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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 id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &quot;<a class="code" href="linear__relaxation_8h.html">ortools/sat/linear_relaxation.h</a>&quot;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;limits&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;absl/base/attributes.h&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;absl/container/btree_map.h&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;absl/container/flat_hash_set.h&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &quot;<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>&quot;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &quot;<a class="code" href="circuit_8h.html">ortools/sat/circuit.h</a>&quot;</span> <span class="comment">// for ReindexArcs.</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &quot;<a class="code" href="clause_8h.html">ortools/sat/clause.h</a>&quot;</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &quot;ortools/sat/cp_model.pb.h&quot;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &quot;<a class="code" href="cp__model__mapping_8h.html">ortools/sat/cp_model_mapping.h</a>&quot;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include &quot;<a class="code" href="cp__model__utils_8h.html">ortools/sat/cp_model_utils.h</a>&quot;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &quot;<a class="code" href="cuts_8h.html">ortools/sat/cuts.h</a>&quot;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include &quot;<a class="code" href="implied__bounds_8h.html">ortools/sat/implied_bounds.h</a>&quot;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include &quot;<a class="code" href="integer__expr_8h.html">ortools/sat/integer_expr.h</a>&quot;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include &quot;<a class="code" href="intervals_8h.html">ortools/sat/intervals.h</a>&quot;</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>&quot;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include &quot;<a class="code" href="linear__programming__constraint_8h.html">ortools/sat/linear_programming_constraint.h</a>&quot;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>&quot;</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include &quot;ortools/sat/sat_parameters.pb.h&quot;</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include &quot;<a class="code" href="sat__solver_8h.html">ortools/sat/sat_solver.h</a>&quot;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="preprocessor">#include &quot;<a class="code" href="scheduling__constraints_8h.html">ortools/sat/scheduling_constraints.h</a>&quot;</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="preprocessor">#include &quot;<a class="code" href="scheduling__cuts_8h.html">ortools/sat/scheduling_cuts.h</a>&quot;</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="preprocessor">#include &quot;<a class="code" href="util_2logging_8h.html">ortools/util/logging.h</a>&quot;</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="preprocessor">#include &quot;<a class="code" href="saturated__arithmetic_8h.html">ortools/util/saturated_arithmetic.h</a>&quot;</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="preprocessor">#include &quot;<a class="code" href="strong__integers_8h.html">ortools/util/strong_integers.h</a>&quot;</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1d2e012cbcaa63d84ac6dd637d0e1238"> 53</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1d2e012cbcaa63d84ac6dd637d0e1238">AppendFullEncodingRelaxation</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">if</span> (encoder == <span class="keyword">nullptr</span>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (!encoder-&gt;VariableIsFullyEncoded(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; encoding = encoder-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">FullDomainEncoding</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">const</span> IntegerValue var_min = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3ad49ae9019c528851f6fd084479a567">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, var_min, var_min);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// Create the constraint if all literal have a view.</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> std::vector&lt;Literal&gt; at_most_one;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = value_literal.literal;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a> = value_literal.value - var_min;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_define" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(<a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>, IntegerValue(0));</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> at_most_one.push_back(lit);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">if</span> (!at_least_one.<a class="code hl_function" 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>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a> != IntegerValue(0)) {</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">if</span> (!encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, -<a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>}</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>std::pair&lt;IntegerValue, IntegerValue&gt; GetMinAndMaxNotEncoded(</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">const</span> absl::flat_hash_set&lt;IntegerValue&gt;&amp; encoded_values,</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">const</span> Model&amp; <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">const</span> <span class="keyword">auto</span>* domains = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;IntegerDomains&gt;();</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">if</span> (domains == <span class="keyword">nullptr</span> || <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> &gt;= domains-&gt;size()) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">return</span> {<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>};</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// The domain can be large, but the list of values shouldn&#39;t, so this</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// runs in O(encoded_values.size());</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> IntegerValue <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> int64_t v : (*domains)[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].Values()) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">if</span> (!encoded_values.contains(IntegerValue(v))) {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a> = IntegerValue(v);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> }</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> IntegerValue <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> int64_t v : (*domains)[<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)].Values()) {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">if</span> (!encoded_values.contains(IntegerValue(-v))) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> = IntegerValue(-v);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">return</span> {<a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a>, <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a>};</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>}</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="keywordtype">bool</span> LinMaxContainsOnlyOneVarInExpressions(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case(), ConstraintProto::ConstraintCase::kLinMax);</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordtype">int</span> current_var = -1;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> LinearExpressionProto&amp; expr : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs()) {</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordflow">if</span> (expr.vars().empty()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">if</span> (expr.vars().size() &gt; 1) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acdbc8ad33149d45a6e6fcd8b72fd68ed">PositiveRef</a>(expr.vars(0));</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">if</span> (current_var == -1) {</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> current_var = <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> != current_var) {</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> }</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>}</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span><span class="comment">// Collect all the affines expressions in a LinMax constraint.</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment">// It checks that these are indeed affine expressions, and that they all share</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="comment">// the same variable.</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span><span class="comment">// It returns the shared variable, as well as a vector of pairs</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span><span class="comment">// (coefficient, offset) when each affine is coefficient * shared_var + offset.</span></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="keywordtype">void</span> CollectAffineExpressionWithSingleVariable(</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, CpModelMapping* mapping, IntegerVariable* <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt;* affines) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(LinMaxContainsOnlyOneVarInExpressions(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>));</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case(), ConstraintProto::ConstraintCase::kLinMax);</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> *<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> affines-&gt;clear();</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> LinearExpressionProto&amp; expr : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs()) {</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordflow">if</span> (expr.vars().empty()) {</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> affines-&gt;push_back({IntegerValue(0), IntegerValue(expr.offset())});</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(expr.vars().size(), 1);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keyword">const</span> IntegerVariable affine_var = mapping-&gt;Integer(expr.vars(0));</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">if</span> (*<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> *<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(affine_var);</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> }</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(affine_var)) {</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(affine_var, *<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> affines-&gt;push_back(</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> {IntegerValue(expr.coeffs(0)), IntegerValue(expr.offset())});</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(affine_var), *<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> affines-&gt;push_back(</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> {IntegerValue(-expr.coeffs(0)), IntegerValue(expr.offset())});</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> }</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> }</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span>}</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad8ea8c0f170334873faaa68785e3c636"> 171</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad8ea8c0f170334873faaa68785e3c636">AppendRelaxationForEqualityEncoding</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation,</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">int</span>* num_tight, <span class="keywordtype">int</span>* num_loose) {</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">const</span> <span class="keyword">auto</span>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</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>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> std::vector&lt;Literal&gt; at_most_one_ct;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> absl::flat_hash_set&lt;IntegerValue&gt; encoded_values;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> std::vector&lt;ValueLiteralPair&gt; encoding;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> {</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keyword">const</span> std::vector&lt;ValueLiteralPair&gt;&amp; initial_encoding =</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> encoder-&gt;PartialDomainEncoding(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordflow">if</span> (initial_encoding.empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : initial_encoding) {</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> = value_literal.literal;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// Note that we skip pairs that do not have an Integer view.</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordflow">if</span> (encoder-&gt;GetLiteralView(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>) == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> &amp;&amp;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> encoder-&gt;GetLiteralView(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()) == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> }</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> encoding.push_back(value_literal);</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> at_most_one_ct.push_back(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>);</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> encoded_values.insert(value_literal.value);</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> }</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> }</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordflow">if</span> (encoded_values.empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// TODO(user): PartialDomainEncoding() filter pair corresponding to literal</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// set to false, however the initial variable Domain is not always updated. As</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// a result, these min/max can be larger than in reality. Try to fix this even</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// if in practice this is a rare occurence, as the presolve should have</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// propagated most of what we can.</span></div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keyword">const</span> <span class="keyword">auto</span> [min_not_encoded, max_not_encoded] =</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> GetMinAndMaxNotEncoded(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, encoded_values, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// This means that there are no non-encoded value and we have a full encoding.</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// We substract the minimum value to reduce its size.</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordflow">if</span> (min_not_encoded == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">const</span> IntegerValue rhs = encoding[0].value;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs, rhs);</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = value_literal.literal;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(at_least_one.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a> = value_literal.value - rhs;</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a> != IntegerValue(0)) {</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(<a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>, IntegerValue(0));</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, -<a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>));</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> }</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> }</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one_ct);</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> ++*num_tight;</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// In this special case, the two constraints below can be merged into an</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="comment">// equality: var = rhs + sum l_i * (value_i - rhs).</span></div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">if</span> (min_not_encoded == max_not_encoded) {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keyword">const</span> IntegerValue rhs = min_not_encoded;</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs, rhs);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> rhs - value_literal.value));</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> }</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one_ct);</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> ++*num_tight;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> }</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> </div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="comment">// min + sum l_i * (value_i - min) &lt;= var.</span></div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">const</span> IntegerValue d_min = min_not_encoded;</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lower_bound_ct(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, d_min, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> lower_bound_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lower_bound_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> d_min - value_literal.value));</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> }</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="comment">// var &lt;= max + sum l_i * (value_i - max).</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keyword">const</span> IntegerValue d_max = max_not_encoded;</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> upper_bound_ct(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, d_max);</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> upper_bound_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(upper_bound_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> d_max - value_literal.value));</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> }</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// Note that empty/trivial constraints will be filtered later.</span></div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one_ct);</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lower_bound_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(upper_bound_ct.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> ++*num_loose;</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span>}</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f"> 277</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f">AppendPartialGreaterThanEncodingRelaxation</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keyword">const</span> <span class="keyword">auto</span>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</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>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keyword">const</span> absl::btree_map&lt;IntegerValue, Literal&gt;&amp; greater_than_encoding =</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> encoder-&gt;PartialGreaterThanEncoding(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="keywordflow">if</span> (greater_than_encoding.empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="comment">// Start by the var &gt;= side.</span></div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="comment">// And also add the implications between used literals.