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1059 lines
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<div class="title">linear_relaxation.cc</div> </div>
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<a href="linear__relaxation_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> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a 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 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 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 name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a 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 name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a 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 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 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 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 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 name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="linear__relaxation_8h.html">ortools/sat/linear_relaxation.h</a>"</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "absl/container/flat_hash_set.h"</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="iterator__adaptors_8h.html">ortools/base/iterator_adaptors.h</a>"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="cp__model_8pb_8h.html">ortools/sat/cp_model.pb.h</a>"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="cp__model__loader_8h.html">ortools/sat/cp_model_loader.h</a>"</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>"</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="integer__expr_8h.html">ortools/sat/integer_expr.h</a>"</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>"</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="linear__programming__constraint_8h.html">ortools/sat/linear_programming_constraint.h</a>"</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>"</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="scheduling__constraints_8h.html">ortools/sat/scheduling_constraints.h</a>"</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">namespace </span>sat {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
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<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b"> 33</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b">AppendFullEncodingRelaxation</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</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>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>();</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">if</span> (encoder == <span class="keyword">nullptr</span>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">if</span> (!encoder->VariableIsFullyEncoded(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keyword">const</span> <span class="keyword">auto</span>& encoding = encoder-><a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#aa0a8be7c97692d0b4fdb2f13ba303f36">FullDomainEncoding</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">const</span> IntegerValue var_min = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>()-><a class="code" href="namespaceoperations__research_1_1sat.html#a1000a311929a470e5485258d765eeabd">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, var_min, var_min);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// Create the constraint if all literal have a view.</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  std::vector<Literal> at_most_one;</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = value_literal.literal;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="resource_8cc.html#a73461c37822b6ebb75b54ba1a9ffb442">delta</a> = value_literal.value - var_min;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  DCHECK_GE(<a class="code" href="resource_8cc.html#a73461c37822b6ebb75b54ba1a9ffb442">delta</a>, IntegerValue(0));</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  at_most_one.push_back(lit);</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">if</span> (!at_least_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1))) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">if</span> (<a class="code" href="resource_8cc.html#a73461c37822b6ebb75b54ba1a9ffb442">delta</a> != IntegerValue(0)) {</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">if</span> (!encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, -<a class="code" href="resource_8cc.html#a73461c37822b6ebb75b54ba1a9ffb442">delta</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  }</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one);</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> }</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">namespace </span>{</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// TODO(user): Not super efficient.</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> std::pair<IntegerValue, IntegerValue> GetMinAndMaxNotEncoded(</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">const</span> absl::flat_hash_set<IntegerValue>& encoded_values,</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">const</span> Model& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> <span class="keyword">auto</span>* domains = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<IntegerDomains>();</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">if</span> (domains == <span class="keyword">nullptr</span> || <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> >= domains->size()) {</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">return</span> {<a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>};</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// The domain can be large, but the list of values shouldn't, so this</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// runs in O(encoded_values.size());</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  IntegerValue <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> ClosedInterval <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a> : (*domains)[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]) {</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">for</span> (IntegerValue v(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>.start); v <= <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>.end; ++v) {</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(encoded_values, v)) {</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a> = v;</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  }</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  }</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">if</span> (<a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a> != <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  IntegerValue <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">const</span> <span class="keyword">auto</span>& domain = (*domains)[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = domain.NumIntervals() - 1; i >= 0; --i) {</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">const</span> ClosedInterval <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a> = domain[i];</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (IntegerValue v(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>.end); v >= <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>.start; --v) {</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(encoded_values, v)) {</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a> = v;</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  }</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  }</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">if</span> (<a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a> != <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">return</span> {<a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a>, <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a>};</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> }</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> } <span class="comment">// namespace</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
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<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1"> 110</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1">AppendPartialEncodingRelaxation</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</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>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>();</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keyword">const</span> <span class="keyword">auto</span>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">if</span> (encoder == <span class="keyword">nullptr</span> || integer_trail == <span class="keyword">nullptr</span>) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keyword">const</span> std::vector<IntegerEncoder::ValueLiteralPair>& encoding =</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  encoder->PartialDomainEncoding(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">if</span> (encoding.empty()) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  std::vector<Literal> at_most_one_ct;</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  absl::flat_hash_set<IntegerValue> encoded_values;</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> = value_literal.literal;</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// Note that we skip pairs that do not have an Integer view.</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">if</span> (encoder->GetLiteralView(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>) == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> &&</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  encoder->GetLiteralView(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()) == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  }</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  at_most_one_ct.push_back(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>);</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  encoded_values.insert(value_literal.value);</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">if</span> (encoded_values.empty()) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// TODO(user): The PartialDomainEncoding() function automatically exclude</span></div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// values that are no longer in the initial domain, so we could be a bit</span></div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// tighter here. That said, this is supposed to be called just after the</span></div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="comment">// presolve, so it shouldn't really matter.</span></div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keyword">const</span> <span class="keyword">auto</span> pair = GetMinAndMaxNotEncoded(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, encoded_values, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">if</span> (pair.first == <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="comment">// TODO(user): try to remove the duplication with</span></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="comment">// AppendFullEncodingRelaxation()? actually I am not sure we need the other</span></div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="comment">// function since this one is just more general.</span></div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> exactly_one_ct(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  IntegerValue(1));</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0),</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  IntegerValue(0));</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = value_literal.literal;</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  CHECK(exactly_one_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  CHECK(</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(-value_literal.value)));</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(exactly_one_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// min + sum li * (xi - min) <= var.</span></div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">const</span> IntegerValue d_min = pair.first;</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lower_bound_ct(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, d_min, <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  lower_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  CHECK(lower_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  d_min - value_literal.value));</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">// var <= max + sum li * (xi - max).</span></div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keyword">const</span> IntegerValue d_max = pair.second;</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> upper_bound_ct(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, d_max);</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  upper_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  CHECK(upper_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  d_max - value_literal.value));</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  }</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">// Note that empty/trivial constraints will be filtered later.</span></div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one_ct);</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lower_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(upper_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> }</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
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<div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f"> 185</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f">AppendPartialGreaterThanEncodingRelaxation</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keyword">const</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>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">const</span> <span class="keyword">auto</span>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>();</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">if</span> (integer_trail == <span class="keyword">nullptr</span> || encoder == <span class="keyword">nullptr</span>) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  </div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keyword">const</span> std::map<IntegerValue, Literal>& greater_than_encoding =</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  encoder->PartialGreaterThanEncoding(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordflow">if</span> (greater_than_encoding.empty()) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="comment">// Start by the var >= side.</span></div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="comment">// And also add the implications between used literals.</span></div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  {</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  IntegerValue prev_used_bound = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lb_constraint(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, prev_used_bound,</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  LiteralIndex prev_literal_index = <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>;</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : greater_than_encoding) {</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">if</span> (entry.first <= prev_used_bound) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  </div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">const</span> LiteralIndex literal_index = entry.second.Index();</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keyword">const</span> IntegerValue diff = prev_used_bound - entry.first;</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  </div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="comment">// Skip the entry if the literal doesn't have a view.