The next week of lectures
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@ -219,7 +219,7 @@ For each week:
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<section>
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<h3>Relational Algebra</h3>
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<img src="graphics/2019 -02-04-RA-Tree.svg" />
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<img src="graphics/2019-02-04-RA-Tree.svg" />
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$$\pi_{R.A}(\sigma_{S.C=10}(\bowtie_{R.B = S.B}(\textbf{R}, \textbf{S})))$$
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</section>
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@ -325,7 +325,7 @@ For each week:
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<h3>Selection ($\sigma_{c}$)</h3>
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<p>Delete rows that fail the condition $c$.</p>
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<div class="fragment">
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$$\sigma_{(BORONAME = \texttt{'Brooklyn'})} \textbf{Trees}$$
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$$\sigma_{(\textbf{BORONAME} = \texttt{'Brooklyn'})} \textbf{Trees}$$
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<table style="font-size: small; margin-top: 30px;">
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<tr><th>TREE_ID</th><th>SPC_COMMON</th><th>BORONAME</th><th>...</th></tr>
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<tr><td>204026</td><td>'honeylocust'</td><td>'Brooklyn'</td><td>...</td></tr>
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@ -336,6 +336,11 @@ For each week:
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<tr><td style="font-weight: bold;" colspan="4">... and 177287 more</td></tr>
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</table>
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</div>
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<div class="fragment">
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<pre><code class="sql">
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SELECT * FROM Trees [[ WHERE BORONAME = 'Brooklyn' ]]
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</code></pre>
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</div>
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</section>
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<section>
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@ -343,7 +348,7 @@ For each week:
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<p>Delete attributes not in the projection list $A$.</p>
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<div class="fragment">
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$$\pi_{BORONAME}(Trees)$$
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$$\pi_{\textbf{BORONAME}}(Trees)$$
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<table style="font-size: small; margin-top: 30px;">
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<tr><th>BORONAME</th></tr>
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<tr><td>Queens</td></tr>
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@ -356,14 +361,19 @@ For each week:
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<p class="fragment">Only 5 results... not 683788?</p>
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<p class="fragment">Set and Bag Projection are different</p>
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<div class="fragment">
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<pre><code class="sql">
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SELECT [[ DISTINCT BORONAME ]] FROM Trees;
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</code></pre>
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</div>
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</section>
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<section>
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<h3>Reminder: Queries are Relations</h3>
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<p>What are these queries schemas?</p>
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<div class="fragment" style="margin-top: 50px;">$$\pi_{TREEID, SPC\_COMMON, BORONAME} \textbf{Trees}$$</div>
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<div class="fragment" style="margin-top: 50px;">$$\sigma_{(BORONAME = \texttt{'Brooklyn'})} \textbf{Trees}$$</div>
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<div class="fragment" style="margin-top: 50px;">$$\sigma_{(BORONAME = \texttt{'Brooklyn'})}(\pi_{TREEID, SPC\_COMMON, BORONAME} \textbf{Trees})$$</div>
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<div class="fragment" style="margin-top: 50px;">$$\pi_{\textit{TREEID},\ \textit{SPC_COMMON},\ \textit{BORONAME}} \textbf{Trees}$$</div>
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<div class="fragment" style="margin-top: 50px;">$$\sigma_{(\textit{BORONAME} = \texttt{'Brooklyn'})} \textbf{Trees}$$</div>
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<div class="fragment" style="margin-top: 50px;">$$\sigma_{(\textit{BORONAME} = \texttt{'Brooklyn'})}(\pi_{\textit{TREEID},\ \textit{SPC_COMMON},\ \textit{BORONAME}} \textbf{Trees})$$</div>
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</section>
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<section>
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@ -491,7 +501,7 @@ For each week:
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<p style="font-size: 60%">(Which operators behave differently in Set- and Bag-RA?)</p>
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<table>
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<tr ><th>Operator </th><th>Symbol </th><th >Duplicates?</th></tr>
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<tr ><th>Operator </th><th>Symbol </th><th >Creates Duplicates?</th></tr>
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<tr ><td>Selection </td><td>$\sigma$ </td><td class="fragment" style="color: darkred;">No</td></tr>
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<tr class="fragment"><td>Projection </td><td>$\pi$ </td><td class="fragment" style="color: darkgreen;">Yes</td></tr>
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<tr class="fragment"><td>Cross-product </td><td>$\times$ </td><td class="fragment" style="color: darkred;">No</td></tr>
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@ -532,47 +542,71 @@ For each week:
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</section>
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<section>
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<h3>Division ($/$)</h3>
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<section>
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<h3>Division ($/$)</h3>
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<p>Not typically supported as a primitive operator,<br/>but useful for expressing queries like:</p>
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<p style="font-size: 70%; font-weight: bold">Find species that appear in all boroughs</p>
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<div style="font-size: 70%">
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$$\pi_{BORONAME,\ SPC\_COMMON}(\textbf{Trees}) \;\;/\;\;\pi_{SPC\_COMMON}(\textbf{Trees})$$
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(using set relational algebra)
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</div>
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<p>
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$$R / S \equiv \{\; \left<\vec t\right> \;|\; \forall \left<\vec s\right> \in S, \left< \vec t \vec s \right> \in R \;\}$$
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</p>
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<p>Not typically supported as a primitive operator,<br/>but useful for expressing queries like:</p>
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<p style="font-size: 70%; font-weight: bold">Find species that appear in all boroughs</p>
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<div style="font-size: 70%">
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$$\pi_{BORONAME,\ SPC\_COMMON}(\textbf{Trees}) \;\;/\;\;\pi_{SPC\_COMMON}(\textbf{Trees})$$
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(using set relational algebra)
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</div>
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<p>
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$$R / S \equiv \{\; \left<\vec t\right> \;|\; \forall \left<\vec s\right> \in S, \left< \vec t \vec s \right> \in R \;\}$$
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</p>
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</section>
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<section>
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<h3>Division ($/$)</h3>
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<table style="font-size: 60%; margin-top: 30px; display: inline-block; vertical-align: middle;">
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<tr><th>BORO</th> <th>SPC_COMMON</th></tr>
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<tr class="fragment highlight-blue" data-fragment-index="1"><td>Brooklyn</td> <td>honeylocust</td></tr>
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<tr class="fragment highlight-red" data-fragment-index="3"><td>Brooklyn</td> <td>American linden</td></tr>
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<tr><td>Brooklyn</td> <td>London planetree</td></tr>
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<tr class="fragment highlight-blue" data-fragment-index="1"><td>Manhattan</td> <td>honeylocust</td></tr>
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<tr class="fragment highlight-red" data-fragment-index="3"><td>Manhattan</td> <td>American linden</td></tr>
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<tr class="fragment highlight-green" data-fragment-index="5"><td>Manhattan</td> <td>pin oak</td></tr>
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<tr class="fragment highlight-blue" data-fragment-index="1"><td>Queens</td> <td>honeylocust</td></tr>
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<tr class="fragment highlight-red" data-fragment-index="3"><td>Queens</td> <td>American linden</td></tr>
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<tr class="fragment highlight-blue" data-fragment-index="1"><td>Bronx</td> <td>honeylocust</td></tr>
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</table>
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<table style="font-size: 40%; margin-left: 30px; display: inline-block; vertical-align: middle;">
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<tr class="fragment" data-fragment-index="1"><td>
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<span style="font-size: 200%">/</span>
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<table style="display: inline-block; vertical-align: middle; margin-left: 10px; border: 1px solid black;"><tr><th>SPC_COMMON</th></tr><tr><td class="fragment highlight-current-blue" data-fragment-index="1">honeylocust</td></tr></table>
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<span class="fragment" data-fragment-index="2">
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<span style="font-size: 200%; margin-left: 10px;">=</span>
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<table style="display: inline-block; vertical-align: middle; margin-left: 10px; border: 1px solid black;"><tr><th>BORO</th></tr><tr><td>Brooklyn</td></tr><tr><td>Manhattan</td></tr><tr><td>Queens</td></tr><tr><td>Bronx</td></tr></table>
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</span>
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</td></tr>
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<tr class="fragment" data-fragment-index="3"><td>
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<span style="font-size: 200%">/</span>