</span></div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> {</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> IntegerValue prev_used_bound = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lb_constraint(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, prev_used_bound,</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> lb_constraint.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> LiteralIndex prev_literal_index = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>;</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : greater_than_encoding) {</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">if</span> (entry.first &lt;= prev_used_bound) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keyword">const</span> LiteralIndex literal_index = entry.second.Index();</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keyword">const</span> IntegerValue diff = prev_used_bound - entry.first;</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> </div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// Skip the entry if the literal doesn&#39;t have a view.</span></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">if</span> (!lb_constraint.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(entry.second, diff)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">if</span> (prev_literal_index != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>) {</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="comment">// Add var &lt;= prev_var, which is the same as var + not(prev_var) &lt;= 1</span></div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> {<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(literal_index), <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(prev_literal_index).<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()});</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> }</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> prev_used_bound = entry.first;</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> prev_literal_index = literal_index;</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> }</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lb_constraint.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="comment">// Do the same for the var &lt;= side by using NegationOfVar().</span></div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="comment">// Note that we do not need to add the implications between literals again.</span></div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> {</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> IntegerValue prev_used_bound = integer_trail-&gt;LowerBound(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lb_constraint(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, prev_used_bound,</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> lb_constraint.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(-1));</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry :</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> encoder-&gt;PartialGreaterThanEncoding(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))) {</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordflow">if</span> (entry.first &lt;= prev_used_bound) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keyword">const</span> IntegerValue diff = prev_used_bound - entry.first;</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="comment">// Skip the entry if the literal doesn&#39;t have a view.</span></div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordflow">if</span> (!lb_constraint.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(entry.second, diff)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> prev_used_bound = entry.first;</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> }</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lb_constraint.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> }</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span>}</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> </div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span><span class="comment">// Adds enforcing_lit =&gt; target &lt;= bounding_var to relaxation.</span></div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span><span class="keywordtype">void</span> AppendEnforcedUpperBound(<span class="keyword">const</span> Literal enforcing_lit,</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="keyword">const</span> IntegerVariable target,</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keyword">const</span> IntegerVariable bounding_var, Model* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> LinearRelaxation* relaxation) {</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> IntegerTrail* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;IntegerTrail&gt;();</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="keyword">const</span> IntegerValue max_target_value = integer_trail-&gt;UpperBound(target);</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="keyword">const</span> IntegerValue min_var_value = integer_trail-&gt;LowerBound(bounding_var);</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="keyword">const</span> IntegerValue max_term_value = max_target_value - min_var_value;</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> LinearConstraintBuilder lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, max_term_value);</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> lc.AddTerm(target, IntegerValue(1));</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> lc.AddTerm(bounding_var, IntegerValue(-1));</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(enforcing_lit, max_term_value));</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> relaxation-&gt;linear_constraints.push_back(lc.Build());</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span>}</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span><span class="comment">// Adds {enforcing_lits} =&gt; rhs_domain_min &lt;= expr &lt;= rhs_domain_max.</span></div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span><span class="comment">// Requires expr offset to be 0.</span></div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span><span class="keywordtype">void</span> AppendEnforcedLinearExpression(</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcing_literals,</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <span class="keyword">const</span> LinearExpression&amp; expr, <span class="keyword">const</span> IntegerValue rhs_domain_min,</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="keyword">const</span> IntegerValue rhs_domain_max, <span class="keyword">const</span> Model&amp; <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> LinearRelaxation* relaxation) {</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(expr.offset, IntegerValue(0));</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="keyword">const</span> LinearExpression canonical_expr = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">CanonicalizeExpr</a>(expr);</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="keyword">const</span> IntegerTrail* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;IntegerTrail&gt;();</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keyword">const</span> IntegerValue min_expr_value =</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(canonical_expr, *integer_trail);</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> </div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <span class="keywordflow">if</span> (rhs_domain_min &gt; min_expr_value) {</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="comment">// And(ei) =&gt; terms &gt;= rhs_domain_min</span></div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="comment">// &lt;=&gt; Sum_i (~ei * (rhs_domain_min - min_expr_value)) + terms &gt;=</span></div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="comment">// rhs_domain_min</span></div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> LinearConstraintBuilder lc(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs_domain_min, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal&amp; <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcing_literals) {</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(),</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> rhs_domain_min - min_expr_value));</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> }</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; canonical_expr.vars.size(); i++) {</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> lc.AddTerm(canonical_expr.vars[i], canonical_expr.coeffs[i]);</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> }</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> relaxation-&gt;linear_constraints.push_back(lc.Build());</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> }</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="keyword">const</span> IntegerValue max_expr_value =</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(canonical_expr, *integer_trail);</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="keywordflow">if</span> (rhs_domain_max &lt; max_expr_value) {</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="comment">// And(ei) =&gt; terms &lt;= rhs_domain_max</span></div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="comment">// &lt;=&gt; Sum_i (~ei * (rhs_domain_max - max_expr_value)) + terms &lt;=</span></div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="comment">// rhs_domain_max</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> LinearConstraintBuilder lc(&amp;<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, rhs_domain_max);</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal&amp; <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcing_literals) {</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(),</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> rhs_domain_max - max_expr_value));</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> }</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; canonical_expr.vars.size(); i++) {</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> lc.AddTerm(canonical_expr.vars[i], canonical_expr.coeffs[i]);</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> relaxation-&gt;linear_constraints.push_back(lc.Build());</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> }</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span>}</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> </div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span><span class="keywordtype">bool</span> AllLiteralsHaveViews(<span class="keyword">const</span> IntegerEncoder&amp; encoder,</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals) {</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal lit : literals) {</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keywordflow">if</span> (!encoder.LiteralOrNegationHasView(lit)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> }</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span>}</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> </div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66"> 407</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66">AppendBoolOrRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(mapping-&gt;Literal(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(enforcement_ref)),</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> IntegerValue(1)));</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> }</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_or().literals()) {</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(mapping-&gt;Literal(ref), IntegerValue(1)));</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> }</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.Build());</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span>}</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> </div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0"> 421</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0">AppendBoolAndRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> <span class="comment">// TODO(user): These constraints can be many, and if they are not regrouped</span></div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="comment">// in big at most ones, then they should probably only added lazily as cuts.</span></div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="comment">// Regroup this with future clique-cut separation logic.</span></div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal().size() == 1) {</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> enforcement = mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal(0));</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals()) {</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> {enforcement, mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(ref).Negated()});</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> }</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> }</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> </div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> <span class="comment">// Andi(e_i) =&gt; Andj(x_j)</span></div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> <span class="comment">// &lt;=&gt; num_rhs_terms &lt;= Sum_j(x_j) + num_rhs_terms * Sum_i(~e_i)</span></div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="keywordtype">int</span> num_literals = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals_size();</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(num_literals),</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals()) {</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping-&gt;Literal(ref), IntegerValue(1)));</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> }</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping-&gt;Literal(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(enforcement_ref)),</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> IntegerValue(num_literals)));</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> }</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span>}</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> </div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b"> 453</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b">AppendAtMostOneRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> </div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> mapping-&gt;Literals(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.at_most_one().literals()));</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span>}</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> </div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1"> 462</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1">AppendExactlyOneRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> <span class="keyword">const</span> std::vector&lt;Literal&gt; literals =</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> mapping-&gt;Literals(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.exactly_one().literals());</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> <span class="keywordflow">if</span> (AllLiteralsHaveViews(*encoder, literals)) {</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), IntegerValue(1));</div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit : literals) {</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> }</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> <span class="comment">// We just encode the at most one part that might be partially linearized</span></div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> <span class="comment">// later.</span></div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(literals);</div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> }</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span>}</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> </div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6"> 483</a></span>std::vector&lt;Literal&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6">CreateAlternativeLiteralsWithView</a>(</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> <span class="keywordtype">int</span> num_literals, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> </div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> <span class="keywordflow">if</span> (num_literals == 1) {</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="comment">// This is not supposed to happen, but it is easy enough to cover, just</span></div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="comment">// in case. We might however want to use encoder-&gt;GetTrueLiteral().</span></div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">NewIntegerVariable</a>(1, 1));</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit =</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> encoder-&gt;GetOrCreateLiteralAssociatedToEquality(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> <span class="keywordflow">return</span> {lit};</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> }</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> </div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> <span class="keywordflow">if</span> (num_literals == 2) {</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">NewIntegerVariable</a>(0, 1));</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit =</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> encoder-&gt;GetOrCreateLiteralAssociatedToEquality(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> </div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> <span class="comment">// TODO(user): We shouldn&#39;t need to create this view ideally. Even better,</span></div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> <span class="comment">// we should be able to handle Literal natively in the linear relaxation,</span></div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> <span class="comment">// but that is a lot of work.</span></div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <span class="keyword">const</span> IntegerVariable var2 = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">NewIntegerVariable</a>(0, 1));</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> encoder-&gt;AssociateToIntegerEqualValue(lit.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(), var2, IntegerValue(1));</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> </div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> <span class="keywordflow">return</span> {lit, lit.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()};</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> }</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> </div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> std::vector&lt;Literal&gt; literals;</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc_builder(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), IntegerValue(1));</div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_literals; ++i) {</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">NewIntegerVariable</a>(0, 1));</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit =</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> encoder-&gt;GetOrCreateLiteralAssociatedToEquality(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> literals.push_back(lit);</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc_builder.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> }</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#accfda9e32067da0a88da8e325cf39c7c">ExactlyOneConstraint</a>(literals));</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc_builder.