diff options
Diffstat (limited to 'docs/sqlglot/optimizer/normalize.html')
| -rw-r--r-- | docs/sqlglot/optimizer/normalize.html | 350 |
1 files changed, 177 insertions, 173 deletions
diff --git a/docs/sqlglot/optimizer/normalize.html b/docs/sqlglot/optimizer/normalize.html index 3771520..2bbdd82 100644 --- a/docs/sqlglot/optimizer/normalize.html +++ b/docs/sqlglot/optimizer/normalize.html @@ -3,7 +3,7 @@ <head> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1"> - <meta name="generator" content="pdoc 13.1.0"/> + <meta name="generator" content="pdoc 13.1.1"/> <title>sqlglot.optimizer.normalize API documentation</title> <style>/*! * Bootstrap Reboot v5.0.0 (https://getbootstrap.com/) * Copyright 2011-2021 The Bootstrap Authors * Copyright 2011-2021 Twitter, Inc. * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE) * Forked from Normalize.css, licensed MIT (https://github.com/necolas/normalize.css/blob/master/LICENSE.md) */*,::after,::before{box-sizing:border-box}@media (prefers-reduced-motion:no-preference){:root{scroll-behavior:smooth}}body{margin:0;font-family:system-ui,-apple-system,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans","Liberation Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-size:1rem;font-weight:400;line-height:1.5;color:#212529;background-color:#fff;-webkit-text-size-adjust:100%;-webkit-tap-highlight-color:transparent}hr{margin:1rem 0;color:inherit;background-color:currentColor;border:0;opacity:.25}hr:not([size]){height:1px}h1,h2,h3,h4,h5,h6{margin-top:0;margin-bottom:.5rem;font-weight:500;line-height:1.2}h1{font-size:calc(1.375rem + 1.5vw)}@media (min-width:1200px){h1{font-size:2.5rem}}h2{font-size:calc(1.325rem + .9vw)}@media (min-width:1200px){h2{font-size:2rem}}h3{font-size:calc(1.3rem + .6vw)}@media (min-width:1200px){h3{font-size:1.75rem}}h4{font-size:calc(1.275rem + .3vw)}@media (min-width:1200px){h4{font-size:1.5rem}}h5{font-size:1.25rem}h6{font-size:1rem}p{margin-top:0;margin-bottom:1rem}abbr[data-bs-original-title],abbr[title]{-webkit-text-decoration:underline dotted;text-decoration:underline dotted;cursor:help;-webkit-text-decoration-skip-ink:none;text-decoration-skip-ink:none}address{margin-bottom:1rem;font-style:normal;line-height:inherit}ol,ul{padding-left:2rem}dl,ol,ul{margin-top:0;margin-bottom:1rem}ol ol,ol ul,ul ol,ul ul{margin-bottom:0}dt{font-weight:700}dd{margin-bottom:.5rem;margin-left:0}blockquote{margin:0 0 1rem}b,strong{font-weight:bolder}small{font-size:.875em}mark{padding:.2em;background-color:#fcf8e3}sub,sup{position:relative;font-size:.75em;line-height:0;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}a{color:#0d6efd;text-decoration:underline}a:hover{color:#0a58ca}a:not([href]):not([class]),a:not([href]):not([class]):hover{color:inherit;text-decoration:none}code,kbd,pre,samp{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace;font-size:1em;direction:ltr;unicode-bidi:bidi-override}pre{display:block;margin-top:0;margin-bottom:1rem;overflow:auto;font-size:.875em}pre code{font-size:inherit;color:inherit;word-break:normal}code{font-size:.875em;color:#d63384;word-wrap:break-word}a>code{color:inherit}kbd{padding:.2rem .4rem;font-size:.875em;color:#fff;background-color:#212529;border-radius:.2rem}kbd kbd{padding:0;font-size:1em;font-weight:700}figure{margin:0 0 1rem}img,svg{vertical-align:middle}table{caption-side:bottom;border-collapse:collapse}caption{padding-top:.5rem;padding-bottom:.5rem;color:#6c757d;text-align:left}th{text-align:inherit;text-align:-webkit-match-parent}tbody,td,tfoot,th,thead,tr{border-color:inherit;border-style:solid;border-width:0}label{display:inline-block}button{border-radius:0}button:focus:not(:focus-visible){outline:0}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:inherit;line-height:inherit}button,select{text-transform:none}[role=button]{cursor:pointer}select{word-wrap:normal}select:disabled{opacity:1}[list]::-webkit-calendar-picker-indicator{display:none}[type=button],[type=reset],[type=submit],button{-webkit-appearance:button}[type=button]:not(:disabled),[type=reset]:not(:disabled),[type=submit]:not(:disabled),button:not(:disabled){cursor:pointer}::-moz-focus-inner{padding:0;border-style:none}textarea{resize:vertical}fieldset{min-width:0;padding:0;margin:0;border:0}legend{float:left;width:100%;padding:0;margin-bottom:.5rem;font-size:calc(1.275rem + .3vw);line-height:inherit}@media (min-width:1200px){legend{font-size:1.5rem}}legend+*{clear:left}::-webkit-datetime-edit-day-field,::-webkit-datetime-edit-fields-wrapper,::-webkit-datetime-edit-hour-field,::-webkit-datetime-edit-minute,::-webkit-datetime-edit-month-field,::-webkit-datetime-edit-text,::-webkit-datetime-edit-year-field{padding:0}::-webkit-inner-spin-button{height:auto}[type=search]{outline-offset:-2px;-webkit-appearance:textfield}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-color-swatch-wrapper{padding:0}::file-selector-button{font:inherit}::-webkit-file-upload-button{font:inherit;-webkit-appearance:button}output{display:inline-block}iframe{border:0}summary{display:list-item;cursor:pointer}progress{vertical-align:baseline}[hidden]{display:none!important}</style> @@ -113,119 +113,121 @@ </span><span id="L-46"><a href="#L-46"><span class="linenos"> 46</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-47"><a href="#L-47"><span class="linenos"> 47</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-48"><a href="#L-48"><span class="linenos"> 48</span></a> <span class="k">try</span><span class="p">:</span> -</span><span id="L-49"><a href="#L-49"><span class="linenos"> 49</span></a> <span class="n">node</span> <span class="o">=</span> <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">cache</span><span class="p">))</span> -</span><span id="L-50"><a href="#L-50"><span class="linenos"> 50</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-51"><a href="#L-51"><span class="linenos"> 51</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-52"><a href="#L-52"><span class="linenos"> 52</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-53"><a