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<table style="display: inline-block; vertical-align: middle; margin-left: 10px; border: 1px solid black;"><tr><th>SPC_COMMON</th></tr><tr><td class="fragment highlight-current-blue" data-fragment-index="3">honeylocust</td></tr><tr><td class="fragment highlight-current-red" data-fragment-index="3">American linden</td></tr></table>
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<span class="fragment" data-fragment-index="4">
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<span style="font-size: 200%; margin-left: 10px;">=</span>
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<table style="display: inline-block; vertical-align: middle; margin-left: 10px; border: 1px solid black;"><tr><th>BORO</th></tr><tr><td>Brooklyn</td></tr><tr><td>Manhattan</td></tr><tr><td>Queens</td></tr></table>
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</span>
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</td></tr>
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<tr class="fragment" data-fragment-index="5"><td>
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<span style="font-size: 200%">/</span>
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<table style="display: inline-block; vertical-align: middle; margin-left: 10px; border: 1px solid black;"><tr><th>SPC_COMMON</th></tr><tr><td class="fragment highlight-current-blue" data-fragment-index="5">honeylocust</td></tr><tr><td class="fragment highlight-current-red" data-fragment-index="5">American linden</td></tr><tr><td class="fragment highlight-current-green" data-fragment-index="5">pin oak</td></tr></table>
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<span class="fragment" data-fragment-index="6">
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<span style="font-size: 200%; margin-left: 10px;">=</span>
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<table style="display: inline-block; vertical-align: middle; margin-left: 10px; border: 1px solid black;"><tr><th>BORO</th></tr><tr><td>Manhattan</td></tr></table>
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</span>
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</td></tr>
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</table>
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</section>
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<section>
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<h3>Group Work</h3>
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<p>If time permits: Implement division using other operators.</p>
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</section>
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</section>
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<section>
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<table style="font-size: small; margin-top: 30px; display: inline-block; vertical-align: middle;">
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<tr><th>BORO</th> <th>SPC_COMMON</th></tr>
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<tr><td>Brooklyn</td> <td>honeylocust</td></tr>
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<tr><td>Brooklyn</td> <td>American linden</td></tr>
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<tr><td>Brooklyn</td> <td>London planetree</td></tr>
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<tr><td>Manhattan</td> <td>honeylocust</td></tr>
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<tr><td>Manhattan</td> <td>American linden</td></tr>
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<tr><td>Manhattan</td> <td>pin oak</td></tr>
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<tr><td>Queens</td> <td>honeylocust</td></tr>
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<tr><td>Queens</td> <td>American linden</td></tr>
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<tr><td>Bronx</td> <td>honeylocust</td></tr>
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</table>
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<table style="font-size: 40%; margin-left: 30px; display: inline-block; vertical-align: middle;">
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<tr class="fragment"><td style="text-align: left; padding-bottom: 30px;">/ { honeylocust }</td> <td style="text-align: left;">= Brooklyn, Manhattan, Queens, Bronx</td></tr>
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<tr class="fragment"><td style="text-align: left; padding-bottom: 30px;">/ { honeylocust, American linden }</td> <td style="text-align: left;">= Brooklyn, Manhattan, Queens</td></tr>
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<tr class="fragment"><td style="text-align: left; padding-bottom: 30px;">/ { honeylocust, American linden, pin oak }</td><td style="text-align: left;">= Manhattan</td></tr>
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</table>
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</section>
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<section>
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<h3>Group Work</h3>
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<p>If time permits: Implement division using other operators.</p>
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</section>
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</section>
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<section>
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<section>
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<h3>Relational Algebra</h3>
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<p>
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@ -586,6 +620,7 @@ For each week:
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</p>
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</section>
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</div></div>
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<script src="../reveal.js-3.6.0/js/reveal.js"></script>
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464
slides/cse4562sp2019/2019-02-06-RA-Equivs.html
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slides/cse4562sp2019/2019-02-06-RA-Equivs.html
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<!doctype html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<title>CSE 4/562</title>
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<meta name="description" content="CSE 4/562">
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<meta name="author" content="Oliver Kennedy">
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<meta name="apple-mobile-web-app-capable" content="yes" />
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<meta name="apple-mobile-web-app-status-bar-style" content="black-translucent" />
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<script src="../reveal.js-3.6.0/lib/js/html5shiv.js"></script>
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<![endif]-->
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<body>
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<div class="reveal">
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<!-- Any section element inside of this container is displayed as a slide -->
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<div class="header">
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<!-- Any Talk-Specific Header Content Goes Here -->
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CSE 4/562 - Database Systems
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</div>
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<div class="slides">
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<section>
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<h2>Relational Algebra Equivalences</h2>
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<h3>CSE 4/562 – Database Systems</h3>
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<h5>February 6, 2019</h5>
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<h5><b>Textbook</b>: Ch. 16.2</h5>
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</section>
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<section>
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<section>
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<h3>The running theme</h3>
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<p>
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<span class="fragment highlight-grey" data-fragment-index="1">If X and Y are </span><u>equivalent</u><span class="fragment highlight-grey" data-fragment-index="1"> and Y is <u>better</u>,<br/>
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then replace all Xs with Ys</span>
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</p>
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<p class="fragment" data-fragment-index="1" style="font-size: 70%;"><b>Today's focus</b>: Provable Equivalence for RA Expressions</p>
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</section>
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<section>
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<h3>Equivalence</h3>
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$$Q_1 = \pi_{A}\left( \sigma_{c}( R ) \right)$$
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$$Q_2 = \sigma_{c}\left( \pi_{A}( R ) \right)$$
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<div class="fragment">
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$$Q_1 \stackrel{?}{\equiv} Q_2$$
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</div>
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</section>
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<section>
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<h3>Ground Rules</h3>
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<dl>
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<dt class="fragment" data-fragment-index="1">Only Relational Values Matter</dt>
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<dd class="fragment" data-fragment-index="1">Obviously $Q_1 \neq Q_2$. What we care about is whether $Q_1(R) = Q_2(R)$...</dd>
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<dt class="fragment" data-fragment-index="2">Data Independent</dt>
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<dd class="fragment" data-fragment-index="2">... for <i>all</i> valid input data $R$.</dd>
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<dd class="fragment" data-fragment-index="3" style="font-size: 70%">However, it's fair to talk about equivalence when we know the data has some properties. (more on this later)</dd>
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<dt class="fragment" data-fragment-index="4">Data-Model Dependent</dt>
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<dd class="fragment" data-fragment-index="4">It's important to be clear whether we're talking about sets, <span class="fragment highlight-blue">bags</span>, or lists.</dd>
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</dl>
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</section>
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<section>
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<h3>In summary...</h3>
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<p style="font-size: 80%;">
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We say that $Q_1 \equiv Q_2$ if and only if<br/>
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we can guarantee that the <i>bag</i> of tuples produced by $Q_1(R, S, T, \ldots)$ <br/>
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is the same as the <i>bag</i> of tuples produced by $Q_2(R, S, T, \ldots)$ <br/>
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for any combination of valid inputs $R, S, T, \ldots$.
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</p>
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<p style="font-size: 70%;" class="fragment">
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... that satisfy any necessary properties.