</span></div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">if</span> (!lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(entry.second, diff)) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">if</span> (prev_literal_index != <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>) {</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="comment">// Add var <= prev_var, which is the same as var + not(prev_var) <= 1</span></div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  {<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(literal_index), <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(prev_literal_index).<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()});</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  prev_used_bound = entry.first;</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  prev_literal_index = literal_index;</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// Do the same for the var <= side by using NegationOfVar().</span></div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="comment">// Note that we do not need to add the implications between literals again.</span></div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  {</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  IntegerValue prev_used_bound = integer_trail->LowerBound(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lb_constraint(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, prev_used_bound,</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(-1));</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry :</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  encoder->PartialGreaterThanEncoding(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))) {</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">if</span> (entry.first <= prev_used_bound) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">const</span> IntegerValue diff = prev_used_bound - entry.first;</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="comment">// Skip the entry if the literal doesn't have a view.</span></div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">if</span> (!lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(entry.second, diff)) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  prev_used_bound = entry.first;</div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  }</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> }</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  </div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="keyword">namespace </span>{</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// Adds enforcing_lit => target <= bounding_var to relaxation.</span></div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="keywordtype">void</span> AppendEnforcedUpperBound(<span class="keyword">const</span> Literal enforcing_lit,</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">const</span> IntegerVariable target,</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">const</span> IntegerVariable bounding_var, Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  LinearRelaxation* relaxation) {</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  IntegerTrail* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<IntegerTrail>();</div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">const</span> IntegerValue max_target_value = integer_trail->UpperBound(target);</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">const</span> IntegerValue min_var_value = integer_trail->LowerBound(bounding_var);</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> IntegerValue max_term_value = max_target_value - min_var_value;</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  LinearConstraintBuilder lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, max_term_value);</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  lc.AddTerm(target, IntegerValue(1));</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  lc.AddTerm(bounding_var, IntegerValue(-1));</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  CHECK(lc.AddLiteralTerm(enforcing_lit, max_term_value));</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  relaxation->linear_constraints.push_back(lc.Build());</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> }</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// Adds {enforcing_lits} => rhs_domain_min <= expr <= rhs_domain_max.</span></div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment">// Requires expr offset to be 0.</span></div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="keywordtype">void</span> AppendEnforcedLinearExpression(</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">const</span> std::vector<Literal>& enforcing_literals,</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">const</span> LinearExpression& expr, <span class="keyword">const</span> IntegerValue rhs_domain_min,</div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">const</span> IntegerValue rhs_domain_max, <span class="keyword">const</span> Model& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  LinearRelaxation* relaxation) {</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  CHECK_EQ(expr.offset, IntegerValue(0));</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keyword">const</span> LinearExpression canonical_expr = <a class="code" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">CanonicalizeExpr</a>(expr);</div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">const</span> IntegerTrail* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<IntegerTrail>();</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keyword">const</span> IntegerValue min_expr_value =</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(canonical_expr, *integer_trail);</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  </div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordflow">if</span> (rhs_domain_min > min_expr_value) {</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="comment">// And(ei) => terms >= rhs_domain_min</span></div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="comment">// <=> Sum_i (~ei * (rhs_domain_min - min_expr_value)) + terms >=</span></div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="comment">// rhs_domain_min</span></div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  LinearConstraintBuilder lc(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs_domain_min, <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal& <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcing_literals) {</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  CHECK(lc.AddLiteralTerm(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(),</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  rhs_domain_min - min_expr_value));</div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < canonical_expr.vars.size(); i++) {</div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  lc.AddTerm(canonical_expr.vars[i], canonical_expr.coeffs[i]);</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  }</div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  relaxation->linear_constraints.push_back(lc.Build());</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  }</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">const</span> IntegerValue max_expr_value =</div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(canonical_expr, *integer_trail);</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">if</span> (rhs_domain_max < max_expr_value) {</div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="comment">// And(ei) => terms <= rhs_domain_max</span></div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="comment">// <=> Sum_i (~ei * (rhs_domain_max - max_expr_value)) + terms <=</span></div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="comment">// rhs_domain_max</span></div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  LinearConstraintBuilder lc(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, rhs_domain_max);</div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal& <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcing_literals) {</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  CHECK(lc.AddLiteralTerm(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(),</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  rhs_domain_max - max_expr_value));</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  }</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < canonical_expr.vars.size(); i++) {</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  lc.AddTerm(canonical_expr.vars[i], canonical_expr.coeffs[i]);</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  }</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  relaxation->linear_constraints.push_back(lc.Build());</div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  }</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> }</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  </div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> } <span class="comment">// namespace</span></div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  </div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment">// Add a linear relaxation of the CP constraint to the set of linear</span></div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment">// constraints. The highest linearization_level is, the more types of constraint</span></div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment">// we encode. This method should be called only for linearization_level > 0.</span></div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="comment">// Note: IntProd is linearized dynamically using the cut generators.</span></div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment">// TODO(user): In full generality, we could encode all the constraint as an LP.</span></div>
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<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment">// TODO(user,user): Add unit tests for this method.</span></div>
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<div class="line"><a name="l00315"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a94739087f86f5e1b7679d5371d4d9f4b"> 315</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a94739087f86f5e1b7679d5371d4d9f4b">TryToLinearizeConstraint</a>(<span class="keyword">const</span> CpModelProto& <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
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<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">const</span> ConstraintProto& <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <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>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordtype">int</span> linearization_level,</div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  CHECK_EQ(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>>()-><a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>(), 0);</div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  DCHECK_GT(linearization_level, 0);</div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>>();</div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() == ConstraintProto::ConstraintCase::kBoolOr) {</div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  CHECK(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping->Literal(<a class="code" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(enforcement_ref)),</div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  IntegerValue(1)));</div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  }</div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_or().literals()) {</div>
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<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  CHECK(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping->Literal(ref), IntegerValue(1)));</div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  }</div>
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<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  ConstraintProto::ConstraintCase::kBoolAnd) {</div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="comment">// TODO(user): These constraints can be many, and if they are not regrouped</span></div>
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|
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="comment">// in big at most ones, then they should probably only added lazily as cuts.</span></div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="comment">// Regroup this with future clique-cut separation logic.</span></div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal().size() == 1) {</div>
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<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> enforcement = mapping-><a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal(0));</div>
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<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals()) {</div>
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<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div>
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<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  {enforcement, mapping-><a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(ref).Negated()});</div>
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|
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  }</div>
|
|
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  }</div>
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<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  </div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="comment">// Andi(e_i) => Andj(x_j)</span></div>
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|
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="comment">// <=> num_rhs_terms <= Sum_j(x_j) + num_rhs_terms * Sum_i(~e_i)</span></div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordtype">int</span> num_literals = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals_size();</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(num_literals),</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals()) {</div>
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<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  CHECK(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping->Literal(ref), IntegerValue(1)));</div>
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<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  }</div>
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<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div>
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|
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  CHECK(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping->Literal(<a class="code" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(enforcement_ref)),</div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  IntegerValue(num_literals)));</div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  ConstraintProto::ConstraintCase::kAtMostOne) {</div>
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<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  std::vector<Literal> at_most_one;</div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.at_most_one().literals()) {</div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  at_most_one.push_back(mapping->Literal(ref));</div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div>
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<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one);</div>
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|
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() == ConstraintProto::ConstraintCase::kIntMax) {</div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keyword">const</span> IntegerVariable target = mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().target());</div>
