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| author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2023-11-01 05:12:42 +0000 |
|---|---|---|
| committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2023-11-01 05:12:42 +0000 |
| commit | c51a9844b869fd7cd69e5cc7658d34f61a865185 (patch) | |
| tree | 55706c65ce7e19626aabf7ff4dde0e1a51b739db /docs/sqlglot/optimizer/normalize.html | |
| parent | Releasing debian version 18.17.0-1. (diff) | |
| download | sqlglot-c51a9844b869fd7cd69e5cc7658d34f61a865185.tar.xz sqlglot-c51a9844b869fd7cd69e5cc7658d34f61a865185.zip | |
Merging upstream version 19.0.1.
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'docs/sqlglot/optimizer/normalize.html')
| -rw-r--r-- | docs/sqlglot/optimizer/normalize.html | 581 |
1 files changed, 288 insertions, 293 deletions
diff --git a/docs/sqlglot/optimizer/normalize.html b/docs/sqlglot/optimizer/normalize.html index b422f11..67b57b3 100644 --- a/docs/sqlglot/optimizer/normalize.html +++ b/docs/sqlglot/optimizer/normalize.html @@ -74,187 +74,184 @@ </span><span id="L-4"><a href="#L-4"><span class="linenos"> 4</span></a> </span><span id="L-5"><a href="#L-5"><span class="linenos"> 5</span></a><span class="kn">from</span> <span class="nn">sqlglot</span> <span class="kn">import</span> <span class="n">exp</span> </span><span id="L-6"><a href="#L-6"><span class="linenos"> 6</span></a><span class="kn">from</span> <span class="nn">sqlglot.errors</span> <span class="kn">import</span> <span class="n">OptimizeError</span> -</span><span id="L-7"><a href="#L-7"><span class="linenos"> 7</span></a><span class="kn">from</span> <span class="nn">sqlglot.generator</span> <span class="kn">import</span> <span class="n">cached_generator</span> -</span><span id="L-8"><a href="#L-8"><span class="linenos"> 8</span></a><span class="kn">from</span> <span class="nn">sqlglot.helper</span> <span class="kn">import</span> <span class="n">while_changing</span> -</span><span id="L-9"><a href="#L-9"><span class="linenos"> 9</span></a><span class="kn">from</span> <span class="nn">sqlglot.optimizer.scope</span> <span class="kn">import</span> <span class="n">find_all_in_scope</span> -</span><span id="L-10"><a href="#L-10"><span class="linenos"> 10</span></a><span class="kn">from</span> <span class="nn">sqlglot.optimizer.simplify</span> <span class="kn">import</span> <span class="n">flatten</span><span class="p">,</span> <span class="n">rewrite_between</span><span class="p">,</span> <span class="n">uniq_sort</span> -</span><span id="L-11"><a href="#L-11"><span class="linenos"> 11</span></a> -</span><span id="L-12"><a href="#L-12"><span class="linenos"> 12</span></a><span class="n">logger</span> <span class="o">=</span> <span class="n">logging</span><span class="o">.</span><span class="n">getLogger</span><span class="p">(</span><span class="s2">"sqlglot"</span><span class="p">)</span> +</span><span id="L-7"><a href="#L-7"><span class="linenos"> 7</span></a><span class="kn">from</span> <span class="nn">sqlglot.helper</span> <span class="kn">import</span> <span class="n">while_changing</span> +</span><span id="L-8"><a href="#L-8"><span class="linenos"> 8</span></a><span class="kn">from</span> <span class="nn">sqlglot.optimizer.scope</span> <span class="kn">import</span> <span class="n">find_all_in_scope</span> +</span><span id="L-9"><a href="#L-9"><span class="linenos"> 9</span></a><span class="kn">from</span> <span class="nn">sqlglot.optimizer.simplify</span> <span class="kn">import</span> <span class="n">flatten</span><span class="p">,</span> <span class="n">rewrite_between</span><span class="p">,</span> <span class="n">uniq_sort</span> +</span><span id="L-10"><a href="#L-10"><span class="linenos"> 10</span></a> +</span><span id="L-11"><a href="#L-11"><span class="linenos"> 11</span></a><span class="n">logger</span> <span class="o">=</span> <span class="n">logging</span><span class="o">.</span><span class="n">getLogger</span><span class="p">(</span><span class="s2">"sqlglot"</span><span class="p">)</span> +</span><span id="L-12"><a href="#L-12"><span class="linenos"> 12</span></a> </span><span id="L-13"><a href="#L-13"><span class="linenos"> 13</span></a> -</span><span id="L-14"><a href="#L-14"><span class="linenos"> 14</span></a> -</span><span id="L-15"><a href="#L-15"><span class="linenos"> 15</span></a><span class="k">def</span> <span class="nf">normalize</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">:</span> <span class="nb">int</span> <span class="o">=</span> <span class="mi">128</span><span class="p">):</span> -</span><span id="L-16"><a href="#L-16"><span class="linenos"> 16</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-17"><a href="#L-17"><span class="linenos"> 17</span></a><span class="sd"> Rewrite sqlglot AST into conjunctive normal form or disjunctive normal form.</span> -</span><span id="L-18"><a href="#L-18"><span class="linenos"> 18</span></a> -</span><span id="L-19"><a href="#L-19"><span class="linenos"> 19</span></a><span class="sd"> Example:</span> -</span><span id="L-20"><a href="#L-20"><span class="linenos"> 20</span></a><span class="sd"> >>> import sqlglot</span> -</span><span id="L-21"><a href="#L-21"><span class="linenos"> 21</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(x AND y) OR z")</span> -</span><span id="L-22"><a href="#L-22"><span class="linenos"> 22</span></a><span class="sd"> >>> normalize(expression, dnf=False).sql()</span> -</span><span id="L-23"><a href="#L-23"><span class="linenos"> 23</span></a><span class="sd"> '(x OR z) AND (y OR z)'</span> -</span><span id="L-24"><a href="#L-24"><span class="linenos"> 24</span></a> -</span><span id="L-25"><a href="#L-25"><span class="linenos"> 25</span></a><span class="sd"> Args:</span> -</span><span id="L-26"><a href="#L-26"><span class="linenos"> 26</span></a><span class="sd"> expression: expression to normalize</span> -</span><span id="L-27"><a href="#L-27"><span class="linenos"> 27</span></a><span class="sd"> dnf: rewrite in disjunctive normal form instead.</span> -</span><span id="L-28"><a href="#L-28"><span class="linenos"> 28</span></a><span class="sd"> max_distance (int): the maximal estimated distance from cnf/dnf to attempt conversion</span> -</span><span id="L-29"><a href="#L-29"><span class="linenos"> 29</span></a><span class="sd"> Returns:</span> -</span><span id="L-30"><a href="#L-30"><span class="linenos"> 30</span></a><span class="sd"> sqlglot.Expression: normalized expression</span> -</span><span id="L-31"><a href="#L-31"><span class="linenos"> 31</span></a><span class="sd"> """</span> -</span><span id="L-32"><a href="#L-32"><span class="linenos"> 32</span></a> <span class="n">generate</span> <span class="o">=</span> <span class="n">cached_generator</span><span class="p">()</span> -</span><span id="L-33"><a href="#L-33"><span class="linenos"> 33</span></a> -</span><span id="L-34"><a href="#L-34"><span class="linenos"> 34</span></a> <span class="k">for</span> <span class="n">node</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span> <span class="ow">in</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">expression</span><span class="o">.</span><span class="n">walk</span><span class="p">(</span><span class="n">prune</span><span class="o">=</span><span class="k">lambda</span> <span class="n">e</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span><span class="p">:</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> -</span><span id="L-35"><a href="#L-35"><span class="linenos"> 35</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> -</span><span id="L-36"><a href="#L-36"><span class="linenos"> 36</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> -</span><span id="L-37"><a href="#L-37"><span class="linenos"> 37</span></a> <span class="k">continue</span> -</span><span id="L-38"><a href="#L-38"><span class="linenos"> 38</span></a> <span class="n">root</span> <span class="o">=</span> <span class="n">node</span> <span class="ow">is</span> <span class="n">expression</span> -</span><span id="L-39"><a href="#L-39"><span class="linenos"> 39</span></a> <span class="n">original</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span> +</span><span id="L-14"><a href="#L-14"><span class="linenos"> 14</span></a><span class="k">def</span> <span class="nf">normalize</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">:</span> <span class="nb">int</span> <span class="o">=</span> <span class="mi">128</span><span class="p">):</span> +</span><span id="L-15"><a href="#L-15"><span class="linenos"> 15</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-16"><a href="#L-16"><span class="linenos"> 16</span></a><span class="sd"> Rewrite sqlglot AST into conjunctive normal form or disjunctive normal form.</span> +</span><span id="L-17"><a href="#L-17"><span class="linenos"> 17</span></a> +</span><span id="L-18"><a href="#L-18"><span class="linenos"> 18</span></a><span class="sd"> Example:</span> +</span><span id="L-19"><a href="#L-19"><span class="linenos"> 19</span></a><span class="sd"> >>> import sqlglot</span> +</span><span id="L-20"><a href="#L-20"><span class="linenos"> 20</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(x AND y) OR z")</span> +</span><span id="L-21"><a href="#L-21"><span class="linenos"> 21</span></a><span class="sd"> >>> normalize(expression, dnf=False).sql()</span> +</span><span id="L-22"><a href="#L-22"><span class="linenos"> 22</span></a><span class="sd"> '(x OR z) AND (y OR z)'</span> +</span><span id="L-23"><a href="#L-23"><span class="linenos"> 23</span></a> +</span><span id="L-24"><a href="#L-24"><span class="linenos"> 24</span></a><span class="sd"> Args:</span> +</span><span id="L-25"><a href="#L-25"><span class="linenos"> 25</span></a><span class="sd"> expression: expression to normalize</span> +</span><span id="L-26"><a href="#L-26"><span class="linenos"> 26</span></a><span class="sd"> dnf: rewrite in disjunctive normal form instead.</span> +</span><span id="L-27"><a href="#L-27"><span class="linenos"> 27</span></a><span class="sd"> max_distance (int): the maximal estimated distance from cnf/dnf to attempt conversion</span> +</span><span id="L-28"><a href="#L-28"><span class="linenos"> 28</span></a><span class="sd"> Returns:</span> +</span><span id="L-29"><a href="#L-29"><span class="linenos"> 29</span></a><span class="sd"> sqlglot.Expression: normalized expression</span> +</span><span id="L-30"><a href="#L-30"><span class="linenos"> 30</span></a><span class="sd"> """</span> +</span><span id="L-31"><a href="#L-31"><span class="linenos"> 31</span></a> <span class="k">for</span> <span class="n">node</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span> <span class="ow">in</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">expression</span><span class="o">.