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</p>
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</section>
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<section>
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<h3>Starting Rules</h3>
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<table style="font-size: 80%">
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<tr><th colspan="2" style="padding-top: 20px;">Selection</th></tr>
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<tr>
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<td>$\sigma_{c_1 \wedge c_2}(R) \equiv \sigma_{c_1}(\sigma_{c_2}(R))$</td>
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<td>(Decomposability)</td>
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</tr>
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<tr><th colspan="2" style="padding-top: 20px;">Projection</th></tr>
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<tr>
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<td>$\pi_{A}(R) \equiv \pi_{A}(\pi_{A \cup B}(R))$</td>
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<td>(Idempotence)</td>
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</tr>
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<tr><th colspan="2" style="padding-top: 20px;">Cross Product</th></tr>
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<tr>
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<td>$R \times (S \times T) \equiv (R \times S) \times T$</td>
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<td>(Associativity)</td>
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</tr>
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<tr>
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<td>$R \times S \equiv S \times R$</td>
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<td>(Commutativity)</td>
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</tr>
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<tr><th colspan="2" style="padding-top: 20px;">Union</th></tr>
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<tr>
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<td>$R \cup (S \cup T) \equiv (R \cup S) \cup T$</td>
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<td>(Associativity)</td>
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</tr>
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<tr>
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<td>$R \cup S \equiv S \cup R$</td>
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<td>(Commutativity)</td>
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</tr>
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</table>
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</section>
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<section>
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<h3>Try it!</h3>
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<p class="fragment highlight-grey" data-fragment-index="1">
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Show that
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$$R \times (S \times T) \equiv T \times (S \times R)$$
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</p>
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<div class="fragment highlight-grey" data-fragment-index="2">
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<p class="fragment" data-fragment-index="1">
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Show that
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$$\sigma_{c_1}(\sigma_{c_2}(R)) \equiv \sigma_{c_2}(\sigma_{c_1}(R))$$
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</p>
|
||||
</div>
|
||||
|
||||
<div class="fragment highlight-grey" data-fragment-index="3">
|
||||
<p class="fragment" data-fragment-index="2">
|
||||
Show that
|
||||
$$R \bowtie_{c} S \equiv S \bowtie_{c} R$$
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<p class="fragment" data-fragment-index="3">
|
||||
Show that
|
||||
$$\sigma_{R.B = S.B \wedge R.A > 3}(R \times S) \equiv \sigma_{R.A > 3}(R \bowtie_{B} S)$$
|
||||
</p>
|
||||
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<section>
|
||||
<h3>Rules for Multiple Operators</h3>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<table style="font-size: 90%; margin-bottom: 50px;">
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Selection + Projection</th></tr>
|
||||
<tr>
|
||||
<td>$\pi_{A}(\sigma_{c}(R)) \equiv \sigma_{c}(\pi_{A}(R))$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
</table>
|
||||
<p style="font-size: 80%;" class="fragment">... but only if $A$ and $c$ are <u>compatible</u></p>
|
||||
<p style="font-size: 80%;" class="fragment">$A$ must include all columns referenced by $c$ ($cols(c)$)</p>
|
||||
|
||||
<div class="fragment" style="margin-top: 50px;">
|
||||
<h3>Try it!</h3>
|
||||
<p>
|
||||
Show that
|
||||
$$\pi_A(\sigma_c(R)) \equiv \pi_A(\sigma_c(\pi_{(A \cup cols(c))}(R)))$$
|
||||
</p>
|
||||
</div>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<table style="font-size: 90%; margin-bottom: 50px;">
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Selection + Cross Product</th></tr>
|
||||
<tr>
|
||||
<td>$\sigma_c(R \times S) \equiv (\sigma_{c}(R)) \times S$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
</table>
|
||||
<p style="font-size: 80%;" class="fragment">... but only if $c$ references only columns of $R$</p>
|
||||
<p style="font-size: 60%;" class="fragment">$cols(c) \subseteq cols(R)$</p>
|
||||
|
||||
<div class="fragment" style="margin-top: 50px;">
|
||||
<h3>Try it!</h3>
|
||||
<p>
|
||||
Show that
|
||||
$$\sigma_{R.B = S.B \wedge R.A > 3}(R \times S) \equiv (\sigma_{R.A > 3}(R)) \bowtie_{B} S$$
|
||||
<div style="font-size: 70%;" class="fragment">When is this rewrite a good idea?</div>
|
||||
</p>
|
||||
</div>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<table style="font-size: 90%; margin-bottom: 50px;">
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Projection + Cross Product</th></tr>
|
||||
<tr>
|
||||
<td>$\pi_A(R \times S) \equiv (\pi_{A_R}(R)) \times (\pi_{A_S}(S))$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
</table>
|
||||
<p style="font-size: 80%;">... where $A_R$ and $A_S$ are the columns of $A$ from $R$ and $S$ respectively.</p>
|
||||
<p style="font-size: 60%;">$A_R = A \cap cols(R)$ $A_S = A \cap cols(S)$</p>
|
||||
|
||||
<div class="fragment" style="margin-top: 50px;">
|
||||
<h3>Try it!</h3>
|
||||
<p>
|
||||
Show that
|
||||
$$\pi_{A}(R \bowtie_c S) \equiv (\pi_{A_R}(R)) \bowtie_c (\pi_{A_S}(S))$$
|
||||
<div style="font-size: 70%;" class="fragment">When does this condition hold?</div>
|
||||
</p>
|
||||
</div>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<table style="font-size: 80%; margin-bottom: 50px;">
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Intersection</th></tr>
|
||||
<tr>
|
||||
<td>$R \cap (S \cap T) \equiv (R \cap S) \cap T$</td>
|
||||
<td>(Associativity)</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td>$R \cap S \equiv S \cap R$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Selection + <u> </u></th></tr>
|
||||
<tr>
|
||||
<td>$\sigma_c(R \cup S) \equiv (\sigma_c(R)) \cup (\sigma_c(R))$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td>$\sigma_c(R \cap S) \equiv (\sigma_c(R)) \cap (\sigma_c(R))$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Projection + <u> </u></th></tr>
|
||||
<tr>
|
||||
<td>$\pi_A(R \cup S) \equiv (\pi_A(R)) \cup (\pi_A(R))$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td>$\pi_A(R \cap S) \equiv (\pi_A(R)) \cap (\pi_A(R))$</td>