href="#L-53"><span class="linenos"> 53</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> -</span><span id="L-54"><a href="#L-54"><span class="linenos"> 54</span></a> <span class="k">return</span> <span class="n">original</span> -</span><span id="L-55"><a href="#L-55"><span class="linenos"> 55</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="L-56"><a href="#L-56"><span class="linenos"> 56</span></a> -</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="n">expression</span> <span class="o">=</span> <span class="n">node</span> -</span><span id="L-59"><a href="#L-59"><span class="linenos"> 59</span></a> -</span><span id="L-60"><a href="#L-60"><span class="linenos"> 60</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 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-50"><a href="#L-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 class="n">cache</span><span class="p">))</span> +</span><span id="L-51"><a href="#L-51"><span class="linenos"> 51</span></a> <span class="p">)</span> +</span><span id="L-52"><a href="#L-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="L-53"><a href="#L-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="L-54"><a href="#L-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="L-55"><a href="#L-55"><span class="linenos"> 55</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="L-56"><a href="#L-56"><span class="linenos"> 56</span></a> <span class="k">return</span> <span class="n">original</span> +</span><span id="L-57"><a href="#L-57"><span class="linenos"> 57</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-58"><a href="#L-58"><span class="linenos"> 58</span></a> +</span><span id="L-59"><a href="#L-59"><span class="linenos"> 59</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="L-60"><a href="#L-60"><span class="linenos"> 60</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><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 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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> -</span><span id="L-64"><a href="#L-64"><span class="linenos"> 64</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-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 class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span><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">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</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="k">return</span> <span class="n">expression</span> +</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><span id="L-65"><a href="#L-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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> +</span><span id="L-66"><a href="#L-66"><span class="linenos"> 66</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-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><span id="L-69"><a href="#L-69"><span class="linenos"> 69</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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> -</span><span id="L-70"><a href="#L-70"><span class="linenos"> 70</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-71"><a href="#L-71"><span class="linenos"> 71</span></a><span class="sd"> The difference in the number of predicates between the current expression and the normalized form.</span> -</span><span id="L-72"><a href="#L-72"><span class="linenos"> 72</span></a> -</span><span id="L-73"><a href="#L-73"><span class="linenos"> 73</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-68"><a href="#L-68"><span class="linenos"> 68</span></a> <span class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span><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">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">root</span><span class="p">))</span> +</span><span id="L-69"><a href="#L-69"><span class="linenos"> 69</span></a> +</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="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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> +</span><span id="L-72"><a href="#L-72"><span class="linenos"> 72</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-73"><a href="#L-73"><span class="linenos"> 73</span></a><span class="sd"> The difference in the number of predicates between the current expression and the normalized form.</span> </span><span id="L-74"><a href="#L-74"><span class="linenos"> 74</span></a> -</span><span id="L-75"><a href="#L-75"><span class="linenos"> 75</span></a><span class="sd"> Example:</span> -</span><span id="L-76"><a href="#L-76"><span class="linenos"> 76</span></a><span class="sd"> >>> import sqlglot</span> -</span><span id="L-77"><a href="#L-77"><span class="linenos"> 77</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> -</span><span id="L-78"><a href="#L-78"><span class="linenos"> 78</span></a><span class="sd"> >>> normalization_distance(expression)</span> -</span><span id="L-79"><a href="#L-79"><span class="linenos"> 79</span></a><span class="sd"> 4</span> -</span><span id="L-80"><a href="#L-80"><span class="linenos"> 80</span></a> -</span><span id="L-81"><a href="#L-81"><span class="linenos"> 81</span></a><span class="sd"> Args:</span> -</span><span id="L-82"><a href="#L-82"><span class="linenos"> 82</span></a><span class="sd"> expression (sqlglot.Expression): expression to compute distance</span> -</span><span id="L-83"><a href="#L-83"><span class="linenos"> 83</span></a><span class="sd"> dnf (bool): compute to dnf distance instead</span> -</span><span id="L-84"><a href="#L-84"><span class="linenos"> 84</span></a><span class="sd"> Returns:</span> -</span><span id="L-85"><a href="#L-85"><span class="linenos"> 85</span></a><span class="sd"> int: difference</span> -</span><span id="L-86"><a href="#L-86"><span class="linenos"> 86</span></a><span class="sd"> """</span> -</span><span id="L-87"><a href="#L-87"><span class="linenos"> 87</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-88"><a href="#L-88"><span class="linenos"> 88</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-89"><a href="#L-89"><span class="linenos"> 89</span></a> <span class="p">)</span> -</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><span id="L-92"><a href="#L-92"><span class="linenos"> 92</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-93"><a href="#L-93"><span class="linenos"> 93</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-94"><a href="#L-94"><span class="linenos"> 94</span></a><span class="sd"> Returns a list of predicate lengths when expanded to normalized form.