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> <span class="keywordflow">return</span> literals;</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span>}</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> </div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5"> 524</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5">AppendCircuitRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_arcs = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals_size();</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails_size());</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads_size());</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> </div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> <span class="comment">// Each node must have exactly one incoming and one outgoing arc (note</span></div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="comment">// that it can be the unique self-arc of this node too).</span></div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> absl::btree_map&lt;int, std::vector&lt;Literal&gt;&gt; incoming_arc_constraints;</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> absl::btree_map&lt;int, std::vector&lt;Literal&gt;&gt; outgoing_arc_constraints;</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_arcs; i++) {</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> = mapping-&gt;Literal(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals(i));</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails(i);</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads(i);</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> </div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> <span class="comment">// Make sure this literal has a view.</span></div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a050c9f843d5f82c4cf6e958a4062e5a7">NewIntegerVariableFromLiteral</a>(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>));</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> outgoing_arc_constraints[<a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>].push_back(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>);</div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> incoming_arc_constraints[<a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>].push_back(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>);</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> }</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>* node_map :</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> {&amp;outgoing_arc_constraints, &amp;incoming_arc_constraints}) {</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; entry : *node_map) {</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; exactly_one = entry.second;</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <span class="keywordflow">if</span> (exactly_one.size() &gt; 1) {</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one_lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : exactly_one) {</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(at_least_one_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(l, IntegerValue(1)));</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> }</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> <span class="comment">// We separate the two constraints.</span></div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(exactly_one);</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> }</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> }</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> }</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span>}</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234"> 565</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234">AppendRoutesRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_arcs = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().literals_size();</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails_size());</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads_size());</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> </div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> <span class="comment">// Each node except node zero must have exactly one incoming and one outgoing</span></div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> <span class="comment">// arc (note that it can be the unique self-arc of this node too). For node</span></div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> <span class="comment">// zero, the number of incoming arcs should be the same as the number of</span></div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> <span class="comment">// outgoing arcs.</span></div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> absl::btree_map&lt;int, std::vector&lt;Literal&gt;&gt; incoming_arc_constraints;</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> absl::btree_map&lt;int, std::vector&lt;Literal&gt;&gt; outgoing_arc_constraints;</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_arcs; i++) {</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> = mapping-&gt;Literal(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().literals(i));</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails(i);</div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads(i);</div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> </div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="comment">// Make sure this literal has a view.</span></div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a050c9f843d5f82c4cf6e958a4062e5a7">NewIntegerVariableFromLiteral</a>(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>));</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> outgoing_arc_constraints[<a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>].push_back(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>);</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> incoming_arc_constraints[<a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>].push_back(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>);</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> }</div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>* node_map :</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> {&amp;outgoing_arc_constraints, &amp;incoming_arc_constraints}) {</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; entry : *node_map) {</div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <span class="keywordflow">if</span> (entry.first == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; exactly_one = entry.second;</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> <span class="keywordflow">if</span> (exactly_one.size() &gt; 1) {</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one_lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : exactly_one) {</div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(at_least_one_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(l, IntegerValue(1)));</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> }</div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> </div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="comment">// We separate the two constraints.</span></div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(exactly_one);</div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> }</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> }</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> }</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> zero_node_balance_lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0),</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> IntegerValue(0));</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>&amp; incoming_arc : incoming_arc_constraints[0]) {</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(zero_node_balance_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(incoming_arc, IntegerValue(1)));</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> }</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>&amp; outgoing_arc : outgoing_arc_constraints[0]) {</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(zero_node_balance_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(outgoing_arc, IntegerValue(-1)));</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> }</div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(zero_node_balance_lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span>}</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2fb5c8becc9eccba39bc8aab4fb4d80e"> 618</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2fb5c8becc9eccba39bc8aab4fb4d80e">AddCumulativeRelaxation</a>(<span class="keyword">const</span> std::vector&lt;IntervalVariable&gt;&amp; intervals,</div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <span class="keyword">const</span> std::vector&lt;AffineExpression&gt;&amp; demands,</div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; energies,</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> IntegerValue capacity_upper_bound, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="comment">// TODO(user): Keep a map intervals -&gt; helper, or ct_index-&gt;helper to avoid</span></div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span> <span class="comment">// creating many helpers for the same constraint.</span></div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> <span class="keyword">auto</span>* helper = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">SchedulingConstraintHelper</a>(intervals, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(helper);</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_intervals = helper-&gt;NumTasks();</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> </div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> </div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> IntegerValue min_of_starts = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> IntegerValue max_of_ends = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>;</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> </div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> <span class="keywordtype">int</span> num_variable_sizes = 0;</div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> <span class="keywordtype">int</span> num_optionals = 0;</div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> </div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = 0; <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &lt; num_intervals; ++<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) {</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> min_of_starts = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(min_of_starts, helper-&gt;StartMin(<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> max_of_ends = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(max_of_ends, helper-&gt;EndMax(<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> </div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> <span class="keywordflow">if</span> (helper-&gt;IsOptional(<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>)) {</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> num_optionals++;</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> }</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> </div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <span class="keywordflow">if</span> (!helper-&gt;SizeIsFixed(<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) ||</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> (!demands.empty() &amp;&amp; !integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]))) {</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> num_variable_sizes++;</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> }</div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> }</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> </div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;Span [&quot;</span> &lt;&lt; min_of_starts &lt;&lt; <span class="stringliteral">&quot;..&quot;</span> &lt;&lt; max_of_ends &lt;&lt; <span class="stringliteral">&quot;] with &quot;</span></div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> &lt;&lt; num_optionals &lt;&lt; <span class="stringliteral">&quot; optional intervals, and &quot;</span> &lt;&lt; num_variable_sizes</div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> &lt;&lt; <span class="stringliteral">&quot; variable size intervals out of &quot;</span> &lt;&lt; num_intervals</div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> &lt;&lt; <span class="stringliteral">&quot; intervals&quot;</span>;</div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> </div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> <span class="keywordflow">if</span> (num_variable_sizes + num_optionals == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> </div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> <span class="keyword">const</span> IntegerVariable span_start =</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_of_starts, max_of_ends);</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> <span class="keyword">const</span> IntegerVariable span_size = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> IntegerValue(0), max_of_ends - min_of_starts);</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> <span class="keyword">const</span> IntegerVariable span_end =</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_of_starts, max_of_ends);</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> </div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> IntervalVariable span_var;</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> <span class="keywordflow">if</span> (num_optionals &lt; num_intervals) {</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> span_var = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a507bc1fac620b6d08f573ae738141bd9">NewInterval</a>(span_start, span_end, span_size));</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> span_lit = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> span_var = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7ca9c8d3f9284a57a274895d29add611">NewOptionalInterval</a>(span_start, span_end, span_size, span_lit));</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> }</div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> </div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab8a2ed985fe84324a04b05b0368f50b0">SpanOfIntervals</a>(span_var, intervals));</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> </div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, IntegerValue(0));</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(span_size, -capacity_upper_bound);</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_intervals; ++i) {</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> <span class="keyword">const</span> IntegerValue demand_lower_bound =</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> demands.empty() ? IntegerValue(1)</div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> : integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(demands[i]);</div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> demand_is_fixed =</div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span> demands.empty() || integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[i]);</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> <span class="keywordflow">if</span> (!helper-&gt;IsOptional(i)) {</div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> <span class="keywordflow">if</span> (demand_is_fixed) {</div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(helper-&gt;Sizes()[i], demand_lower_bound);</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!helper-&gt;SizeIsFixed(i) &amp;&amp;</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> (!energies[i].vars.empty() || energies[i].offset != -1)) {</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="comment">// We prefer the energy additional info instead of the McCormick</span></div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="comment">// relaxation.</span></div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(energies[i]);</div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5">AddQuadraticLowerBound</a>(helper-&gt;Sizes()[i], demands[i],</div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> integer_trail);</div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> }</div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> <span class="keywordflow">if</span> (!lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(helper-&gt;PresenceLiteral(i),</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> helper-&gt;SizeMin(i) * demand_lower_bound)) {</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> }</div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> }</div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> }</div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span>}</div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> </div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6"> 706</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6">AppendCumulativeRelaxation</a>(<span class="keyword">const</span> CpModelProto&amp; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_cumulative());</div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> </div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> std::vector&lt;IntervalVariable&gt; intervals =</div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">Intervals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().intervals());</div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> <span class="keyword">const</span> IntegerValue capacity_upper_bound =</div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a9e815eb2193f1bb6903274c7f0859cd7">UpperBound</a>(</div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().capacity()));</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> </div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> <span class="comment">// Scan energies.</span></div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>* intervals_repository =</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>&gt;();</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> </div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> std::vector&lt;LinearExpression&gt; energies;</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> std::vector&lt;AffineExpression&gt; demands;</div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> std::vector&lt;AffineExpression&gt; sizes;</div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().demands_size(); ++i) {</div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> demands.push_back(mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().demands(i)));</div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> sizes.push_back(intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa57420b719d949fc4e8fec48c0c41dcc">Size</a>(intervals[i]));</div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> }</div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a47064139cec9b2ea520361ee30f0f243">LinearizeInnerProduct</a>(demands, sizes, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, &amp;energies);</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2fb5c8becc9eccba39bc8aab4fb4d80e">AddCumulativeRelaxation</a>(intervals, demands, energies, capacity_upper_bound,</div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span>}</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> </div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa"> 735</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa">AppendNoOverlapRelaxation</a>(<span class="keyword">const</span> CpModelProto&amp; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> <span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_no_overlap());</div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> </div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> std::vector&lt;IntervalVariable&gt; intervals =</div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">Intervals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap().intervals());</div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2fb5c8becc9eccba39bc8aab4fb4d80e">AddCumulativeRelaxation</a>(intervals, <span class="comment">/*demands=*/</span>{}, <span class="comment">/*energies=*/</span>{},</div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> <span class="comment">/*capacity_upper_bound=*/</span>IntegerValue(1), <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> relaxation);</div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span>}</div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> </div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span><span class="comment">// Adds the energetic relaxation sum(areas) &lt;= bounding box area.