</span><span class="n">walk</span><span class="p">(</span><span class="n">prune</span><span class="o">=</span><span class="k">lambda</span> <span class="n">e</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span><span class="p">:</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> +</span><span id="L-32"><a href="#L-32"><span class="linenos"> 32</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> +</span><span id="L-33"><a href="#L-33"><span class="linenos"> 33</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> +</span><span id="L-34"><a href="#L-34"><span class="linenos"> 34</span></a> <span class="k">continue</span> +</span><span id="L-35"><a href="#L-35"><span class="linenos"> 35</span></a> <span class="n">root</span> <span class="o">=</span> <span class="n">node</span> <span class="ow">is</span> <span class="n">expression</span> +</span><span id="L-36"><a href="#L-36"><span class="linenos"> 36</span></a> <span class="n">original</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span> +</span><span id="L-37"><a href="#L-37"><span class="linenos"> 37</span></a> +</span><span id="L-38"><a href="#L-38"><span class="linenos"> 38</span></a> <span class="n">node</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">rewrite_between</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span> +</span><span id="L-39"><a href="#L-39"><span class="linenos"> 39</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> </span><span id="L-40"><a href="#L-40"><span class="linenos"> 40</span></a> -</span><span id="L-41"><a href="#L-41"><span class="linenos"> 41</span></a> <span class="n">node</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">rewrite_between</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span> -</span><span id="L-42"><a href="#L-42"><span class="linenos"> 42</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> -</span><span id="L-43"><a href="#L-43"><span class="linenos"> 43</span></a> -</span><span id="L-44"><a href="#L-44"><span class="linenos"> 44</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> -</span><span id="L-45"><a href="#L-45"><span class="linenos"> 45</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span> -</span><span id="L-46"><a href="#L-46"><span class="linenos"> 46</span></a> <span class="sa">f</span><span class="s2">"Skipping normalization because distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span> -</span><span id="L-47"><a href="#L-47"><span class="linenos"> 47</span></a> <span class="p">)</span> -</span><span id="L-48"><a href="#L-48"><span class="linenos"> 48</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="L-49"><a href="#L-49"><span class="linenos"> 49</span></a> -</span><span id="L-50"><a href="#L-50"><span class="linenos"> 50</span></a> <span class="k">try</span><span class="p">:</span> -</span><span id="L-51"><a href="#L-51"><span class="linenos"> 51</span></a> <span class="n">node</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span> -</span><span id="L-52"><a href="#L-52"><span class="linenos"> 52</span></a> <span class="n">while_changing</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">,</span> <span class="n">generate</span><span class="p">))</span> -</span><span id="L-53"><a href="#L-53"><span class="linenos"> 53</span></a> <span class="p">)</span> -</span><span id="L-54"><a href="#L-54"><span class="linenos"> 54</span></a> <span class="k">except</span> <span class="n">OptimizeError</span> <span class="k">as</span> <span class="n">e</span><span class="p">:</span> -</span><span id="L-55"><a href="#L-55"><span class="linenos"> 55</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span><span class="n">e</span><span class="p">)</span> -</span><span id="L-56"><a href="#L-56"><span class="linenos"> 56</span></a> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="n">original</span><span class="p">)</span> -</span><span id="L-57"><a href="#L-57"><span class="linenos"> 57</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> -</span><span id="L-58"><a href="#L-58"><span class="linenos"> 58</span></a> <span class="k">return</span> <span class="n">original</span> -</span><span id="L-59"><a href="#L-59"><span class="linenos"> 59</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-41"><a href="#L-41"><span class="linenos"> 41</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> +</span><span id="L-42"><a href="#L-42"><span class="linenos"> 42</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span> +</span><span id="L-43"><a href="#L-43"><span class="linenos"> 43</span></a> <span class="sa">f</span><span class="s2">"Skipping normalization because distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span> +</span><span id="L-44"><a href="#L-44"><span class="linenos"> 44</span></a> <span class="p">)</span> +</span><span id="L-45"><a href="#L-45"><span class="linenos"> 45</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-46"><a href="#L-46"><span class="linenos"> 46</span></a> +</span><span id="L-47"><a href="#L-47"><span class="linenos"> 47</span></a> <span class="k">try</span><span class="p">:</span> +</span><span id="L-48"><a href="#L-48"><span class="linenos"> 48</span></a> <span class="n">node</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span> +</span><span id="L-49"><a href="#L-49"><span class="linenos"> 49</span></a> <span class="n">while_changing</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">))</span> +</span><span id="L-50"><a href="#L-50"><span class="linenos"> 50</span></a> <span class="p">)</span> +</span><span id="L-51"><a href="#L-51"><span class="linenos"> 51</span></a> <span class="k">except</span> <span class="n">OptimizeError</span> <span class="k">as</span> <span class="n">e</span><span class="p">:</span> +</span><span id="L-52"><a href="#L-52"><span class="linenos"> 52</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span><span class="n">e</span><span class="p">)</span> +</span><span id="L-53"><a href="#L-53"><span class="linenos"> 53</span></a> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="n">original</span><span class="p">)</span> +</span><span id="L-54"><a href="#L-54"><span class="linenos"> 54</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="L-55"><a href="#L-55"><span class="linenos"> 55</span></a> <span class="k">return</span> <span class="n">original</span> +</span><span id="L-56"><a href="#L-56"><span class="linenos"> 56</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-57"><a href="#L-57"><span class="linenos"> 57</span></a> +</span><span id="L-58"><a href="#L-58"><span class="linenos"> 58</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="L-59"><a href="#L-59"><span class="linenos"> 59</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">node</span> </span><span id="L-60"><a href="#L-60"><span class="linenos"> 60</span></a> -</span><span id="L-61"><a href="#L-61"><span class="linenos"> 61</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> -</span><span id="L-62"><a href="#L-62"><span class="linenos"> 62</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">node</span> +</span><span id="L-61"><a href="#L-61"><span class="linenos"> 61</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-62"><a href="#L-62"><span class="linenos"> 62</span></a> </span><span id="L-63"><a href="#L-63"><span class="linenos"> 63</span></a> -</span><span id="L-64"><a href="#L-64"><span class="linenos"> 64</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="L-65"><a href="#L-65"><span class="linenos"> 65</span></a> -</span><span id="L-66"><a href="#L-66"><span class="linenos"> 66</span></a> -</span><span id="L-67"><a href="#L-67"><span class="linenos"> 67</span></a><span class="k">def</span> <span class="nf">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">bool</span><span class="p">:</span> -</span><span id="L-68"><a href="#L-68"><span class="linenos"> 68</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-69"><a href="#L-69"><span class="linenos"> 69</span></a><span class="sd"> Checks whether a given expression is in a normal form of interest.</span> -</span><span id="L-70"><a href="#L-70"><span class="linenos"> 70</span></a> -</span><span id="L-71"><a href="#L-71"><span class="linenos"> 71</span></a><span class="sd"> Example:</span> -</span><span id="L-72"><a href="#L-72"><span class="linenos"> 72</span></a><span class="sd"> >>> from sqlglot import parse_one</span> -</span><span id="L-73"><a href="#L-73"><span class="linenos"> 73</span></a><span class="sd"> >>> normalized(parse_one("(a AND b) OR c OR (d AND e)"), dnf=True)</span> -</span><span id="L-74"><a href="#L-74"><span class="linenos"> 74</span></a><span class="sd"> True</span> -</span><span id="L-75"><a href="#L-75"><span class="linenos"> 75</span></a><span class="sd"> >>> normalized(parse_one("(a OR b) AND c")) # Checks CNF by default</span> -</span><span id="L-76"><a href="#L-76"><span class="linenos"> 76</span></a><span class="sd"> True</span> -</span><span id="L-77"><a href="#L-77"><span class="linenos"> 77</span></a><span class="sd"> >>> normalized(parse_one("a AND (b OR c)"), dnf=True)</span> -</span><span id="L-78"><a href="#L-78"><span class="linenos"> 78</span></a><span class="sd"> False</span> -</span><span id="L-79"><a href="#L-79"><span class="linenos"> 79</span></a> -</span><span id="L-80"><a href="#L-80"><span class="linenos"> 80</span></a><span class="sd"> Args:</span> -</span><span id="L-81"><a href="#L-81"><span class="linenos"> 81</span></a><span class="sd"> expression: The expression to check if it's normalized.</span> -</span><span id="L-82"><a href="#L-82"><span class="linenos"> 82</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> -</span><span id="L-83"><a href="#L-83"><span class="linenos"> 83</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> -</span><span id="L-84"><a href="#L-84"><span class="linenos"> 84</span></a><span class="sd"> """</span> -</span><span id="L-85"><a href="#L-85"><span class="linenos"> 85</span></a> <span class="n">ancestor</span><span class="p">,</span> <span class="n">root</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> -</span><span id="L-86"><a href="#L-86"><span class="linenos"> 86</span></a> <span class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span> -</span><span id="L-87"><a href="#L-87"><span class="linenos"> 87</span></a> <span class="n">connector</span><span class="o">.</span><span class="n">find_ancestor</span><span class="p">(</span><span class="n">ancestor</span><span class="p">)</span> <span class="k">for</span> <span class="n">connector</span> <span class="ow">in</span> <span class="n">find_all_in_scope</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">root</span><span class="p">)</span> -</span><span id="L-88"><a href="#L-88"><span class="linenos"> 88</span></a> <span class="p">)</span> -</span><span id="L-89"><a href="#L-89"><span class="linenos"> 89</span></a> -</span><span id="L-90"><a href="#L-90"><span class="linenos"> 90</span></a> -</span><span id="L-91"><a href="#L-91"><span class="linenos"> 91</span></a><span class="k">def</span> <span class="nf">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span> -</span><span id="L-92"><a href="#L-92"><span class="linenos"> 92</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-93"><a href="#L-93"><span class="linenos"> 93</span></a><span class="sd"> The difference in the number of predicates between a given expression and its normalized form.</span> -</span><span id="L-94"><a href="#L-94"><span class="linenos"> 94</span></a> -</span><span id="L-95"><a href="#L-95"><span class="linenos"> 95</span></a><span class="sd"> This is used as an estimate of the cost of the conversion which is exponential in complexity.</span> -</span><span id="L-96"><a href="#L-96"><span class="linenos"> 96</span></a> -</span><span id="L-97"><a href="#L-97"><span class="linenos"> 97</span></a><span class="sd"> Example:</span> -</span><span id="L-98"><a href="#L-98"><span class="linenos"> 98</span></a><span class="sd"> >>> import sqlglot</span> -</span><span id="L-99"><a href="#L-99"><span class="linenos"> 99</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> -</span><span id="L-100"><a href="#L-100"><span class="linenos">100</span></a><span class="sd"> >>> normalization_distance(expression)</span> -</span><span id="L-101"><a href="#L-101"><span class="linenos">101</span></a><span class="sd"> 4</span> -</span><span id="L-102"><a href="#L-102"><span class="linenos">102</span></a> -</span><span id="L-103"><a href="#L-103"><span class="linenos">103</span></a><span class="sd"> Args:</span> -</span><span id="L-104"><a href="#L-104"><span class="linenos">104</span></a><span class="sd"> expression: The expression to compute the normalization distance for.</span> -</span><span id="L-105"><a href="#L-105"><span class="linenos">105</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> -</span><span id="L-106"><a href="#L-106"><span class="linenos">106</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> -</span><span id="L-107"><a href="#L-107"><span class="linenos">107</span></a> -</span><span id="L-108"><a href="#L-108"><span class="linenos">108</span></a><span class="sd"> Returns:</span> -</span><span id="L-109"><a href="#L-109"><span class="linenos">109</span></a><span class="sd"> The normalization distance.