345 lines
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345 lines
54 KiB
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<div class="headertitle"><div class="title">presolve_util.cc</div></div>
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<a href="presolve__util_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include "<a class="code" href="presolve__util_8h.html">ortools/sat/presolve_util.h</a>"</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include "<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>"</span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include "<a class="code" href="cp__model__utils_8h.html">ortools/sat/cp_model_utils.h</a>"</span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_domain_deductions.html#ae69f83e1bf5e9a4e729840d31078cdbd"> 24</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_domain_deductions.html#ae69f83e1bf5e9a4e729840d31078cdbd">DomainDeductions::AddDeduction</a>(<span class="keywordtype">int</span> literal_ref, <span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code hl_class" href="classoperations__research_1_1_domain.html">Domain</a> domain) {</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, 0);</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">Index</a> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = IndexFromLiteral(literal_ref);</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> >= something_changed_.size()) {</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> something_changed_.Resize(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> + 1);</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> enforcement_to_vars_.resize(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>.value() + 1);</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> }</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> >= tmp_num_occurrences_.size()) {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> tmp_num_occurrences_.resize(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> + 1, 0);</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> }</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">const</span> <span class="keyword">auto</span> insert = deductions_.insert({{<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>}, domain});</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">if</span> (insert.second) {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// New element.</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> something_changed_.Set(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> enforcement_to_vars_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>].push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// Existing element.</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_domain.html">Domain</a>& old_domain = insert.first->second;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">if</span> (!old_domain.<a class="code hl_function" href="classoperations__research_1_1_domain.html#a1f922def1b57974333f228818cd04e68">IsIncludedIn</a>(domain)) {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> insert.first->second = domain.<a class="code hl_function" href="classoperations__research_1_1_domain.html#a835826c4c5129b74553042a357a721ff">IntersectionWith</a>(old_domain);</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> something_changed_.Set(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_domain_deductions.html#a257a307f168114c2e4d8787376e0997f"> 49</a></span>std::vector<std::pair<int, Domain>> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_domain_deductions.html#a257a307f168114c2e4d8787376e0997f">DomainDeductions::ProcessClause</a>(</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> absl::Span<const int> clause) {</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> std::vector<std::pair<int, Domain>> result;</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// We only need to process this clause if something changed since last time.</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">bool</span> abort = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : clause) {</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">Index</a> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = IndexFromLiteral(ref);</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> >= something_changed_.size()) <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">if</span> (something_changed_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]) {</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> abort = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">if</span> (abort) <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// Count for each variable, how many times it appears in the deductions lists.</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> std::vector<int> to_process;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> std::vector<int> to_clean;</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : clause) {</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">Index</a> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = IndexFromLiteral(ref);</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : enforcement_to_vars_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">if</span> (tmp_num_occurrences_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] == 0) {</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> to_clean.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> }</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> tmp_num_occurrences_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]++;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">if</span> (tmp_num_occurrences_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] == clause.size()) {</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> to_process.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> }</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// Clear the counts.</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : to_clean) {</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> tmp_num_occurrences_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = 0;</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> }</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// Compute the domain unions.</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> std::vector<Domain> domains(to_process.size());</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : clause) {</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">Index</a> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = IndexFromLiteral(ref);</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < to_process.size(); ++i) {</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> domains[i] = domains[i].UnionWith(</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <a class="code hl_function" href="namespacegtl.html#a9093d3af795feb9332cea022c20550f8">gtl::FindOrDieNoPrint</a>(deductions_, {<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, to_process[i]}));</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < to_process.size(); ++i) {</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> result.push_back({to_process[i], std::move(domains[i])});</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> }</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span>}</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="keyword">namespace </span>{</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="comment">// Helper method for variable substitution. Returns the coefficient of 'var' in</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span><span class="comment">// 'proto' and copies other terms in 'terms'.