</span> -</span><span id="L-95"><a href="#L-95"><span class="linenos"> 95</span></a> -</span><span id="L-96"><a href="#L-96"><span class="linenos"> 96</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-97"><a href="#L-97"><span class="linenos"> 97</span></a><span class="sd"> """</span> -</span><span id="L-98"><a href="#L-98"><span class="linenos"> 98</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-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="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-101"><a href="#L-101"><span class="linenos">101</span></a> <span class="k">return</span> <span class="p">(</span><span class="mi">1</span><span class="p">,)</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="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-75"><a href="#L-75"><span class="linenos"> 75</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-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"> Example:</span> +</span><span id="L-78"><a href="#L-78"><span class="linenos"> 78</span></a><span class="sd"> >>> import sqlglot</span> +</span><span id="L-79"><a href="#L-79"><span class="linenos"> 79</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> +</span><span id="L-80"><a href="#L-80"><span class="linenos"> 80</span></a><span class="sd"> >>> normalization_distance(expression)</span> +</span><span id="L-81"><a href="#L-81"><span class="linenos"> 81</span></a><span class="sd"> 4</span> +</span><span id="L-82"><a href="#L-82"><span class="linenos"> 82</span></a> +</span><span id="L-83"><a href="#L-83"><span class="linenos"> 83</span></a><span class="sd"> Args:</span> +</span><span id="L-84"><a href="#L-84"><span class="linenos"> 84</span></a><span class="sd"> expression (sqlglot.Expression): expression to compute distance</span> +</span><span id="L-85"><a href="#L-85"><span class="linenos"> 85</span></a><span class="sd"> dnf (bool): compute to dnf distance instead</span> +</span><span id="L-86"><a href="#L-86"><span class="linenos"> 86</span></a><span class="sd"> Returns:</span> +</span><span id="L-87"><a href="#L-87"><span class="linenos"> 87</span></a><span class="sd"> int: difference</span> +</span><span id="L-88"><a href="#L-88"><span class="linenos"> 88</span></a><span class="sd"> """</span> +</span><span id="L-89"><a href="#L-89"><span class="linenos"> 89</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-90"><a href="#L-90"><span class="linenos"> 90</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-91"><a href="#L-91"><span class="linenos"> 91</span></a> <span class="p">)</span> +</span><span id="L-92"><a href="#L-92"><span class="linenos"> 92</span></a> +</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="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-95"><a href="#L-95"><span class="linenos"> 95</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-96"><a href="#L-96"><span class="linenos"> 96</span></a><span class="sd"> Returns a list of predicate lengths when expanded to normalized form.</span> +</span><span id="L-97"><a href="#L-97"><span class="linenos"> 97</span></a> +</span><span id="L-98"><a href="#L-98"><span class="linenos"> 98</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-99"><a href="#L-99"><span class="linenos"> 99</span></a><span class="sd"> """</span> +</span><span id="L-100"><a href="#L-100"><span class="linenos">100</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-101"><a href="#L-101"><span class="linenos">101</span></a> +</span><span id="L-102"><a href="#L-102"><span class="linenos">102</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-103"><a href="#L-103"><span class="linenos">103</span></a> <span class="k">return</span> <span class="p">(</span><span class="mi">1</span><span class="p">,)</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="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-106"><a href="#L-106"><span class="linenos">106</span></a> <span class="k">return</span> <span class="nb">tuple</span><span class="p">(</span> -</span><span id="L-107"><a href="#L-107"><span class="linenos">107</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-108"><a href="#L-108"><span class="linenos">108</span></a> <span class="p">)</span> -</span><span id="L-109"><a href="#L-109"><span class="linenos">109</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-110"><a href="#L-110"><span class="linenos">110</span></a> -</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 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">cache</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span> -</span><span id="L-113"><a href="#L-113"><span class="linenos">113</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="L-114"><a href="#L-114"><span class="linenos">114</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> -</span><span id="L-115"><a href="#L-115"><span class="linenos">115</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-116"><a href="#L-116"><span class="linenos">116</span></a><span class="sd"> """</span> -</span><span id="L-117"><a href="#L-117"><span class="linenos">117</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-118"><a href="#L-118"><span class="linenos">118</span></a> <span class="k">return</span> <span class="n">expression</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="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-105"><a href="#L-105"><span class="linenos">105</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-106"><a