special</span><span class='hs-layout'>)</span>
<a name="line-282"></a> <span class='hs-keyword'>where</span>
<a name="line-283"></a> <span class='hs-varid'>restr</span> <span class='hs-varid'>e</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsTrue</span> <span class='hs-varid'>e'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>q</span>
<a name="line-284"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Restrict</span> <span class='hs-varid'>e'</span> <span class='hs-varid'>q</span>
<a name="line-285"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>e'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>optimizeExpr</span> <span class='hs-varid'>e</span>
<a name="line-286"></a>
<a name="line-287"></a><a name="optimizeExpr"></a><span class='hs-definition'>optimizeExpr</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimExpr</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>PrimExpr</span>
<a name="line-288"></a><span class='hs-definition'>optimizeExpr</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldPrimExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>AttrExpr</span><span class='hs-layout'>,</span><span class='hs-conid'>ConstExpr</span><span class='hs-layout'>,</span><span class='hs-varid'>bin</span><span class='hs-layout'>,</span><span class='hs-varid'>un</span><span class='hs-layout'>,</span><span class='hs-conid'>AggrExpr</span><span class='hs-layout'>,</span><span class='hs-conid'>CaseExpr</span><span class='hs-layout'>,</span><span class='hs-conid'>ListExpr</span><span class='hs-layout'>,</span><span class='hs-conid'>ParamExpr</span><span class='hs-layout'>,</span><span class='hs-conid'>FunExpr</span><span class='hs-layout'>,</span> <span class='hs-conid'>CastExpr</span><span class='hs-layout'>)</span>
<a name="line-289"></a> <span class='hs-keyword'>where</span>
<a name="line-290"></a> <span class='hs-varid'>bin</span> <span class='hs-conid'>OpAnd</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span>
<a name="line-291"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsFalse</span> <span class='hs-varid'>e1</span> <span class='hs-varop'>||</span> <span class='hs-varid'>exprIsFalse</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>exprFalse</span>
<a name="line-292"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsTrue</span> <span class='hs-varid'>e1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e2</span>
<a name="line-293"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsTrue</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e1</span>
<a name="line-294"></a> <span class='hs-varid'>bin</span> <span class='hs-conid'>OpOr</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span>
<a name="line-295"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsTrue</span> <span class='hs-varid'>e1</span> <span class='hs-varop'>||</span> <span class='hs-varid'>exprIsTrue</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>exprTrue</span>
<a name="line-296"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsFalse</span> <span class='hs-varid'>e1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e2</span>
<a name="line-297"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>exprIsFalse</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>e1</span>
<a name="line-298"></a> <span class='hs-varid'>bin</span> <span class='hs-conid'>OpIn</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>ListExpr</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>exprFalse</span>
<a name="line-299"></a> <span class='hs-varid'>bin</span> <span class='hs-varid'>op</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>BinExpr</span> <span class='hs-varid'>op</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span>
<a name="line-300"></a>
<a name="line-301"></a> <span class='hs-varid'>un</span> <span class='hs-conid'>OpNot</span> <span class='hs-layout'>(</span><span class='hs-conid'>ConstExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoolLit</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ConstExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoolLit</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-302"></a> <span class='hs-varid'>un</span> <span class='hs-varid'>op</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>UnExpr</span> <span class='hs-varid'>op</span> <span class='hs-varid'>e</span>
<a name="line-303"></a>
<a name="line-304"></a><a name="exprTrue"></a><span class='hs-definition'>exprTrue</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimExpr</span>
<a name="line-305"></a><span class='hs-definition'>exprTrue</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ConstExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoolLit</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span>
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<a name="line-307"></a><a name="exprFalse"></a><span class='hs-definition'>exprFalse</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimExpr</span>
<a name="line-308"></a><span class='hs-definition'>exprFalse</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ConstExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoolLit</span> <span class='hs-conid'>False</span><span class='hs-layout'>)</span>
<a name="line-309"></a>
<a name="line-310"></a><a name="exprIsTrue"></a><span class='hs-definition'>exprIsTrue</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimExpr</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-311"></a><span class='hs-definition'>exprIsTrue</span> <span class='hs-layout'>(</span><span class='hs-conid'>ConstExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoolLit</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-312"></a><span class='hs-definition'>exprIsTrue</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-313"></a>
<a name="line-314"></a><a name="exprIsFalse"></a><span class='hs-definition'>exprIsFalse</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrimExpr</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-315"></a><span class='hs-definition'>exprIsFalse</span> <span class='hs-layout'>(</span><span class='hs-conid'>ConstExpr</span> <span class='hs-layout'>(</span><span class='hs-conid'>BoolLit</span> <span class='hs-conid'>False</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-316"></a><span class='hs-definition'>exprIsFalse</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
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