|
||||
<td>(Commutativity)</td>
|
||||
</tr>
|
||||
<tr><th colspan="2" style="padding-top: 20px;">Cross Product + Union</th></tr>
|
||||
<tr>
|
||||
<td>$R \times (S \cup T) \equiv (R \times S) \cup (R \times T)$</td>
|
||||
<td>(Distributivity)</td>
|
||||
</tr>
|
||||
</table>
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<section>
|
||||
<h3>Example</h3>
|
||||
<pre style="display: inline-block; width: 300px; vertical-align: middle;"><code class="sql">
|
||||
SELECT R.A, T.E
|
||||
|
||||
FROM R, S, T
|
||||
|
||||
WHERE R.B = S.B
|
||||
AND S.C < 5
|
||||
AND S.D = T.D
|
||||
</code></pre>
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-1.svg" style="vertical-align: middle;"/>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<img src="graphics/2019-02-06-RA-Opt-1.svg" style="vertical-align: middle;" />
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-2.svg" style="vertical-align: middle;"/>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<img src="graphics/2019-02-06-RA-Opt-2.svg" style="vertical-align: middle;" />
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-3.svg" style="vertical-align: middle;" />
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<img src="graphics/2019-02-06-RA-Opt-3.svg" style="vertical-align: middle;" />
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-4.svg" style="vertical-align: middle;" />
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<img src="graphics/2019-02-06-RA-Opt-4.svg" style="vertical-align: middle;" />
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-5.svg" style="vertical-align: middle;" />
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<img src="graphics/2019-02-06-RA-Opt-5.svg" style="vertical-align: middle;" />
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-6.svg" style="vertical-align: middle;" />
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<img src="graphics/2019-02-06-RA-Opt-6.svg" style="vertical-align: middle;" />
|
||||
<span style="vertical-align: middle; margin: 50px; font-size: 300%">➔</span>
|
||||
<img src="graphics/2019-02-06-RA-Opt-7.svg" style="vertical-align: middle;" />
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<section>
|
||||
<h3>General Query Optimizers</h3>
|
||||
|
||||
<p><b>Input:</b> Dumb translation of SQL to RA</p>
|
||||
<p>⬇︎</p>
|
||||
<p>Apply rewrites</p>
|
||||
<p>⬇︎</p>
|
||||
<p><b>Output:</b> Better, but equivalent query</p>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<p>Which rewrite rules should we apply?</p>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<dl style="font-size: 75%">
|
||||
<dt class="fragment highlight-grey" data-fragment-index="2">Selection Pushdown</dt>
|
||||
<dd class="fragment highlight-grey" data-fragment-index="2"><b>Always</b> commute Selections as close to the leaves as possible.</dd>
|
||||
|
||||
<dt class="fragment highlight-grey" data-fragment-index="2">Join Construction</dt>
|
||||
<dd class="fragment highlight-grey" data-fragment-index="2">Joins are <b>always</b> better than cross-products. <span class="fragment" data-fragment-index="1">(if there's a good join algorithm)</span></dd>
|
||||
|
||||
<dt class="fragment highlight-grey" data-fragment-index="2">(Optional) Projection Pushdown</dt>
|
||||
<dd class="fragment highlight-grey" data-fragment-index="2">Commuting Projections down to the leaves removes redundant columns, and <b>may</b> be beneficial for some systems.</dd>
|
||||
|
||||
<dt>Join Algorithm Selection</dt>
|
||||
<dd>Joins can be implemented differently, depending on the join predicate.</dd>
|
||||
|
||||
<dt>Join/Union Ordering</dt>
|
||||
<dd>The order in which joins are evaluated <b>may</b> affect query runtimes.</dd>
|
||||
|
||||
<dt>Access Paths</dt>
|
||||
<dd>$(\sigma_c(R))$ and $(Q(\ldots) \bowtie_c R)$ are special cases that we can make fast!</dd>
|
||||
</dl>
|
||||
<p class="fragment" data-fragment-index="2" style="font-size: 60%">Some rewrites are situational... we need more information to decide when to apply them.</p>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<h3>General Query Optimizers</h3>
|
||||
<ol style="font-size: 60%">
|
||||
<li class="fragment" data-fragment-index="1">Apply blind heuristics (e.g., push down selections)</li>
|
||||
<li class="fragment" data-fragment-index="2">Enumerate all possible <i>execution plans</i> by varying <span class="fragment" data-fragment-index="3" style="font-size: 80%;">(or for a reasonable subset)</span>
|
||||
<ul>
|
||||
<li>Join/Union Evaluation Order (commutativity, associativity, distributivity)</li>
|
||||
<li class="fragment" data-fragment-index="4">Algorithms for Joins, Aggregates, Sort, Distinct, and others</span></li>
|
||||
<li class="fragment" data-fragment-index="4">Data Access Paths</li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="fragment" data-fragment-index="5">Estimate the cost of each execution plan</li>
|
||||
<li class="fragment" data-fragment-index="6">Pick the execution plan with the lowest cost</li>
|
||||
</ol>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<b>Next Class:</b> Extended Relational Algebra and Basic Join Algorithms
|
||||
</section>
|
||||
</section>
|
||||
|
||||
|
||||
</div></div>
|
||||
|
||||
<script src="../reveal.js-3.6.0/js/reveal.js"></script>
|
||||
|
||||
<script>
|
||||
|
||||
// Full list of configuration options available at:
|
||||
// https://github.com/hakimel/../reveal.js#configuration
|
||||
Reveal.initialize({
|
||||
controls: false,
|
||||
progress: true,
|
||||
history: true,
|
||||
center: true,
|
||||
slideNumber: true,
|
||||
|
||||
transition: 'fade', // none/fade/slide/convex/concave/zoom
|
||||
|
||||
chart: {
|
||||
defaults: {
|
||||
global: {
|
||||
title: { fontColor: "#333", fontSize: 24 },
|
||||
legend: {
|
||||
labels: { fontColor: "#333", fontSize: 20 },
|
||||
},
|
||||
responsiveness: true
|
||||
},
|
||||
scale: {
|
||||
scaleLabel: { fontColor: "#333", fontSize: 20 },
|
||||
gridLines: { color: "#333", zeroLineColor: "#333" },
|
||||
ticks: { fontColor: "#333", fontSize: 16 },
|
||||
}
|
||||
},
|
||||
line: { borderColor: [ "rgba(20,220,220,.8)" , "rgba(220,120,120,.8)", "rgba(20,120,220,.8)" ], "borderDash": [ [5,10], [0,0] ]},
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bar: { backgroundColor: [
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||||
"rgba(220,220,220,0.8)",
|
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"rgba(151,187,205,0.8)",
|
||||
"rgba(205,151,187,0.8)",
|
||||
"rgba(187,205,151,0.8)"
|
||||
]
|
||||
},
|
||||
pie: { backgroundColor: [ ["rgba(0,0,0,.8)" , "rgba(220,20,20,.8)", "rgba(20,220,20,.8)", "rgba(220,220,20,.8)", "rgba(20,20,220,.8)"] ]},
|
||||
radar: { borderColor: [ "rgba(20,220,220,.8)" , "rgba(220,120,120,.8)", "rgba(20,120,220,.8)" ]},
|
||||
},
|
||||
|
||||
// Optional ../reveal.js plugins
|
||||
dependencies: [
|
||||
{ src: '../reveal.js-3.6.0/lib/js/classList.js', condition: function() { return !document.body.classList; } },
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
{ src: '../reveal.js-3.6.0/plugin/markdown/markdown.js', condition: function() { return !!document.querySelector( '[data-markdown]' ); } },
|
||||
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|
||||
{ src: '../reveal.js-3.6.0/plugin/zoom-js/zoom.js', async: true },
|
||||
{ src: '../reveal.js-3.6.0/plugin/notes/notes.js', async: true },
|
||||
// Chart.min.js
|
||||
{ src: '../reveal.js-3.6.0/plugin/chart/Chart.min.js'},
|
||||
// the plugin
|
||||
{ src: '../reveal.js-3.6.0/plugin/chart/csv2chart.js'},
|
||||