</span> -</span><span id="L-110"><a href="#L-110"><span class="linenos">110</span></a><span class="sd"> """</span> -</span><span id="L-111"><a href="#L-111"><span class="linenos">111</span></a> <span class="k">return</span> <span class="nb">sum</span><span class="p">(</span><span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">))</span> <span class="o">-</span> <span class="p">(</span> -</span><span id="L-112"><a href="#L-112"><span class="linenos">112</span></a> <span class="nb">sum</span><span class="p">(</span><span class="mi">1</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))</span> <span class="o">+</span> <span class="mi">1</span> -</span><span id="L-113"><a href="#L-113"><span class="linenos">113</span></a> <span class="p">)</span> -</span><span id="L-114"><a href="#L-114"><span class="linenos">114</span></a> -</span><span id="L-115"><a href="#L-115"><span class="linenos">115</span></a> -</span><span id="L-116"><a href="#L-116"><span class="linenos">116</span></a><span class="k">def</span> <span class="nf">_predicate_lengths</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">):</span> -</span><span id="L-117"><a href="#L-117"><span class="linenos">117</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-118"><a href="#L-118"><span class="linenos">118</span></a><span class="sd"> Returns a list of predicate lengths when expanded to normalized form.</span> -</span><span id="L-119"><a href="#L-119"><span class="linenos">119</span></a> -</span><span id="L-120"><a href="#L-120"><span class="linenos">120</span></a><span class="sd"> (A AND B) OR C -> [2, 2] because len(A OR C), len(B OR C).</span> -</span><span id="L-121"><a href="#L-121"><span class="linenos">121</span></a><span class="sd"> """</span> -</span><span id="L-122"><a href="#L-122"><span class="linenos">122</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">unnest</span><span class="p">()</span> +</span><span id="L-64"><a href="#L-64"><span class="linenos"> 64</span></a><span class="k">def</span> <span class="nf">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">bool</span><span class="p">:</span> +</span><span id="L-65"><a href="#L-65"><span class="linenos"> 65</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-66"><a href="#L-66"><span class="linenos"> 66</span></a><span class="sd"> Checks whether a given expression is in a normal form of interest.</span> +</span><span id="L-67"><a href="#L-67"><span class="linenos"> 67</span></a> +</span><span id="L-68"><a href="#L-68"><span class="linenos"> 68</span></a><span class="sd"> Example:</span> +</span><span id="L-69"><a href="#L-69"><span class="linenos"> 69</span></a><span class="sd"> >>> from sqlglot import parse_one</span> +</span><span id="L-70"><a href="#L-70"><span class="linenos"> 70</span></a><span class="sd"> >>> normalized(parse_one("(a AND b) OR c OR (d AND e)"), dnf=True)</span> +</span><span id="L-71"><a href="#L-71"><span class="linenos"> 71</span></a><span class="sd"> True</span> +</span><span id="L-72"><a href="#L-72"><span class="linenos"> 72</span></a><span class="sd"> >>> normalized(parse_one("(a OR b) AND c")) # Checks CNF by default</span> +</span><span id="L-73"><a href="#L-73"><span class="linenos"> 73</span></a><span class="sd"> True</span> +</span><span id="L-74"><a href="#L-74"><span class="linenos"> 74</span></a><span class="sd"> >>> normalized(parse_one("a AND (b OR c)"), dnf=True)</span> +</span><span id="L-75"><a href="#L-75"><span class="linenos"> 75</span></a><span class="sd"> False</span> +</span><span id="L-76"><a href="#L-76"><span class="linenos"> 76</span></a> +</span><span id="L-77"><a href="#L-77"><span class="linenos"> 77</span></a><span class="sd"> Args:</span> +</span><span id="L-78"><a href="#L-78"><span class="linenos"> 78</span></a><span class="sd"> expression: The expression to check if it's normalized.</span> +</span><span id="L-79"><a href="#L-79"><span class="linenos"> 79</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> +</span><span id="L-80"><a href="#L-80"><span class="linenos"> 80</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> +</span><span id="L-81"><a href="#L-81"><span class="linenos"> 81</span></a><span class="sd"> """</span> +</span><span id="L-82"><a href="#L-82"><span class="linenos"> 82</span></a> <span class="n">ancestor</span><span class="p">,</span> <span class="n">root</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> +</span><span id="L-83"><a href="#L-83"><span class="linenos"> 83</span></a> <span class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span> +</span><span id="L-84"><a href="#L-84"><span class="linenos"> 84</span></a> <span class="n">connector</span><span class="o">.</span><span class="n">find_ancestor</span><span class="p">(</span><span class="n">ancestor</span><span class="p">)</span> <span class="k">for</span> <span class="n">connector</span> <span class="ow">in</span> <span class="n">find_all_in_scope</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">root</span><span class="p">)</span> +</span><span id="L-85"><a href="#L-85"><span class="linenos"> 85</span></a> <span class="p">)</span> +</span><span id="L-86"><a href="#L-86"><span class="linenos"> 86</span></a> +</span><span id="L-87"><a href="#L-87"><span class="linenos"> 87</span></a> +</span><span id="L-88"><a href="#L-88"><span class="linenos"> 88</span></a><span class="k">def</span> <span class="nf">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span> +</span><span id="L-89"><a href="#L-89"><span class="linenos"> 89</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-90"><a href="#L-90"><span class="linenos"> 90</span></a><span class="sd"> The difference in the number of predicates between a given expression and its normalized form.</span> +</span><span id="L-91"><a href="#L-91"><span class="linenos"> 91</span></a> +</span><span id="L-92"><a href="#L-92"><span class="linenos"> 92</span></a><span class="sd"> This is used as an estimate of the cost of the conversion which is exponential in complexity.</span> +</span><span id="L-93"><a href="#L-93"><span class="linenos"> 93</span></a> +</span><span id="L-94"><a href="#L-94"><span class="linenos"> 94</span></a><span class="sd"> Example:</span> +</span><span id="L-95"><a href="#L-95"><span class="linenos"> 95</span></a><span class="sd"> >>> import sqlglot</span> +</span><span id="L-96"><a href="#L-96"><span class="linenos"> 96</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> +</span><span id="L-97"><a href="#L-97"><span class="linenos"> 97</span></a><span class="sd"> >>> normalization_distance(expression)</span> +</span><span id="L-98"><a href="#L-98"><span class="linenos"> 98</span></a><span class="sd"> 4</span> +</span><span id="L-99"><a href="#L-99"><span class="linenos"> 99</span></a> +</span><span id="L-100"><a href="#L-100"><span class="linenos">100</span></a><span class="sd"> Args:</span> +</span><span id="L-101"><a href="#L-101"><span class="linenos">101</span></a><span class="sd"> expression: The expression to compute the normalization distance for.</span> +</span><span id="L-102"><a href="#L-102"><span class="linenos">102</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> +</span><span id="L-103"><a href="#L-103"><span class="linenos">103</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> +</span><span id="L-104"><a href="#L-104"><span class="linenos">104</span></a> +</span><span id="L-105"><a href="#L-105"><span class="linenos">105</span></a><span class="sd"> Returns:</span> +</span><span id="L-106"><a href="#L-106"><span class="linenos">106</span></a><span class="sd"> The normalization distance.</span> +</span><span id="L-107"><a href="#L-107"><span class="linenos">107</span></a><span class="sd"> """</span> +</span><span id="L-108"><a href="#L-108"><span class="linenos">108</span></a> <span class="k">return</span> <span class="nb">sum</span><span class="p">(</span><span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">))</span> <span class="o">-</span> <span class="p">(</span> +</span><span id="L-109"><a href="#L-109"><span class="linenos">109</span></a> <span class="nb">sum</span><span class="p">(</span><span class="mi">1</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))</span> <span class="o">+</span> <span class="mi">1</span> +</span><span id="L-110"><a href="#L-110"><span class="linenos">110</span></a> <span class="p">)</span> +</span><span id="L-111"><a href="#L-111"><span class="linenos">111</span></a> +</span><span id="L-112"><a href="#L-112"><span class="linenos">112</span></a> +</span><span id="L-113"><a href="#L-113"><span class="linenos">113</span></a><span class="k">def</span> <span class="nf">_predicate_lengths</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">):</span> +</span><span id="L-114"><a href="#L-114"><span class="linenos">114</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-115"><a href="#L-115"><span class="linenos">115</span></a><span class="sd"> Returns a list of predicate lengths when expanded to normalized form.</span> +</span><span id="L-116"><a href="#L-116"><span class="linenos">116</span></a> +</span><span id="L-117"><a href="#L-117"><span class="linenos">117</span></a><span class="sd"> (A AND B) OR C -> [2, 2] because len(A OR C), len(B OR C).</span> +</span><span id="L-118"><a href="#L-118"><span class="linenos">118</span></a><span class="sd"> """</span> +</span><span id="L-119"><a href="#L-119"><span class="linenos">119</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">unnest</span><span class="p">()</span> +</span><span id="L-120"><a href="#L-120"><span class="linenos">120</span></a> +</span><span id="L-121"><a href="#L-121"><span class="linenos">121</span></a> <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> +</span><span id="L-122"><a href="#L-122"><span class="linenos">122</span></a> <span class="k">return</span> <span class="p">(</span><span class="mi">1</span><span class="p">,)</span> </span><span id="L-123"><a href="#L-123"><span class="linenos">123</span></a> -</span><span id="L-124"><a href="#L-124"><span class="linenos">124</span></a> <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> -</span><span id="L-125"><a href="#L-125"><span class="linenos">125</span></a> <span class="k">return</span> <span class="p">(</span><span class="mi">1</span><span class="p">,)</span> -</span><span id="L-126"><a href="#L-126"><span class="linenos">126</span></a> -</span><span id="L-127"><a href="#L-127"><span class="linenos">127</span></a> <span class="n">left</span><span class="p">,</span> <span class="n">right</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">args</span><span class="o">.</span><span class="n">values</span><span class="p">()</span> -</span><span id="L-128"><a href="#L-128"><span class="linenos">128</span></a> -</span><span id="L-129"><a href="#L-129"><span class="linenos">129</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">):</span> -</span><span id="L-130"><a href="#L-130"><span class="linenos">130</span></a> <span class="k">return</span> <span class="nb">tuple</span><span class="p">(</span> -</span><span id="L-131"><a href="#L-131"><span class="linenos">131</span></a> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span> <span class="k">for</span> <span class="n">a</span> <span class="ow">in</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">left</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> <span class="k">for</span> <span class="n">b</span> <span class="ow">in</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">right</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> -</span><span id="L-132"><a href="#L-132"><span class="linenos">132</span></a> <span class="p">)</span> -</span><span id="L-133"><a href="#L-133"><span class="linenos">133</span></a> <span class="k">return</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">left</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> <span class="o">+</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">right</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> -</span><span id="L-134"><a href="#L-134"><span class="linenos">134</span></a> -</span><span id="L-135"><a href="#L-135"><span class="linenos">135</span></a> -</span><span id="L-136"><a href="#L-136"><span class="linenos">136</span></a><span class="k">def</span> <span class="nf">distributive_law</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">,</span> <span class="n">generate</span><span class="p">):</span> -</span><span id="L-137"><a href="#L-137"><span class="linenos">137</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-138"><a href="#L-138"><span class="linenos">138</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> -</span><span id="L-139"><a href="#L-139"><span class="linenos">139</span></a><span class="sd"> (x AND y) OR (y AND z) -> (x OR y) AND (x OR z) AND (y OR y) AND (y OR z)</span> -</span><span id="L-140"><a href="#L-140"><span class="linenos">140</span></a><span class="sd"> """</span> -</span><span id="L-141"><a href="#L-141"><span class="linenos">141</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> -</span><span id="L-142"><a href="#L-142"><span class="linenos">142</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="L-143"><a href="#L-143"><span class="linenos">143</span></a> -</span><span id="L-144"><a href="#L-144"><span class="linenos">144</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> +</span><span id="L-124"><a href="#L-124"><span class="linenos">124</span></a> <span class="n">left</span><span class="p">,</span> <span class="n">right</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">args</span><span class="o">.