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<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keyword">const</span> std::vector<IntegerVariable> vars =</div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  mapping->Integers(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().vars());</div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a69d42878d739b511b1abd4843592cdb3">AppendMaxRelaxation</a>(target, vars, linearization_level, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  </div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() == ConstraintProto::ConstraintCase::kIntMin) {</div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keyword">const</span> IntegerVariable negative_target =</div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_min().target()));</div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="keyword">const</span> std::vector<IntegerVariable> negative_vars =</div>
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<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(mapping->Integers(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_min().vars()));</div>
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<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a69d42878d739b511b1abd4843592cdb3">AppendMaxRelaxation</a>(negative_target, negative_vars, linearization_level,</div>
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<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() == ConstraintProto::ConstraintCase::kLinear) {</div>
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<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a1d3cc11409a085647b7fb94b62a82ae5">AppendLinearConstraintRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, *<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  relaxation);</div>
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<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  ConstraintProto::ConstraintCase::kCircuit) {</div>
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<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_arcs = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals_size();</div>
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<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  CHECK_EQ(num_arcs, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails_size());</div>
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<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  CHECK_EQ(num_arcs, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads_size());</div>
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<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  </div>
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<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="comment">// Each node must have exactly one incoming and one outgoing arc (note that</span></div>
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<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="comment">// it can be the unique self-arc of this node too).</span></div>
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<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  std::map<int, std::vector<Literal>> incoming_arc_constraints;</div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  std::map<int, std::vector<Literal>> outgoing_arc_constraints;</div>
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<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_arcs; i++) {</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> arc = mapping-><a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals(i));</div>
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<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__flow_8cc.html#a10b672faee4b99c6a02feb0e343f3b0f">tail</a> = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails(i);</div>
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<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__flow_8cc.html#ac891d9f514e55ec8ee1212757a147888">head</a> = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads(i);</div>
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<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  </div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="comment">// Make sure this literal has a view.</span></div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">NewIntegerVariableFromLiteral</a>(arc));</div>
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<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  outgoing_arc_constraints[<a class="code" href="routing__flow_8cc.html#a10b672faee4b99c6a02feb0e343f3b0f">tail</a>].push_back(arc);</div>
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<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  incoming_arc_constraints[<a class="code" href="routing__flow_8cc.html#ac891d9f514e55ec8ee1212757a147888">head</a>].push_back(arc);</div>
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<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  }</div>
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<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>* node_map :</div>
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<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  {&outgoing_arc_constraints, &incoming_arc_constraints}) {</div>
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<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& entry : *node_map) {</div>
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<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keyword">const</span> std::vector<Literal>& exactly_one = entry.second;</div>
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<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">if</span> (exactly_one.size() > 1) {</div>
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<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one_lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
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<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
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<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <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 : exactly_one) {</div>
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<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  CHECK(at_least_one_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(l, IntegerValue(1)));</div>
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<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  }</div>
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<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  </div>
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<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="comment">// We separate the two constraints.</span></div>
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<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(exactly_one);</div>
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<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  }</div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  }</div>
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<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  }</div>
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<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  ConstraintProto::ConstraintCase::kElement) {</div>
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<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.element().index());</div>
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<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="keyword">const</span> IntegerVariable target = mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.element().target());</div>
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<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keyword">const</span> std::vector<IntegerVariable> vars =</div>
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<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  mapping->Integers(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.element().vars());</div>
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<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  </div>
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<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="comment">// We only relax the case where all the vars are constant.</span></div>
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<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="comment">// target = sum (index == i) * fixed_vars[i].</span></div>
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<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> constraint(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0), IntegerValue(0));</div>
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<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(-1));</div>
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<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> literal_value : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a4ae75bf9ab807bf21ce2caebb7321be0">FullyEncodeVariable</a>((<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>)))) {</div>
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<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars[literal_value.value.value()];</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">if</span> (!<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Get(<a class="code" href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d">IsFixed</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  </div>
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<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="comment">// Make sure this literal has a view.</span></div>
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<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">NewIntegerVariableFromLiteral</a>(literal_value.literal));</div>
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<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  CHECK(constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(literal_value.literal,</div>
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<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)));</div>
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<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  }</div>
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<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  </div>
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<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  ConstraintProto::ConstraintCase::kInterval) {</div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <span class="keyword">const</span> IntegerVariable start = mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().start());</div>
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keyword">const</span> IntegerVariable size = mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().size());</div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="keyword">const</span> IntegerVariable end = mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().end());</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> size_is_fixed = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(size);</div>
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<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="keyword">const</span> IntegerValue rhs =</div>
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<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  size_is_fixed ? -integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(size) : IntegerValue(0);</div>
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<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs, rhs);</div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(start, IntegerValue(1));</div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">if</span> (!size_is_fixed) {</div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(size, IntegerValue(1));</div>
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<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  }</div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(end, IntegerValue(-1));</div>
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<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div>
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<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> tmp_lc = lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>();</div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr;</div>
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<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
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<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div>
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<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  AppendEnforcedLinearExpression(</div>
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<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  mapping->Literals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()), expr, tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>,</div>
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<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, *<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  }</div>
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<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  ConstraintProto::ConstraintCase::kNoOverlap) {</div>
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<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#acc7b292198fce358615d0295cd1c3078">AppendNoOverlapRelaxation</a>(<a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  relaxation);</div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() ==</div>
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<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  ConstraintProto::ConstraintCase::kCumulative) {</div>
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<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#ae32ce362cc268798a2365882c1de7894">AppendCumulativeRelaxation</a>(<a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  relaxation);</div>
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<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  }</div>
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<div class="line"><a name="l00485"></a><span class="lineno"> 485</span> }</div>
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<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  </div>
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<div class="line"><a name="l00487"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a68ff1f863724fe79ccef1681c5b6db83"> 487</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a68ff1f863724fe79ccef1681c5b6db83">AddCumulativeCut</a>(<span class="keyword">const</span> std::vector<IntervalVariable>& intervals,</div>
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<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& demands,</div>
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<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  IntegerValue capacity_lower_bound, <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>
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<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">SchedulingConstraintHelper</a> helper(intervals, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_intervals = helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#ad9b4a962b743e358f3a7c4b2279f99c8">NumTasks</a>();</div>
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<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  </div>
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<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  </div>
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<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  IntegerValue min_of_starts = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
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<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  IntegerValue max_of_ends = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
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<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  </div>