{ src: '../reveal.js-3.6.0/plugin/svginline/es6-promise.auto.js', async: false },
|
||||
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|
||||
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|
||||
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|
||||
|
||||
</script>
|
||||
|
||||
</body>
|
||||
</html>
|
||||
|
|
@ -55,156 +55,449 @@
|
|||
|
||||
<section>
|
||||
<section>
|
||||
<h1>Intro</h1>
|
||||
<h2>Checkpoint 1</h2>
|
||||
<h3>CSE 4/562 – Database Systems</h3>
|
||||
<h5>February 01, 2019</h5>
|
||||
<h5>February 8, 2019</h5>
|
||||
<h5><b>Textbook</b>: Ch. 16.1</h5>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<ul>
|
||||
<li>Using CCJSQLParser</li>
|
||||
<li>Using SQL ASTs</li>
|
||||
<li>Select Statements</li>
|
||||
<li>Create Table Statements</li>
|
||||
</ul>
|
||||
<ul>
|
||||
<li>Requirements Overview</li>
|
||||
<li><tt>CREATE TABLE</tt></li>
|
||||
<li>Volcano Evaluation</li>
|
||||
<li>EvalLib</li>
|
||||
</ul>
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<section>
|
||||
<h2>Using CCJSqlParser</h2>
|
||||
<section>
|
||||
<h2>Checkpoint 1</h2>
|
||||
|
||||
<pre><code class="java">
|
||||
// StringReaders create a reader from a string
|
||||
Reader input = new StringReader("SELECT * FROM R")
|
||||
<svg width="900px" height="300px">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Window.png" width="900px" height="24px" />
|
||||
<rect x="0" y="24" fill="black" width="900px" height="276px" />
|
||||
<g transform="translate(0,44)">
|
||||
<text x="5" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">sif$</text>
|
||||
<g class="fragment">
|
||||
<text x="50" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">javac -cp build:jsqlparser.jar:evallib.jar -D build {all .java files}</text>
|
||||
<text x="5" y="20" font-size="12pt" font-family="Courier" fill="#00ff00" class="fragment">sif$</text>
|
||||
</g>
|
||||
</g>
|
||||
<g transform="translate(0,64)" class="fragment">
|
||||
<text x="50" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">ls data/</text>
|
||||
<text x="5" y="20" font-size="12pt" font-family="Courier" fill="#00ff00">R.csv S.csv T.csv</text>
|
||||
<text x="5" y="40" font-size="12pt" font-family="Courier" fill="#00ff00">sif$</text>
|
||||
</g>
|
||||
<g transform="translate(0,104)" class="fragment">
|
||||
<text x="50" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">head -n 2 data/R.csv</text>
|
||||
<text x="5" y="20" font-size="12pt" font-family="Courier" fill="#00ff00">1|3|5</text>
|
||||
<text x="5" y="40" font-size="12pt" font-family="Courier" fill="#00ff00">2|9|1</text>
|
||||
<text x="5" y="60" font-size="12pt" font-family="Courier" fill="#00ff00">sif$</text>
|
||||
</g>
|
||||
<g transform="translate(0,164)" class="fragment">
|
||||
<text x="50" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">java -cp build:jsqlparser.jar:evallib.jar dubstep.Main
-</text>
|
||||
<text x="5" y="20" font-size="12pt" font-family="Courier" fill="#00ff00">$></text>
|
||||
</g>
|
||||
<g transform="translate(0, 184)" class="fragment">
|
||||
<text x="30" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">CREATE TABLE R(A int, B int, C int);</text>
|
||||
<text x="5" y="20" font-size="12pt" font-family="Courier" fill="#00ff00">$></text>
|
||||
</g>
|
||||
<g transform="translate(0, 204)" class="fragment">
|
||||
<text x="30" y="0" font-size="12pt" font-family="Courier" fill="#00ff00">SELECT A, C FROM R WHERE B < 5;</text>
|
||||
<text x="5" y="20" font-size="12pt" font-family="Courier" fill="#00ff00">1|5</text>
|
||||
<text x="5" y="40" font-size="12pt" font-family="Courier" fill="#00ff00">...</text>
|
||||
<text x="5" y="60" font-size="12pt" font-family="Courier" fill="#00ff00">$></text>
|
||||
</g>
|
||||
</svg>
|
||||
</section>
|
||||
<section>
|
||||
<h2>Checkpoint 1</h2>
|
||||
<ul>
|
||||
<li>Your code compiled just the same as in Checkpoint 0.</li>
|
||||
<li>Print a prompt '$>' at the start and after each command.</li>
|
||||
<li><tt>CREATE TABLE</tt> statements tell you the schema of each table.</li>
|
||||
<li>Data lives in a '|'-separated file in 'data/[tablename].csv'</li>
|
||||
<li>Print query results '|'-separated</li>
|
||||
</ul>
|
||||
</section>
|
||||
</section>
|
||||
<section>
|
||||
<section>
|
||||
<svg width="800" height="100">
|
||||
<g transform="translate(0,20)">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Server.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">→ SQL</text>
|
||||
</g>
|
||||
</svg>
|
||||
<pre><code class="sql">CREATE TABLE PLAYERS(
|
||||
ID string,
|
||||
FIRSTNAME string,
|
||||
LASTNAME string,
|
||||
FIRSTSEASON int,
|
||||
LASTSEASON int,
|
||||
WEIGHT int,
|
||||
BIRTHDATE date
|
||||
);
|
||||
|
||||
// CCJSqlParser takes a Reader or InputStream
|
||||
CCJSqlParser parser = new CCJSqlParser(input)
|
||||
SELECT FIRSTNAME, LASTNAME,
|
||||
WEIGHT, BIRTHDATE
|
||||
FROM PLAYERS
|
||||
WHERE WEIGHT>200;</code></pre>
|
||||
</section>
|
||||
<section>
|
||||
<svg width="800" height="100">
|
||||
<g transform="translate(0,20)">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Server.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">→ SQL</text>
|
||||
<g transform="translate(115,0)">
|
||||
<text font-size="18pt" transform="translate(-15,25)rotate(-45)">→</text>
|
||||
<text x="0" y="0" font-size="14pt" font-family="Courier">CREATE TABLE</text>
|
||||
</g>
|
||||
<g transform="translate(115,75)" fill="grey">
|
||||
<text font-size="18pt" transform="translate(-27,-25)rotate(45)">→</text>
|
||||
<text x="0" y="0" font-size="14pt" font-family="Courier">SELECT</text>
|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
||||
<pre><code class="sql">CREATE TABLE PLAYERS(
|
||||
ID string,
|
||||
FIRSTNAME string,
|
||||
LASTNAME string,
|
||||
FIRSTSEASON int,
|
||||
LASTSEASON int,
|
||||
WEIGHT int,
|
||||
BIRTHDATE date
|
||||
);</code></pre>
|
||||
↓
|
||||
<p style="font-size: 20pt" class="fragment">There is a table named "PLAYERS"...
|
||||
<ul style="font-size: 18pt">
|
||||
<li class="fragment" style="margin: 10px;">... with 7 attributes</li>
|
||||
<li class="fragment" style="margin: 10px;">... who's attributes have the given types</li>
|
||||
<li class="fragment" style="margin: 10px;">... with data in the file "data/PLAYERS.csv"</li>
|
||||
</ul>
|
||||
</p>
|
||||
</section>
|
||||
<section>
|
||||
<svg width="800" height="100">
|
||||
<g transform="translate(0,20)">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Server.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">→ SQL</text>
|
||||
<g transform="translate(115,-20)">
|
||||
<text font-size="18pt" transform="translate(-15,45)rotate(-45)">→</text>
|
||||
<text x="0" y="20" font-size="14pt" font-family="Courier">CREATE TABLE</text>
|
||||
<g transform="translate(170,0)">
|
||||
<text font-size="18pt" transform="translate(-27,23)">→</text>
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/DB.png" width="48px" height="50px" />
|
||||
<rect x="-18" y="25" width="80" height="20" fill="white" opacity="0.7" />
|
||||
<text font-size="12pt" transform="translate(-28,40)">Saved Schema</text>
|
||||
</g>
|
||||
<g transform="translate(400, 0)" class="fragment">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/File.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">.csv</text>
|
||||
</g>
|
||||
</g>
|
||||
<g transform="translate(115,75)" fill="grey">
|
||||
<text font-size="18pt" transform="translate(-27,-25)rotate(45)">→</text>
|
||||
<text x="0" y="0" font-size="14pt" font-family="Courier">SELECT</text>
|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
||||
<pre class="fragment">