href="#L-106"><span class="linenos">106</span></a> +</span><span id="L-107"><a href="#L-107"><span class="linenos">107</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-108"><a href="#L-108"><span class="linenos">108</span></a> <span class="k">return</span> <span class="nb">tuple</span><span class="p">(</span> +</span><span id="L-109"><a href="#L-109"><span class="linenos">109</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-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 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-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><span id="L-114"><a href="#L-114"><span class="linenos">114</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">cache</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span> +</span><span id="L-115"><a href="#L-115"><span class="linenos">115</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="L-116"><a href="#L-116"><span class="linenos">116</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> +</span><span id="L-117"><a href="#L-117"><span class="linenos">117</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-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="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-120"><a href="#L-120"><span class="linenos">120</span></a> <span class="k">return</span> <span class="n">expression</span> </span><span id="L-121"><a href="#L-121"><span class="linenos">121</span></a> -</span><span id="L-122"><a href="#L-122"><span class="linenos">122</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-123"><a href="#L-123"><span class="linenos">123</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-124"><a href="#L-124"><span class="linenos">124</span></a> -</span><span id="L-125"><a href="#L-125"><span class="linenos">125</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">cache</span><span class="p">))</span> -</span><span id="L-126"><a href="#L-126"><span class="linenos">126</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-127"><a href="#L-127"><span class="linenos">127</span></a> -</span><span id="L-128"><a href="#L-128"><span class="linenos">128</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-129"><a href="#L-129"><span class="linenos">129</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-130"><a href="#L-130"><span class="linenos">130</span></a> -</span><span id="L-131"><a href="#L-131"><span class="linenos">131</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-132"><a href="#L-132"><span class="linenos">132</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-133"><a href="#L-133"><span class="linenos">133</span></a> -</span><span id="L-134"><a href="#L-134"><span class="linenos">134</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-135"><a href="#L-135"><span class="linenos">135</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-136"><a href="#L-136"><span class="linenos">136</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">cache</span><span class="p">)</span> -</span><span id="L-137"><a href="#L-137"><span class="linenos">137</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">cache</span><span class="p">)</span> -</span><span id="L-138"><a href="#L-138"><span class="linenos">138</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-122"><a href="#L-122"><span class="linenos">122</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-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="n">distance</span> <span class="o">></span> <span class="n">max_distance</span><span class="p">:</span> +</span><span id="L-125"><a href="#L-125"><span class="linenos">125</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-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">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">cache</span><span class="p">))</span> +</span><span id="L-128"><a href="#L-128"><span class="linenos">128</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-129"><a href="#L-129"><span class="linenos">129</span></a> +</span><span id="L-130"><a href="#L-130"><span class="linenos">130</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-131"><a href="#L-131"><span class="linenos">131</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-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="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-134"><a href="#L-134"><span class="linenos">134</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-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">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-137"><a href="#L-137"><span class="linenos">137</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-138"><a href="#L-138"><span class="linenos">138</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">cache</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">_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">cache</span><span class="p">)</span> -</span><span id="L-140"><a href="#L-140"><span class="linenos">140</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-141"><a href="#L-141"><span class="linenos">141</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">cache</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">return</span> <span class="n">expression</span> +</span><span id="L-140"><a href="#L-140"><span class="linenos">140</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-141"><a href="#L-141"><span class="linenos">141</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">cache</span><span class="p">)</span> +</span><span id="L-142"><a href="#L-142"><span class="linenos">142</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-143"><a href="#L-143"><span class="linenos">143</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">cache</span><span class="p">)</span> </span><span id="L-144"><a href="#L-144"><span class="linenos">144</span></a> -</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">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">cache</span><span