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<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="keywordtype">int</span> num_variable_sizes = 0;</div>
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<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="keywordtype">int</span> num_optionals = 0;</div>
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<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  </div>
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<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = 0; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> < num_intervals; ++<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) {</div>
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<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  min_of_starts = <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(min_of_starts, helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#ab3a2a28d08246d8f3432caa1a27811b8">StartMin</a>(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div>
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<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  max_of_ends = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(max_of_ends, helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a9125ec8126e6035eacce8a5eb52b45c5">EndMax</a>(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div>
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<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  </div>
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<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="keywordflow">if</span> (helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a9fa7bdc81941d5eae85952db86867de0">IsOptional</a>(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>)) {</div>
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<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  num_optionals++;</div>
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<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  }</div>
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<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  </div>
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<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keywordflow">if</span> (!helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a63f565c8739300c26c9c42ae82f2faef">SizeIsFixed</a>(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) ||</div>
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<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  (!demands.empty() && !integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]))) {</div>
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<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  num_variable_sizes++;</div>
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<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  }</div>
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<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  }</div>
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<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  </div>
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<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  VLOG(2) << <span class="stringliteral">"Span ["</span> << min_of_starts << <span class="stringliteral">".."</span> << max_of_ends << <span class="stringliteral">"] with "</span></div>
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<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  << num_optionals << <span class="stringliteral">" optional intervals, and "</span> << num_variable_sizes</div>
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<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  << <span class="stringliteral">" variable size intervals out of "</span> << num_intervals</div>
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<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  << <span class="stringliteral">" intervals"</span>;</div>
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<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  </div>
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<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <span class="keywordflow">if</span> (num_variable_sizes + num_optionals == 0) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  </div>
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<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keyword">const</span> IntegerVariable span_start =</div>
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<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_of_starts, max_of_ends);</div>
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<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <span class="keyword">const</span> IntegerVariable span_size = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(</div>
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<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  IntegerValue(0), max_of_ends - min_of_starts);</div>
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|
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keyword">const</span> IntegerVariable span_end =</div>
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<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_of_starts, max_of_ends);</div>
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<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  </div>
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<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  IntervalVariable span_var;</div>
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<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="keywordflow">if</span> (num_optionals < num_intervals) {</div>
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<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  span_var = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a5e73a3f1991b59b82c0305c56add5b2b">NewInterval</a>(span_start, span_end, span_size));</div>
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<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> span_lit = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
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<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  span_var = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(</div>
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<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a3460e93c00f161146120fa1d3afa6757">NewOptionalInterval</a>(span_start, span_end, span_size, span_lit));</div>
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<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  }</div>
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<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  </div>
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<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#ab8a2ed985fe84324a04b05b0368f50b0">SpanOfIntervals</a>(span_var, intervals));</div>
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<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  </div>
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<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div>
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<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(span_size, -capacity_lower_bound);</div>
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<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_intervals; ++i) {</div>
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<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keyword">const</span> IntegerValue demand_lower_bound =</div>
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<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  demands.empty() ? IntegerValue(1)</div>
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<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  : integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(demands[i]);</div>
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|
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> demand_is_fixed =</div>
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<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  demands.empty() || integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[i]);</div>
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<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keywordflow">if</span> (!helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a9fa7bdc81941d5eae85952db86867de0">IsOptional</a>(i)) {</div>
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<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="keywordflow">if</span> (helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a63f565c8739300c26c9c42ae82f2faef">SizeIsFixed</a>(i) && !demands.empty()) {</div>
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<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(demands[i], helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#afdbd968230d01fa0e91bc15b6f5994e3">SizeMin</a>(i));</div>
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<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (demand_is_fixed) {</div>
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<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a5753d4fb74f7ec5b437bfe17f89eed38">SizeVars</a>()[i], demand_lower_bound);</div>
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<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  } <span class="keywordflow">else</span> { <span class="comment">// demand and size are not fixed.</span></div>
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<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  DCHECK(!demands.empty());</div>
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<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="comment">// We use McCormick equation.</span></div>
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|
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="comment">// demand * size = (demand_min + delta_d) * (size_min + delta_s) =</span></div>
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<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="comment">// demand_min * size_min + delta_d * size_min +</span></div>
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<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="comment">// delta_s * demand_min + delta_s * delta_d</span></div>
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<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <span class="comment">// which is >= (by ignoring the quatratic term)</span></div>
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<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="comment">// demand_min * size + size_min * demand - demand_min * size_min</span></div>
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<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a5753d4fb74f7ec5b437bfe17f89eed38">SizeVars</a>()[i], demand_lower_bound);</div>
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<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(demands[i], helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#afdbd968230d01fa0e91bc15b6f5994e3">SizeMin</a>(i));</div>
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<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(-helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#afdbd968230d01fa0e91bc15b6f5994e3">SizeMin</a>(i) * demand_lower_bound);</div>
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<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  }</div>
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<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="keywordflow">if</span> (!lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#ac8a0cc4c1cca9aefa21788b096954f31">PresenceLiteral</a>(i),</div>
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<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  helper.<a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#afdbd968230d01fa0e91bc15b6f5994e3">SizeMin</a>(i) * demand_lower_bound)) {</div>
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<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  }</div>
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<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  }</div>
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<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  }</div>
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<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00574"></a><span class="lineno"> 574</span> }</div>
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<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  </div>
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<div class="line"><a name="l00576"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae32ce362cc268798a2365882c1de7894"> 576</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae32ce362cc268798a2365882c1de7894">AppendCumulativeRelaxation</a>(<span class="keyword">const</span> CpModelProto& <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
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<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keyword">const</span> ConstraintProto& <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>,</div>
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<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keywordtype">int</span> linearization_level, <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>
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<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  CHECK(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_cumulative());</div>
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<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  </div>
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<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>>();</div>
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<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <span class="keyword">const</span> std::vector<IntegerVariable> demands =</div>
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<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  mapping-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a29dc0991abf59a6d30c457b2de0f8e0b">Integers</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().demands());</div>
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<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  std::vector<IntervalVariable> intervals =</div>
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<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  mapping->Intervals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().intervals());</div>
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<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="keyword">const</span> IntegerValue capacity_lower_bound =</div>
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<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>()-><a class="code" href="namespaceoperations__research_1_1sat.html#a1000a311929a470e5485258d765eeabd">LowerBound</a>(</div>
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<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  mapping->Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().capacity()));</div>
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<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a68ff1f863724fe79ccef1681c5b6db83">AddCumulativeCut</a>(intervals, demands, capacity_lower_bound, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> }</div>
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<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  </div>
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<div class="line"><a name="l00595"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acc7b292198fce358615d0295cd1c3078"> 595</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#acc7b292198fce358615d0295cd1c3078">AppendNoOverlapRelaxation</a>(<span class="keyword">const</span> CpModelProto& <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