|
||||
ABDELAL01|Alaa|Abdelnaby|1990|1994|240|1968-06-24
|
||||
ABDULKA01|Kareem|Abdul-jabbar|1969|1988|225|1947-04-16
|
||||
ABDULMA01|Mahmo|Abdul-rauf|1990|2000|162|1969-03-09
|
||||
ABDULTA01|Tariq|Abdul-wahad|1997|2002|223|1974-11-03
|
||||
ABDURSH01|Shareef|Abdur-rahim|1996|2007|225|1976-12-11
|
||||
ABERNTO01|Tom|Abernethy|1976|1980|220|1954-05-06
|
||||
ABRAMJO01|John|Abramovic|1946|1947|195|1919-02-09
|
||||
ACKERAL01|Alex|Acker|2005|2008|185|1983-01-21
|
||||
ACKERDO01|Donald|Ackerman|1953|1953|183|1930-09-04
|
||||
ACRESMA01|Mark|Acres|1987|1992|220|1962-11-15
|
||||
ACTONCH01|Charles|Acton|1967|1967|210|1942-01-11
|
||||
... </pre>
|
||||
</section>
|
||||
<section>
|
||||
<svg width="800" height="100">
|
||||
<g transform="translate(0,20)">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Server.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">→ SQL</text>
|
||||
<g transform="translate(115,-20)" fill="grey">
|
||||
<text font-size="18pt" transform="translate(-15,45)rotate(-45)">→</text>
|
||||
<text x="0" y="20" font-size="14pt" font-family="Courier">CREATE TABLE</text>
|
||||
<g transform="translate(170,0)">
|
||||
<text font-size="18pt" transform="translate(-27,23)">→</text>
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/DB.png" width="48px" height="50px" />
|
||||
<rect x="-18" y="25" width="80" height="20" fill="white" opacity="0.7" />
|
||||
<text font-size="12pt" transform="translate(-28,40)">Saved Schema</text>
|
||||
</g>
|
||||
<g transform="translate(400, 0)" fill="black">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/File.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">.csv</text>
|
||||
<g transform="translate(30,50)">
|
||||
<polyline points="0,0 0,40" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
<g transform="translate(115,75)">
|
||||
<text font-size="18pt" transform="translate(-27,-25)rotate(45)">→</text>
|
||||
<text x="0" y="0" font-size="14pt" font-family="Courier">SELECT</text>
|
||||
<g transform="translate(70,-6)">
|
||||
<polyline points="0,0 450,0" stroke="black" stroke-width="1.5"/>
|
||||
<g transform="translate(440,0)">
|
||||
<polyline points="0,0 10,0 0,3 0,-3 10,0" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
<g transform="translate(455,0)">
|
||||
<text x="0" y="6" font-size="14pt">Results</text>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
||||
<h3>Example Queries</h3>
|
||||
<ol>
|
||||
<li style="font-size: 20pt">SELECT A, B, ... FROM R <b>(Project)</b></li>
|
||||
<li style="font-size: 20pt">SELECT A, B, ... FROM R WHERE ... <b>(Project+Filter)</b></li>
|
||||
<li style="font-size: 20pt">SELECT A+B AS C, ... FROM R <b>(Map)</b></li>
|
||||
<li style="font-size: 20pt">SELECT A+B AS C, ... FROM R WHERE ... <b>(Map+Filter)</b></li>
|
||||
<li class="fragment highlight-grey" data-fragment-index="1" style="font-size: 20pt">SELECT SUM(A+B) AS C, ... FROM R <b>(Aggregate)</b></li>
|
||||
<li class="fragment highlight-grey" data-fragment-index="1" style="font-size: 20pt">SELECT SUM(A+B) AS C, ... FROM R WHERE ... <b>(Aggregate+Filter)</b></li>
|
||||
</ol>
|
||||
</section>
|
||||
<section>
|
||||
<svg width="800" height="100">
|
||||
<g transform="translate(0,20)">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Server.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">→ SQL</text>
|
||||
<g transform="translate(115,-20)" fill="grey">
|
||||
<text font-size="18pt" transform="translate(-15,45)rotate(-45)">→</text>
|
||||
<text x="0" y="20" font-size="14pt" font-family="Courier">CREATE TABLE</text>
|
||||
<g transform="translate(170,0)">
|
||||
<text font-size="18pt" transform="translate(-27,23)">→</text>
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/DB.png" width="48px" height="50px" />
|
||||
<rect x="-18" y="25" width="80" height="20" fill="white" opacity="0.7" />
|
||||
<text font-size="12pt" transform="translate(-28,40)">Saved Schema</text>
|
||||
</g>
|
||||
<g transform="translate(400, 0)" fill="black">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/File.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">.csv</text>
|
||||
<g transform="translate(30,50)">
|
||||
<polyline points="0,0 0,40" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
<g transform="translate(115,75)">
|
||||
<text font-size="18pt" transform="translate(-27,-25)rotate(45)">→</text>
|
||||
<text x="0" y="0" font-size="14pt" font-family="Courier">SELECT</text>
|
||||
<g transform="translate(70,-6)">
|
||||
<polyline points="0,0 450,0" stroke="black" stroke-width="1.5"/>
|
||||
<g transform="translate(440,0)">
|
||||
<polyline points="0,0 10,0 0,3 0,-3 10,0" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
<g transform="translate(455,0)">
|
||||
<text x="0" y="6" font-size="14pt">Results</text>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
||||
<pre><code class="java"> if(stmt instanceof Select){
|
||||
SelectBody bodyBase = ((Select)stmt).getSelectBody();
|
||||
if(bodyBase instanceof PlainSelect){
|
||||
PlainSelect body = (PlainSelect)bodyBase;
|
||||
...
|
||||
body.getFromItem()
|
||||
body.getWhere()
|
||||
body.getSelectItems()
|
||||
...
|
||||
}
|
||||
}</code></pre>
|
||||
</section>
|
||||
<section>
|
||||
<svg width="800" height="100">
|
||||
<g transform="translate(0,20)">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/Server.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">→ SQL</text>
|
||||
<g transform="translate(115,-20)" fill="grey">
|
||||
<text font-size="18pt" transform="translate(-15,45)rotate(-45)">→</text>
|
||||
<text x="0" y="20" font-size="14pt" font-family="Courier">CREATE TABLE</text>
|
||||
<g transform="translate(170,0)">
|
||||
<text font-size="18pt" transform="translate(-27,23)">→</text>
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/DB.png" width="48px" height="50px" />
|
||||
<rect x="-18" y="25" width="80" height="20" fill="white" opacity="0.7" />
|
||||
<text font-size="12pt" transform="translate(-28,40)">Saved Schema</text>
|
||||
</g>
|
||||
<g transform="translate(400, 0)" fill="black">
|
||||
<image x="0" y="0" xlink:href="graphics/Clipart/File.png" width="50px" height="50px" />
|
||||
<text x="45" y="38" font-size="12pt">.csv</text>
|
||||
<g transform="translate(30,50)">
|
||||
<polyline points="0,0 0,25" stroke="black" stroke-width="1.5"/>
|
||||
<g transform="translate(0,15) rotate(90)">
|
||||
<polyline points="0,0 10,0 0,3 0,-3 10,0" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
<g transform="translate(115,75)">
|
||||
<text font-size="18pt" transform="translate(-27,-25)rotate(45)">→</text>
|
||||
<text x="0" y="0" font-size="14pt" font-family="Courier">SELECT</text>
|
||||
<g transform="translate(70,-6)">
|
||||
<polyline points="0,0 320,0" stroke="black" stroke-width="1.5"/>
|
||||
<g transform="translate(310,0)">
|
||||
<polyline points="0,0 10,0 0,3 0,-3 10,0" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
<g transform="translate(325,0)">
|
||||
<text x="0" y="6" font-size="14pt" fill="red">Iterators</text>
|
||||
<g transform="translate(75,0)">
|
||||
<polyline points="0,0 50,0" stroke="black" stroke-width="1.5"/>
|
||||
<g transform="translate(40,0)">
|
||||
<polyline points="0,0 10,0 0,3 0,-3 10,0" stroke="black" stroke-width="1.5"/>
|
||||
</g>
|
||||
<g transform="translate(55,0)">
|
||||
<text x="0" y="6" font-size="14pt">Results</text>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
||||
</section>
|
||||
</section>
|
||||
|
||||
// CCJSqlParser.Statement() returns the next
|
||||
// complete Statement object from the reader or
|
||||
// input stream (or null if the stream is empty).