</span><span class="n">values</span><span class="p">()</span> +</span><span id="L-125"><a href="#L-125"><span class="linenos">125</span></a> +</span><span id="L-126"><a href="#L-126"><span class="linenos">126</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">):</span> +</span><span id="L-127"><a href="#L-127"><span class="linenos">127</span></a> <span class="k">return</span> <span class="nb">tuple</span><span class="p">(</span> +</span><span id="L-128"><a href="#L-128"><span class="linenos">128</span></a> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span> <span class="k">for</span> <span class="n">a</span> <span class="ow">in</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">left</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> <span class="k">for</span> <span class="n">b</span> <span class="ow">in</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">right</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> +</span><span id="L-129"><a href="#L-129"><span class="linenos">129</span></a> <span class="p">)</span> +</span><span id="L-130"><a href="#L-130"><span class="linenos">130</span></a> <span class="k">return</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">left</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> <span class="o">+</span> <span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">right</span><span class="p">,</span> <span class="n">dnf</span><span class="p">)</span> +</span><span id="L-131"><a href="#L-131"><span class="linenos">131</span></a> +</span><span id="L-132"><a href="#L-132"><span class="linenos">132</span></a> +</span><span id="L-133"><a href="#L-133"><span class="linenos">133</span></a><span class="k">def</span> <span class="nf">distributive_law</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">):</span> +</span><span id="L-134"><a href="#L-134"><span class="linenos">134</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-135"><a href="#L-135"><span class="linenos">135</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> +</span><span id="L-136"><a href="#L-136"><span class="linenos">136</span></a><span class="sd"> (x AND y) OR (y AND z) -> (x OR y) AND (x OR z) AND (y OR y) AND (y OR z)</span> +</span><span id="L-137"><a href="#L-137"><span class="linenos">137</span></a><span class="sd"> """</span> +</span><span id="L-138"><a href="#L-138"><span class="linenos">138</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> +</span><span id="L-139"><a href="#L-139"><span class="linenos">139</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-140"><a href="#L-140"><span class="linenos">140</span></a> +</span><span id="L-141"><a href="#L-141"><span class="linenos">141</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> +</span><span id="L-142"><a href="#L-142"><span class="linenos">142</span></a> +</span><span id="L-143"><a href="#L-143"><span class="linenos">143</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> +</span><span id="L-144"><a href="#L-144"><span class="linenos">144</span></a> <span class="k">raise</span> <span class="n">OptimizeError</span><span class="p">(</span><span class="sa">f</span><span class="s2">"Normalization distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span> </span><span id="L-145"><a href="#L-145"><span class="linenos">145</span></a> -</span><span id="L-146"><a href="#L-146"><span class="linenos">146</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> -</span><span id="L-147"><a href="#L-147"><span class="linenos">147</span></a> <span class="k">raise</span> <span class="n">OptimizeError</span><span class="p">(</span><span class="sa">f</span><span class="s2">"Normalization distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span> +</span><span id="L-146"><a href="#L-146"><span class="linenos">146</span></a> <span class="n">exp</span><span class="o">.</span><span class="n">replace_children</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">))</span> +</span><span id="L-147"><a href="#L-147"><span class="linenos">147</span></a> <span class="n">to_exp</span><span class="p">,</span> <span class="n">from_exp</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> </span><span id="L-148"><a href="#L-148"><span class="linenos">148</span></a> -</span><span id="L-149"><a href="#L-149"><span class="linenos">149</span></a> <span class="n">exp</span><span class="o">.</span><span class="n">replace_children</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">,</span> <span class="n">generate</span><span class="p">))</span> -</span><span id="L-150"><a href="#L-150"><span class="linenos">150</span></a> <span class="n">to_exp</span><span class="p">,</span> <span class="n">from_exp</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> +</span><span id="L-149"><a href="#L-149"><span class="linenos">149</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">from_exp</span><span class="p">):</span> +</span><span id="L-150"><a href="#L-150"><span class="linenos">150</span></a> <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">unnest_operands</span><span class="p">()</span> </span><span id="L-151"><a href="#L-151"><span class="linenos">151</span></a> -</span><span id="L-152"><a href="#L-152"><span class="linenos">152</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">from_exp</span><span class="p">):</span> -</span><span id="L-153"><a href="#L-153"><span class="linenos">153</span></a> <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">unnest_operands</span><span class="p">()</span> +</span><span id="L-152"><a href="#L-152"><span class="linenos">152</span></a> <span class="n">from_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">from_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> +</span><span id="L-153"><a href="#L-153"><span class="linenos">153</span></a> <span class="n">to_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">to_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> </span><span id="L-154"><a href="#L-154"><span class="linenos">154</span></a> -</span><span id="L-155"><a href="#L-155"><span class="linenos">155</span></a> <span class="n">from_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">from_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> -</span><span id="L-156"><a href="#L-156"><span class="linenos">156</span></a> <span class="n">to_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">to_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> -</span><span id="L-157"><a href="#L-157"><span class="linenos">157</span></a> -</span><span id="L-158"><a href="#L-158"><span class="linenos">158</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> -</span><span id="L-159"><a href="#L-159"><span class="linenos">159</span></a> <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">a</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">)))</span> <span class="o">></span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">b</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> -</span><span id="L-160"><a href="#L-160"><span class="linenos">160</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="L-161"><a href="#L-161"><span class="linenos">161</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="L-162"><a href="#L-162"><span class="linenos">162</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> -</span><span id="L-163"><a href="#L-163"><span class="linenos">163</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="L-164"><a href="#L-164"><span class="linenos">164</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> -</span><span id="L-165"><a href="#L-165"><span class="linenos">165</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> +</span><span id="L-155"><a href="#L-155"><span class="linenos">155</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> +</span><span id="L-156"><a href="#L-156"><span class="linenos">156</span></a> <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">a</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">)))</span> <span class="o">></span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">b</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> +</span><span id="L-157"><a href="#L-157"><span class="linenos">157</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="L-158"><a href="#L-158"><span class="linenos">158</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="L-159"><a href="#L-159"><span class="linenos">159</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> +</span><span id="L-160"><a href="#L-160"><span class="linenos">160</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="L-161"><a href="#L-161"><span class="linenos">161</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> +</span><span id="L-162"><a href="#L-162"><span class="linenos">162</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="L-163"><a href="#L-163"><span class="linenos">163</span></a> +</span><span id="L-164"><a href="#L-164"><span class="linenos">164</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-165"><a href="#L-165"><span class="linenos">165</span></a> </span><span id="L-166"><a href="#L-166"><span class="linenos">166</span></a> -</span><span id="L-167"><a href="#L-167"><span class="linenos">167</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="L-168"><a href="#L-168"><span class="linenos">168</span></a> -</span><span id="L-169"><a href="#L-169"><span class="linenos">169</span></a> -</span><span id="L-170"><a href="#L-170"><span class="linenos">170</span></a><span class="k">def</span> <span class="nf">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">):</span> -</span><span id="L-171"><a href="#L-171"><span class="linenos">171</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> -</span><span id="L-172"><a href="#L-172"><span class="linenos">172</span></a> <span class="n">exp</span><span class="o">.</span><span class="n">replace_children</span><span class="p">(</span> -</span><span id="L-173"><a href="#L-173"><span class="linenos">173</span></a> <span class="n">a</span><span class="p">,</span> -</span><span id="L-174"><a href="#L-174"><span class="linenos">174</span></a> <span class="k">lambda</span> <span class="n">c</span><span class="p">:</span> <span class="n">to_func</span><span class="p">(</span> -</span><span id="L-175"><a href="#L-175"><span class="linenos">175</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">left</span><span class="p">)),</span> <span class="n">generate</span><span class="p">),</span> -</span><span id="L-176"><a href="#L-176"><span class="linenos">176</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">right</span><span class="p">)),</span> <span class="n">generate</span><span class="p">),</span> -</span><span id="L-177"><a href="#L-177"><span class="linenos">177</span></a> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> -</span><span id="L-178"><a href="#L-178"><span class="linenos">178</span></a> <span class="p">),</span> -</span><span id="L-179"><a href="#L-179"><span class="linenos">179</span></a> <span class="p">)</span> -</span><span id="L-180"><a href="#L-180"><span class="linenos">180</span></a> <span class="k">else</span><span class="p">:</span> -</span><span id="L-181"><a href="#L-181"><span class="linenos">181</span></a> <span class="n">a</span> <span class="o">=</span> <span class="n">to_func</span><span class="p">(</span> -</span><span id="L-182"><a href="#L-182"><span class="linenos">182</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">left</span><span class="p">)),</span> <span class="n">generate</span><span class="p">),</span> -</span><span id="L-183"><a href="#L-183"><span class="linenos">183</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">right</span><span class="p">)),</span> <span class="n">generate</span><span class="p">),</span> -</span><span id="L-184"><a href="#L-184"><span class="linenos">184</span></a> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> -</span><span id="L-185"><a href="#L-185"><span class="linenos">185</span></a> <span class="p">)</span> -</span><span id="L-186"><a href="#L-186"><span class="linenos">186</span></a> -</span><span id="L-187"><a href="#L-187"><span class="linenos">187</span></a> <span class="k">return</span> <span class="n">a</span> +</span><span id="L-167"><a href="#L-167"><span class="linenos">167</span></a><span class="k">def</span> <span class="nf">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">):</span> +</span><span id="L-168"><a href="#L-168"><span class="linenos">168</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> +</span><span id="L-169"><a href="#L-169"><span class="linenos">169</span></a> <span class="n">exp</span><span class="o">.