</span></div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acdadae230cef47ac321c22a5a880a85f"> 750</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acdadae230cef47ac321c22a5a880a85f">AppendNoOverlap2dRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_no_overlap_2d());</div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> </div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> std::vector&lt;IntervalVariable&gt; x_intervals =</div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">Intervals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().x_intervals());</div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> std::vector&lt;IntervalVariable&gt; y_intervals =</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> mapping-&gt;Intervals(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().y_intervals());</div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> </div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> <span class="keyword">auto</span>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> <span class="keyword">auto</span>* intervals_repository = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>&gt;();</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> </div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> IntegerValue x_min = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> IntegerValue x_max = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>;</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> IntegerValue y_min = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> IntegerValue y_max = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>;</div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> std::vector&lt;AffineExpression&gt; x_sizes;</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> std::vector&lt;AffineExpression&gt; y_sizes;</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().x_intervals_size(); ++i) {</div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> x_sizes.push_back(intervals_repository-&gt;Size(x_intervals[i]));</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> y_sizes.push_back(intervals_repository-&gt;Size(y_intervals[i]));</div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> x_min = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(x_min, integer_trail-&gt;LevelZeroLowerBound(</div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> intervals_repository-&gt;Start(x_intervals[i])));</div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> x_max = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(x_max, integer_trail-&gt;LevelZeroUpperBound(</div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> intervals_repository-&gt;End(x_intervals[i])));</div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> y_min = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(y_min, integer_trail-&gt;LevelZeroLowerBound(</div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> intervals_repository-&gt;Start(y_intervals[i])));</div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> y_max = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(y_max, integer_trail-&gt;LevelZeroUpperBound(</div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> intervals_repository-&gt;End(y_intervals[i])));</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> }</div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> </div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> <span class="keyword">const</span> IntegerValue max_area =</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> IntegerValue(<a class="code hl_function" href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">CapProd</a>(<a class="code hl_function" href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">CapSub</a>(x_max.value(), x_min.value()),</div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> <a class="code hl_function" href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">CapSub</a>(y_max.value(), y_min.value())));</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> <span class="keywordflow">if</span> (max_area == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> </div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0), max_area);</div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().x_intervals_size(); ++i) {</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> <span class="keywordflow">if</span> (intervals_repository-&gt;IsPresent(x_intervals[i]) &amp;&amp;</div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> intervals_repository-&gt;IsPresent(y_intervals[i])) {</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> linear_energy(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8d19e8d5e074feb1e673e585b3a04266">DetectLinearEncodingOfProducts</a>(x_sizes[i], y_sizes[i], <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> &amp;linear_energy)) {</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(linear_energy.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a96ececaa94026aaa3a46fb65df0a17a9">BuildExpression</a>());</div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5">AddQuadraticLowerBound</a>(x_sizes[i], y_sizes[i], integer_trail);</div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> }</div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (intervals_repository-&gt;IsPresent(x_intervals[i]) ||</div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> intervals_repository-&gt;IsPresent(y_intervals[i]) ||</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> (intervals_repository-&gt;PresenceLiteral(x_intervals[i]) ==</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span> intervals_repository-&gt;PresenceLiteral(y_intervals[i]))) {</div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> <span class="comment">// We have only one active literal.</span></div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> presence_literal =</div>
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span> intervals_repository-&gt;IsPresent(x_intervals[i])</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span> ? intervals_repository-&gt;PresenceLiteral(y_intervals[i])</div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> : intervals_repository-&gt;PresenceLiteral(x_intervals[i]);</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> <span class="keyword">const</span> IntegerValue area_min =</div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x_sizes[i]) *</div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> integer_trail-&gt;LevelZeroLowerBound(y_sizes[i]);</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> <span class="keywordflow">if</span> (area_min != 0) {</div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> <span class="comment">// Not including the term if we don&#39;t have a view is ok.</span></div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> (void)lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(presence_literal, area_min);</div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> }</div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> }</div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> }</div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span>}</div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> </div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f"> 820</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f">AppendLinMaxRelaxationPart1</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span> </div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span> <span class="comment">// We want to linearize target = max(exprs[1], exprs[2], ..., exprs[d]).</span></div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> <span class="comment">// Part 1: Encode target &gt;= max(exprs[1], exprs[2], ..., exprs[d])</span></div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> negated_target =</div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(mapping-&gt;GetExprFromProto(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target()));</div>
<div class="line"><a id="l00828" name="l00828"></a><span class="lineno"> 828</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs_size(); ++i) {</div>
<div class="line"><a id="l00829" name="l00829"></a><span class="lineno"> 829</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr =</div>
<div class="line"><a id="l00830" name="l00830"></a><span class="lineno"> 830</span> mapping-&gt;GetExprFromProto(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs(i));</div>
<div class="line"><a id="l00831" name="l00831"></a><span class="lineno"> 831</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, IntegerValue(0));</div>
<div class="line"><a id="l00832" name="l00832"></a><span class="lineno"> 832</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(negated_target);</div>
<div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(expr);</div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"> 834</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span> }</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span>}</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span> </div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span><span class="comment">// TODO(user): experiment with:</span></div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span><span class="comment">// 1) remove this code</span></div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span><span class="comment">// 2) keep this code</span></div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span><span class="comment">// 3) remove this code and create the cut generator at level 1.</span></div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e"> 842</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e">AppendMaxAffineRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00844" name="l00844"></a><span class="lineno"> 844</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
<div class="line"><a id="l00845" name="l00845"></a><span class="lineno"> 845</span> std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt; affines;</div>
<div class="line"><a id="l00846" name="l00846"></a><span class="lineno"> 846</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00847" name="l00847"></a><span class="lineno"> 847</span> CollectAffineExpressionWithSingleVariable(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, mapping, &amp;<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, &amp;affines);</div>
<div class="line"><a id="l00848" name="l00848"></a><span class="lineno"> 848</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> ||</div>
<div class="line"><a id="l00849" name="l00849"></a><span class="lineno"> 849</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00850" name="l00850"></a><span class="lineno"> 850</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00851" name="l00851"></a><span class="lineno"> 851</span> }</div>
<div class="line"><a id="l00852" name="l00852"></a><span class="lineno"> 852</span> </div>
<div class="line"><a id="l00853" name="l00853"></a><span class="lineno"> 853</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00854" name="l00854"></a><span class="lineno"> 854</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> target_expr =</div>
<div class="line"><a id="l00855" name="l00855"></a><span class="lineno"> 855</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(mapping-&gt;GetExprFromProto(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target()));</div>
<div class="line"><a id="l00856" name="l00856"></a><span class="lineno"> 856</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(</div>
<div class="line"><a id="l00857" name="l00857"></a><span class="lineno"> 857</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a88fabb0f851ff07d459b8be401162601">BuildMaxAffineUpConstraint</a>(target_expr, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, affines, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>));</div>
<div class="line"><a id="l00858" name="l00858"></a><span class="lineno"> 858</span>}</div>
<div class="line"><a id="l00859" name="l00859"></a><span class="lineno"> 859</span> </div>
<div class="line"><a id="l00860" name="l00860"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929"> 860</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929">AddMaxAffineCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00861" name="l00861"></a><span class="lineno"> 861</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00862" name="l00862"></a><span class="lineno"> 862</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
<div class="line"><a id="l00863" name="l00863"></a><span class="lineno"> 863</span> std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt; affines;</div>
<div class="line"><a id="l00864" name="l00864"></a><span class="lineno"> 864</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00865" name="l00865"></a><span class="lineno"> 865</span> CollectAffineExpressionWithSingleVariable(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, mapping, &amp;<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, &amp;affines);</div>
<div class="line"><a id="l00866" name="l00866"></a><span class="lineno"> 866</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> ||</div>
<div class="line"><a id="l00867" name="l00867"></a><span class="lineno"> 867</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00868" name="l00868"></a><span class="lineno"> 868</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00869" name="l00869"></a><span class="lineno"> 869</span> }</div>
<div class="line"><a id="l00870" name="l00870"></a><span class="lineno"> 870</span> </div>
<div class="line"><a id="l00871" name="l00871"></a><span class="lineno"> 871</span> <span class="comment">// If the target is constant, propagation is enough.</span></div>
<div class="line"><a id="l00872" name="l00872"></a><span class="lineno"> 872</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().vars().empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00873" name="l00873"></a><span class="lineno"> 873</span> </div>
<div class="line"><a id="l00874" name="l00874"></a><span class="lineno"> 874</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> target_expr =</div>
<div class="line"><a id="l00875" name="l00875"></a><span class="lineno"> 875</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(mapping-&gt;GetExprFromProto(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target()));</div>
<div class="line"><a id="l00876" name="l00876"></a><span class="lineno"> 876</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab782d6f91aefca5ee81c3b622e862875">CreateMaxAffineCutGenerator</a>(</div>
<div class="line"><a id="l00877" name="l00877"></a><span class="lineno"> 877</span> target_expr, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, affines, <span class="stringliteral">&quot;AffineMax&quot;</span>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>));</div>
<div class="line"><a id="l00878" name="l00878"></a><span class="lineno"> 878</span>}</div>
<div class="line"><a id="l00879" name="l00879"></a><span class="lineno"> 879</span> </div>
<div class="line"><a id="l00880" name="l00880"></a><span class="lineno"> 880</span><span class="comment">// Part 2: Encode upper bound on X.</span></div>
<div class="line"><a id="l00881" name="l00881"></a><span class="lineno"> 881</span><span class="comment">//</span></div>
<div class="line"><a id="l00882" name="l00882"></a><span class="lineno"> 882</span><span class="comment">// Add linking constraint to the CP solver</span></div>
<div class="line"><a id="l00883" name="l00883"></a><span class="lineno"> 883</span><span class="comment">// sum zi = 1 and for all i, zi =&gt; max = expr_i.</span></div>
<div class="line"><a id="l00884" name="l00884"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3"> 884</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3">AppendLinMaxRelaxationPart2</a>(</div>
<div class="line"><a id="l00885" name="l00885"></a><span class="lineno"> 885</span> IntegerVariable target, <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; alternative_literals,</div>
<div class="line"><a id="l00886" name="l00886"></a><span class="lineno"> 886</span> <span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; exprs, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00887" name="l00887"></a><span class="lineno"> 887</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00888" name="l00888"></a><span class="lineno"> 888</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_exprs = exprs.size();</div>
<div class="line"><a id="l00889" name="l00889"></a><span class="lineno"> 889</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;();</div>
<div class="line"><a id="l00890" name="l00890"></a><span class="lineno"> 890</span> </div>
<div class="line"><a id="l00891" name="l00891"></a><span class="lineno"> 891</span> <span class="comment">// First add the CP constraints.</span></div>
<div class="line"><a id="l00892" name="l00892"></a><span class="lineno"> 892</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div>
<div class="line"><a id="l00893" name="l00893"></a><span class="lineno"> 893</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> local_expr;</div>
<div class="line"><a id="l00894" name="l00894"></a><span class="lineno"> 894</span> local_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(exprs[i].vars);</div>
<div class="line"><a id="l00895" name="l00895"></a><span class="lineno"> 895</span> local_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(target);</div>
<div class="line"><a id="l00896" name="l00896"></a><span class="lineno"> 896</span> local_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = exprs[i].coeffs;</div>
<div class="line"><a id="l00897" name="l00897"></a><span class="lineno"> 897</span> local_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(1));</div>
<div class="line"><a id="l00898" name="l00898"></a><span class="lineno"> 898</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> =</div>
<div class="line"><a id="l00899" name="l00899"></a><span class="lineno"> 899</span> <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>({alternative_literals[i]}, local_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>,</div>
<div class="line"><a id="l00900" name="l00900"></a><span class="lineno"> 900</span> local_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>, exprs[i].offset, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00901" name="l00901"></a><span class="lineno"> 901</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>-&gt;RegisterWith(watcher);</div>
<div class="line"><a id="l00902" name="l00902"></a><span class="lineno"> 902</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div>
<div class="line"><a id="l00903" name="l00903"></a><span class="lineno"> 903</span> }</div>
<div class="line"><a id="l00904" name="l00904"></a><span class="lineno"> 904</span> </div>