</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span><span class="keyword">template</span> <<span class="keyword">typename</span> ProtoWithVarsAndCoeffs></div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>int64_t GetVarCoeffAndCopyOtherTerms(</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</span> ProtoWithVarsAndCoeffs& <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>,</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> std::vector<std::pair<int, int64_t>>* terms) {</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">bool</span> found = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> int64_t var_coeff = 0;</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>.vars().size();</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">int</span> ref = <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>.vars(i);</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> int64_t coeff = <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>.coeffs(i);</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref)) {</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> ref = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(ref);</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> coeff = -coeff;</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">if</span> (ref == <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!found);</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> found = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> var_coeff = coeff;</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> terms->push_back({ref, coeff});</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(found);</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> var_coeff;</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>}</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span><span class="comment">// Helper method for variable substituion. Sorts and merges the terms in 'terms'</span></div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="comment">// and adds them to 'proto'.</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span><span class="keyword">template</span> <<span class="keyword">typename</span> ProtoWithVarsAndCoeffs></div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span><span class="keywordtype">void</span> SortAndMergeTerms(std::vector<std::pair<int, int64_t>>* terms,</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> ProtoWithVarsAndCoeffs* <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>) {</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>->clear_vars();</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>->clear_coeffs();</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> std::sort(terms->begin(), terms->end());</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordtype">int</span> current_var = 0;</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> int64_t current_coeff = 0;</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : *terms) {</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(entry.first));</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">if</span> (entry.first == current_var) {</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> current_coeff += entry.second;</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">if</span> (current_coeff != 0) {</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>->add_vars(current_var);</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>->add_coeffs(current_coeff);</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> }</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> current_var = entry.first;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> current_coeff = entry.second;</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> }</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> }</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordflow">if</span> (current_coeff != 0) {</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>->add_vars(current_var);</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a>->add_coeffs(current_coeff);</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> }</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span>}</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span><span class="comment">// Adds all the terms from the var definition constraint with given var</span></div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="comment">// coefficient.</span></div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span><span class="keywordtype">void</span> AddTermsFromVarDefinition(<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</span> int64_t var_coeff,</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">const</span> ConstraintProto& definition,</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> std::vector<std::pair<int, int64_t>>* terms) {</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">const</span> <span class="keywordtype">int</span> definition_size = definition.linear().vars().size();</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < definition_size; ++i) {</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordtype">int</span> ref = definition.linear().vars(i);</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> int64_t coeff = definition.linear().coeffs(i);</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref)) {</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> ref = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(ref);</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> coeff = -coeff;</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> }</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">if</span> (ref == <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> terms->push_back({ref, -coeff * var_coeff});</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> }</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> }</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span>}</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span>} <span class="comment">// namespace</span></div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a62adf82ba94a3431e4e547a563f06d81"> 184</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a62adf82ba94a3431e4e547a563f06d81">SubstituteVariable</a>(<span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, int64_t var_coeff_in_definition,</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>& definition,</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>* <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(std::abs(var_coeff_in_definition), 1);</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Copy all the terms (except the one referring to var).</span></div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> std::vector<std::pair<int, int64_t>> terms;</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> int64_t var_coeff = GetVarCoeffAndCopyOtherTerms(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->linear(), &terms);</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> </div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">if</span> (var_coeff_in_definition < 0) var_coeff *= -1;</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> </div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> AddTermsFromVarDefinition(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, var_coeff, definition, &terms);</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// The substitution is correct only if we don't loose information here.</span></div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// But for a constant definition rhs that is always the case.</span></div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordtype">bool</span> exact = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_class" href="classoperations__research_1_1_domain.html">Domain</a> offset = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab1240060466ba48a36a4b36379bce26a">ReadDomainFromProto</a>(definition.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_constraint_proto.html#a6d1f941c5f8b326673ffd58eb9b1f0ab">linear</a>());</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> offset = offset.<a class="code hl_function" href="classoperations__research_1_1_domain.html#a63a708c626b59b4504ddb879496c894e">MultiplicationBy</a>(-var_coeff, &exact);</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(exact);</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> </div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_domain.html">Domain</a> rhs = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab1240060466ba48a36a4b36379bce26a">ReadDomainFromProto</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->linear());</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a901c19b12842f8af153e588a689a90b5">FillDomainInProto</a>(rhs.<a class="code hl_function" href="classoperations__research_1_1_domain.html#a4f9af4a46ee07931e3e5e50f6ddfb8ad">AdditionWith</a>(offset), <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->mutable_linear());</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> SortAndMergeTerms(&terms, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->mutable_linear());</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span>}</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00491">base/logging.h:491</a></div></div>