</span><span class="n">replace_children</span><span class="p">(</span> +</span><span id="L-170"><a href="#L-170"><span class="linenos">170</span></a> <span class="n">a</span><span class="p">,</span> +</span><span id="L-171"><a href="#L-171"><span class="linenos">171</span></a> <span class="k">lambda</span> <span class="n">c</span><span class="p">:</span> <span class="n">to_func</span><span class="p">(</span> +</span><span id="L-172"><a href="#L-172"><span class="linenos">172</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">left</span><span class="p">))),</span> +</span><span id="L-173"><a href="#L-173"><span class="linenos">173</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">right</span><span class="p">))),</span> +</span><span id="L-174"><a href="#L-174"><span class="linenos">174</span></a> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> +</span><span id="L-175"><a href="#L-175"><span class="linenos">175</span></a> <span class="p">),</span> +</span><span id="L-176"><a href="#L-176"><span class="linenos">176</span></a> <span class="p">)</span> +</span><span id="L-177"><a href="#L-177"><span class="linenos">177</span></a> <span class="k">else</span><span class="p">:</span> +</span><span id="L-178"><a href="#L-178"><span class="linenos">178</span></a> <span class="n">a</span> <span class="o">=</span> <span class="n">to_func</span><span class="p">(</span> +</span><span id="L-179"><a href="#L-179"><span class="linenos">179</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">left</span><span class="p">))),</span> +</span><span id="L-180"><a href="#L-180"><span class="linenos">180</span></a> <span class="n">uniq_sort</span><span class="p">(</span><span class="n">flatten</span><span class="p">(</span><span class="n">from_func</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">right</span><span class="p">))),</span> +</span><span id="L-181"><a href="#L-181"><span class="linenos">181</span></a> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> +</span><span id="L-182"><a href="#L-182"><span class="linenos">182</span></a> <span class="p">)</span> +</span><span id="L-183"><a href="#L-183"><span class="linenos">183</span></a> +</span><span id="L-184"><a href="#L-184"><span class="linenos">184</span></a> <span class="k">return</span> <span class="n">a</span> </span></pre></div> @@ -282,56 +279,54 @@ </div> <a class="headerlink" href="#normalize"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="normalize-16"><a href="#normalize-16"><span class="linenos">16</span></a><span class="k">def</span> <span class="nf">normalize</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">:</span> <span class="nb">int</span> <span class="o">=</span> <span class="mi">128</span><span class="p">):</span> -</span><span id="normalize-17"><a href="#normalize-17"><span class="linenos">17</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="normalize-18"><a href="#normalize-18"><span class="linenos">18</span></a><span class="sd"> Rewrite sqlglot AST into conjunctive normal form or disjunctive normal form.</span> -</span><span id="normalize-19"><a href="#normalize-19"><span class="linenos">19</span></a> -</span><span id="normalize-20"><a href="#normalize-20"><span class="linenos">20</span></a><span class="sd"> Example:</span> -</span><span id="normalize-21"><a href="#normalize-21"><span class="linenos">21</span></a><span class="sd"> >>> import sqlglot</span> -</span><span id="normalize-22"><a href="#normalize-22"><span class="linenos">22</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(x AND y) OR z")</span> -</span><span id="normalize-23"><a href="#normalize-23"><span class="linenos">23</span></a><span class="sd"> >>> normalize(expression, dnf=False).sql()</span> -</span><span id="normalize-24"><a href="#normalize-24"><span class="linenos">24</span></a><span class="sd"> '(x OR z) AND (y OR z)'</span> -</span><span id="normalize-25"><a href="#normalize-25"><span class="linenos">25</span></a> -</span><span id="normalize-26"><a href="#normalize-26"><span class="linenos">26</span></a><span class="sd"> Args:</span> -</span><span id="normalize-27"><a href="#normalize-27"><span class="linenos">27</span></a><span class="sd"> expression: expression to normalize</span> -</span><span id="normalize-28"><a href="#normalize-28"><span class="linenos">28</span></a><span class="sd"> dnf: rewrite in disjunctive normal form instead.</span> -</span><span id="normalize-29"><a href="#normalize-29"><span class="linenos">29</span></a><span class="sd"> max_distance (int): the maximal estimated distance from cnf/dnf to attempt conversion</span> -</span><span id="normalize-30"><a href="#normalize-30"><span class="linenos">30</span></a><span class="sd"> Returns:</span> -</span><span id="normalize-31"><a href="#normalize-31"><span class="linenos">31</span></a><span class="sd"> sqlglot.Expression: normalized expression</span> -</span><span id="normalize-32"><a href="#normalize-32"><span class="linenos">32</span></a><span class="sd"> """</span> -</span><span id="normalize-33"><a href="#normalize-33"><span class="linenos">33</span></a> <span class="n">generate</span> <span class="o">=</span> <span class="n">cached_generator</span><span class="p">()</span> -</span><span id="normalize-34"><a href="#normalize-34"><span class="linenos">34</span></a> -</span><span id="normalize-35"><a href="#normalize-35"><span class="linenos">35</span></a> <span class="k">for</span> <span class="n">node</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span> <span class="ow">in</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">expression</span><span class="o">.</span><span class="n">walk</span><span class="p">(</span><span class="n">prune</span><span class="o">=</span><span class="k">lambda</span> <span class="n">e</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span><span class="p">:</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> -</span><span id="normalize-36"><a href="#normalize-36"><span class="linenos">36</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> -</span><span id="normalize-37"><a href="#normalize-37"><span class="linenos">37</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> -</span><span id="normalize-38"><a href="#normalize-38"><span class="linenos">38</span></a> <span class="k">continue</span> -</span><span id="normalize-39"><a href="#normalize-39"><span class="linenos">39</span></a> <span class="n">root</span> <span class="o">=</span> <span class="n">node</span> <span class="ow">is</span> <span class="n">expression</span> -</span><span id="normalize-40"><a href="#normalize-40"><span class="linenos">40</span></a> <span class="n">original</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span> + <div class="pdoc-code codehilite"><pre><span></span><span id="normalize-15"><a href="#normalize-15"><span class="linenos">15</span></a><span class="k">def</span> <span class="nf">normalize</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">:</span> <span class="nb">int</span> <span class="o">=</span> <span class="mi">128</span><span class="p">):</span> +</span><span id="normalize-16"><a href="#normalize-16"><span class="linenos">16</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="normalize-17"><a href="#normalize-17"><span class="linenos">17</span></a><span class="sd"> Rewrite sqlglot AST into conjunctive normal form or disjunctive normal form.</span> +</span><span id="normalize-18"><a href="#normalize-18"><span class="linenos">18</span></a> +</span><span id="normalize-19"><a href="#normalize-19"><span class="linenos">19</span></a><span class="sd"> Example:</span> +</span><span id="normalize-20"><a href="#normalize-20"><span class="linenos">20</span></a><span class="sd"> >>> import sqlglot</span> +</span><span id="normalize-21"><a href="#normalize-21"><span class="linenos">21</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(x AND y) OR z")</span> +</span><span id="normalize-22"><a href="#normalize-22"><span class="linenos">22</span></a><span class="sd"> >>> normalize(expression, dnf=False).sql()</span> +</span><span id="normalize-23"><a href="#normalize-23"><span class="linenos">23</span></a><span class="sd"> '(x OR z) AND (y OR z)'</span> +</span><span id="normalize-24"><a href="#normalize-24"><span class="linenos">24</span></a> +</span><span id="normalize-25"><a href="#normalize-25"><span class="linenos">25</span></a><span class="sd"> Args:</span> +</span><span id="normalize-26"><a href="#normalize-26"><span class="linenos">26</span></a><span class="sd"> expression: expression to normalize</span> +</span><span id="normalize-27"><a href="#normalize-27"><span class="linenos">27</span></a><span class="sd"> dnf: rewrite in disjunctive normal form instead.</span> +</span><span id="normalize-28"><a href="#normalize-28"><span class="linenos">28</span></a><span class="sd"> max_distance (int): the maximal estimated distance from cnf/dnf to attempt conversion</span> +</span><span id="normalize-29"><a href="#normalize-29"><span class="linenos">29</span></a><span class="sd"> Returns:</span> +</span><span id="normalize-30"><a href="#normalize-30"><span class="linenos">30</span></a><span class="sd"> sqlglot.Expression: normalized expression</span> +</span><span id="normalize-31"><a href="#normalize-31"><span class="linenos">31</span></a><span class="sd"> """</span> +</span><span id="normalize-32"><a href="#normalize-32"><span class="linenos">32</span></a> <span class="k">for</span> <span class="n">node</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span> <span class="ow">in</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">expression</span><span class="o">.