class="p">):</span> -</span><span id="L-147"><a href="#L-147"><span class="linenos">147</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-148"><a href="#L-148"><span class="linenos">148</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-149"><a href="#L-149"><span class="linenos">149</span></a> <span class="n">a</span><span class="p">,</span> -</span><span id="L-150"><a href="#L-150"><span class="linenos">150</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-151"><a href="#L-151"><span class="linenos">151</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">cache</span><span class="p">),</span> -</span><span id="L-152"><a href="#L-152"><span class="linenos">152</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">cache</span><span class="p">),</span> -</span><span id="L-153"><a href="#L-153"><span class="linenos">153</span></a> <span class="p">),</span> -</span><span id="L-154"><a href="#L-154"><span class="linenos">154</span></a> <span class="p">)</span> -</span><span id="L-155"><a href="#L-155"><span class="linenos">155</span></a> <span class="k">else</span><span class="p">:</span> -</span><span id="L-156"><a href="#L-156"><span class="linenos">156</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-157"><a href="#L-157"><span class="linenos">157</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">cache</span><span class="p">),</span> -</span><span id="L-158"><a href="#L-158"><span class="linenos">158</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">cache</span><span class="p">),</span> -</span><span id="L-159"><a href="#L-159"><span class="linenos">159</span></a> <span class="p">)</span> -</span><span id="L-160"><a href="#L-160"><span class="linenos">160</span></a> -</span><span id="L-161"><a href="#L-161"><span class="linenos">161</span></a> <span class="k">return</span> <span class="n">a</span> +</span><span id="L-145"><a href="#L-145"><span class="linenos">145</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="L-146"><a href="#L-146"><span class="linenos">146</span></a> +</span><span id="L-147"><a href="#L-147"><span class="linenos">147</span></a> +</span><span id="L-148"><a href="#L-148"><span class="linenos">148</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">cache</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">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-150"><a href="#L-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><span id="L-151"><a href="#L-151"><span class="linenos">151</span></a> <span class="n">a</span><span class="p">,</span> +</span><span id="L-152"><a href="#L-152"><span class="linenos">152</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-153"><a href="#L-153"><span class="linenos">153</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">cache</span><span class="p">),</span> +</span><span id="L-154"><a href="#L-154"><span class="linenos">154</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">cache</span><span class="p">),</span> +</span><span id="L-155"><a href="#L-155"><span class="linenos">155</span></a> <span class="p">),</span> +</span><span id="L-156"><a href="#L-156"><span class="linenos">156</span></a> <span class="p">)</span> +</span><span id="L-157"><a href="#L-157"><span class="linenos">157</span></a> <span class="k">else</span><span class="p">:</span> +</span><span id="L-158"><a href="#L-158"><span class="linenos">158</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-159"><a href="#L-159"><span class="linenos">159</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">cache</span><span class="p">),</span> +</span><span id="L-160"><a href="#L-160"><span class="linenos">160</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">cache</span><span class="p">),</span> +</span><span id="L-161"><a href="#L-161"><span class="linenos">161</span></a> <span class="p">)</span> +</span><span id="L-162"><a href="#L-162"><span class="linenos">162</span></a> +</span><span id="L-163"><a href="#L-163"><span class="linenos">163</span></a> <span class="k">return</span> <span class="n">a</span> </span></pre></div> @@ -276,18 +278,20 @@ </span><span id="normalize-47"><a href="#normalize-47"><span class="linenos">47</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-48"><a href="#normalize-48"><span class="linenos">48</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-49"><a href="#normalize-49"><span class="linenos">49</span></a> <span class="k">try</span><span class="p">:</span> -</span><span id="normalize-50"><a href="#normalize-50"><span class="linenos">50</span></a> <span class="n">node</span> <span class="o">=</span> <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">cache</span><span class="p">))</span> -</span><span id="normalize-51"><a href="#normalize-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="normalize-52"><a href="#normalize-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="normalize-53"><a href="#normalize-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="normalize-54"><a href="#normalize-54"><span class="linenos">54</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> -</span><span id="normalize-55"><a href="#normalize-55"><span class="linenos">55</span></a> <span class="k">return</span> <span class="n">original</span> -</span><span id="normalize-56"><a href="#normalize-56"><span class="linenos">56</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="normalize-57"><a href="#normalize-57"><span class="linenos">57</span></a> -</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="n">expression</span> <span class="o">=</span> <span class="n">node</span> -</span><span id="normalize-60"><a href="#normalize-60"><span class="linenos">60</span></a> -</span><span id="normalize-61"><a href="#normalize-61"><span class="linenos">61</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 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-51"><a href="#normalize-51"><span class="linenos">51</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">cache</span><span