<div class="line"><a id="l00905" name="l00905"></a><span class="lineno"> 905</span> <span class="comment">// For the relaxation, we use different constraints with a stronger linear</span></div>
<div class="line"><a id="l00906" name="l00906"></a><span class="lineno"> 906</span> <span class="comment">// relaxation as explained in the .h</span></div>
<div class="line"><a id="l00907" name="l00907"></a><span class="lineno"> 907</span> <span class="comment">//</span></div>
<div class="line"><a id="l00908" name="l00908"></a><span class="lineno"> 908</span> <span class="comment">// TODO(user): Consider passing the x_vars to this method instead of</span></div>
<div class="line"><a id="l00909" name="l00909"></a><span class="lineno"> 909</span> <span class="comment">// computing it here.</span></div>
<div class="line"><a id="l00910" name="l00910"></a><span class="lineno"> 910</span> std::vector&lt;IntegerVariable&gt; x_vars;</div>
<div class="line"><a id="l00911" name="l00911"></a><span class="lineno"> 911</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div>
<div class="line"><a id="l00912" name="l00912"></a><span class="lineno"> 912</span> x_vars.insert(x_vars.end(), exprs[i].vars.begin(), exprs[i].vars.end());</div>
<div class="line"><a id="l00913" name="l00913"></a><span class="lineno"> 913</span> }</div>
<div class="line"><a id="l00914" name="l00914"></a><span class="lineno"> 914</span> <a class="code hl_function" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&amp;x_vars);</div>
<div class="line"><a id="l00915" name="l00915"></a><span class="lineno"> 915</span> </div>
<div class="line"><a id="l00916" name="l00916"></a><span class="lineno"> 916</span> <span class="comment">// All expressions should only contain positive variables.</span></div>
<div class="line"><a id="l00917" name="l00917"></a><span class="lineno"> 917</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(std::all_of(x_vars.begin(), x_vars.end(), [](IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
<div class="line"><a id="l00918" name="l00918"></a><span class="lineno"> 918</span> return VariableIsPositive(var);</div>
<div class="line"><a id="l00919" name="l00919"></a><span class="lineno"> 919</span> }));</div>
<div class="line"><a id="l00920" name="l00920"></a><span class="lineno"> 920</span> </div>
<div class="line"><a id="l00921" name="l00921"></a><span class="lineno"> 921</span> std::vector&lt;std::vector&lt;IntegerValue&gt;&gt; sum_of_max_corner_diff(</div>
<div class="line"><a id="l00922" name="l00922"></a><span class="lineno"> 922</span> num_exprs, std::vector&lt;IntegerValue&gt;(num_exprs, IntegerValue(0)));</div>
<div class="line"><a id="l00923" name="l00923"></a><span class="lineno"> 923</span> </div>
<div class="line"><a id="l00924" name="l00924"></a><span class="lineno"> 924</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00925" name="l00925"></a><span class="lineno"> 925</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div>
<div class="line"><a id="l00926" name="l00926"></a><span class="lineno"> 926</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_exprs; ++j) {</div>
<div class="line"><a id="l00927" name="l00927"></a><span class="lineno"> 927</span> <span class="keywordflow">if</span> (i == j) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00928" name="l00928"></a><span class="lineno"> 928</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable x_var : x_vars) {</div>
<div class="line"><a id="l00929" name="l00929"></a><span class="lineno"> 929</span> <span class="keyword">const</span> IntegerValue lb = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x_var);</div>
<div class="line"><a id="l00930" name="l00930"></a><span class="lineno"> 930</span> <span class="keyword">const</span> IntegerValue ub = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(x_var);</div>
<div class="line"><a id="l00931" name="l00931"></a><span class="lineno"> 931</span> <span class="keyword">const</span> IntegerValue diff =</div>
<div class="line"><a id="l00932" name="l00932"></a><span class="lineno"> 932</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(x_var, exprs[j]) - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(x_var, exprs[i]);</div>
<div class="line"><a id="l00933" name="l00933"></a><span class="lineno"> 933</span> sum_of_max_corner_diff[i][j] += <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(diff * lb, diff * ub);</div>
<div class="line"><a id="l00934" name="l00934"></a><span class="lineno"> 934</span> }</div>
<div class="line"><a id="l00935" name="l00935"></a><span class="lineno"> 935</span> }</div>
<div class="line"><a id="l00936" name="l00936"></a><span class="lineno"> 936</span> }</div>
<div class="line"><a id="l00937" name="l00937"></a><span class="lineno"> 937</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div>
<div class="line"><a id="l00938" name="l00938"></a><span class="lineno"> 938</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, IntegerValue(0));</div>
<div class="line"><a id="l00939" name="l00939"></a><span class="lineno"> 939</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(1));</div>
<div class="line"><a id="l00940" name="l00940"></a><span class="lineno"> 940</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; exprs[i].vars.size(); ++j) {</div>
<div class="line"><a id="l00941" name="l00941"></a><span class="lineno"> 941</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(exprs[i].vars[j], -exprs[i].coeffs[j]);</div>
<div class="line"><a id="l00942" name="l00942"></a><span class="lineno"> 942</span> }</div>
<div class="line"><a id="l00943" name="l00943"></a><span class="lineno"> 943</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_exprs; ++j) {</div>
<div class="line"><a id="l00944" name="l00944"></a><span class="lineno"> 944</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(alternative_literals[j],</div>
<div class="line"><a id="l00945" name="l00945"></a><span class="lineno"> 945</span> -exprs[j].offset - sum_of_max_corner_diff[i][j]));</div>
<div class="line"><a id="l00946" name="l00946"></a><span class="lineno"> 946</span> }</div>
<div class="line"><a id="l00947" name="l00947"></a><span class="lineno"> 947</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00948" name="l00948"></a><span class="lineno"> 948</span> }</div>
<div class="line"><a id="l00949" name="l00949"></a><span class="lineno"> 949</span>}</div>
<div class="line"><a id="l00950" name="l00950"></a><span class="lineno"> 950</span> </div>
<div class="line"><a id="l00951" name="l00951"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe"> 951</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe">AppendLinearConstraintRelaxation</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>,</div>
<div class="line"><a id="l00952" name="l00952"></a><span class="lineno"> 952</span> <span class="keywordtype">bool</span> linearize_enforced_constraints,</div>
<div class="line"><a id="l00953" name="l00953"></a><span class="lineno"> 953</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00954" name="l00954"></a><span class="lineno"> 954</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l00955" name="l00955"></a><span class="lineno"> 955</span> <span class="keyword">auto</span>* mapping = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l00956" name="l00956"></a><span class="lineno"> 956</span> </div>
<div class="line"><a id="l00957" name="l00957"></a><span class="lineno"> 957</span> <span class="comment">// Note that we ignore the holes in the domain.</span></div>
<div class="line"><a id="l00958" name="l00958"></a><span class="lineno"> 958</span> <span class="comment">//</span></div>
<div class="line"><a id="l00959" name="l00959"></a><span class="lineno"> 959</span> <span class="comment">// TODO(user): In LoadLinearConstraint() we already created intermediate</span></div>
<div class="line"><a id="l00960" name="l00960"></a><span class="lineno"> 960</span> <span class="comment">// Booleans for each disjoint interval, we should reuse them here if</span></div>
<div class="line"><a id="l00961" name="l00961"></a><span class="lineno"> 961</span> <span class="comment">// possible.</span></div>
<div class="line"><a id="l00962" name="l00962"></a><span class="lineno"> 962</span> <span class="comment">//</span></div>
<div class="line"><a id="l00963" name="l00963"></a><span class="lineno"> 963</span> <span class="comment">// TODO(user): process the &quot;at most one&quot; part of a == 1 separately?</span></div>
<div class="line"><a id="l00964" name="l00964"></a><span class="lineno"> 964</span> <span class="keyword">const</span> IntegerValue rhs_domain_min = IntegerValue(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().domain(0));</div>
<div class="line"><a id="l00965" name="l00965"></a><span class="lineno"> 965</span> <span class="keyword">const</span> IntegerValue rhs_domain_max =</div>
<div class="line"><a id="l00966" name="l00966"></a><span class="lineno"> 966</span> IntegerValue(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().domain(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().domain_size() - 1));</div>
<div class="line"><a id="l00967" name="l00967"></a><span class="lineno"> 967</span> <span class="keywordflow">if</span> (rhs_domain_min == <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits&lt;int64_t&gt;::min</a>() &amp;&amp;</div>
<div class="line"><a id="l00968" name="l00968"></a><span class="lineno"> 968</span> rhs_domain_max == <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>())</div>
<div class="line"><a id="l00969" name="l00969"></a><span class="lineno"> 969</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00970" name="l00970"></a><span class="lineno"> 970</span> </div>
<div class="line"><a id="l00971" name="l00971"></a><span class="lineno"> 971</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div>
<div class="line"><a id="l00972" name="l00972"></a><span class="lineno"> 972</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs_domain_min, rhs_domain_max);</div>
<div class="line"><a id="l00973" name="l00973"></a><span class="lineno"> 973</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size(); i++) {</div>
<div class="line"><a id="l00974" name="l00974"></a><span class="lineno"> 974</span> <span class="keyword">const</span> <span class="keywordtype">int</span> ref = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars(i);</div>
<div class="line"><a id="l00975" name="l00975"></a><span class="lineno"> 975</span> <span class="keyword">const</span> int64_t <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().coeffs(i);</div>
<div class="line"><a id="l00976" name="l00976"></a><span class="lineno"> 976</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(mapping-&gt;Integer(ref), IntegerValue(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>));</div>
<div class="line"><a id="l00977" name="l00977"></a><span class="lineno"> 977</span> }</div>
<div class="line"><a id="l00978" name="l00978"></a><span class="lineno"> 978</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l00979" name="l00979"></a><span class="lineno"> 979</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00980" name="l00980"></a><span class="lineno"> 980</span> }</div>
<div class="line"><a id="l00981" name="l00981"></a><span class="lineno"> 981</span> </div>
<div class="line"><a id="l00982" name="l00982"></a><span class="lineno"> 982</span> <span class="comment">// Reified version.</span></div>
<div class="line"><a id="l00983" name="l00983"></a><span class="lineno"> 983</span> <span class="keywordflow">if</span> (!linearize_enforced_constraints) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00984" name="l00984"></a><span class="lineno"> 984</span> </div>
<div class="line"><a id="l00985" name="l00985"></a><span class="lineno"> 985</span> <span class="comment">// We linearize fully reified constraints of size 1 all together for a given</span></div>
<div class="line"><a id="l00986" name="l00986"></a><span class="lineno"> 986</span> <span class="comment">// variable. But we need to process half-reified ones.</span></div>
<div class="line"><a id="l00987" name="l00987"></a><span class="lineno"> 987</span> <span class="keywordflow">if</span> (!mapping-&gt;IsHalfEncodingConstraint(&amp;<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) &amp;&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size() &lt;= 1) {</div>
<div class="line"><a id="l00988" name="l00988"></a><span class="lineno"> 988</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00989" name="l00989"></a><span class="lineno"> 989</span> }</div>
<div class="line"><a id="l00990" name="l00990"></a><span class="lineno"> 990</span> </div>
<div class="line"><a id="l00991" name="l00991"></a><span class="lineno"> 991</span> std::vector&lt;Literal&gt; enforcing_literals;</div>
<div class="line"><a id="l00992" name="l00992"></a><span class="lineno"> 992</span> enforcing_literals.reserve(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal_size());</div>
<div class="line"><a id="l00993" name="l00993"></a><span class="lineno"> 993</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div>
<div class="line"><a id="l00994" name="l00994"></a><span class="lineno"> 994</span> enforcing_literals.push_back(mapping-&gt;Literal(enforcement_ref));</div>
<div class="line"><a id="l00995" name="l00995"></a><span class="lineno"> 995</span> }</div>
<div class="line"><a id="l00996" name="l00996"></a><span class="lineno"> 996</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr;</div>
<div class="line"><a id="l00997" name="l00997"></a><span class="lineno"> 997</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.reserve(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size());</div>
<div class="line"><a id="l00998" name="l00998"></a><span class="lineno"> 998</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.reserve(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size());</div>
<div class="line"><a id="l00999" name="l00999"></a><span class="lineno"> 999</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size(); i++) {</div>
<div class="line"><a id="l01000" name="l01000"></a><span class="lineno"> 1000</span> <span class="keywordtype">int</span> ref = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars(i);</div>
<div class="line"><a id="l01001" name="l01001"></a><span class="lineno"> 1001</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().coeffs(i));</div>
<div class="line"><a id="l01002" name="l01002"></a><span class="lineno"> 1002</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref)) {</div>
<div class="line"><a id="l01003" name="l01003"></a><span class="lineno"> 1003</span> ref = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acdbc8ad33149d45a6e6fcd8b72fd68ed">PositiveRef</a>(ref);</div>
<div class="line"><a id="l01004" name="l01004"></a><span class="lineno"> 1004</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = -<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>;</div>
<div class="line"><a id="l01005" name="l01005"></a><span class="lineno"> 1005</span> }</div>
<div class="line"><a id="l01006" name="l01006"></a><span class="lineno"> 1006</span> <span class="keyword">const</span> IntegerVariable int_var = mapping-&gt;Integer(ref);</div>
<div class="line"><a id="l01007" name="l01007"></a><span class="lineno"> 1007</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(int_var);</div>
<div class="line"><a id="l01008" name="l01008"></a><span class="lineno"> 1008</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l01009" name="l01009"></a><span class="lineno"> 1009</span> }</div>
<div class="line"><a id="l01010" name="l01010"></a><span class="lineno"> 1010</span> AppendEnforcedLinearExpression(enforcing_literals, expr, rhs_domain_min,</div>
<div class="line"><a id="l01011" name="l01011"></a><span class="lineno"> 1011</span> rhs_domain_max, *<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01012" name="l01012"></a><span class="lineno"> 1012</span>}</div>
<div class="line"><a id="l01013" name="l01013"></a><span class="lineno"> 1013</span> </div>
<div class="line"><a id="l01014" name="l01014"></a><span class="lineno"> 1014</span><span class="comment">// Add a static and a dynamic linear relaxation of the CP constraint to the set</span></div>
<div class="line"><a id="l01015" name="l01015"></a><span class="lineno"> 1015</span><span class="comment">// of linear constraints. The highest linearization_level is, the more types of</span></div>
<div class="line"><a id="l01016" name="l01016"></a><span class="lineno"> 1016</span><span class="comment">// constraint we encode. This method should be called only for</span></div>
<div class="line"><a id="l01017" name="l01017"></a><span class="lineno"> 1017</span><span class="comment">// linearization_level &gt; 0. The static part is just called a relaxation and is</span></div>
<div class="line"><a id="l01018" name="l01018"></a><span class="lineno"> 1018</span><span class="comment">// called at the root node of the search. The dynamic part is implemented</span></div>
<div class="line"><a id="l01019" name="l01019"></a><span class="lineno"> 1019</span><span class="comment">// through a set of linear cut generators that will be called throughout the</span></div>
<div class="line"><a id="l01020" name="l01020"></a><span class="lineno"> 1020</span><span class="comment">// search.</span></div>
<div class="line"><a id="l01021" name="l01021"></a><span class="lineno"> 1021</span><span class="comment">//</span></div>
<div class="line"><a id="l01022" name="l01022"></a><span class="lineno"> 1022</span><span class="comment">// TODO(user): In full generality, we could encode all the constraint as an LP.</span></div>
<div class="line"><a id="l01023" name="l01023"></a><span class="lineno"> 1023</span><span class="comment">// TODO(user): Add unit tests for this method.</span></div>
<div class="line"><a id="l01024" name="l01024"></a><span class="lineno"> 1024</span><span class="comment">// TODO(user): Remove and merge with model loading.</span></div>
<div class="line"><a id="l01025" name="l01025"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc"> 1025</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc">TryToLinearizeConstraint</a>(<span class="keyword">const</span> CpModelProto&amp; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
<div class="line"><a id="l01026" name="l01026"></a><span class="lineno"> 1026</span> <span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>,</div>
<div class="line"><a id="l01027" name="l01027"></a><span class="lineno"> 1027</span> <span class="keywordtype">int</span> linearization_level, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l01028" name="l01028"></a><span class="lineno"> 1028</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01029" name="l01029"></a><span class="lineno"> 1029</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>(), 0);</div>
<div class="line"><a id="l01030" name="l01030"></a><span class="lineno"> 1030</span> <a class="code hl_define" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(linearization_level, 0);</div>
<div class="line"><a id="l01031" name="l01031"></a><span class="lineno"> 1031</span> </div>
<div class="line"><a id="l01032" name="l01032"></a><span class="lineno"> 1032</span> <span class="keywordflow">switch</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case()) {</div>
<div class="line"><a id="l01033" name="l01033"></a><span class="lineno"> 1033</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kBoolOr: {</div>
<div class="line"><a id="l01034" name="l01034"></a><span class="lineno"> 1034</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01035" name="l01035"></a><span class="lineno"> 1035</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66">AppendBoolOrRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01036" name="l01036"></a><span class="lineno"> 1036</span> }</div>