</span><span class="n">walk</span><span class="p">(</span><span class="n">prune</span><span class="o">=</span><span class="k">lambda</span> <span class="n">e</span><span class="p">,</span> <span class="o">*</span><span class="n">_</span><span class="p">:</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> +</span><span id="normalize-33"><a href="#normalize-33"><span class="linenos">33</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">):</span> +</span><span id="normalize-34"><a href="#normalize-34"><span class="linenos">34</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> +</span><span id="normalize-35"><a href="#normalize-35"><span class="linenos">35</span></a> <span class="k">continue</span> +</span><span id="normalize-36"><a href="#normalize-36"><span class="linenos">36</span></a> <span class="n">root</span> <span class="o">=</span> <span class="n">node</span> <span class="ow">is</span> <span class="n">expression</span> +</span><span id="normalize-37"><a href="#normalize-37"><span class="linenos">37</span></a> <span class="n">original</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span> +</span><span id="normalize-38"><a href="#normalize-38"><span class="linenos">38</span></a> +</span><span id="normalize-39"><a href="#normalize-39"><span class="linenos">39</span></a> <span class="n">node</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">rewrite_between</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span> +</span><span id="normalize-40"><a href="#normalize-40"><span class="linenos">40</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> </span><span id="normalize-41"><a href="#normalize-41"><span class="linenos">41</span></a> -</span><span id="normalize-42"><a href="#normalize-42"><span class="linenos">42</span></a> <span class="n">node</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">rewrite_between</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span> -</span><span id="normalize-43"><a href="#normalize-43"><span class="linenos">43</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> -</span><span id="normalize-44"><a href="#normalize-44"><span class="linenos">44</span></a> -</span><span id="normalize-45"><a href="#normalize-45"><span class="linenos">45</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> -</span><span id="normalize-46"><a href="#normalize-46"><span class="linenos">46</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span> -</span><span id="normalize-47"><a href="#normalize-47"><span class="linenos">47</span></a> <span class="sa">f</span><span class="s2">"Skipping normalization because distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span> -</span><span id="normalize-48"><a href="#normalize-48"><span class="linenos">48</span></a> <span class="p">)</span> -</span><span id="normalize-49"><a href="#normalize-49"><span class="linenos">49</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="normalize-50"><a href="#normalize-50"><span class="linenos">50</span></a> -</span><span id="normalize-51"><a href="#normalize-51"><span class="linenos">51</span></a> <span class="k">try</span><span class="p">:</span> -</span><span id="normalize-52"><a href="#normalize-52"><span class="linenos">52</span></a> <span class="n">node</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span> -</span><span id="normalize-53"><a href="#normalize-53"><span class="linenos">53</span></a> <span class="n">while_changing</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">,</span> <span class="n">generate</span><span class="p">))</span> -</span><span id="normalize-54"><a href="#normalize-54"><span class="linenos">54</span></a> <span class="p">)</span> -</span><span id="normalize-55"><a href="#normalize-55"><span class="linenos">55</span></a> <span class="k">except</span> <span class="n">OptimizeError</span> <span class="k">as</span> <span class="n">e</span><span class="p">:</span> -</span><span id="normalize-56"><a href="#normalize-56"><span class="linenos">56</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span><span class="n">e</span><span class="p">)</span> -</span><span id="normalize-57"><a href="#normalize-57"><span class="linenos">57</span></a> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="n">original</span><span class="p">)</span> -</span><span id="normalize-58"><a href="#normalize-58"><span class="linenos">58</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> -</span><span id="normalize-59"><a href="#normalize-59"><span class="linenos">59</span></a> <span class="k">return</span> <span class="n">original</span> -</span><span id="normalize-60"><a href="#normalize-60"><span class="linenos">60</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="normalize-42"><a href="#normalize-42"><span class="linenos">42</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> +</span><span id="normalize-43"><a href="#normalize-43"><span class="linenos">43</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span> +</span><span id="normalize-44"><a href="#normalize-44"><span class="linenos">44</span></a> <span class="sa">f</span><span class="s2">"Skipping normalization because distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span> +</span><span id="normalize-45"><a href="#normalize-45"><span class="linenos">45</span></a> <span class="p">)</span> +</span><span id="normalize-46"><a href="#normalize-46"><span class="linenos">46</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="normalize-47"><a href="#normalize-47"><span class="linenos">47</span></a> +</span><span id="normalize-48"><a href="#normalize-48"><span class="linenos">48</span></a> <span class="k">try</span><span class="p">:</span> +</span><span id="normalize-49"><a href="#normalize-49"><span class="linenos">49</span></a> <span class="n">node</span> <span class="o">=</span> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span> +</span><span id="normalize-50"><a href="#normalize-50"><span class="linenos">50</span></a> <span class="n">while_changing</span><span class="p">(</span><span class="n">node</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">))</span> +</span><span id="normalize-51"><a href="#normalize-51"><span class="linenos">51</span></a> <span class="p">)</span> +</span><span id="normalize-52"><a href="#normalize-52"><span class="linenos">52</span></a> <span class="k">except</span> <span class="n">OptimizeError</span> <span class="k">as</span> <span class="n">e</span><span class="p">:</span> +</span><span id="normalize-53"><a href="#normalize-53"><span class="linenos">53</span></a> <span class="n">logger</span><span class="o">.</span><span class="n">info</span><span class="p">(</span><span class="n">e</span><span class="p">)</span> +</span><span id="normalize-54"><a href="#normalize-54"><span class="linenos">54</span></a> <span class="n">node</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="n">original</span><span class="p">)</span> +</span><span id="normalize-55"><a href="#normalize-55"><span class="linenos">55</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="normalize-56"><a href="#normalize-56"><span class="linenos">56</span></a> <span class="k">return</span> <span class="n">original</span> +</span><span id="normalize-57"><a href="#normalize-57"><span class="linenos">57</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="normalize-58"><a href="#normalize-58"><span class="linenos">58</span></a> +</span><span id="normalize-59"><a href="#normalize-59"><span class="linenos">59</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="normalize-60"><a href="#normalize-60"><span class="linenos">60</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">node</span> </span><span id="normalize-61"><a href="#normalize-61"><span class="linenos">61</span></a> -</span><span id="normalize-62"><a href="#normalize-62"><span class="linenos">62</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> -</span><span id="normalize-63"><a href="#normalize-63"><span class="linenos">63</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">node</span> -</span><span id="normalize-64"><a href="#normalize-64"><span class="linenos">64</span></a> -</span><span id="normalize-65"><a href="#normalize-65"><span class="linenos">65</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="normalize-62"><a href="#normalize-62"><span class="linenos">62</span></a> <span class="k">return</span> <span class="n">expression</span> </span></pre></div> @@ -377,28 +372,28 @@ </div> <a class="headerlink" href="#normalized"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="normalized-68"><a href="#normalized-68"><span class="linenos">68</span></a><span class="k">def</span> <span class="nf">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">bool</span><span class="p">:</span> -</span><span id="normalized-69"><a href="#normalized-69"><span class="linenos">69</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="normalized-70"><a href="#normalized-70"><span class="linenos">70</span></a><span class="sd"> Checks whether a given expression is in a normal form of interest.</span> -</span><span id="normalized-71"><a href="#normalized-71"><span class="linenos">71</span></a> -</span><span id="normalized-72"><a href="#normalized-72"><span class="linenos">72</span></a><span class="sd"> Example:</span> -</span><span id="normalized-73"><a href="#normalized-73"><span class="linenos">73</span></a><span class="sd"> >>> from sqlglot import parse_one</span> -</span><span id="normalized-74"><a href="#normalized-74"><span class="linenos">74</span></a><span class="sd"> >>> normalized(parse_one("(a AND b) OR c OR (d AND e)"), dnf=True)</span> -</span><span id="normalized-75"><a href="#normalized-75"><span class="linenos">75</span></a><span class="sd"> True</span> -</span><span id="normalized-76"><a href="#normalized-76"><span class="linenos">76</span></a><span class="sd"> >>> normalized(parse_one("(a OR b) AND c")) # Checks CNF by default</span> -</span><span id="normalized-77"><a href="#normalized-77"><span class="linenos">77</span></a><span class="sd"> True</span> -</span><span id="normalized-78"><a href="#normalized-78"><span class="linenos">78</span></a><span class="sd"> >>> normalized(parse_one("a AND (b OR c)"), dnf=True)</span> -</span><span id="normalized-79"><a href="#normalized-79"><span class="linenos">79</span></a><span class="sd"> False</span> -</span><span id="normalized-80"><a href="#normalized-80"><span class="linenos">80</span></a> -</span><span id="normalized-81"><a href="#normalized-81"><span class="linenos">81</span></a><span class="sd"> Args:</span> -</span><span id="normalized-82"><a href="#normalized-82"><span class="linenos">82</span></a><span class="sd"> expression: The expression to check if it's normalized.</span> -</span><span id="normalized-83"><a href="#normalized-83"><span class="linenos">83</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> -</span><span id="normalized-84"><a href="#normalized-84"><span class="linenos">84</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> -</span><span id="normalized-85"><a href="#normalized-85"><span class="linenos">85</span></a><span class="sd"> """</span> -</span><span id="normalized-86"><a href="#normalized-86"><span class="linenos">86</span></a> <span class="n">ancestor</span><span class="p">,</span> <span class="n">root</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> -</span><span id="normalized-87"><a href="#normalized-87"><span class="linenos">87</span></a> <span class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span> -</span><span id="normalized-88"><a href="#normalized-88"><span class="linenos">88</span></a> <span class="n">connector</span><span class="o">.</span><span class="n">find_ancestor</span><span class="p">(</span><span class="n">ancestor</span><span class="p">)</span> <span class="k">for</span> <span class="n">connector</span> <span class="ow">in</span> <span class="n">find_all_in_scope</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">root</span><span class="p">)</span> -</span><span id="normalized-89"><a href="#normalized-89"><span class="linenos">89</span></a> <span class="p">)</span> + <div class="pdoc-code codehilite"><pre><span></span><span id="normalized-65"><a href="#normalized-65"><span class="linenos">65</span></a><span class="k">def</span> <span class="nf">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">bool</span><span class="p">:</span> +</span><span id="normalized-66"><a href="#normalized-66"><span class="linenos">66</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="normalized-67"><a href="#normalized-67"><span class="linenos">67</span></a><span class="sd"> Checks whether a given expression is in a normal form of interest.</span> +</span><span id="normalized-68"><a href="#normalized-68"><span class="linenos">68</span></a> +</span><span id="normalized-69"><a href="#normalized-69"><span class="linenos">69</span></a><span class="sd"> Example:</span> +</span><span id="normalized-70"><a href="#normalized-70"><span class="linenos">70</span></a><span class="sd"> >>> from sqlglot import parse_one</span> +</span><span id="normalized-71"><a href="#normalized-71"><span class="linenos">71</span></a><span class="sd"> >>> normalized(parse_one("(a AND b) OR c OR (d AND e)"), dnf=True)</span> +</span><span id="normalized-72"><a href="#normalized-72"><span class="linenos">72</span></a><span class="sd"> True</span> +</span><span id="normalized-73"><a href="#normalized-73"><span class="linenos">73</span></a><span class="sd"> >>> normalized(parse_one("(a OR b) AND c")) # Checks CNF by default</span> +</span><span id="normalized-74"><a href="#normalized-74"><span class="linenos">74</span></a><span class="sd"> True</span> +</span><span id="normalized-75"><a href="#normalized-75"><span class="linenos">75</span></a><span class="sd"> >>> normalized(parse_one("a AND (b OR c)"), dnf=True)</span> +</span><span id="normalized-76"><a href="#normalized-76"><span class="linenos">76</span></a><span class="sd"> False</span> +</span><span id="normalized-77"><a href="#normalized-77"><span class="linenos">77</span></a> +</span><span id="normalized-78"><a href="#normalized-78"><span class="linenos">78</span></a><span class="sd"> Args:</span> +</span><span id="normalized-79"><a href="#normalized-79"><span class="linenos">79</span></a><span class="sd"> expression: The expression to check if it's normalized.