|
||||
Statement statement = parser.Statement()
|
||||
</code></pre>
|
||||
</section>
|
||||
<section>
|
||||
<h2>Using CCJSqlParser</h2>
|
||||
|
||||
<pre><code class="java">
|
||||
// System.in is an InputStream
|
||||
CCJSqlParser parser = new CCJSqlParser(System.in)
|
||||
|
||||
Statement statement = parser.Statement();
|
||||
// loop until you hit the last statement
|
||||
while(statement != null){
|
||||
|
||||
//
|
||||
// Do something with statement
|
||||
//
|
||||
|
||||
// ... then read the next statement
|
||||
statement = parser.Statement();
|
||||
}
|
||||
</code></pre>
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<section>
|
||||
<h2>Abstract Syntax Trees</h2>
|
||||
|
||||
<ul>
|
||||
<li><b>Statement</b>: Select, CreateTable</li>
|
||||
<li class="fragment" data-fragment-index="1"><b>SelectBody</b>: PlainSelect, Union</li>
|
||||
<li class="fragment" data-fragment-index="1"><b>FromItem</b>: Table, Join, SubSelect</li>
|
||||
<li class="fragment" data-fragment-index="1"><b>SelectItem</b>: AllColumns, AllTableColumns, SelectExpressionItem</li>
|
||||
<li class="fragment" data-fragment-index="1"><b>Expression</b>: LongValue, AddExpression, GreaterThan</li>
|
||||
</ul>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<pre><code class="java">
|
||||
while(statement != null){
|
||||
if(statement instanceof Select){
|
||||
Select select = (Select)statement;
|
||||
// Do something with `select`
|
||||
|
||||
} else if(statement instanceof CreateTable){
|
||||
CreateTable create = (CreateTable)statement;
|
||||
// Do something with `create`
|
||||
|
||||
} else {
|
||||
throw new SqlException("Can't handle: "+statement);
|
||||
<section>
|
||||
<section>
|
||||
<h2>Iterators</h2>
|
||||
<p>There are a number of data transformations that appear in more than one pattern. For example:
|
||||
<ol>
|
||||
<li>Loading the CSV file in as data</li>
|
||||
<li>Filtering rows out of data</li>
|
||||
<li>Transforming (mapping) data into a new structure</li>
|
||||
<li>Summarizing (aggregating) data</li>
|
||||
<li>Printing output data</li>
|
||||
</ol>
|
||||
</p>
|
||||
<p class="fragment"><b>Suggestion:</b> Abstract these steps out</p>
|
||||
</section>
|
||||
<section>
|
||||
<h2>Idea: Functions</h2>
|
||||
<ol>
|
||||
<li>loadCSV(...) returns a table</li>
|
||||
<li>filter(condition, table) returns a table</li>
|
||||
<li>map(expressions, table) returns a table</li>
|
||||
<li>aggregate(aggregates, table) returns a row</li>
|
||||
<li>print(table)</li>
|
||||
</ol>
|
||||
</p>
|
||||
<p class="fragment"><b>Problem:</b> A "table" can get very very big.</p>
|
||||
</section>
|
||||
<section>
|
||||
<h2>Better Idea: Iterators</h2>
|
||||
<dl>
|
||||
<dt>hasNext()</dt>
|
||||
<dd>Returns true if there are more rows to return</dd>
|
||||
<dt>next()</dt>
|
||||
<dd>Returns the next row</dd>
|
||||
</dl>
|
||||
<p>All "functions" can be implemented as iterators that use constant space</p>
|
||||
</section>
|
||||
<section>
|
||||
<h3>Example: SelectOperator</h3>
|
||||
<pre><code class="java">
|
||||
class SelectOperator implements RAOperator
|
||||
{
|
||||
RAOperator child;
|
||||
Expression condition;
|
||||
public ProjectOperator(RAOperator child, Expression condition) {
|
||||
this.child = child; this.condition = condition;
|
||||
}
|
||||
statement = parser.Statement()
|
||||
}
|
||||
</code></pre>
|
||||
</section>
|
||||
|
||||
public boolean hasNext(){ /* ...? */ }
|
||||
public /* ...? */ next(){ /* ...? */ }
|
||||
}
|
||||
</code></pre>
|
||||
</section>
|
||||
<section>
|
||||
<h3>'|'-separated Value File Suggestions</h3>
|
||||
<ul>
|
||||
<li>Use BufferedReader's readline() method</li>
|
||||
<li>Precompile your '|' splitter using <code>java.util.regexp.Pattern.compile()</code></li>
|
||||
<li>Parse everything upfront</li>
|
||||
<li>Keep each row as an Array of PrimitiveValues</li>
|
||||
<li>For Codd's sake, don't store entire tables in memory</li>
|
||||
</ul>
|
||||
</section>
|
||||
<section>
|
||||
<table>
|
||||
<tr><th>SQL Type</th><th>PrimitiveValue</th></tr>
|
||||
<tr><td>string</td><td>StringValue</td></tr>
|
||||
<tr><td>varchar</td><td>StringValue</td></tr>
|
||||
<tr><td>char</td><td>StringValue</td></tr>
|
||||
<tr><td>int</td><td>LongValue</td></tr>
|
||||
<tr><td>decimal</td><td>DoubleValue</td></tr>
|
||||
<tr><td>date</td><td>DateValue</td></tr>
|
||||
</table>
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<pre><code class="java">
|
||||
Select select = (Select)statement;
|
||||
SelectBody body = select.getSelectBody();
|
||||
if(body instanceof /* ... */){
|
||||
// ...
|
||||
<section>
|
||||
<section>
|
||||
<h2>EvalLib</h2>
|
||||
<p>How do you evaluate the <code class="sql">A > 5</code> in<br/> <code class="sql">SELECT B FROM R WHERE A > 5</code>?</p>
|
||||
<p class="fragment">More generally, how do you evaluate a JSqlParser <code>Expression</code>?</p>
|
||||
</section>
|
||||
<section>
|
||||
<pre><code class="java">
|
||||
Eval eval = new Eval(){ /* we'll get what goes here shortly */ }
|
||||
</code></pre>
|
||||
|
||||
<pre class="fragment"><code class="java">
|
||||
// Evaluate "1 + 2.0"
|
||||
PrimitiveValue result;
|
||||
result =
|
||||
eval.eval(
|
||||
new Addition(
|
||||
new LongPrimitive(1),
|
||||
new DoublePrimitive(2.0)
|
||||
)
|
||||
);
|
||||
System.out.println("Result: "+result); // "Result: 3.0"
|
||||
</code></pre>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<pre><code class="java">
|
||||
// Evaluate "R.A >= 5"
|
||||
result =
|
||||
eval.eval(
|
||||
new GreaterThanEquals(
|
||||
new Column(new Table(null, "R"), "A"), // `R.A`
|
||||
new LongPrimitive(5)
|
||||
)
|
||||
);
|
||||
</code></pre>
|
||||
<p class="fragment"><b>Problem: </b> What value should EvalLib give to <code>R.A</code>?</p>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<p>Your code needs to tell it...</p>
|
||||
<pre><code class="java">
|
||||
Eval eval = new Eval(){
|
||||
public PrimitiveValue eval(Column c){
|
||||
String colName = c.getColumnName();
|
||||
String tableName = c.getTable().getName();
|
||||
PrimitiveValue ret = /* look up colName.tableName */
|
||||
return ret;
|
||||
}
|
||||
}
|
||||
</code></pre>
|
||||
<ul class="fragment">
|
||||
<li><b>PlainSelect</b>: <tt>(SELECT * FROM ...)</tt></li>
|
||||
<li><b>Union</b>: <tt>(SELECT * FROM ...) UNION ALL (SELECT ...)</tt></li>
|
||||
</ul>
|
||||
</section>
|
||||
</code></pre>
|
||||
</section>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<pre><code class="java">
|
||||
Select select = (Select)statement;
|
||||
SelectBody body = select.getSelectBody();
|
||||
if(body instanceof PlainSelect){
|
||||
PlainSelect plain = (PlainSelect)body;
|
||||
// Do something with `plain`
|
||||
}
|
||||
</code></pre>
|
||||
</section>
|
||||
</section>
|
||||
<section>
|
||||
<h1>Questions?</h1>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<section>
|
||||
<h2>PlainSelect</h2>
|
||||
<pre><code class="sql">
|
||||
SELECT [distinct] [selectItems]
|
||||
FROM [fromItem], [joins, ...]