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|
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keyword">const</span> ConstraintProto& <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>,</div>
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|
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <span class="keywordtype">int</span> linearization_level, <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>
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|
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
|
|
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  CHECK(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_no_overlap());</div>
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<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  </div>
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<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>>();</div>
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<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  std::vector<IntervalVariable> intervals =</div>
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<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  mapping-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a39bcc12f6eb31e15986f6a824e9bae8c">Intervals</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap().intervals());</div>
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<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a68ff1f863724fe79ccef1681c5b6db83">AddCumulativeCut</a>(intervals, <span class="comment">/*demands=*/</span>{},</div>
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<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <span class="comment">/*capacity_lower_bound=*/</span>IntegerValue(1), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> }</div>
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<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  </div>
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<div class="line"><a name="l00610"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a69d42878d739b511b1abd4843592cdb3"> 610</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a69d42878d739b511b1abd4843592cdb3">AppendMaxRelaxation</a>(IntegerVariable target,</div>
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|
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& vars,</div>
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|
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <span class="keywordtype">int</span> linearization_level, <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>
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|
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="comment">// Case X = max(X_1, X_2, ..., X_N)</span></div>
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<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="comment">// Part 1: Encode X >= max(X_1, X_2, ..., X_N)</span></div>
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<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div>
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<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="comment">// This deal with the corner case X = max(X, Y, Z, ..) !</span></div>
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<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="comment">// Note that this can be presolved into X >= Y, X >= Z, ...</span></div>
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<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="keywordflow">if</span> (target == <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div>
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<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(-1));</div>
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<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  }</div>
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<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  </div>
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<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="comment">// Part 2: Encode upper bound on X.</span></div>
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<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>>();</div>
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<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="comment">// For size = 2, we do this with 1 less variable.</span></div>
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<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>();</div>
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<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <span class="keywordflow">if</span> (vars.size() == 2) {</div>
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<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  IntegerVariable y = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a79dd91110f5d70b761738e261bc56ed4">NewIntegerVariable</a>(0, 1));</div>
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<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> y_lit =</div>
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<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  encoder->GetOrCreateLiteralAssociatedToEquality(y, IntegerValue(1));</div>
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<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  AppendEnforcedUpperBound(y_lit, target, vars[0], <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  </div>
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<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  <span class="comment">// TODO(user,user): It makes more sense to use ConditionalLowerOrEqual()</span></div>
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<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="comment">// here, but that degrades perf on the road*.fzn problem. Understand why.</span></div>
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<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* upper_bound1 = <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
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<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  {y_lit}, {target, vars[0]}, {IntegerValue(1), IntegerValue(-1)},</div>
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<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  IntegerValue(0), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  upper_bound1-><a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(watcher);</div>
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<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->TakeOwnership(upper_bound1);</div>
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<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  AppendEnforcedUpperBound(y_lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(), target, vars[1], <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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|
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  relaxation);</div>
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<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* upper_bound2 = <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
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<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  {y_lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()}, {target, vars[1]},</div>
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<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  {IntegerValue(1), IntegerValue(-1)}, IntegerValue(0), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  upper_bound2-><a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(watcher);</div>
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<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->TakeOwnership(upper_bound2);</div>
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<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  }</div>
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<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="comment">// For each X_i, we encode y_i => X <= X_i. And at least one of the y_i is</span></div>
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<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  <span class="comment">// true. Note that the correct y_i will be chosen because of the first part in</span></div>
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<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="comment">// linearlization (X >= X_i).</span></div>
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<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="comment">// TODO(user): Only lower bound is needed, experiment.</span></div>
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<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc_exactly_one(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
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<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  IntegerValue(1));</div>
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<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  std::vector<Literal> exactly_one_literals;</div>
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<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  exactly_one_literals.reserve(vars.size());</div>
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<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div>
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<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="keywordflow">if</span> (target == <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="comment">// y => X <= X_i.</span></div>
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<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <span class="comment">// <=> max_term_value * y + X - X_i <= max_term_value.</span></div>
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<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="comment">// where max_tern_value is X_ub - X_i_lb.</span></div>
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<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  IntegerVariable y = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a79dd91110f5d70b761738e261bc56ed4">NewIntegerVariable</a>(0, 1));</div>
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<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> y_lit =</div>
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<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  encoder->GetOrCreateLiteralAssociatedToEquality(y, IntegerValue(1));</div>
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<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  </div>
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<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  AppendEnforcedUpperBound(y_lit, target, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
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<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* upper_bound_constraint = <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
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<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  {y_lit}, {target, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>}, {IntegerValue(1), IntegerValue(-1)},</div>
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<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  IntegerValue(0), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  upper_bound_constraint-><a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(watcher);</div>
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<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->TakeOwnership(upper_bound_constraint);</div>
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<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  exactly_one_literals.push_back(y_lit);</div>
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<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  </div>
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<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  CHECK(lc_exactly_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(y_lit, IntegerValue(1)));</div>
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<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  }</div>
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<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">ExactlyOneConstraint</a>(exactly_one_literals));</div>
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<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc_exactly_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00682"></a><span class="lineno"> 682</span> }</div>
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<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  </div>
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<div class="line"><a name="l00684"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a130634b7e74e7c3eee64967e6bd5bb15"> 684</a></span> std::vector<IntegerVariable> <a class="code" href="namespaceoperations__research_1_1sat.html#a130634b7e74e7c3eee64967e6bd5bb15">AppendLinMaxRelaxation</a>(</div>
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<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  IntegerVariable target, <span class="keyword">const</span> std::vector<LinearExpression>& exprs,</div>
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<div class="line"><a name="l00686"></a><span class="lineno"> 686</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>, <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  <span class="comment">// We want to linearize X = max(exprs[1], exprs[2], ..., exprs[d]).</span></div>
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<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <span class="comment">// Part 1: Encode X >= max(exprs[1], exprs[2], ..., exprs[d])</span></div>
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<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr : exprs) {</div>
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<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, -expr.offset);</div>
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<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < expr.vars.size(); ++i) {</div>
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<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(expr.vars[i], expr.coeffs[i]);</div>
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<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  }</div>
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<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(-1));</div>
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<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  }</div>
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<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  </div>
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<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="comment">// Part 2: Encode upper bound on X.</span></div>
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<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  </div>
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<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="comment">// Add linking constraint to the CP solver</span></div>
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<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  <span class="comment">// sum zi = 1 and for all i, zi => max = expr_i.</span></div>
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<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_exprs = exprs.size();</div>
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<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>();</div>
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<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>>();</div>
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<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  </div>