</span> +</span><span id="normalized-80"><a href="#normalized-80"><span class="linenos">80</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> +</span><span id="normalized-81"><a href="#normalized-81"><span class="linenos">81</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> +</span><span id="normalized-82"><a href="#normalized-82"><span class="linenos">82</span></a><span class="sd"> """</span> +</span><span id="normalized-83"><a href="#normalized-83"><span class="linenos">83</span></a> <span class="n">ancestor</span><span class="p">,</span> <span class="n">root</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> +</span><span id="normalized-84"><a href="#normalized-84"><span class="linenos">84</span></a> <span class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span> +</span><span id="normalized-85"><a href="#normalized-85"><span class="linenos">85</span></a> <span class="n">connector</span><span class="o">.</span><span class="n">find_ancestor</span><span class="p">(</span><span class="n">ancestor</span><span class="p">)</span> <span class="k">for</span> <span class="n">connector</span> <span class="ow">in</span> <span class="n">find_all_in_scope</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">root</span><span class="p">)</span> +</span><span id="normalized-86"><a href="#normalized-86"><span class="linenos">86</span></a> <span class="p">)</span> </span></pre></div> @@ -441,29 +436,29 @@ Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</li> </div> <a class="headerlink" href="#normalization_distance"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="normalization_distance-92"><a href="#normalization_distance-92"><span class="linenos"> 92</span></a><span class="k">def</span> <span class="nf">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span> -</span><span id="normalization_distance-93"><a href="#normalization_distance-93"><span class="linenos"> 93</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="normalization_distance-94"><a href="#normalization_distance-94"><span class="linenos"> 94</span></a><span class="sd"> The difference in the number of predicates between a given expression and its normalized form.</span> -</span><span id="normalization_distance-95"><a href="#normalization_distance-95"><span class="linenos"> 95</span></a> -</span><span id="normalization_distance-96"><a href="#normalization_distance-96"><span class="linenos"> 96</span></a><span class="sd"> This is used as an estimate of the cost of the conversion which is exponential in complexity.</span> -</span><span id="normalization_distance-97"><a href="#normalization_distance-97"><span class="linenos"> 97</span></a> -</span><span id="normalization_distance-98"><a href="#normalization_distance-98"><span class="linenos"> 98</span></a><span class="sd"> Example:</span> -</span><span id="normalization_distance-99"><a href="#normalization_distance-99"><span class="linenos"> 99</span></a><span class="sd"> >>> import sqlglot</span> -</span><span id="normalization_distance-100"><a href="#normalization_distance-100"><span class="linenos">100</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> -</span><span id="normalization_distance-101"><a href="#normalization_distance-101"><span class="linenos">101</span></a><span class="sd"> >>> normalization_distance(expression)</span> -</span><span id="normalization_distance-102"><a href="#normalization_distance-102"><span class="linenos">102</span></a><span class="sd"> 4</span> -</span><span id="normalization_distance-103"><a href="#normalization_distance-103"><span class="linenos">103</span></a> -</span><span id="normalization_distance-104"><a href="#normalization_distance-104"><span class="linenos">104</span></a><span class="sd"> Args:</span> -</span><span id="normalization_distance-105"><a href="#normalization_distance-105"><span class="linenos">105</span></a><span class="sd"> expression: The expression to compute the normalization distance for.</span> -</span><span id="normalization_distance-106"><a href="#normalization_distance-106"><span class="linenos">106</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> -</span><span id="normalization_distance-107"><a href="#normalization_distance-107"><span class="linenos">107</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> -</span><span id="normalization_distance-108"><a href="#normalization_distance-108"><span class="linenos">108</span></a> -</span><span id="normalization_distance-109"><a href="#normalization_distance-109"><span class="linenos">109</span></a><span class="sd"> Returns:</span> -</span><span id="normalization_distance-110"><a href="#normalization_distance-110"><span class="linenos">110</span></a><span class="sd"> The normalization distance.</span> -</span><span id="normalization_distance-111"><a href="#normalization_distance-111"><span class="linenos">111</span></a><span class="sd"> """</span> -</span><span id="normalization_distance-112"><a href="#normalization_distance-112"><span class="linenos">112</span></a> <span class="k">return</span> <span class="nb">sum</span><span class="p">(</span><span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">))</span> <span class="o">-</span> <span class="p">(</span> -</span><span id="normalization_distance-113"><a href="#normalization_distance-113"><span class="linenos">113</span></a> <span class="nb">sum</span><span class="p">(</span><span class="mi">1</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))</span> <span class="o">+</span> <span class="mi">1</span> -</span><span id="normalization_distance-114"><a href="#normalization_distance-114"><span class="linenos">114</span></a> <span class="p">)</span> + <div class="pdoc-code codehilite"><pre><span></span><span id="normalization_distance-89"><a href="#normalization_distance-89"><span class="linenos"> 89</span></a><span class="k">def</span> <span class="nf">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">:</span> <span class="n">exp</span><span class="o">.</span><span class="n">Expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">:</span> <span class="nb">bool</span> <span class="o">=</span> <span class="kc">False</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span> +</span><span id="normalization_distance-90"><a href="#normalization_distance-90"><span class="linenos"> 90</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="normalization_distance-91"><a href="#normalization_distance-91"><span class="linenos"> 91</span></a><span class="sd"> The difference in the number of predicates between a given expression and its normalized form.</span> +</span><span id="normalization_distance-92"><a href="#normalization_distance-92"><span class="linenos"> 92</span></a> +</span><span id="normalization_distance-93"><a href="#normalization_distance-93"><span class="linenos"> 93</span></a><span class="sd"> This is used as an estimate of the cost of the conversion which is exponential in complexity.</span> +</span><span id="normalization_distance-94"><a href="#normalization_distance-94"><span class="linenos"> 94</span></a> +</span><span id="normalization_distance-95"><a href="#normalization_distance-95"><span class="linenos"> 95</span></a><span class="sd"> Example:</span> +</span><span id="normalization_distance-96"><a href="#normalization_distance-96"><span class="linenos"> 96</span></a><span class="sd"> >>> import sqlglot</span> +</span><span id="normalization_distance-97"><a href="#normalization_distance-97"><span class="linenos"> 97</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> +</span><span id="normalization_distance-98"><a href="#normalization_distance-98"><span class="linenos"> 98</span></a><span class="sd"> >>> normalization_distance(expression)</span> +</span><span id="normalization_distance-99"><a href="#normalization_distance-99"><span class="linenos"> 99</span></a><span class="sd"> 4</span> +</span><span id="normalization_distance-100"><a href="#normalization_distance-100"><span class="linenos">100</span></a> +</span><span id="normalization_distance-101"><a href="#normalization_distance-101"><span class="linenos">101</span></a><span class="sd"> Args:</span> +</span><span id="normalization_distance-102"><a href="#normalization_distance-102"><span class="linenos">102</span></a><span class="sd"> expression: The expression to compute the normalization distance for.</span> +</span><span id="normalization_distance-103"><a href="#normalization_distance-103"><span class="linenos">103</span></a><span class="sd"> dnf: Whether or not to check if the expression is in Disjunctive Normal Form (DNF).</span> +</span><span id="normalization_distance-104"><a href="#normalization_distance-104"><span class="linenos">104</span></a><span class="sd"> Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</span> +</span><span id="normalization_distance-105"><a href="#normalization_distance-105"><span class="linenos">105</span></a> +</span><span id="normalization_distance-106"><a href="#normalization_distance-106"><span class="linenos">106</span></a><span class="sd"> Returns:</span> +</span><span id="normalization_distance-107"><a href="#normalization_distance-107"><span class="linenos">107</span></a><span class="sd"> The normalization distance.</span> +</span><span id="normalization_distance-108"><a href="#normalization_distance-108"><span class="linenos">108</span></a><span class="sd"> """</span> +</span><span id="normalization_distance-109"><a href="#normalization_distance-109"><span class="linenos">109</span></a> <span class="k">return</span> <span class="nb">sum</span><span class="p">(</span><span class="n">_predicate_lengths</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">))</span> <span class="o">-</span> <span class="p">(</span> +</span><span id="normalization_distance-110"><a href="#normalization_distance-110"><span class="linenos">110</span></a> <span class="nb">sum</span><span class="p">(</span><span class="mi">1</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))</span> <span class="o">+</span> <span class="mi">1</span> +</span><span id="normalization_distance-111"><a href="#normalization_distance-111"><span class="linenos">111</span></a> <span class="p">)</span> </span></pre></div> @@ -505,44 +500,44 @@ Default: False, i.e. we check if it's in Conjunctive Normal Form (CNF).