|
||||
WHERE [where]
|
||||
GROUP BY [groupByColumnReferences]
|
||||
HAVING [having]
|
||||
ORDER BY [orderByElements]
|
||||
LIMIT [limit]
|
||||
</code></pre>
|
||||
Everything in [brackets] has a method in <a href="http://doc.odin.cse.buffalo.edu/jsqlparser/net/sf/jsqlparser/statement/select/PlainSelect.html">PlainSelect</a>
|
||||
</section>
|
||||
<section>
|
||||
<h2>SelectItems</h2>
|
||||
<dl>
|
||||
<dt>AllColumns</dt>
|
||||
<dd>SELECT *</dd>
|
||||
<dt>AllTableColumns</dt>
|
||||
<dd>SELECT R.*</dd>
|
||||
<dt>SelectExpressionItem</dt>
|
||||
<dd>SELECT R.A or SELECT R.A AS Q</dd>
|
||||
</dl>
|
||||
</section>
|
||||
|
||||
<section>
|
||||
<h2>Expressions</h2>
|
||||
<ul>
|
||||
<li>WHERE</li>
|
||||
<li>HAVING</li>
|
||||
<li>SelectExpressionItem</li>
|
||||
<li>ORDER BY</li>
|
||||
</ul>
|
||||
(To be discussed next week)
|
||||
</section>
|
||||
</section>
|
||||
|
||||
</div></div>
|
||||
|
||||
|
|
|
|||
180
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@ -19,18 +19,21 @@ schedule:
|
|||
materials:
|
||||
slides: "https://odin.cse.buffalo.edu/slides/cse4562sp2019/2019-02-04-RA-Basics.html"
|
||||
- date: "Feb 6"
|
||||
due: "Homework 1"
|
||||
topic: "Relational Algebra Equivalences"
|
||||
textbook: "16.2"
|
||||
materials:
|
||||
slides: "https://odin.cse.buffalo.edu/slides/cse4562sp2019/2019-02-06-RA-Equivs.html"
|
||||
- date: "Feb 8"
|
||||
due: "Checkpoint 0"
|
||||
topic: "Checkpoint 1"
|
||||
textbook: "Ch. 15.1-15.3, 16.3"
|
||||
materials:
|
||||
slides: "https://odin.cse.buffalo.edu/slides/cse4562sp2019/2019-02-08-Checkpoint1.html"
|
||||
- date: "Feb 11"
|
||||
topic: "Evaluating Relational Algebra"
|
||||
topic: "Basic Algorithms"
|
||||
textbook: "Ch. 15.1-15.5, 16.7"
|
||||
- date: "Feb 13"
|
||||
due: "Homework 2"
|
||||
due: "Homework 1"
|
||||
topic: "Extended Relational Algebra"
|
||||
textbook: "Ch. 5.2, 15.4"
|
||||
- date: "Feb 15"
|
||||
|
|
@ -41,7 +44,7 @@ schedule:
|
|||
topic: "Indexing (Intro + Tree Indexes)"
|
||||
textbook: "Ch. 8.3-8.4, 14.1-14.2, 14.4"
|
||||
- date: "Feb 20"
|
||||
due: "Homework 3"
|
||||
due: "Homework 2"
|
||||
topic: "Indexing (Hash Indexes + Modern Indexes)"
|
||||
note: Learned indexes, LSM Trees
|
||||
textbook: "Ch. 14.3"
|
||||
|
|
@ -57,7 +60,7 @@ schedule:
|
|||
topic: "Checkpoint 2"
|
||||
textbook: "Ch. 15.1-15.5, 16.2-16.3, 16.7"
|
||||
- date: "Feb 27"
|
||||
due: "Homework 4"
|
||||
due: "Homework 3"
|
||||
topic: "External (2-Pass) Algorithms (contd.)"
|
||||
textbook: "Ch. 15.4-15.5, 15.8"
|
||||
textbook:
|
||||
|
|
@ -69,7 +72,7 @@ schedule:
|
|||
topic: "Database Statistics 1/2"
|
||||
textbook: "Ch. 16.4-16.5"
|
||||
- date: "Mar 6"
|
||||
due: "Homework 5"
|
||||
due: "Homework 4"
|
||||
topic: "Database Statistics 2/2"
|
||||
textbook: "Ch. 16.4-16.5"
|
||||
- date: "Mar 8"
|
||||
|
|
@ -93,7 +96,7 @@ schedule:
|
|||
topic: "Materialized Views"
|
||||
textbook: "Ch. 8.5"
|
||||
- date: "Mar 27"
|
||||
due: "Homework 6"
|
||||
due: "Homework 5"
|
||||
topic: "SQL DDL and Constraints"
|
||||
textbook: "Ch. 7.1-7.4"
|
||||
- date: "Mar 29"
|
||||
|
|
@ -106,7 +109,7 @@ schedule:
|
|||
- date: "Apr 3"
|
||||
topic: "Pessimistic Transaction Control"
|
||||
textbook: "Ch. 18.3-18.7, 19.2"
|
||||
due: "Homework 7"
|
||||
due: "Homework 6"
|
||||
- date: "Apr 5"
|
||||
topic: "Pessimistic Transaction Control (contd.)"
|
||||
textbook: "Ch. 18.3-18.7, 19.2"
|
||||
|
|
@ -115,7 +118,7 @@ schedule:
|
|||
topic: "Checkpoint 4"
|
||||
textbook: "Ch. 15.7, 16.4-16.6"
|
||||
- date: "Apr 10"
|
||||
due: "Homework 8"
|
||||
due: "Homework 7"
|
||||
topic: "Optimistic Transaction Control"
|
||||
textbook: "Ch. 18.8-18.9"
|
||||
- date: "Apr 12"
|
||||
|
|
@ -125,7 +128,7 @@ schedule:
|
|||
topic: "Logging + ARIES Recovery (contd.)"
|
||||
textbook: "Ch. 17.1-17.5"
|
||||
- date: "Apr 17"
|
||||
due: "Homework 9"
|
||||
due: "Homework 8"
|
||||
topic: "Distributed Algorithms"
|
||||
textbook: "Ch. 20.1-20.4"
|
||||
- date: "Apr 19"
|
||||
|
|
@ -135,7 +138,7 @@ schedule:
|
|||
topic: "Distributed Updates"
|
||||
textbook: "Ch. 20.5-20.6"
|
||||
- date: "Apr 24"
|
||||
due: "Homework 10"
|
||||
due: "Homework 9"
|
||||
topic: "Distributed Updates (contd.)"
|
||||
textbook: "Ch. 20.5-20.6"
|
||||
- date: "Apr 26"
|
||||
|
|
@ -145,12 +148,12 @@ schedule:
|
|||
topic: "Approximate Query Processing"
|
||||
textbook: "Ch. 23.5"
|
||||
- date: "May 1"
|
||||
due: "Homework 11"
|
||||
due: "Homework 10"
|
||||
topic: "Provenance Queries"
|
||||
- date: "May 3"
|
||||
topic: "Provenance for Uncertainty"
|
||||
- date: "May 6"
|
||||
due: "Homework 12"
|
||||
due: "Homework 11"
|
||||
topic: "Buffer Day"
|
||||
- date: "May 8"
|
||||
topic: "Final Exam Review 1"
|
||||
|
|
|
|||
Loading…
Reference in a new issue