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<a href="sat_2table_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="table_8h.html">ortools/sat/table.h</a>&quot;</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;cstdint&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &lt;memory&gt;</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &lt;set&gt;</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &lt;utility&gt;</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_set.h&quot;</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;absl/strings/str_cat.h&quot;</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;absl/strings/str_join.h&quot;</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="int__type_8h.html">ortools/base/int_type.h</a>&quot;</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>&quot;</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat__solver_8h.html">ortools/sat/sat_solver.h</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat_2util_8h.html">ortools/sat/util.h</a>&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sorted__interval__list_8h.html">ortools/util/sorted_interval_list.h</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="keyword">namespace </span>sat {</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a99154cfebb72b0e4d90c9b13fd4ee856"> 39</a></span>&#160;std::function&lt;void(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#abcbbda7f5647f976750e8682fb03d3a6">LiteralTableConstraint</a>(</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;Literal&gt;&gt;&amp; literal_tuples,</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; line_literals) {</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">return</span> [=](<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(literal_tuples.size(), line_literals.size());</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_tuples = line_literals.size();</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">if</span> (num_tuples == 0) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> tuple_size = literal_tuples[0].size();</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keywordflow">if</span> (tuple_size == 0) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; num_tuples; ++i) {</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(tuple_size, literal_tuples[i].size());</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; }</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; absl::flat_hash_map&lt;LiteralIndex, std::vector&lt;LiteralIndex&gt;&gt;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; line_literals_per_literal;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_tuples; ++i) {</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">const</span> LiteralIndex selected_index = line_literals[i].Index();</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : literal_tuples[i]) {</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; line_literals_per_literal[l.Index()].push_back(selected_index);</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; }</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; }</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// line_literals[i] == true =&gt; literal_tuples[i][j] == true.</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="comment">// literal_tuples[i][j] == false =&gt; line_literals[i] == false.</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_tuples; ++i) {</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> line_is_selected = line_literals[i];</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit : literal_tuples[i]) {</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872">Implication</a>(line_is_selected, lit));</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; }</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; }</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="comment">// Exactly one selected literal is true.</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">ExactlyOneConstraint</a>(line_literals));</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="comment">// If all selected literals of the lines containing a literal are false,</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="comment">// then the literal is false.</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; p : line_literals_per_literal) {</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; std::vector&lt;Literal&gt; clause;</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> : p.second) {</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; clause.push_back(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; }</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; clause.push_back(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(p.first).<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(clause));</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; }</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; };</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;}</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;} <span class="comment">// namespace sat</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;} <span class="comment">// namespace operations_research</span></div><div class="ttc" id="stl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00038">sat/model.h:38</a></div></div>
<div class="ttc" id="int__type_8h_html"><div class="ttname"><a href="int__type_8h.html">int_type.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00093">sat_base.h:93</a></div></div>
<div class="ttc" id="gurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00066">sat_base.h:66</a></div></div>
<div class="ttc" id="map__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
<div class="ttc" id="sorted__interval__list_8h_html"><div class="ttname"><a href="sorted__interval__list_8h.html">sorted_interval_list.h</a></div></div>
<div class="ttc" id="sat__solver_8h_html"><div class="ttname"><a href="sat__solver_8h.html">sat_solver.h</a></div></div>
<div class="ttc" id="pack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
<div class="ttc" id="base_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00702">base/logging.h:702</a></div></div>
<div class="ttc" id="sat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
<div class="ttc" id="base_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="sat_2util_8h_html"><div class="ttname"><a href="sat_2util_8h.html">util.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a8a0620c105ec05f1b42bcde3a9380872"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872">operations_research::sat::Implication</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; Implication(const std::vector&lt; Literal &gt; &amp;enforcement_literals, IntegerLiteral i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01724">integer.h:1724</a></div></div>
<div class="ttc" id="table_8h_html"><div class="ttname"><a href="table_8h.html">table.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1655a9b9673e7c4de940ca6e5e3cf936"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">operations_research::sat::ClauseConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ClauseConstraint(absl::Span&lt; const Literal &gt; literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00906">sat_solver.h:906</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1b1462c55662c1263c0e1f54ed6e06cd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">operations_research::sat::ExactlyOneConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ExactlyOneConstraint(const std::vector&lt; Literal &gt; &amp;literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00878">sat_solver.h:878</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_abcbbda7f5647f976750e8682fb03d3a6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#abcbbda7f5647f976750e8682fb03d3a6">operations_research::sat::LiteralTableConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; LiteralTableConstraint(const std::vector&lt; std::vector&lt; Literal &gt;&gt; &amp;literal_tuples, const std::vector&lt; Literal &gt; &amp;line_literals)</div><div class="ttdef"><b>Definition:</b> <a href="table_8h_source.html#l00034">table.h:34</a></div></div>
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