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<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="comment">// TODO(user): For the case where num_exprs = 2, Create only one z var.</span></div>
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<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  std::vector<IntegerVariable> z_vars;</div>
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<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  std::vector<Literal> z_lits;</div>
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<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  z_vars.reserve(num_exprs);</div>
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<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  z_lits.reserve(num_exprs);</div>
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<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc_exactly_one(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
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<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  IntegerValue(1));</div>
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<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  std::vector<Literal> exactly_one_literals;</div>
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<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_exprs; ++i) {</div>
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<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  IntegerVariable z = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a79dd91110f5d70b761738e261bc56ed4">NewIntegerVariable</a>(0, 1));</div>
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<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  z_vars.push_back(z);</div>
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<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> z_lit =</div>
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<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  encoder-><a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a074fe196a1aaff1dd5fd73e0b3bb1f0e">GetOrCreateLiteralAssociatedToEquality</a>(z, IntegerValue(1));</div>
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<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  z_lits.push_back(z_lit);</div>
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<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> local_expr;</div>
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<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(exprs[i].vars);</div>
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<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(target);</div>
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<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = exprs[i].coeffs;</div>
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<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(1));</div>
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<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* upper_bound = <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
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<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  {z_lit}, local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>, exprs[i].offset, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  upper_bound-><a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(watcher);</div>
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<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->TakeOwnership(upper_bound);</div>
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<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  </div>
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<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  CHECK(lc_exactly_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(z_lit, IntegerValue(1)));</div>
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<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  }</div>
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|
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">ExactlyOneConstraint</a>(z_lits));</div>
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<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  </div>
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<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <span class="comment">// For the relaxation, we use different constraints with a stronger linear</span></div>
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|
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  <span class="comment">// relaxation as explained in the .h</span></div>
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|
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  <span class="comment">// TODO(user): Consider passing the x_vars to this method instead of</span></div>
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|
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  <span class="comment">// computing it here.</span></div>
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|
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  std::vector<IntegerVariable> x_vars;</div>
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|
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_exprs; ++i) {</div>
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<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  x_vars.insert(x_vars.end(), exprs[i].vars.begin(), exprs[i].vars.end());</div>
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<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  }</div>
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<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&x_vars);</div>
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|
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="comment">// All expressions should only contain positive variables.</span></div>
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<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  DCHECK(std::all_of(x_vars.begin(), x_vars.end(), [](IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
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<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  return VariableIsPositive(var);</div>
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<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  }));</div>
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<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  </div>
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<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  std::vector<std::vector<IntegerValue>> sum_of_max_corner_diff(</div>
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<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  num_exprs, std::vector<IntegerValue>(num_exprs, IntegerValue(0)));</div>
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<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  </div>
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<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_exprs; ++i) {</div>
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<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < num_exprs; ++j) {</div>
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<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <span class="keywordflow">if</span> (i == j) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable x_var : x_vars) {</div>
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<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <span class="keyword">const</span> IntegerValue lb = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x_var);</div>
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<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <span class="keyword">const</span> IntegerValue ub = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(x_var);</div>
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<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  <span class="keyword">const</span> IntegerValue diff =</div>
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<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(x_var, exprs[j]) - <a class="code" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(x_var, exprs[i]);</div>
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<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  sum_of_max_corner_diff[i][j] += <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(diff * lb, diff * ub);</div>
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|
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  }</div>
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|
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  }</div>
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|
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  }</div>
|
|
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_exprs; ++i) {</div>
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<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div>
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|
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(1));</div>
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|
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < exprs[i].vars.size(); ++j) {</div>
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<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(exprs[i].vars[j], -exprs[i].coeffs[j]);</div>
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|
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  }</div>
|
|
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < num_exprs; ++j) {</div>
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<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  CHECK(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(z_lits[j],</div>
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|
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  -exprs[j].offset - sum_of_max_corner_diff[i][j]));</div>
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|
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  }</div>
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|
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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|
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  }</div>
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|
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  </div>
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|
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc_exactly_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
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|
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  <span class="keywordflow">return</span> z_vars;</div>
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|
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span> }</div>
|
|
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  </div>
|
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<div class="line"><a name="l00781"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1d3cc11409a085647b7fb94b62a82ae5"> 781</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a1d3cc11409a085647b7fb94b62a82ae5">AppendLinearConstraintRelaxation</a>(<span class="keyword">const</span> ConstraintProto& constraint_proto,</div>
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|
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> linearization_level,</div>
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|
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <span class="keyword">const</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>
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|
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
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|
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get<<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>>();</div>
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|
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  </div>
|
|
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="comment">// Note that we ignore the holes in the domain.</span></div>
|
|
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  <span class="comment">// TODO(user): In LoadLinearConstraint() we already created intermediate</span></div>
|
|
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  <span class="comment">// Booleans for each disjoint interval, we should reuse them here if</span></div>
|
|
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <span class="comment">// possible.</span></div>
|
|
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  <span class="comment">// TODO(user): process the "at most one" part of a == 1 separately?</span></div>
|
|
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  <span class="keyword">const</span> IntegerValue rhs_domain_min =</div>
|
|
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  IntegerValue(constraint_proto.linear().domain(0));</div>
|
|
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  <span class="keyword">const</span> IntegerValue rhs_domain_max =</div>
|
|
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  IntegerValue(constraint_proto.linear().domain(</div>
|
|
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  constraint_proto.linear().domain_size() - 1));</div>
|
|
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <span class="keywordflow">if</span> (rhs_domain_min == <a class="code" href="integral__types_8h.html#af458164b470cbba416d5ed579e00ff60">kint64min</a> && rhs_domain_max == <a class="code" href="integral__types_8h.html#a74ea76ea27f48fb1b6e148e1577b3719">kint64max</a>) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  </div>
|
|
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(constraint_proto)) {</div>
|
|
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(&<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs_domain_min, rhs_domain_max);</div>
|
|
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint_proto.linear().vars_size(); i++) {</div>
|
|
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> ref = constraint_proto.linear().vars(i);</div>
|
|
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> coeff = constraint_proto.linear().coeffs(i);</div>
|
|
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(mapping->Integer(ref), IntegerValue(coeff));</div>
|
|
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  }</div>
|
|
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  relaxation-><a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
|
|
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  }</div>
|
|
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  </div>
|
|
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="comment">// Reified version.</span></div>
|
|
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <span class="keywordflow">if</span> (linearization_level < 2) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  </div>
|
|
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <span class="comment">// We linearize fully reified constraints of size 1 all together for a given</span></div>
|
|
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="comment">// variable. But we need to process half-reified ones.</span></div>
|
|
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <span class="keywordflow">if</span> (!mapping->IsHalfEncodingConstraint(&constraint_proto) &&</div>
|
|
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  constraint_proto.linear().vars_size() <= 1) {</div>
|
|
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  }</div>
|
|
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  </div>
|
|
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  std::vector<Literal> enforcing_literals;</div>
|
|
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  enforcing_literals.reserve(constraint_proto.enforcement_literal_size());</div>
|
|
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : constraint_proto.enforcement_literal()) {</div>