</li> <div class="attr function"> <span class="def">def</span> - <span class="name">distributive_law</span><span class="signature pdoc-code condensed">(<span class="param"><span class="n">expression</span>, </span><span class="param"><span class="n">dnf</span>, </span><span class="param"><span class="n">max_distance</span>, </span><span class="param"><span class="n">generate</span></span><span class="return-annotation">):</span></span> + <span class="name">distributive_law</span><span class="signature pdoc-code condensed">(<span class="param"><span class="n">expression</span>, </span><span class="param"><span class="n">dnf</span>, </span><span class="param"><span class="n">max_distance</span></span><span class="return-annotation">):</span></span> <label class="view-source-button" for="distributive_law-view-source"><span>View Source</span></label> </div> <a class="headerlink" href="#distributive_law"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="distributive_law-137"><a href="#distributive_law-137"><span class="linenos">137</span></a><span class="k">def</span> <span class="nf">distributive_law</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">,</span> <span class="n">generate</span><span class="p">):</span> -</span><span id="distributive_law-138"><a href="#distributive_law-138"><span class="linenos">138</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="distributive_law-139"><a href="#distributive_law-139"><span class="linenos">139</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> -</span><span id="distributive_law-140"><a href="#distributive_law-140"><span class="linenos">140</span></a><span class="sd"> (x AND y) OR (y AND z) -> (x OR y) AND (x OR z) AND (y OR y) AND (y OR z)</span> -</span><span id="distributive_law-141"><a href="#distributive_law-141"><span class="linenos">141</span></a><span class="sd"> """</span> -</span><span id="distributive_law-142"><a href="#distributive_law-142"><span class="linenos">142</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> -</span><span id="distributive_law-143"><a href="#distributive_law-143"><span class="linenos">143</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="distributive_law-144"><a href="#distributive_law-144"><span class="linenos">144</span></a> -</span><span id="distributive_law-145"><a href="#distributive_law-145"><span class="linenos">145</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> + <div class="pdoc-code codehilite"><pre><span></span><span id="distributive_law-134"><a href="#distributive_law-134"><span class="linenos">134</span></a><span class="k">def</span> <span class="nf">distributive_law</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">):</span> +</span><span id="distributive_law-135"><a href="#distributive_law-135"><span class="linenos">135</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="distributive_law-136"><a href="#distributive_law-136"><span class="linenos">136</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> +</span><span id="distributive_law-137"><a href="#distributive_law-137"><span class="linenos">137</span></a><span class="sd"> (x AND y) OR (y AND z) -> (x OR y) AND (x OR z) AND (y OR y) AND (y OR z)</span> +</span><span id="distributive_law-138"><a href="#distributive_law-138"><span class="linenos">138</span></a><span class="sd"> """</span> +</span><span id="distributive_law-139"><a href="#distributive_law-139"><span class="linenos">139</span></a> <span class="k">if</span> <span class="n">normalized</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">):</span> +</span><span id="distributive_law-140"><a href="#distributive_law-140"><span class="linenos">140</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="distributive_law-141"><a href="#distributive_law-141"><span class="linenos">141</span></a> +</span><span id="distributive_law-142"><a href="#distributive_law-142"><span class="linenos">142</span></a> <span class="n">distance</span> <span class="o">=</span> <span class="n">normalization_distance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">dnf</span><span class="o">=</span><span class="n">dnf</span><span class="p">)</span> +</span><span id="distributive_law-143"><a href="#distributive_law-143"><span class="linenos">143</span></a> +</span><span id="distributive_law-144"><a href="#distributive_law-144"><span class="linenos">144</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> +</span><span id="distributive_law-145"><a href="#distributive_law-145"><span class="linenos">145</span></a> <span class="k">raise</span> <span class="n">OptimizeError</span><span class="p">(</span><span class="sa">f</span><span class="s2">"Normalization distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span> </span><span id="distributive_law-146"><a href="#distributive_law-146"><span class="linenos">146</span></a> -</span><span id="distributive_law-147"><a href="#distributive_law-147"><span class="linenos">147</span></a> <span class="k">if</span> <span class="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> -</span><span id="distributive_law-148"><a href="#distributive_law-148"><span class="linenos">148</span></a> <span class="k">raise</span> <span class="n">OptimizeError</span><span class="p">(</span><span class="sa">f</span><span class="s2">"Normalization distance </span><span class="si">{</span><span class="n">distance</span><span class="si">}</span><span class="s2"> exceeds max </span><span class="si">{</span><span class="n">max_distance</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span> +</span><span id="distributive_law-147"><a href="#distributive_law-147"><span class="linenos">147</span></a> <span class="n">exp</span><span class="o">.</span><span class="n">replace_children</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">))</span> +</span><span id="distributive_law-148"><a href="#distributive_law-148"><span class="linenos">148</span></a> <span class="n">to_exp</span><span class="p">,</span> <span class="n">from_exp</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> </span><span id="distributive_law-149"><a href="#distributive_law-149"><span class="linenos">149</span></a> -</span><span id="distributive_law-150"><a href="#distributive_law-150"><span class="linenos">150</span></a> <span class="n">exp</span><span class="o">.</span><span class="n">replace_children</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">e</span><span class="p">:</span> <span class="n">distributive_law</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">dnf</span><span class="p">,</span> <span class="n">max_distance</span><span class="p">,</span> <span class="n">generate</span><span class="p">))</span> -</span><span id="distributive_law-151"><a href="#distributive_law-151"><span class="linenos">151</span></a> <span class="n">to_exp</span><span class="p">,</span> <span class="n">from_exp</span> <span class="o">=</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">)</span> <span class="k">if</span> <span class="n">dnf</span> <span class="k">else</span> <span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">And</span><span class="p">,</span> <span class="n">exp</span><span class="o">.</span><span class="n">Or</span><span class="p">)</span> +</span><span id="distributive_law-150"><a href="#distributive_law-150"><span class="linenos">150</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">from_exp</span><span class="p">):</span> +</span><span id="distributive_law-151"><a href="#distributive_law-151"><span class="linenos">151</span></a> <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">unnest_operands</span><span class="p">()</span> </span><span id="distributive_law-152"><a href="#distributive_law-152"><span class="linenos">152</span></a> -</span><span id="distributive_law-153"><a href="#distributive_law-153"><span class="linenos">153</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">expression</span><span class="p">,</span> <span class="n">from_exp</span><span class="p">):</span> -</span><span id="distributive_law-154"><a href="#distributive_law-154"><span class="linenos">154</span></a> <span class="n">a</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="n">expression</span><span class="o">.</span><span class="n">unnest_operands</span><span class="p">()</span> +</span><span id="distributive_law-153"><a href="#distributive_law-153"><span class="linenos">153</span></a> <span class="n">from_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">from_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> +</span><span id="distributive_law-154"><a href="#distributive_law-154"><span class="linenos">154</span></a> <span class="n">to_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">to_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> </span><span id="distributive_law-155"><a href="#distributive_law-155"><span class="linenos">155</span></a> -</span><span id="distributive_law-156"><a href="#distributive_law-156"><span class="linenos">156</span></a> <span class="n">from_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">from_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> -</span><span id="distributive_law-157"><a href="#distributive_law-157"><span class="linenos">157</span></a> <span class="n">to_func</span> <span class="o">=</span> <span class="n">exp</span><span class="o">.</span><span class="n">and_</span> <span class="k">if</span> <span class="n">to_exp</span> <span class="o">==</span> <span class="n">exp</span><span class="o">.</span><span class="n">And</span> <span class="k">else</span> <span class="n">exp</span><span class="o">.</span><span class="n">or_</span> -</span><span id="distributive_law-158"><a href="#distributive_law-158"><span class="linenos">158</span></a> -</span><span id="distributive_law-159"><a href="#distributive_law-159"><span class="linenos">159</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> -</span><span id="distributive_law-160"><a href="#distributive_law-160"><span class="linenos">160</span></a> <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">a</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">)))</span> <span class="o">></span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">b</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> -</span><span id="distributive_law-161"><a href="#distributive_law-161"><span class="linenos">161</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="distributive_law-162"><a href="#distributive_law-162"><span class="linenos">162</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="distributive_law-163"><a href="#distributive_law-163"><span class="linenos">163</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> -</span><span id="distributive_law-164"><a href="#distributive_law-164"><span class="linenos">164</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="distributive_law-165"><a href="#distributive_law-165"><span class="linenos">165</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> -</span><span id="distributive_law-166"><a href="#distributive_law-166"><span class="linenos">166</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">,</span> <span class="n">generate</span><span class="p">)</span> -</span><span id="distributive_law-167"><a href="#distributive_law-167"><span class="linenos">167</span></a> -</span><span id="distributive_law-168"><a href="#distributive_law-168"><span class="linenos">168</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="distributive_law-156"><a href="#distributive_law-156"><span class="linenos">156</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> +</span><span id="distributive_law-157"><a href="#distributive_law-157"><span class="linenos">157</span></a> <span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">a</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">)))</span> <span class="o">></span> <span class="nb">len</span><span class="p">(</span><span class="nb">tuple</span><span class="p">(</span><span class="n">b</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">exp</span><span class="o">.</span><span class="n">Connector</span><span class="p">))):</span> +</span><span id="distributive_law-158"><a href="#distributive_law-158"><span class="linenos">158</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="distributive_law-159"><a href="#distributive_law-159"><span class="linenos">159</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="distributive_law-160"><a href="#distributive_law-160"><span class="linenos">160</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> +</span><span id="distributive_law-161"><a href="#distributive_law-161"><span class="linenos">161</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">a</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="distributive_law-162"><a href="#distributive_law-162"><span class="linenos">162</span></a> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">to_exp</span><span class="p">):</span> +</span><span id="distributive_law-163"><a href="#distributive_law-163"><span class="linenos">163</span></a> <span class="k">return</span> <span class="n">_distribute</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">from_func</span><span class="p">,</span> <span class="n">to_func</span><span class="p">)</span> +</span><span id="distributive_law-164"><a href="#distributive_law-164"><span class="linenos">164</span></a> +</span><span id="distributive_law-165"><a href="#distributive_law-165"><span class="linenos">165</span></a> <span class="k">return</span> <span class="n">expression</span> </span></pre></div> |