class="p">))</span> +</span><span id="normalize-52"><a href="#normalize-52"><span class="linenos">52</span></a> <span class="p">)</span> +</span><span id="normalize-53"><a href="#normalize-53"><span class="linenos">53</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-54"><a href="#normalize-54"><span class="linenos">54</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-55"><a href="#normalize-55"><span class="linenos">55</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-56"><a href="#normalize-56"><span class="linenos">56</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="normalize-57"><a href="#normalize-57"><span class="linenos">57</span></a> <span class="k">return</span> <span class="n">original</span> +</span><span id="normalize-58"><a href="#normalize-58"><span class="linenos">58</span></a> <span class="k">return</span> <span class="n">expression</span> +</span><span id="normalize-59"><a href="#normalize-59"><span class="linenos">59</span></a> +</span><span id="normalize-60"><a href="#normalize-60"><span class="linenos">60</span></a> <span class="k">if</span> <span class="n">root</span><span class="p">:</span> +</span><span id="normalize-61"><a href="#normalize-61"><span class="linenos">61</span></a> <span class="n">expression</span> <span class="o">=</span> <span class="n">node</span> +</span><span id="normalize-62"><a href="#normalize-62"><span class="linenos">62</span></a> +</span><span id="normalize-63"><a href="#normalize-63"><span class="linenos">63</span></a> <span class="k">return</span> <span class="n">expression</span> </span></pre></div> @@ -333,10 +337,10 @@ </div> <a class="headerlink" href="#normalized"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="normalized-64"><a href="#normalized-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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> -</span><span id="normalized-65"><a href="#normalized-65"><span class="linenos">65</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-66"><a href="#normalized-66"><span class="linenos">66</span></a> -</span><span id="normalized-67"><a href="#normalized-67"><span class="linenos">67</span></a> <span class="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span><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">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">root</span><span class="p">))</span> + <div class="pdoc-code codehilite"><pre><span></span><span id="normalized-66"><a href="#normalized-66"><span class="linenos">66</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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> +</span><span id="normalized-67"><a href="#normalized-67"><span class="linenos">67</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-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="k">return</span> <span class="ow">not</span> <span class="nb">any</span><span class="p">(</span><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">expression</span><span class="o">.</span><span class="n">find_all</span><span class="p">(</span><span class="n">root</span><span class="p">))</span> </span></pre></div> @@ -354,27 +358,27 @@ </div> <a class="headerlink" href="#normalization_distance"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="normalization_distance-70"><a href="#normalization_distance-70"><span class="linenos">70</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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> -</span><span id="normalization_distance-71"><a href="#normalization_distance-71"><span class="linenos">71</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="normalization_distance-72"><a href="#normalization_distance-72"><span class="linenos">72</span></a><span class="sd"> The difference in the number of predicates between the current expression and the normalized form.</span> -</span><span id="normalization_distance-73"><a href="#normalization_distance-73"><span class="linenos">73</span></a> -</span><span id="normalization_distance-74"><a href="#normalization_distance-74"><span class="linenos">74</span></a><span class="sd"> This is used as an estimate of the cost of the conversion which is exponential in complexity.</span> + <div class="pdoc-code codehilite"><pre><span></span><span id="normalization_distance-72"><a href="#normalization_distance-72"><span class="linenos">72</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">dnf</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span> +</span><span id="normalization_distance-73"><a href="#normalization_distance-73"><span class="linenos">73</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="normalization_distance-74"><a href="#normalization_distance-74"><span class="linenos">74</span></a><span class="sd"> The difference in the number of predicates between the current expression and the normalized form.</span> </span><span id="normalization_distance-75"><a href="#normalization_distance-75"><span class="linenos">75</span></a> -</span><span id="normalization_distance-76"><a href="#normalization_distance-76"><span class="linenos">76</span></a><span class="sd"> Example:</span> -</span><span id="normalization_distance-77"><a href="#normalization_distance-77"><span class="linenos">77</span></a><span class="sd"> >>> import sqlglot</span> -</span><span id="normalization_distance-78"><a href="#normalization_distance-78"><span class="linenos">78</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> -</span><span id="normalization_distance-79"><a href="#normalization_distance-79"><span class="linenos">79</span></a><span class="sd"> >>> normalization_distance(expression)</span> -</span><span id="normalization_distance-80"><a href="#normalization_distance-80"><span class="linenos">80</span></a><span class="sd"> 4</span> -</span><span id="normalization_distance-81"><a href="#normalization_distance-81"><span class="linenos">81</span></a> -</span><span id="normalization_distance-82"><a href="#normalization_distance-82"><span class="linenos">82</span></a><span