<div class="line"><a id="l01037" name="l01037"></a><span class="lineno"> 1037</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01038" name="l01038"></a><span class="lineno"> 1038</span> }</div>
<div class="line"><a id="l01039" name="l01039"></a><span class="lineno"> 1039</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kBoolAnd: {</div>
<div class="line"><a id="l01040" name="l01040"></a><span class="lineno"> 1040</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01041" name="l01041"></a><span class="lineno"> 1041</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0">AppendBoolAndRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01042" name="l01042"></a><span class="lineno"> 1042</span> }</div>
<div class="line"><a id="l01043" name="l01043"></a><span class="lineno"> 1043</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01044" name="l01044"></a><span class="lineno"> 1044</span> }</div>
<div class="line"><a id="l01045" name="l01045"></a><span class="lineno"> 1045</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kAtMostOne: {</div>
<div class="line"><a id="l01046" name="l01046"></a><span class="lineno"> 1046</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b">AppendAtMostOneRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01047" name="l01047"></a><span class="lineno"> 1047</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01048" name="l01048"></a><span class="lineno"> 1048</span> }</div>
<div class="line"><a id="l01049" name="l01049"></a><span class="lineno"> 1049</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kExactlyOne: {</div>
<div class="line"><a id="l01050" name="l01050"></a><span class="lineno"> 1050</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1">AppendExactlyOneRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01051" name="l01051"></a><span class="lineno"> 1051</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01052" name="l01052"></a><span class="lineno"> 1052</span> }</div>
<div class="line"><a id="l01053" name="l01053"></a><span class="lineno"> 1053</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kIntProd: {</div>
<div class="line"><a id="l01054" name="l01054"></a><span class="lineno"> 1054</span> <span class="comment">// No relaxation, just a cut generator .</span></div>
<div class="line"><a id="l01055" name="l01055"></a><span class="lineno"> 1055</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a750b06e478ba967ec89e70fb3fa7394a">AddIntProdCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01056" name="l01056"></a><span class="lineno"> 1056</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01057" name="l01057"></a><span class="lineno"> 1057</span> }</div>
<div class="line"><a id="l01058" name="l01058"></a><span class="lineno"> 1058</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kLinMax: {</div>
<div class="line"><a id="l01059" name="l01059"></a><span class="lineno"> 1059</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f">AppendLinMaxRelaxationPart1</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01060" name="l01060"></a><span class="lineno"> 1060</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> is_affine_max = LinMaxContainsOnlyOneVarInExpressions(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
<div class="line"><a id="l01061" name="l01061"></a><span class="lineno"> 1061</span> <span class="keywordflow">if</span> (is_affine_max) {</div>
<div class="line"><a id="l01062" name="l01062"></a><span class="lineno"> 1062</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e">AppendMaxAffineRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01063" name="l01063"></a><span class="lineno"> 1063</span> }</div>
<div class="line"><a id="l01064" name="l01064"></a><span class="lineno"> 1064</span> </div>
<div class="line"><a id="l01065" name="l01065"></a><span class="lineno"> 1065</span> <span class="comment">// Add cut generators.</span></div>
<div class="line"><a id="l01066" name="l01066"></a><span class="lineno"> 1066</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01067" name="l01067"></a><span class="lineno"> 1067</span> <span class="keywordflow">if</span> (is_affine_max) {</div>
<div class="line"><a id="l01068" name="l01068"></a><span class="lineno"> 1068</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929">AddMaxAffineCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01069" name="l01069"></a><span class="lineno"> 1069</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01070" name="l01070"></a><span class="lineno"> 1070</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70">AddLinMaxCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01071" name="l01071"></a><span class="lineno"> 1071</span> }</div>
<div class="line"><a id="l01072" name="l01072"></a><span class="lineno"> 1072</span> }</div>
<div class="line"><a id="l01073" name="l01073"></a><span class="lineno"> 1073</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01074" name="l01074"></a><span class="lineno"> 1074</span> }</div>
<div class="line"><a id="l01075" name="l01075"></a><span class="lineno"> 1075</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kAllDiff: {</div>
<div class="line"><a id="l01076" name="l01076"></a><span class="lineno"> 1076</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01077" name="l01077"></a><span class="lineno"> 1077</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813">AddAllDiffCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01078" name="l01078"></a><span class="lineno"> 1078</span> }</div>
<div class="line"><a id="l01079" name="l01079"></a><span class="lineno"> 1079</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01080" name="l01080"></a><span class="lineno"> 1080</span> }</div>
<div class="line"><a id="l01081" name="l01081"></a><span class="lineno"> 1081</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kLinear: {</div>
<div class="line"><a id="l01082" name="l01082"></a><span class="lineno"> 1082</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe">AppendLinearConstraintRelaxation</a>(</div>
<div class="line"><a id="l01083" name="l01083"></a><span class="lineno"> 1083</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <span class="comment">/*linearize_enforced_constraints=*/</span>linearization_level &gt; 1, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l01084" name="l01084"></a><span class="lineno"> 1084</span> relaxation);</div>
<div class="line"><a id="l01085" name="l01085"></a><span class="lineno"> 1085</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01086" name="l01086"></a><span class="lineno"> 1086</span> }</div>
<div class="line"><a id="l01087" name="l01087"></a><span class="lineno"> 1087</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kCircuit: {</div>
<div class="line"><a id="l01088" name="l01088"></a><span class="lineno"> 1088</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5">AppendCircuitRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01089" name="l01089"></a><span class="lineno"> 1089</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01090" name="l01090"></a><span class="lineno"> 1090</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a">AddCircuitCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01091" name="l01091"></a><span class="lineno"> 1091</span> }</div>
<div class="line"><a id="l01092" name="l01092"></a><span class="lineno"> 1092</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01093" name="l01093"></a><span class="lineno"> 1093</span> }</div>
<div class="line"><a id="l01094" name="l01094"></a><span class="lineno"> 1094</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kRoutes: {</div>
<div class="line"><a id="l01095" name="l01095"></a><span class="lineno"> 1095</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234">AppendRoutesRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01096" name="l01096"></a><span class="lineno"> 1096</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01097" name="l01097"></a><span class="lineno"> 1097</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83">AddRoutesCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01098" name="l01098"></a><span class="lineno"> 1098</span> }</div>
<div class="line"><a id="l01099" name="l01099"></a><span class="lineno"> 1099</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01100" name="l01100"></a><span class="lineno"> 1100</span> }</div>
<div class="line"><a id="l01101" name="l01101"></a><span class="lineno"> 1101</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kNoOverlap: {</div>
<div class="line"><a id="l01102" name="l01102"></a><span class="lineno"> 1102</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01103" name="l01103"></a><span class="lineno"> 1103</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa">AppendNoOverlapRelaxation</a>(<a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01104" name="l01104"></a><span class="lineno"> 1104</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e">AddNoOverlapCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01105" name="l01105"></a><span class="lineno"> 1105</span> }</div>
<div class="line"><a id="l01106" name="l01106"></a><span class="lineno"> 1106</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01107" name="l01107"></a><span class="lineno"> 1107</span> }</div>
<div class="line"><a id="l01108" name="l01108"></a><span class="lineno"> 1108</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kCumulative: {</div>
<div class="line"><a id="l01109" name="l01109"></a><span class="lineno"> 1109</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01110" name="l01110"></a><span class="lineno"> 1110</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6">AppendCumulativeRelaxation</a>(<a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01111" name="l01111"></a><span class="lineno"> 1111</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883">AddCumulativeCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01112" name="l01112"></a><span class="lineno"> 1112</span> }</div>
<div class="line"><a id="l01113" name="l01113"></a><span class="lineno"> 1113</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01114" name="l01114"></a><span class="lineno"> 1114</span> }</div>
<div class="line"><a id="l01115" name="l01115"></a><span class="lineno"> 1115</span> <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kNoOverlap2D: {</div>
<div class="line"><a id="l01116" name="l01116"></a><span class="lineno"> 1116</span> <span class="comment">// Adds an energetic relaxation (sum of areas fits in bounding box).</span></div>
<div class="line"><a id="l01117" name="l01117"></a><span class="lineno"> 1117</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acdadae230cef47ac321c22a5a880a85f">AppendNoOverlap2dRelaxation</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01118" name="l01118"></a><span class="lineno"> 1118</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div>
<div class="line"><a id="l01119" name="l01119"></a><span class="lineno"> 1119</span> <span class="comment">// Adds a completion time cut generator and an energetic cut generator.</span></div>
<div class="line"><a id="l01120" name="l01120"></a><span class="lineno"> 1120</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5">AddNoOverlap2dCutGenerator</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div>
<div class="line"><a id="l01121" name="l01121"></a><span class="lineno"> 1121</span> }</div>
<div class="line"><a id="l01122" name="l01122"></a><span class="lineno"> 1122</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01123" name="l01123"></a><span class="lineno"> 1123</span> }</div>
<div class="line"><a id="l01124" name="l01124"></a><span class="lineno"> 1124</span> <span class="keywordflow">default</span>: {</div>
<div class="line"><a id="l01125" name="l01125"></a><span class="lineno"> 1125</span> }</div>
<div class="line"><a id="l01126" name="l01126"></a><span class="lineno"> 1126</span> }</div>
<div class="line"><a id="l01127" name="l01127"></a><span class="lineno"> 1127</span>}</div>
<div class="line"><a id="l01128" name="l01128"></a><span class="lineno"> 1128</span> </div>
<div class="line"><a id="l01129" name="l01129"></a><span class="lineno"> 1129</span><span class="comment">// Cut generators.</span></div>
<div class="line"><a id="l01130" name="l01130"></a><span class="lineno"> 1130</span> </div>
<div class="line"><a id="l01131" name="l01131"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a"> 1131</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a">AddCircuitCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01132" name="l01132"></a><span class="lineno"> 1132</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01133" name="l01133"></a><span class="lineno"> 1133</span> std::vector&lt;int&gt; tails(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails().begin(),</div>
<div class="line"><a id="l01134" name="l01134"></a><span class="lineno"> 1134</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails().end());</div>
<div class="line"><a id="l01135" name="l01135"></a><span class="lineno"> 1135</span> std::vector&lt;int&gt; heads(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads().begin(),</div>
<div class="line"><a id="l01136" name="l01136"></a><span class="lineno"> 1136</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads().end());</div>
<div class="line"><a id="l01137" name="l01137"></a><span class="lineno"> 1137</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01138" name="l01138"></a><span class="lineno"> 1138</span> std::vector&lt;Literal&gt; literals = mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#af95d44da268450fcb634bb1ae3732527">Literals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals());</div>
<div class="line"><a id="l01139" name="l01139"></a><span class="lineno"> 1139</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8f4f9889ab3527ce5381ed32e2fae25a">ReindexArcs</a>(&amp;tails, &amp;heads);</div>
<div class="line"><a id="l01140" name="l01140"></a><span class="lineno"> 1140</span> </div>
<div class="line"><a id="l01141" name="l01141"></a><span class="lineno"> 1141</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">CreateStronglyConnectedGraphCutGenerator</a>(</div>
<div class="line"><a id="l01142" name="l01142"></a><span class="lineno"> 1142</span> num_nodes, tails, heads, literals, m));</div>
<div class="line"><a id="l01143" name="l01143"></a><span class="lineno"> 1143</span>}</div>
<div class="line"><a id="l01144" name="l01144"></a><span class="lineno"> 1144</span> </div>
<div class="line"><a id="l01145" name="l01145"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83"> 1145</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83">AddRoutesCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01146" name="l01146"></a><span class="lineno"> 1146</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01147" name="l01147"></a><span class="lineno"> 1147</span> std::vector&lt;int&gt; tails(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails().begin(),</div>
<div class="line"><a id="l01148" name="l01148"></a><span class="lineno"> 1148</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails().end());</div>
<div class="line"><a id="l01149" name="l01149"></a><span class="lineno"> 1149</span> std::vector&lt;int&gt; heads(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads().begin(),</div>
<div class="line"><a id="l01150" name="l01150"></a><span class="lineno"> 1150</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads().end());</div>
<div class="line"><a id="l01151" name="l01151"></a><span class="lineno"> 1151</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01152" name="l01152"></a><span class="lineno"> 1152</span> std::vector&lt;Literal&gt; literals = mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#af95d44da268450fcb634bb1ae3732527">Literals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().literals());</div>
<div class="line"><a id="l01153" name="l01153"></a><span class="lineno"> 1153</span> </div>
<div class="line"><a id="l01154" name="l01154"></a><span class="lineno"> 1154</span> <span class="keywordtype">int</span> num_nodes = 0;</div>
<div class="line"><a id="l01155" name="l01155"></a><span class="lineno"> 1155</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails_size(); ++i) {</div>
<div class="line"><a id="l01156" name="l01156"></a><span class="lineno"> 1156</span> num_nodes = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(num_nodes, 1 + <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails(i));</div>
<div class="line"><a id="l01157" name="l01157"></a><span class="lineno"> 1157</span> num_nodes = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(num_nodes, 1 + <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads(i));</div>
<div class="line"><a id="l01158" name="l01158"></a><span class="lineno"> 1158</span> }</div>
<div class="line"><a id="l01159" name="l01159"></a><span class="lineno"> 1159</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().demands().empty() || <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().capacity() == 0) {</div>
<div class="line"><a id="l01160" name="l01160"></a><span class="lineno"> 1160</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01161" name="l01161"></a><span class="lineno"> 1161</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">CreateStronglyConnectedGraphCutGenerator</a>(num_nodes, tails, heads,</div>
<div class="line"><a id="l01162" name="l01162"></a><span class="lineno"> 1162</span> literals, m));</div>
<div class="line"><a id="l01163" name="l01163"></a><span class="lineno"> 1163</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01164" name="l01164"></a><span class="lineno"> 1164</span> <span class="keyword">const</span> std::vector&lt;int64_t&gt; demands(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().demands().begin(),</div>
<div class="line"><a id="l01165" name="l01165"></a><span class="lineno"> 1165</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().demands().end());</div>
<div class="line"><a id="l01166" name="l01166"></a><span class="lineno"> 1166</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0a5fb77a89e69aa0f99f00187dbdd798">CreateCVRPCutGenerator</a>(</div>
<div class="line"><a id="l01167" name="l01167"></a><span class="lineno"> 1167</span> num_nodes, tails, heads, literals, demands, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().capacity(), m));</div>
<div class="line"><a id="l01168" name="l01168"></a><span class="lineno"> 1168</span> }</div>
<div class="line"><a id="l01169" name="l01169"></a><span class="lineno"> 1169</span>}</div>
<div class="line"><a id="l01170" name="l01170"></a><span class="lineno"> 1170</span> </div>
<div class="line"><a id="l01171" name="l01171"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a750b06e478ba967ec89e70fb3fa7394a"> 1171</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a750b06e478ba967ec89e70fb3fa7394a">AddIntProdCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <span class="keywordtype">int</span> linearization_level,</div>
<div class="line"><a id="l01172" name="l01172"></a><span class="lineno"> 1172</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01173" name="l01173"></a><span class="lineno"> 1173</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01174" name="l01174"></a><span class="lineno"> 1174</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().exprs_size() != 2) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01175" name="l01175"></a><span class="lineno"> 1175</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01176" name="l01176"></a><span class="lineno"> 1176</span> </div>
<div class="line"><a id="l01177" name="l01177"></a><span class="lineno"> 1177</span> <span class="comment">// Constraint is z == x * y.</span></div>