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<div class="ttc" id="abase_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#l00698">base/logging.h:698</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a7cc25402ecd7591b4c39934dd656b1f9"><div class="ttname"><a href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a></div><div class="ttdeci">#define CHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00702">base/logging.h:702</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_domain_html"><div class="ttname"><a href="classoperations__research_1_1_domain.html">operations_research::Domain</a></div><div class="ttdoc">We call domain any subset of Int64 = [kint64min, kint64max].</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8h_source.html#l00081">sorted_interval_list.h:81</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_domain_html_a1f922def1b57974333f228818cd04e68"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a1f922def1b57974333f228818cd04e68">operations_research::Domain::IsIncludedIn</a></div><div class="ttdeci">bool IsIncludedIn(const Domain &domain) const</div><div class="ttdoc">Returns true iff D is included in the given domain.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00247">sorted_interval_list.cc:247</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_domain_html_a4f9af4a46ee07931e3e5e50f6ddfb8ad"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a4f9af4a46ee07931e3e5e50f6ddfb8ad">operations_research::Domain::AdditionWith</a></div><div class="ttdeci">Domain AdditionWith(const Domain &domain) const</div><div class="ttdoc">Returns {x ∈ Int64, ∃ a ∈ D, ∃ b ∈ domain, x = a + b}.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00347">sorted_interval_list.cc:347</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_domain_html_a63a708c626b59b4504ddb879496c894e"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a63a708c626b59b4504ddb879496c894e">operations_research::Domain::MultiplicationBy</a></div><div class="ttdeci">Domain MultiplicationBy(int64_t coeff, bool *exact=nullptr) const</div><div class="ttdoc">Returns {x ∈ Int64, ∃ e ∈ D, x = e * coeff}.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00376">sorted_interval_list.cc:376</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_domain_html_a835826c4c5129b74553042a357a721ff"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a835826c4c5129b74553042a357a721ff">operations_research::Domain::IntersectionWith</a></div><div class="ttdeci">Domain IntersectionWith(const Domain &domain) const</div><div class="ttdoc">Returns the intersection of D and domain.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00297">sorted_interval_list.cc:297</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_constraint_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_constraint_proto.html">operations_research::sat::ConstraintProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l03941">cp_model.pb.h:3942</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_constraint_proto_html_a6d1f941c5f8b326673ffd58eb9b1f0ab"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_constraint_proto.html#a6d1f941c5f8b326673ffd58eb9b1f0ab">operations_research::sat::ConstraintProto::linear</a></div><div class="ttdeci">const ::operations_research::sat::LinearConstraintProto & linear() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l10339">cp_model.pb.h:10339</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_domain_deductions_html_a257a307f168114c2e4d8787376e0997f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_domain_deductions.html#a257a307f168114c2e4d8787376e0997f">operations_research::sat::DomainDeductions::ProcessClause</a></div><div class="ttdeci">std::vector< std::pair< int, Domain > > ProcessClause(absl::Span< const int > clause)</div><div class="ttdef"><b>Definition:</b> <a href="presolve__util_8cc_source.html#l00049">presolve_util.cc:49</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_domain_deductions_html_ae69f83e1bf5e9a4e729840d31078cdbd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_domain_deductions.html#ae69f83e1bf5e9a4e729840d31078cdbd">operations_research::sat::DomainDeductions::AddDeduction</a></div><div class="ttdeci">void AddDeduction(int literal_ref, int var, Domain domain)</div><div class="ttdef"><b>Definition:</b> <a href="presolve__util_8cc_source.html#l00024">presolve_util.cc:24</a></div></div>
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<div class="ttc" id="acp__model__fz__solver_8cc_html_aed003f5eb5197bc586b7ef2c36a63da2"><div class="ttname"><a href="cp__model__fz__solver_8cc.html#aed003f5eb5197bc586b7ef2c36a63da2">proto</a></div><div class="ttdeci">CpModelProto proto</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__fz__solver_8cc_source.html#l00115">cp_model_fz_solver.cc:115</a></div></div>
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<div class="ttc" id="acp__model__utils_8h_html"><div class="ttname"><a href="cp__model__utils_8h.html">cp_model_utils.h</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_a05da18ca9c7b657a4a6ea24e07c9b695"><div class="ttname"><a href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a></div><div class="ttdeci">const Constraint * ct</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
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<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
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<div class="ttc" id="amap__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
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<div class="ttc" id="anamespacegtl_html_a9093d3af795feb9332cea022c20550f8"><div class="ttname"><a href="namespacegtl.html#a9093d3af795feb9332cea022c20550f8">gtl::FindOrDieNoPrint</a></div><div class="ttdeci">const Collection::value_type::second_type & FindOrDieNoPrint(const Collection &collection, const typename Collection::value_type::first_type &key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00216">map_util.h:216</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ac89c7b45754e9a6bdabc08bea586fc4e"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">operations_research::glop::Index</a></div><div class="ttdeci">int32_t Index</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00038">lp_types.h:38</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a217338425de4389014563f1f24331713"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">operations_research::sat::RefIsPositive</a></div><div class="ttdeci">bool RefIsPositive(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00036">cp_model_utils.h:36</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a62adf82ba94a3431e4e547a563f06d81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a62adf82ba94a3431e4e547a563f06d81">operations_research::sat::SubstituteVariable</a></div><div class="ttdeci">void SubstituteVariable(int var, int64_t var_coeff_in_definition, const ConstraintProto &definition, ConstraintProto *ct)</div><div class="ttdef"><b>Definition:</b> <a href="presolve__util_8cc_source.html#l00184">presolve_util.cc:184</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a901c19b12842f8af153e588a689a90b5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a901c19b12842f8af153e588a689a90b5">operations_research::sat::FillDomainInProto</a></div><div class="ttdeci">void FillDomainInProto(const Domain &domain, ProtoWithDomain *proto)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00093">cp_model_utils.h:93</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab1240060466ba48a36a4b36379bce26a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab1240060466ba48a36a4b36379bce26a">operations_research::sat::ReadDomainFromProto</a></div><div class="ttdeci">Domain ReadDomainFromProto(const ProtoWithDomain &proto)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00104">cp_model_utils.h:104</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae0803b8198728cd4f6e58498d9c60091"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">operations_research::sat::NegatedRef</a></div><div class="ttdeci">int NegatedRef(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00034">cp_model_utils.h:34</a></div></div>
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<div class="ttc" id="anamespaceoperations__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>
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<div class="ttc" id="apack_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>
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<div class="ttc" id="apresolve__util_8h_html"><div class="ttname"><a href="presolve__util_8h.html">presolve_util.h</a></div></div>
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