class="sd"> Args:</span> -</span><span id="normalization_distance-83"><a href="#normalization_distance-83"><span class="linenos">83</span></a><span class="sd"> expression (sqlglot.Expression): expression to compute distance</span> -</span><span id="normalization_distance-84"><a href="#normalization_distance-84"><span class="linenos">84</span></a><span class="sd"> dnf (bool): compute to dnf distance instead</span> -</span><span id="normalization_distance-85"><a href="#normalization_distance-85"><span class="linenos">85</span></a><span class="sd"> Returns:</span> -</span><span id="normalization_distance-86"><a href="#normalization_distance-86"><span class="linenos">86</span></a><span class="sd"> int: difference</span> -</span><span id="normalization_distance-87"><a href="#normalization_distance-87"><span class="linenos">87</span></a><span class="sd"> """</span> -</span><span id="normalization_distance-88"><a href="#normalization_distance-88"><span class="linenos">88</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-89"><a href="#normalization_distance-89"><span class="linenos">89</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-90"><a href="#normalization_distance-90"><span class="linenos">90</span></a> <span class="p">)</span> +</span><span id="normalization_distance-76"><a href="#normalization_distance-76"><span class="linenos">76</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-77"><a href="#normalization_distance-77"><span class="linenos">77</span></a> +</span><span id="normalization_distance-78"><a href="#normalization_distance-78"><span class="linenos">78</span></a><span class="sd"> Example:</span> +</span><span id="normalization_distance-79"><a href="#normalization_distance-79"><span class="linenos">79</span></a><span class="sd"> >>> import sqlglot</span> +</span><span id="normalization_distance-80"><a href="#normalization_distance-80"><span class="linenos">80</span></a><span class="sd"> >>> expression = sqlglot.parse_one("(a AND b) OR (c AND d)")</span> +</span><span id="normalization_distance-81"><a href="#normalization_distance-81"><span class="linenos">81</span></a><span class="sd"> >>> normalization_distance(expression)</span> +</span><span id="normalization_distance-82"><a href="#normalization_distance-82"><span class="linenos">82</span></a><span class="sd"> 4</span> +</span><span id="normalization_distance-83"><a href="#normalization_distance-83"><span class="linenos">83</span></a> +</span><span id="normalization_distance-84"><a href="#normalization_distance-84"><span class="linenos">84</span></a><span class="sd"> Args:</span> +</span><span id="normalization_distance-85"><a href="#normalization_distance-85"><span class="linenos">85</span></a><span class="sd"> expression (sqlglot.Expression): expression to compute distance</span> +</span><span id="normalization_distance-86"><a href="#normalization_distance-86"><span class="linenos">86</span></a><span class="sd"> dnf (bool): compute to dnf distance instead</span> +</span><span id="normalization_distance-87"><a href="#normalization_distance-87"><span class="linenos">87</span></a><span class="sd"> Returns:</span> +</span><span id="normalization_distance-88"><a href="#normalization_distance-88"><span class="linenos">88</span></a><span class="sd"> int: difference</span> +</span><span id="normalization_distance-89"><a href="#normalization_distance-89"><span class="linenos">89</span></a><span class="sd"> """</span> +</span><span id="normalization_distance-90"><a href="#normalization_distance-90"><span class="linenos">90</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-91"><a href="#normalization_distance-91"><span class="linenos">91</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-92"><a href="#normalization_distance-92"><span class="linenos">92</span></a> <span class="p">)</span> </span></pre></div> @@ -421,38 +425,38 @@ </div> <a class="headerlink" href="#distributive_law"></a> - <div class="pdoc-code codehilite"><pre><span></span><span id="distributive_law-113"><a href="#distributive_law-113"><span class="linenos">113</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">cache</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span> -</span><span id="distributive_law-114"><a href="#distributive_law-114"><span class="linenos">114</span></a><span class="w"> </span><span class="sd">"""</span> -</span><span id="distributive_law-115"><a href="#distributive_law-115"><span class="linenos">115</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> -</span><span id="distributive_law-116"><a href="#distributive_law-116"><span class="linenos">116</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-117"><a href="#distributive_law-117"><span class="linenos">117</span></a><span class="sd"> """</span> -</span><span id="distributive_law-118"><a href="#distributive_law-118"><span class="linenos">118</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-119"><a href="#distributive_law-119"><span class="linenos">119</span></a> <span class="k">return</span> <span class="n">expression</span> -</span><span id="distributive_law-120"><a href="#distributive_law-120"><span class="linenos">120</span></a> -</span><span id="distributive_law-121"><a href="#distributive_law-121"><span class="linenos">121</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-115"><a href="#distributive_law-115"><span class="linenos">115</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">cache</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span> +</span><span id="distributive_law-116"><a href="#distributive_law-116"><span class="linenos">116</span></a><span class="w"> </span><span class="sd">"""</span> +</span><span id="distributive_law-117"><a href="#distributive_law-117"><span class="linenos">117</span></a><span class="sd"> x OR (y AND z) -> (x OR y) AND (x OR z)</span> +</span><span id="distributive_law-118"><a href="#distributive_law-118"><span class="linenos">118</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-119"><a href="#distributive_law-119"><span