<div class="line"><a id="l01178" name="l01178"></a><span class="lineno"> 1178</span> </div>
<div class="line"><a id="l01179" name="l01179"></a><span class="lineno"> 1179</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> z = mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().target());</div>
<div class="line"><a id="l01180" name="l01180"></a><span class="lineno"> 1180</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> x = mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().exprs(0));</div>
<div class="line"><a id="l01181" name="l01181"></a><span class="lineno"> 1181</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> y = mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().exprs(1));</div>
<div class="line"><a id="l01182" name="l01182"></a><span class="lineno"> 1182</span> </div>
<div class="line"><a id="l01183" name="l01183"></a><span class="lineno"> 1183</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* <span class="keyword">const</span> integer_trail = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l01184" name="l01184"></a><span class="lineno"> 1184</span> IntegerValue x_lb = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(x);</div>
<div class="line"><a id="l01185" name="l01185"></a><span class="lineno"> 1185</span> IntegerValue x_ub = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(x);</div>
<div class="line"><a id="l01186" name="l01186"></a><span class="lineno"> 1186</span> IntegerValue y_lb = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(y);</div>
<div class="line"><a id="l01187" name="l01187"></a><span class="lineno"> 1187</span> IntegerValue y_ub = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(y);</div>
<div class="line"><a id="l01188" name="l01188"></a><span class="lineno"> 1188</span> </div>
<div class="line"><a id="l01189" name="l01189"></a><span class="lineno"> 1189</span> <span class="keywordflow">if</span> (x == y) {</div>
<div class="line"><a id="l01190" name="l01190"></a><span class="lineno"> 1190</span> <span class="comment">// We currently only support variables with non-negative domains.</span></div>
<div class="line"><a id="l01191" name="l01191"></a><span class="lineno"> 1191</span> <span class="keywordflow">if</span> (x_lb &lt; 0 &amp;&amp; x_ub &gt; 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01192" name="l01192"></a><span class="lineno"> 1192</span> </div>
<div class="line"><a id="l01193" name="l01193"></a><span class="lineno"> 1193</span> <span class="comment">// Change the sigh of x if its domain is non-positive.</span></div>
<div class="line"><a id="l01194" name="l01194"></a><span class="lineno"> 1194</span> <span class="keywordflow">if</span> (x_ub &lt;= 0) {</div>
<div class="line"><a id="l01195" name="l01195"></a><span class="lineno"> 1195</span> x = x.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>();</div>
<div class="line"><a id="l01196" name="l01196"></a><span class="lineno"> 1196</span> }</div>
<div class="line"><a id="l01197" name="l01197"></a><span class="lineno"> 1197</span> </div>
<div class="line"><a id="l01198" name="l01198"></a><span class="lineno"> 1198</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01199" name="l01199"></a><span class="lineno"> 1199</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a91e92ebb8d6c8bd62ae597625f443427">CreateSquareCutGenerator</a>(z, x, linearization_level, m));</div>
<div class="line"><a id="l01200" name="l01200"></a><span class="lineno"> 1200</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01201" name="l01201"></a><span class="lineno"> 1201</span> <span class="comment">// We currently only support variables with non-negative domains.</span></div>
<div class="line"><a id="l01202" name="l01202"></a><span class="lineno"> 1202</span> <span class="keywordflow">if</span> (x_lb &lt; 0 &amp;&amp; x_ub &gt; 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01203" name="l01203"></a><span class="lineno"> 1203</span> <span class="keywordflow">if</span> (y_lb &lt; 0 &amp;&amp; y_ub &gt; 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01204" name="l01204"></a><span class="lineno"> 1204</span> </div>
<div class="line"><a id="l01205" name="l01205"></a><span class="lineno"> 1205</span> <span class="comment">// Change signs to return to the case where all variables are a domain</span></div>
<div class="line"><a id="l01206" name="l01206"></a><span class="lineno"> 1206</span> <span class="comment">// with non negative values only.</span></div>
<div class="line"><a id="l01207" name="l01207"></a><span class="lineno"> 1207</span> <span class="keywordflow">if</span> (x_ub &lt;= 0) {</div>
<div class="line"><a id="l01208" name="l01208"></a><span class="lineno"> 1208</span> x = x.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>();</div>
<div class="line"><a id="l01209" name="l01209"></a><span class="lineno"> 1209</span> z = z.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>();</div>
<div class="line"><a id="l01210" name="l01210"></a><span class="lineno"> 1210</span> }</div>
<div class="line"><a id="l01211" name="l01211"></a><span class="lineno"> 1211</span> <span class="keywordflow">if</span> (y_ub &lt;= 0) {</div>
<div class="line"><a id="l01212" name="l01212"></a><span class="lineno"> 1212</span> y = y.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>();</div>
<div class="line"><a id="l01213" name="l01213"></a><span class="lineno"> 1213</span> z = z.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>();</div>
<div class="line"><a id="l01214" name="l01214"></a><span class="lineno"> 1214</span> }</div>
<div class="line"><a id="l01215" name="l01215"></a><span class="lineno"> 1215</span> </div>
<div class="line"><a id="l01216" name="l01216"></a><span class="lineno"> 1216</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01217" name="l01217"></a><span class="lineno"> 1217</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a86a16fa3180f4ebc8ac36c16a2b49fac">CreatePositiveMultiplicationCutGenerator</a>(z, x, y, linearization_level,</div>
<div class="line"><a id="l01218" name="l01218"></a><span class="lineno"> 1218</span> m));</div>
<div class="line"><a id="l01219" name="l01219"></a><span class="lineno"> 1219</span> }</div>
<div class="line"><a id="l01220" name="l01220"></a><span class="lineno"> 1220</span>}</div>
<div class="line"><a id="l01221" name="l01221"></a><span class="lineno"> 1221</span> </div>
<div class="line"><a id="l01222" name="l01222"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813"> 1222</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813">AddAllDiffCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01223" name="l01223"></a><span class="lineno"> 1223</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01224" name="l01224"></a><span class="lineno"> 1224</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01225" name="l01225"></a><span class="lineno"> 1225</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01226" name="l01226"></a><span class="lineno"> 1226</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_exprs = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.all_diff().exprs_size();</div>
<div class="line"><a id="l01227" name="l01227"></a><span class="lineno"> 1227</span> </div>
<div class="line"><a id="l01228" name="l01228"></a><span class="lineno"> 1228</span> <span class="keywordflow">if</span> (num_exprs &lt;= m-&gt;GetOrCreate&lt;SatParameters&gt;()-&gt;max_all_diff_cut_size()) {</div>
<div class="line"><a id="l01229" name="l01229"></a><span class="lineno"> 1229</span> std::vector&lt;AffineExpression&gt; exprs(num_exprs);</div>
<div class="line"><a id="l01230" name="l01230"></a><span class="lineno"> 1230</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> LinearExpressionProto&amp; expr : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.all_diff().exprs()) {</div>
<div class="line"><a id="l01231" name="l01231"></a><span class="lineno"> 1231</span> exprs.push_back(mapping-&gt;Affine(expr));</div>
<div class="line"><a id="l01232" name="l01232"></a><span class="lineno"> 1232</span> }</div>
<div class="line"><a id="l01233" name="l01233"></a><span class="lineno"> 1233</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01234" name="l01234"></a><span class="lineno"> 1234</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a25553837a2eba1b1fbb5ac0eac64ad15">CreateAllDifferentCutGenerator</a>(exprs, m));</div>
<div class="line"><a id="l01235" name="l01235"></a><span class="lineno"> 1235</span> }</div>
<div class="line"><a id="l01236" name="l01236"></a><span class="lineno"> 1236</span>}</div>
<div class="line"><a id="l01237" name="l01237"></a><span class="lineno"> 1237</span> </div>
<div class="line"><a id="l01238" name="l01238"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#abc92e600d7a70f5525d8c2998008a136"> 1238</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#abc92e600d7a70f5525d8c2998008a136">IntervalIsVariable</a>(<span class="keyword">const</span> IntervalVariable <a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>,</div>
<div class="line"><a id="l01239" name="l01239"></a><span class="lineno"> 1239</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>* intervals_repository) {</div>
<div class="line"><a id="l01240" name="l01240"></a><span class="lineno"> 1240</span> <span class="comment">// Ignore absent rectangles.</span></div>
<div class="line"><a id="l01241" name="l01241"></a><span class="lineno"> 1241</span> <span class="keywordflow">if</span> (intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#abb8083e4fc02516580d325852218bd1f">IsAbsent</a>(<a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>)) {</div>
<div class="line"><a id="l01242" name="l01242"></a><span class="lineno"> 1242</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01243" name="l01243"></a><span class="lineno"> 1243</span> }</div>
<div class="line"><a id="l01244" name="l01244"></a><span class="lineno"> 1244</span> </div>
<div class="line"><a id="l01245" name="l01245"></a><span class="lineno"> 1245</span> <span class="comment">// Checks non-present intervals.</span></div>
<div class="line"><a id="l01246" name="l01246"></a><span class="lineno"> 1246</span> <span class="keywordflow">if</span> (!intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa5689a9d7fc3cc9bc06004b77f5f1302">IsPresent</a>(<a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>)) {</div>
<div class="line"><a id="l01247" name="l01247"></a><span class="lineno"> 1247</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01248" name="l01248"></a><span class="lineno"> 1248</span> }</div>
<div class="line"><a id="l01249" name="l01249"></a><span class="lineno"> 1249</span> </div>
<div class="line"><a id="l01250" name="l01250"></a><span class="lineno"> 1250</span> <span class="comment">// Checks variable sized intervals.</span></div>
<div class="line"><a id="l01251" name="l01251"></a><span class="lineno"> 1251</span> <span class="keywordflow">if</span> (intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#a7a7a69d2e822ff3cb2e87d63811259c5">MinSize</a>(<a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>) !=</div>
<div class="line"><a id="l01252" name="l01252"></a><span class="lineno"> 1252</span> intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#a47498392329550af590cc3f6d9dedbf5">MaxSize</a>(<a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>)) {</div>
<div class="line"><a id="l01253" name="l01253"></a><span class="lineno"> 1253</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01254" name="l01254"></a><span class="lineno"> 1254</span> }</div>
<div class="line"><a id="l01255" name="l01255"></a><span class="lineno"> 1255</span> </div>
<div class="line"><a id="l01256" name="l01256"></a><span class="lineno"> 1256</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01257" name="l01257"></a><span class="lineno"> 1257</span>}</div>
<div class="line"><a id="l01258" name="l01258"></a><span class="lineno"> 1258</span> </div>
<div class="line"><a id="l01259" name="l01259"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883"> 1259</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883">AddCumulativeCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01260" name="l01260"></a><span class="lineno"> 1260</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01261" name="l01261"></a><span class="lineno"> 1261</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01262" name="l01262"></a><span class="lineno"> 1262</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01263" name="l01263"></a><span class="lineno"> 1263</span> </div>
<div class="line"><a id="l01264" name="l01264"></a><span class="lineno"> 1264</span> <span class="keyword">const</span> std::vector&lt;IntervalVariable&gt; intervals =</div>
<div class="line"><a id="l01265" name="l01265"></a><span class="lineno"> 1265</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">Intervals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().intervals());</div>
<div class="line"><a id="l01266" name="l01266"></a><span class="lineno"> 1266</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a> = mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().capacity());</div>
<div class="line"><a id="l01267" name="l01267"></a><span class="lineno"> 1267</span> </div>
<div class="line"><a id="l01268" name="l01268"></a><span class="lineno"> 1268</span> <span class="comment">// Scan energies.</span></div>
<div class="line"><a id="l01269" name="l01269"></a><span class="lineno"> 1269</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>* intervals_repository =</div>
<div class="line"><a id="l01270" name="l01270"></a><span class="lineno"> 1270</span> m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>&gt;();</div>
<div class="line"><a id="l01271" name="l01271"></a><span class="lineno"> 1271</span> </div>
<div class="line"><a id="l01272" name="l01272"></a><span class="lineno"> 1272</span> std::vector&lt;LinearExpression&gt; energies;</div>
<div class="line"><a id="l01273" name="l01273"></a><span class="lineno"> 1273</span> std::vector&lt;AffineExpression&gt; demands;</div>
<div class="line"><a id="l01274" name="l01274"></a><span class="lineno"> 1274</span> std::vector&lt;AffineExpression&gt; sizes;</div>
<div class="line"><a id="l01275" name="l01275"></a><span class="lineno"> 1275</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; intervals.size(); ++i) {</div>
<div class="line"><a id="l01276" name="l01276"></a><span class="lineno"> 1276</span> demands.push_back(mapping-&gt;Affine(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().demands(i)));</div>
<div class="line"><a id="l01277" name="l01277"></a><span class="lineno"> 1277</span> sizes.push_back(intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa57420b719d949fc4e8fec48c0c41dcc">Size</a>(intervals[i]));</div>
<div class="line"><a id="l01278" name="l01278"></a><span class="lineno"> 1278</span> }</div>
<div class="line"><a id="l01279" name="l01279"></a><span class="lineno"> 1279</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a47064139cec9b2ea520361ee30f0f243">LinearizeInnerProduct</a>(demands, sizes, m, &amp;energies);</div>
<div class="line"><a id="l01280" name="l01280"></a><span class="lineno"> 1280</span> </div>
<div class="line"><a id="l01281" name="l01281"></a><span class="lineno"> 1281</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01282" name="l01282"></a><span class="lineno"> 1282</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6b12eb18e7becd3da4eda60b61182f95">CreateCumulativeTimeTableCutGenerator</a>(intervals, <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands, m));</div>
<div class="line"><a id="l01283" name="l01283"></a><span class="lineno"> 1283</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01284" name="l01284"></a><span class="lineno"> 1284</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aac7919596b8f8087a558d3d4d6430d00">CreateCumulativeCompletionTimeCutGenerator</a>(intervals, <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands,</div>
<div class="line"><a id="l01285" name="l01285"></a><span class="lineno"> 1285</span> energies, m));</div>
<div class="line"><a id="l01286" name="l01286"></a><span class="lineno"> 1286</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01287" name="l01287"></a><span class="lineno"> 1287</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac8570d5d120d42444fded60c841c6616">CreateCumulativePrecedenceCutGenerator</a>(intervals, <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands, m));</div>
<div class="line"><a id="l01288" name="l01288"></a><span class="lineno"> 1288</span> </div>
<div class="line"><a id="l01289" name="l01289"></a><span class="lineno"> 1289</span> <span class="comment">// Checks if at least one rectangle has a variable size, is optional, or if</span></div>
<div class="line"><a id="l01290" name="l01290"></a><span class="lineno"> 1290</span> <span class="comment">// the demand if variable.</span></div>
<div class="line"><a id="l01291" name="l01291"></a><span class="lineno"> 1291</span> <span class="keywordtype">bool</span> has_variable_part = <span class="keyword">false</span>;</div>
<div class="line"><a id="l01292" name="l01292"></a><span class="lineno"> 1292</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l01293" name="l01293"></a><span class="lineno"> 1293</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; intervals.size(); ++i) {</div>
<div class="line"><a id="l01294" name="l01294"></a><span class="lineno"> 1294</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#abc92e600d7a70f5525d8c2998008a136">IntervalIsVariable</a>(intervals[i], intervals_repository)) {</div>
<div class="line"><a id="l01295" name="l01295"></a><span class="lineno"> 1295</span> has_variable_part = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01296" name="l01296"></a><span class="lineno"> 1296</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01297" name="l01297"></a><span class="lineno"> 1297</span> }</div>
<div class="line"><a id="l01298" name="l01298"></a><span class="lineno"> 1298</span> <span class="comment">// Checks variable demand.</span></div>
<div class="line"><a id="l01299" name="l01299"></a><span class="lineno"> 1299</span> <span class="keywordflow">if</span> (!integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[i])) {</div>
<div class="line"><a id="l01300" name="l01300"></a><span class="lineno"> 1300</span> has_variable_part = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01301" name="l01301"></a><span class="lineno"> 1301</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01302" name="l01302"></a><span class="lineno"> 1302</span> }</div>
<div class="line"><a id="l01303" name="l01303"></a><span class="lineno"> 1303</span> }</div>
<div class="line"><a id="l01304" name="l01304"></a><span class="lineno"> 1304</span> <span class="keywordflow">if</span> (has_variable_part) {</div>
<div class="line"><a id="l01305" name="l01305"></a><span class="lineno"> 1305</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a04d3913888ed0b200c1d1fa879c62804">CreateCumulativeEnergyCutGenerator</a>(</div>
<div class="line"><a id="l01306" name="l01306"></a><span class="lineno"> 1306</span> intervals, <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands, energies, m));</div>
<div class="line"><a id="l01307" name="l01307"></a><span class="lineno"> 1307</span> }</div>
<div class="line"><a id="l01308" name="l01308"></a><span class="lineno"> 1308</span>}</div>
<div class="line"><a id="l01309" name="l01309"></a><span class="lineno"> 1309</span> </div>
<div class="line"><a id="l01310" name="l01310"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e"> 1310</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e">AddNoOverlapCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01311" name="l01311"></a><span class="lineno"> 1311</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01312" name="l01312"></a><span class="lineno"> 1312</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01313" name="l01313"></a><span class="lineno"> 1313</span> </div>