|
|
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  enforcing_literals.push_back(mapping->Literal(enforcement_ref));</div>
|
|
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  }</div>
|
|
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr;</div>
|
|
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.reserve(constraint_proto.linear().vars_size());</div>
|
|
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.reserve(constraint_proto.linear().vars_size());</div>
|
|
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint_proto.linear().vars_size(); i++) {</div>
|
|
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  <span class="keywordtype">int</span> ref = constraint_proto.linear().vars(i);</div>
|
|
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  IntegerValue coeff(constraint_proto.linear().coeffs(i));</div>
|
|
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref)) {</div>
|
|
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  ref = <a class="code" href="namespaceoperations__research_1_1sat.html#acdbc8ad33149d45a6e6fcd8b72fd68ed">PositiveRef</a>(ref);</div>
|
|
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  coeff = -coeff;</div>
|
|
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  }</div>
|
|
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  <span class="keyword">const</span> IntegerVariable int_var = mapping->Integer(ref);</div>
|
|
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(int_var);</div>
|
|
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(coeff);</div>
|
|
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  }</div>
|
|
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  AppendEnforcedLinearExpression(enforcing_literals, expr, rhs_domain_min,</div>
|
|
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  rhs_domain_max, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
|
|
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span> }</div>
|
|
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  </div>
|
|
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span> } <span class="comment">// namespace sat</span></div>
|
|
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span> } <span class="comment">// namespace operations_research</span></div>
|
|
</div><!-- fragment --></div><!-- contents -->
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|
</div><!-- doc-content -->
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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#l01858">expr_array.cc:1858</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cp_model_mapping_html_a29dc0991abf59a6d30c457b2de0f8e0b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a29dc0991abf59a6d30c457b2de0f8e0b">operations_research::sat::CpModelMapping::Integers</a></div><div class="ttdeci">std::vector< IntegerVariable > Integers(const List &list) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__loader_8h_source.html#l00129">cp_model_loader.h:129</a></div></div>
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<div class="ttc" id="arouting__flow_8cc_html_a10b672faee4b99c6a02feb0e343f3b0f"><div class="ttname"><a href="routing__flow_8cc.html#a10b672faee4b99c6a02feb0e343f3b0f">tail</a></div><div class="ttdeci">int64 tail</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00127">routing_flow.cc:127</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1000a311929a470e5485258d765eeabd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1000a311929a470e5485258d765eeabd">operations_research::sat::LowerBound</a></div><div class="ttdeci">std::function< int64(const Model &)> LowerBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01386">integer.h:1386</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_relaxation_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_relaxation.html">operations_research::sat::LinearRelaxation</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00028">linear_relaxation.h:28</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_ab3a2a28d08246d8f3432caa1a27811b8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#ab3a2a28d08246d8f3432caa1a27811b8">operations_research::sat::SchedulingConstraintHelper::StartMin</a></div><div class="ttdeci">IntegerValue StartMin(int t) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00374">intervals.h:374</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a68ff1f863724fe79ccef1681c5b6db83"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a68ff1f863724fe79ccef1681c5b6db83">operations_research::sat::AddCumulativeCut</a></div><div class="ttdeci">void AddCumulativeCut(const std::vector< IntervalVariable > &intervals, const std::vector< IntegerVariable > &demands, IntegerValue capacity_lower_bound, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00487">linear_relaxation.cc:487</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a021e695f54a13bd809c34b2f4ca87c37"><div class="ttname"><a href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a></div><div class="ttdeci">int64 min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00138">alldiff_cst.cc:138</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00523">integer.h:523</a></div></div>
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<div class="ttc" id="acp__model_8pb_8h_html"><div class="ttname"><a href="cp__model_8pb_8h.html">cp_model.pb.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a9d0c202d5fdd62f4fa2c613339ff168a"><div class="ttname"><a href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a></div><div class="ttdeci">int64 max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5564bcb1461ad3cbce7f744c3fb58c6b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b">operations_research::sat::AppendFullEncodingRelaxation</a></div><div class="ttdeci">bool AppendFullEncodingRelaxation(IntegerVariable var, const Model &model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00033">linear_relaxation.cc:33</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearConstraint::vars</a></div><div class="ttdeci">std::vector< IntegerVariable > vars</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00042">linear_constraint.h:42</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a8ef32d79f50eb45bb9305c8b436cf6c4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">operations_research::sat::LinearConstraintBuilder::Build</a></div><div class="ttdeci">LinearConstraint Build()</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00113">linear_constraint.cc:113</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">operations_research::sat::IntegerSumLE</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00049">integer_expr.h:49</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2dbcb7017d468a17bdb30252af5c6c31"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">operations_research::sat::kNoLiteralIndex</a></div><div class="ttdeci">const LiteralIndex kNoLiteralIndex(-1)</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acc7b292198fce358615d0295cd1c3078"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acc7b292198fce358615d0295cd1c3078">operations_research::sat::AppendNoOverlapRelaxation</a></div><div class="ttdeci">void AppendNoOverlapRelaxation(const CpModelProto &model_proto, const ConstraintProto &ct, int linearization_level, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00595">linear_relaxation.cc:595</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_ac8a0cc4c1cca9aefa21788b096954f31"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#ac8a0cc4c1cca9aefa21788b096954f31">operations_research::sat::SchedulingConstraintHelper::PresenceLiteral</a></div><div class="ttdeci">Literal PresenceLiteral(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00265">intervals.h:265</a></div></div>
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<div class="ttc" id="alinear__constraint_8h_html"><div class="ttname"><a href="linear__constraint_8h.html">linear_constraint.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a9ab880b5e67213a0607c5c3935da9f08"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">operations_research::sat::IntegerTrail::LevelZeroUpperBound</a></div><div class="ttdeci">IntegerValue LevelZeroUpperBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01283">integer.h:1283</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa68cc40c827bff2fb311040e2b848f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">operations_research::sat::IntegerTrail::LevelZeroLowerBound</a></div><div class="ttdeci">IntegerValue LevelZeroLowerBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01278">integer.h:1278</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00058">sat_solver.h:58</a></div></div>
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<div class="ttc" id="acp__model__solver_8cc_html_a6ac76d8a372013f67c4973012948ec84"><div class="ttname"><a href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a></div><div class="ttdeci">CpModelProto const * model_proto</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l02061">cp_model_solver.cc:2061</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad8620567e3849359ab6deda5f97aef91"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">operations_research::sat::LinExprUpperBound</a></div><div class="ttdeci">IntegerValue LinExprUpperBound(const LinearExpression &expr, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00301">linear_constraint.cc:301</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_a9fa7bdc81941d5eae85952db86867de0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a9fa7bdc81941d5eae85952db86867de0">operations_research::sat::SchedulingConstraintHelper::IsOptional</a></div><div class="ttdeci">bool IsOptional(int t) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00403">intervals.h:403</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a130634b7e74e7c3eee64967e6bd5bb15"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a130634b7e74e7c3eee64967e6bd5bb15">operations_research::sat::AppendLinMaxRelaxation</a></div><div class="ttdeci">std::vector< IntegerVariable > AppendLinMaxRelaxation(IntegerVariable target, const std::vector< LinearExpression > &exprs, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00684">linear_relaxation.cc:684</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">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</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="anamespaceoperations__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< void(Model *)> ExactlyOneConstraint(const std::vector< Literal > &literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00865">sat_solver.h:865</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector< IntegerVariable > NegationOf(const std::vector< IntegerVariable > &vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00042">integer.cc:42</a></div></div>
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<div class="ttc" id="aintegral__types_8h_html_af458164b470cbba416d5ed579e00ff60"><div class="ttname"><a href="integral__types_8h.html#af458164b470cbba416d5ed579e00ff60">kint64min</a></div><div class="ttdeci">static const int64 kint64min</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00060">integral_types.h:60</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_a9125ec8126e6035eacce8a5eb52b45c5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a9125ec8126e6035eacce8a5eb52b45c5">operations_research::sat::SchedulingConstraintHelper::EndMax</a></div><div class="ttdeci">IntegerValue EndMax(int t) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00386">intervals.h:386</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae32ce362cc268798a2365882c1de7894"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae32ce362cc268798a2365882c1de7894">operations_research::sat::AppendCumulativeRelaxation</a></div><div class="ttdeci">void AppendCumulativeRelaxation(const CpModelProto &model_proto, const ConstraintProto &ct, int linearization_level, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00576">linear_relaxation.cc:576</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa2d7b702e17a5cd4108b465385dd9acd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">operations_research::sat::IntegerTrail::AddIntegerVariable</a></div><div class="ttdeci">IntegerVariable AddIntegerVariable(IntegerValue lower_bound, IntegerValue upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00602">integer.cc:602</a></div></div>
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<div class="ttc" id="aintegral__types_8h_html_a7cde0074dfd288f2d70c0e035dacb28a"><div class="ttname"><a href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a></div><div class="ttdeci">int64_t int64</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00034">integral_types.h:34</a></div></div>
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<div class="ttc" id="aclassoperations__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#l00091">sat_base.h:91</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#l00508">pack.cc:508</a></div></div>
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<div class="ttc" id="asat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_ad65ddc0d04d71006a9ebe3b9dcfe2ce6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">operations_research::sat::LinearConstraintBuilder::AddTerm</a></div><div class="ttdeci">void AddTerm(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00022">linear_constraint.cc:22</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a03f5ae0ce9819070959d97a8ba3fafeb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">operations_research::sat::Literal::Literal</a></div><div class="ttdeci">Literal(int signed_value)</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00068">sat_base.h:68</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa490b08ec514e9c567ff098d53353db1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1">operations_research::sat::AppendPartialEncodingRelaxation</a></div><div class="ttdeci">void AppendPartialEncodingRelaxation(IntegerVariable var, const Model &model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00110">linear_relaxation.cc:110</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">operations_research::sat::GenericLiteralWatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01067">integer.h:1067</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8b7508824efeabdd4dfd00ab39bfb969"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">operations_research::sat::GetCoefficient</a></div><div class="ttdeci">IntegerValue GetCoefficient(const IntegerVariable var, const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00334">linear_constraint.cc:334</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_a63f565c8739300c26c9c42ae82f2faef"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a63f565c8739300c26c9c42ae82f2faef">operations_research::sat::SchedulingConstraintHelper::SizeIsFixed</a></div><div class="ttdeci">bool SizeIsFixed(int t) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00368">intervals.h:368</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html_ad63c4461a1384629cb99413c6df8b9ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">operations_research::sat::SatSolver::CurrentDecisionLevel</a></div><div class="ttdeci">int CurrentDecisionLevel() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00361">sat_solver.h:361</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acdbc8ad33149d45a6e6fcd8b72fd68ed"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acdbc8ad33149d45a6e6fcd8b72fd68ed">operations_research::sat::PositiveRef</a></div><div class="ttdeci">int PositiveRef(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00033">cp_model_utils.h:33</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html">operations_research::sat::LinearConstraint</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00039">linear_constraint.h:39</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a38766514ce4824ae1e093a25d7fb43b3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">operations_research::sat::NewBooleanVariable</a></div><div class="ttdeci">std::function< BooleanVariable(Model *)> NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01331">integer.h:1331</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a79dd91110f5d70b761738e261bc56ed4"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a79dd91110f5d70b761738e261bc56ed4">operations_research::sat::NewIntegerVariable</a></div><div class="ttdeci">std::function< IntegerVariable(Model *)> NewIntegerVariable(int64 lb, int64 ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01345">integer.h:1345</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">operations_research::sat::LinearConstraintBuilder</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00087">linear_constraint.h:87</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_aa0a8be7c97692d0b4fdb2f13ba303f36"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#aa0a8be7c97692d0b4fdb2f13ba303f36">operations_research::sat::IntegerEncoder::FullDomainEncoding</a></div><div class="ttdeci">std::vector< ValueLiteralPair > FullDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00121">integer.cc:121</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a69d42878d739b511b1abd4843592cdb3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a69d42878d739b511b1abd4843592cdb3">operations_research::sat::AppendMaxRelaxation</a></div><div class="ttdeci">void AppendMaxRelaxation(IntegerVariable target, const std::vector< IntegerVariable > &vars, int linearization_level, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00610">linear_relaxation.cc:610</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">operations_research::sat::SchedulingConstraintHelper</a></div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00137">intervals.h:137</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_a074fe196a1aaff1dd5fd73e0b3bb1f0e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a074fe196a1aaff1dd5fd73e0b3bb1f0e">operations_research::sat::IntegerEncoder::GetOrCreateLiteralAssociatedToEquality</a></div><div class="ttdeci">Literal GetOrCreateLiteralAssociatedToEquality(IntegerVariable var, IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00263">integer.cc:263</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a094a24aaf66d66b693e7e80a0222f040"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">operations_research::sat::LinearConstraintBuilder::AddLiteralTerm</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool AddLiteralTerm(Literal lit, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00052">linear_constraint.cc:52</a></div></div>
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<div class="ttc" id="anamespacegtl_html_a288a1dc92da5d3ad62d4bc4cec9e8b1d"><div class="ttname"><a href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a></div><div class="ttdeci">void STLSortAndRemoveDuplicates(T *v, const LessFunc &less_func)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00058">stl_util.h:58</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits< IntegerValue::ValueType >::max() - 1)</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5ec390fe1c25c7af4de7a30f84a0cd27"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">operations_research::sat::CanonicalizeExpr</a></div><div class="ttdeci">LinearExpression CanonicalizeExpr(const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00276">linear_constraint.cc:276</a></div></div>
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<div class="ttc" id="ainteger__expr_8h_html"><div class="ttname"><a href="integer__expr_8h.html">integer_expr.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html">operations_research::sat::LinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00172">linear_constraint.h:172</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a775efd540e54bd3be662ce7ee8894c1e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">operations_research::sat::NewIntegerVariableFromLiteral</a></div><div class="ttdeci">std::function< IntegerVariable(Model *)> NewIntegerVariableFromLiteral(Literal lit)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01363">integer.h:1363</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_relaxation_html_a787dea05b34122764c7fb5fd13e9a1c9"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">operations_research::sat::LinearRelaxation::linear_constraints</a></div><div class="ttdeci">std::vector< LinearConstraint > linear_constraints</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00029">linear_relaxation.h:29</a></div></div>
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<div class="ttc" id="alinear__relaxation_8h_html"><div class="ttname"><a href="linear__relaxation_8h.html">linear_relaxation.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a42a3b266d8c6dfab1c14baa6c04e2333"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">operations_research::sat::HasEnforcementLiteral</a></div><div class="ttdeci">bool HasEnforcementLiteral(const ConstraintProto &ct)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00037">cp_model_utils.h:37</a></div></div>
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<div class="ttc" id="aclassoperations__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>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_ad9b4a962b743e358f3a7c4b2279f99c8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#ad9b4a962b743e358f3a7c4b2279f99c8">operations_research::sat::SchedulingConstraintHelper::NumTasks</a></div><div class="ttdeci">int NumTasks() const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00157">intervals.h:157</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#l00042">demon_profiler.cc:42</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_a5753d4fb74f7ec5b437bfe17f89eed38"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#a5753d4fb74f7ec5b437bfe17f89eed38">operations_research::sat::SchedulingConstraintHelper::SizeVars</a></div><div class="ttdeci">const std::vector< IntegerVariable > & SizeVars() const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00263">intervals.h:263</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a14ed349a41e2b31bb1c15ea3c44a6bc0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">operations_research::sat::LinExprLowerBound</a></div><div class="ttdeci">IntegerValue LinExprLowerBound(const LinearExpression &expr, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00291">linear_constraint.cc:291</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ace76b216f012cbdf1443670080329f6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d">operations_research::sat::IsFixed</a></div><div class="ttdeci">std::function< bool(const Model &)> IsFixed(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01398">integer.h:1398</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#l00032">cp_model_utils.h:32</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5e73a3f1991b59b82c0305c56add5b2b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5e73a3f1991b59b82c0305c56add5b2b">operations_research::sat::NewInterval</a></div><div class="ttdeci">std::function< IntervalVariable(Model *)> NewInterval(int64 min_start, int64 max_end, int64 size)</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00569">intervals.h:569</a></div></div>
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<div class="ttc" id="agurobi__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#l00195">gurobi_interface.cc:195</a></div></div>
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<div class="ttc" id="aclassoperations__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#l00064">sat_base.h:64</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#l00034">cp_model_utils.h:34</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html_afdbd968230d01fa0e91bc15b6f5994e3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html#afdbd968230d01fa0e91bc15b6f5994e3">operations_research::sat::SchedulingConstraintHelper::SizeMin</a></div><div class="ttdeci">IntegerValue SizeMin(int t) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00356">intervals.h:356</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
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<div class="ttc" id="astl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
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<div class="ttc" id="aiterator__adaptors_8h_html"><div class="ttname"><a href="iterator__adaptors_8h.html">iterator_adaptors.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearExpression::coeffs</a></div><div class="ttdeci">std::vector< IntegerValue > coeffs</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00174">linear_constraint.h:174</a></div></div>
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<div class="ttc" id="aresource_8cc_html_a73461c37822b6ebb75b54ba1a9ffb442"><div class="ttname"><a href="resource_8cc.html#a73461c37822b6ebb75b54ba1a9ffb442">delta</a></div><div class="ttdeci">int64 delta</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l01684">resource.cc:1684</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a523501d854b2ca8034d37c15e7c89117"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">operations_research::sat::IntegerTrail::IsFixed</a></div><div class="ttdeci">bool IsFixed(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01236">integer.h:1236</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab8a2ed985fe84324a04b05b0368f50b0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab8a2ed985fe84324a04b05b0368f50b0">operations_research::sat::SpanOfIntervals</a></div><div class="ttdeci">std::function< void(Model *)> SpanOfIntervals(IntervalVariable span, const std::vector< IntervalVariable > &intervals)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__constraints_8cc_source.html#l00306">scheduling_constraints.cc:306</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cp_model_mapping_html_a39bcc12f6eb31e15986f6a824e9bae8c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a39bcc12f6eb31e15986f6a824e9bae8c">operations_research::sat::CpModelMapping::Intervals</a></div><div class="ttdeci">std::vector< IntervalVariable > Intervals(const ProtoIndices &indices) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__loader_8h_source.html#l00143">cp_model_loader.h:143</a></div></div>
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<div class="ttc" id="acp__model__loader_8h_html"><div class="ttname"><a href="cp__model__loader_8h.html">cp_model_loader.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearExpression::vars</a></div><div class="ttdeci">std::vector< IntegerVariable > vars</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00173">linear_constraint.h:173</a></div></div>
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<div class="ttc" id="aresource_8cc_html_af92a8383a05fdf586a52263d358f5ada"><div class="ttname"><a href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a></div><div class="ttdeci">IntervalVar * interval</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00098">resource.cc:98</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01228">integer.h:1228</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1d3cc11409a085647b7fb94b62a82ae5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1d3cc11409a085647b7fb94b62a82ae5">operations_research::sat::AppendLinearConstraintRelaxation</a></div><div class="ttdeci">void AppendLinearConstraintRelaxation(const ConstraintProto &constraint_proto, const int linearization_level, const Model &model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00781">linear_relaxation.cc:781</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aff14a4092356fceea657393b7b234b7f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f">operations_research::sat::AppendPartialGreaterThanEncodingRelaxation</a></div><div class="ttdeci">void AppendPartialGreaterThanEncodingRelaxation(IntegerVariable var, const Model &model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00185">linear_relaxation.cc:185</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearConstraint::coeffs</a></div><div class="ttdeci">std::vector< IntegerValue > coeffs</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00043">linear_constraint.h:43</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cp_model_mapping_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">operations_research::sat::CpModelMapping</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model__loader_8h_source.html#l00063">cp_model_loader.h:63</a></div></div>
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<div class="ttc" id="arouting__flow_8cc_html_ac891d9f514e55ec8ee1212757a147888"><div class="ttname"><a href="routing__flow_8cc.html#ac891d9f514e55ec8ee1212757a147888">head</a></div><div class="ttdeci">int64 head</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00128">routing_flow.cc:128</a></div></div>
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<div class="ttc" id="aoptimization_8cc_html_af63dcc00f2023fdf498e0829e6fb8a6b"><div class="ttname"><a href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a></div><div class="ttdeci">Literal literal</div><div class="ttdef"><b>Definition:</b> <a href="optimization_8cc_source.html#l00084">optimization.cc:84</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3460e93c00f161146120fa1d3afa6757"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3460e93c00f161146120fa1d3afa6757">operations_research::sat::NewOptionalInterval</a></div><div class="ttdeci">std::function< IntervalVariable(Model *)> NewOptionalInterval(int64 min_start, int64 max_end, int64 size, Literal is_present)</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00599">intervals.h:599</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">operations_research::sat::LinearConstraint::ub</a></div><div class="ttdeci">IntegerValue ub</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00041">linear_constraint.h:41</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a322657f18d11f256cf3e03b0bd640d5a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">operations_research::sat::LinearConstraintBuilder::AddConstant</a></div><div class="ttdeci">void AddConstant(IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00047">linear_constraint.cc:47</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4ae75bf9ab807bf21ce2caebb7321be0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4ae75bf9ab807bf21ce2caebb7321be0">operations_research::sat::FullyEncodeVariable</a></div><div class="ttdeci">std::function< std::vector< IntegerEncoder::ValueLiteralPair >Model *)> FullyEncodeVariable(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01506">integer.h:1506</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html">operations_research::sat::IntegerEncoder</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00267">integer.h:267</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a94739087f86f5e1b7679d5371d4d9f4b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a94739087f86f5e1b7679d5371d4d9f4b">operations_research::sat::TryToLinearizeConstraint</a></div><div class="ttdeci">void TryToLinearizeConstraint(const CpModelProto &model_proto, const ConstraintProto &ct, Model *model, int linearization_level, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00315">linear_relaxation.cc:315</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="alinear__programming__constraint_8h_html"><div class="ttname"><a href="linear__programming__constraint_8h.html">linear_programming_constraint.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_relaxation_html_a0bffb74eb458b339aa75f20b6c982a60"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">operations_research::sat::LinearRelaxation::at_most_ones</a></div><div class="ttdeci">std::vector< std::vector< Literal > > at_most_ones</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00030">linear_relaxation.h:30</a></div></div>
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<div class="ttc" id="anamespacegtl_html_aae28e97bd1fa93cb0032642550da7455"><div class="ttname"><a href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a></div><div class="ttdeci">bool ContainsKey(const Collection &collection, const Key &key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00170">map_util.h:170</a></div></div>
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