class="linenos">119</span></a><span class="sd"> """</span> +</span><span id="distributive_law-120"><a href="#distributive_law-120"><span class="linenos">120</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-121"><a href="#distributive_law-121"><span class="linenos">121</span></a> <span class="k">return</span> <span class="n">expression</span> </span><span id="distributive_law-122"><a href="#distributive_law-122"><span class="linenos">122</span></a> -</span><span id="distributive_law-123"><a href="#distributive_law-123"><span class="linenos">123</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-124"><a href="#distributive_law-124"><span class="linenos">124</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-125"><a href="#distributive_law-125"><span class="linenos">125</span></a> -</span><span id="distributive_law-126"><a href="#distributive_law-126"><span class="linenos">126</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">cache</span><span class="p">))</span> -</span><span id="distributive_law-127"><a href="#distributive_law-127"><span class="linenos">127</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-128"><a href="#distributive_law-128"><span class="linenos">128</span></a> -</span><span id="distributive_law-129"><a href="#distributive_law-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">from_exp</span><span class="p">):</span> -</span><span id="distributive_law-130"><a href="#distributive_law-130"><span class="linenos">130</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-131"><a href="#distributive_law-131"><span class="linenos">131</span></a> -</span><span id="distributive_law-132"><a href="#distributive_law-132"><span class="linenos">132</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-133"><a href="#distributive_law-133"><span class="linenos">133</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-134"><a href="#distributive_law-134"><span class="linenos">134</span></a> -</span><span id="distributive_law-135"><a href="#distributive_law-135"><span class="linenos">135</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-136"><a href="#distributive_law-136"><span class="linenos">136</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-137"><a href="#distributive_law-137"><span class="linenos">137</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">cache</span><span class="p">)</span> -</span><span id="distributive_law-138"><a href="#distributive_law-138"><span class="linenos">138</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">cache</span><span class="p">)</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="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-123"><a href="#distributive_law-123"><span class="linenos">123</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-124"><a href="#distributive_law-124"><span class="linenos">124</span></a> +</span><span id="distributive_law-125"><a href="#distributive_law-125"><span class="linenos">125</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-126"><a href="#distributive_law-126"><span class="linenos">126</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-127"><a href="#distributive_law-127"><span class="linenos">127</span></a> +</span><span id="distributive_law-128"><a href="#distributive_law-128"><span class="linenos">128</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">cache</span><span class="p">))</span> +</span><span id="distributive_law-129"><a href="#distributive_law-129"><span class="linenos">129</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-130"><a href="#distributive_law-130"><span class="linenos">130</span></a> +</span><span id="distributive_law-131"><a href="#distributive_law-131"><span class="linenos">131</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-132"><a href="#distributive_law-132"><span class="linenos">132</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-133"><a href="#distributive_law-133"><span class="linenos">133</span></a> +</span><span id="distributive_law-134"><a href="#distributive_law-134"><span class="linenos">134</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-135"><a href="#distributive_law-135"><span class="linenos">135</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-136"><a href="#distributive_law-136"><span class="linenos">136</span></a> +</span><span id="distributive_law-137"><a href="#distributive_law-137"><span class="linenos">137</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-138"><a href="#distributive_law-138"><span class="linenos">138</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-139"><a href="#distributive_law-139"><span class="linenos">139</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">cache</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">_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">cache</span><span class="p">)</span> -</span><span id="distributive_law-141"><a href="#distributive_law-141"><span class="linenos">141</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-142"><a href="#distributive_law-142"><span class="linenos">142</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">cache</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">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 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-142"><a href="#distributive_law-142"><span class="linenos">142</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">cache</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">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-144"><a href="#distributive_law-144"><span class="linenos">144</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">cache</span><span class="p">)</span> +</span><span id="distributive_law-145"><a href="#distributive_law-145"><span class="linenos">145</span></a> +</span><span id="distributive_law-146"><a href="#distributive_law-146"><span class="linenos">146</span></a> <span class="k">return</span> <span class="n">expression</span> </span></pre></div> |