<div class="line"><a id="l01314" name="l01314"></a><span class="lineno"> 1314</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01315" name="l01315"></a><span class="lineno"> 1315</span> std::vector&lt;IntervalVariable&gt; intervals =</div>
<div class="line"><a id="l01316" name="l01316"></a><span class="lineno"> 1316</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">Intervals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap().intervals());</div>
<div class="line"><a id="l01317" name="l01317"></a><span class="lineno"> 1317</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01318" name="l01318"></a><span class="lineno"> 1318</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a23849eabdcf8e9f6f90e7aa05b298dc9">CreateNoOverlapPrecedenceCutGenerator</a>(intervals, m));</div>
<div class="line"><a id="l01319" name="l01319"></a><span class="lineno"> 1319</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01320" name="l01320"></a><span class="lineno"> 1320</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a18fe82932180e2e3bac0fbdf957f01a0">CreateNoOverlapCompletionTimeCutGenerator</a>(intervals, m));</div>
<div class="line"><a id="l01321" name="l01321"></a><span class="lineno"> 1321</span> </div>
<div class="line"><a id="l01322" name="l01322"></a><span class="lineno"> 1322</span> <span class="comment">// Checks if at least one rectangle has a variable size or is optional.</span></div>
<div class="line"><a id="l01323" name="l01323"></a><span class="lineno"> 1323</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>* intervals_repository =</div>
<div class="line"><a id="l01324" name="l01324"></a><span class="lineno"> 1324</span> m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>&gt;();</div>
<div class="line"><a id="l01325" name="l01325"></a><span class="lineno"> 1325</span> <span class="keywordtype">bool</span> has_variable_part = <span class="keyword">false</span>;</div>
<div class="line"><a id="l01326" name="l01326"></a><span class="lineno"> 1326</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; intervals.size(); ++i) {</div>
<div class="line"><a id="l01327" name="l01327"></a><span class="lineno"> 1327</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#abc92e600d7a70f5525d8c2998008a136">IntervalIsVariable</a>(intervals[i], intervals_repository)) {</div>
<div class="line"><a id="l01328" name="l01328"></a><span class="lineno"> 1328</span> has_variable_part = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01329" name="l01329"></a><span class="lineno"> 1329</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01330" name="l01330"></a><span class="lineno"> 1330</span> }</div>
<div class="line"><a id="l01331" name="l01331"></a><span class="lineno"> 1331</span> }</div>
<div class="line"><a id="l01332" name="l01332"></a><span class="lineno"> 1332</span> <span class="keywordflow">if</span> (has_variable_part) {</div>
<div class="line"><a id="l01333" name="l01333"></a><span class="lineno"> 1333</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01334" name="l01334"></a><span class="lineno"> 1334</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab62fb8f885a68c653b586424aa5863c8">CreateNoOverlapEnergyCutGenerator</a>(intervals, m));</div>
<div class="line"><a id="l01335" name="l01335"></a><span class="lineno"> 1335</span> }</div>
<div class="line"><a id="l01336" name="l01336"></a><span class="lineno"> 1336</span>}</div>
<div class="line"><a id="l01337" name="l01337"></a><span class="lineno"> 1337</span> </div>
<div class="line"><a id="l01338" name="l01338"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5"> 1338</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5">AddNoOverlap2dCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01339" name="l01339"></a><span class="lineno"> 1339</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01340" name="l01340"></a><span class="lineno"> 1340</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01341" name="l01341"></a><span class="lineno"> 1341</span> </div>
<div class="line"><a id="l01342" name="l01342"></a><span class="lineno"> 1342</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01343" name="l01343"></a><span class="lineno"> 1343</span> std::vector&lt;IntervalVariable&gt; x_intervals =</div>
<div class="line"><a id="l01344" name="l01344"></a><span class="lineno"> 1344</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">Intervals</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().x_intervals());</div>
<div class="line"><a id="l01345" name="l01345"></a><span class="lineno"> 1345</span> std::vector&lt;IntervalVariable&gt; y_intervals =</div>
<div class="line"><a id="l01346" name="l01346"></a><span class="lineno"> 1346</span> mapping-&gt;Intervals(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().y_intervals());</div>
<div class="line"><a id="l01347" name="l01347"></a><span class="lineno"> 1347</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01348" name="l01348"></a><span class="lineno"> 1348</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7bd8a488b0a7ee7905bdab4c5984bd70">CreateNoOverlap2dCompletionTimeCutGenerator</a>(x_intervals, y_intervals, m));</div>
<div class="line"><a id="l01349" name="l01349"></a><span class="lineno"> 1349</span> </div>
<div class="line"><a id="l01350" name="l01350"></a><span class="lineno"> 1350</span> <span class="comment">// Checks if at least one rectangle has a variable dimension or is optional.</span></div>
<div class="line"><a id="l01351" name="l01351"></a><span class="lineno"> 1351</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>* intervals_repository =</div>
<div class="line"><a id="l01352" name="l01352"></a><span class="lineno"> 1352</span> m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_intervals_repository.html">IntervalsRepository</a>&gt;();</div>
<div class="line"><a id="l01353" name="l01353"></a><span class="lineno"> 1353</span> <span class="keywordtype">bool</span> has_variable_part = <span class="keyword">false</span>;</div>
<div class="line"><a id="l01354" name="l01354"></a><span class="lineno"> 1354</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; x_intervals.size(); ++i) {</div>
<div class="line"><a id="l01355" name="l01355"></a><span class="lineno"> 1355</span> <span class="comment">// Ignore absent rectangles.</span></div>
<div class="line"><a id="l01356" name="l01356"></a><span class="lineno"> 1356</span> <span class="keywordflow">if</span> (intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#abb8083e4fc02516580d325852218bd1f">IsAbsent</a>(x_intervals[i]) ||</div>
<div class="line"><a id="l01357" name="l01357"></a><span class="lineno"> 1357</span> intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#abb8083e4fc02516580d325852218bd1f">IsAbsent</a>(y_intervals[i])) {</div>
<div class="line"><a id="l01358" name="l01358"></a><span class="lineno"> 1358</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01359" name="l01359"></a><span class="lineno"> 1359</span> }</div>
<div class="line"><a id="l01360" name="l01360"></a><span class="lineno"> 1360</span> </div>
<div class="line"><a id="l01361" name="l01361"></a><span class="lineno"> 1361</span> <span class="comment">// Checks non-present intervals.</span></div>
<div class="line"><a id="l01362" name="l01362"></a><span class="lineno"> 1362</span> <span class="keywordflow">if</span> (!intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa5689a9d7fc3cc9bc06004b77f5f1302">IsPresent</a>(x_intervals[i]) ||</div>
<div class="line"><a id="l01363" name="l01363"></a><span class="lineno"> 1363</span> !intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa5689a9d7fc3cc9bc06004b77f5f1302">IsPresent</a>(y_intervals[i])) {</div>
<div class="line"><a id="l01364" name="l01364"></a><span class="lineno"> 1364</span> has_variable_part = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01365" name="l01365"></a><span class="lineno"> 1365</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01366" name="l01366"></a><span class="lineno"> 1366</span> }</div>
<div class="line"><a id="l01367" name="l01367"></a><span class="lineno"> 1367</span> </div>
<div class="line"><a id="l01368" name="l01368"></a><span class="lineno"> 1368</span> <span class="comment">// Checks variable sized intervals.</span></div>
<div class="line"><a id="l01369" name="l01369"></a><span class="lineno"> 1369</span> <span class="keywordflow">if</span> (intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#a7a7a69d2e822ff3cb2e87d63811259c5">MinSize</a>(x_intervals[i]) !=</div>
<div class="line"><a id="l01370" name="l01370"></a><span class="lineno"> 1370</span> intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#a47498392329550af590cc3f6d9dedbf5">MaxSize</a>(x_intervals[i]) ||</div>
<div class="line"><a id="l01371" name="l01371"></a><span class="lineno"> 1371</span> intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#a7a7a69d2e822ff3cb2e87d63811259c5">MinSize</a>(y_intervals[i]) !=</div>
<div class="line"><a id="l01372" name="l01372"></a><span class="lineno"> 1372</span> intervals_repository-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_intervals_repository.html#a47498392329550af590cc3f6d9dedbf5">MaxSize</a>(y_intervals[i])) {</div>
<div class="line"><a id="l01373" name="l01373"></a><span class="lineno"> 1373</span> has_variable_part = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01374" name="l01374"></a><span class="lineno"> 1374</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01375" name="l01375"></a><span class="lineno"> 1375</span> }</div>
<div class="line"><a id="l01376" name="l01376"></a><span class="lineno"> 1376</span> }</div>
<div class="line"><a id="l01377" name="l01377"></a><span class="lineno"> 1377</span> <span class="keywordflow">if</span> (has_variable_part) {</div>
<div class="line"><a id="l01378" name="l01378"></a><span class="lineno"> 1378</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01379" name="l01379"></a><span class="lineno"> 1379</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c1099fcb640b53078dba0e5b9bcd2ce">CreateNoOverlap2dEnergyCutGenerator</a>(x_intervals, y_intervals, m));</div>
<div class="line"><a id="l01380" name="l01380"></a><span class="lineno"> 1380</span> }</div>
<div class="line"><a id="l01381" name="l01381"></a><span class="lineno"> 1381</span>}</div>
<div class="line"><a id="l01382" name="l01382"></a><span class="lineno"> 1382</span> </div>
<div class="line"><a id="l01383" name="l01383"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70"> 1383</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70">AddLinMaxCutGenerator</a>(<span class="keyword">const</span> ConstraintProto&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01384" name="l01384"></a><span class="lineno"> 1384</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01385" name="l01385"></a><span class="lineno"> 1385</span> <span class="keywordflow">if</span> (!m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;SatParameters&gt;()-&gt;add_lin_max_cuts()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01386" name="l01386"></a><span class="lineno"> 1386</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01387" name="l01387"></a><span class="lineno"> 1387</span> </div>
<div class="line"><a id="l01388" name="l01388"></a><span class="lineno"> 1388</span> <span class="comment">// TODO(user): Support linearization of general target expression.</span></div>
<div class="line"><a id="l01389" name="l01389"></a><span class="lineno"> 1389</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01390" name="l01390"></a><span class="lineno"> 1390</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().vars_size() != 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01391" name="l01391"></a><span class="lineno"> 1391</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().coeffs(0) != 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01392" name="l01392"></a><span class="lineno"> 1392</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().offset() != 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01393" name="l01393"></a><span class="lineno"> 1393</span> </div>
<div class="line"><a id="l01394" name="l01394"></a><span class="lineno"> 1394</span> <span class="keyword">const</span> IntegerVariable target =</div>
<div class="line"><a id="l01395" name="l01395"></a><span class="lineno"> 1395</span> mapping-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a877d019ee57a306f9dc8da11efcb4c82">Integer</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().vars(0));</div>
<div class="line"><a id="l01396" name="l01396"></a><span class="lineno"> 1396</span> std::vector&lt;LinearExpression&gt; exprs;</div>
<div class="line"><a id="l01397" name="l01397"></a><span class="lineno"> 1397</span> exprs.reserve(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs_size());</div>
<div class="line"><a id="l01398" name="l01398"></a><span class="lineno"> 1398</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs_size(); ++i) {</div>
<div class="line"><a id="l01399" name="l01399"></a><span class="lineno"> 1399</span> <span class="comment">// Note: Cut generator requires all expressions to contain only positive</span></div>
<div class="line"><a id="l01400" name="l01400"></a><span class="lineno"> 1400</span> <span class="comment">// vars.</span></div>
<div class="line"><a id="l01401" name="l01401"></a><span class="lineno"> 1401</span> exprs.push_back(</div>
<div class="line"><a id="l01402" name="l01402"></a><span class="lineno"> 1402</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(mapping-&gt;GetExprFromProto(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs(i))));</div>
<div class="line"><a id="l01403" name="l01403"></a><span class="lineno"> 1403</span> }</div>
<div class="line"><a id="l01404" name="l01404"></a><span class="lineno"> 1404</span> </div>
<div class="line"><a id="l01405" name="l01405"></a><span class="lineno"> 1405</span> <span class="keyword">const</span> std::vector&lt;Literal&gt; alternative_literals =</div>
<div class="line"><a id="l01406" name="l01406"></a><span class="lineno"> 1406</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6">CreateAlternativeLiteralsWithView</a>(exprs.size(), m, relaxation);</div>
<div class="line"><a id="l01407" name="l01407"></a><span class="lineno"> 1407</span> </div>
<div class="line"><a id="l01408" name="l01408"></a><span class="lineno"> 1408</span> <span class="comment">// TODO(user): Move this out of here.</span></div>
<div class="line"><a id="l01409" name="l01409"></a><span class="lineno"> 1409</span> <span class="comment">//</span></div>
<div class="line"><a id="l01410" name="l01410"></a><span class="lineno"> 1410</span> <span class="comment">// Add initial big-M linear relaxation.</span></div>
<div class="line"><a id="l01411" name="l01411"></a><span class="lineno"> 1411</span> <span class="comment">// z_vars[i] == 1 &lt;=&gt; target = exprs[i].</span></div>
<div class="line"><a id="l01412" name="l01412"></a><span class="lineno"> 1412</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3">AppendLinMaxRelaxationPart2</a>(target, alternative_literals, exprs, m,</div>
<div class="line"><a id="l01413" name="l01413"></a><span class="lineno"> 1413</span> relaxation);</div>
<div class="line"><a id="l01414" name="l01414"></a><span class="lineno"> 1414</span> </div>
<div class="line"><a id="l01415" name="l01415"></a><span class="lineno"> 1415</span> std::vector&lt;IntegerVariable&gt; z_vars;</div>
<div class="line"><a id="l01416" name="l01416"></a><span class="lineno"> 1416</span> <span class="keyword">auto</span>* encoder = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l01417" name="l01417"></a><span class="lineno"> 1417</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit : alternative_literals) {</div>
<div class="line"><a id="l01418" name="l01418"></a><span class="lineno"> 1418</span> z_vars.push_back(encoder-&gt;GetLiteralView(lit));</div>
<div class="line"><a id="l01419" name="l01419"></a><span class="lineno"> 1419</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(z_vars.back(), <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>);</div>
<div class="line"><a id="l01420" name="l01420"></a><span class="lineno"> 1420</span> }</div>
<div class="line"><a id="l01421" name="l01421"></a><span class="lineno"> 1421</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01422" name="l01422"></a><span class="lineno"> 1422</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7fea62548e11ae728e506874f767bdd3">CreateLinMaxCutGenerator</a>(target, exprs, z_vars, m));</div>
<div class="line"><a id="l01423" name="l01423"></a><span class="lineno"> 1423</span>}</div>
<div class="line"><a id="l01424" name="l01424"></a><span class="lineno"> 1424</span> </div>
<div class="line"><a id="l01425" name="l01425"></a><span class="lineno"> 1425</span><span class="comment">// If we have an exactly one between literals l_i, and each l_i =&gt; var ==</span></div>
<div class="line"><a id="l01426" name="l01426"></a><span class="lineno"> 1426</span><span class="comment">// value_i, then we can add a strong linear relaxation: var = sum l_i * value_i.</span></div>
<div class="line"><a id="l01427" name="l01427"></a><span class="lineno"> 1427</span><span class="comment">//</span></div>
<div class="line"><a id="l01428" name="l01428"></a><span class="lineno"> 1428</span><span class="comment">// This codes detect this and add the corresponding linear equations.</span></div>
<div class="line"><a id="l01429" name="l01429"></a><span class="lineno"> 1429</span><span class="comment">//</span></div>
<div class="line"><a id="l01430" name="l01430"></a><span class="lineno"> 1430</span><span class="comment">// TODO(user): We can do something similar with just an at most one, however</span></div>
<div class="line"><a id="l01431" name="l01431"></a><span class="lineno"> 1431</span><span class="comment">// it is harder to detect that if all literal are false then none of the implied</span></div>
<div class="line"><a id="l01432" name="l01432"></a><span class="lineno"> 1432</span><span class="comment">// value can be taken.</span></div>
<div class="line"><a id="l01433" name="l01433"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb"> 1433</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb">AppendElementEncodingRelaxation</a>(<span class="keyword">const</span> CpModelProto&amp; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div>
<div class="line"><a id="l01434" name="l01434"></a><span class="lineno"> 1434</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div>
<div class="line"><a id="l01435" name="l01435"></a><span class="lineno"> 1435</span> <span class="keyword">auto</span>* implied_bounds = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_implied_bounds.html">ImpliedBounds</a>&gt;();</div>
<div class="line"><a id="l01436" name="l01436"></a><span class="lineno"> 1436</span> </div>
<div class="line"><a id="l01437" name="l01437"></a><span class="lineno"> 1437</span> <span class="keywordtype">int</span> num_exactly_one_elements = 0;</div>
<div class="line"><a id="l01438" name="l01438"></a><span class="lineno"> 1438</span> </div>
<div class="line"><a id="l01439" name="l01439"></a><span class="lineno"> 1439</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> :</div>
<div class="line"><a id="l01440" name="l01440"></a><span class="lineno"> 1440</span> implied_bounds-&gt;GetElementEncodedVariables()) {</div>
<div class="line"><a id="l01441" name="l01441"></a><span class="lineno"> 1441</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; [<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, literal_value_list] :</div>
<div class="line"><a id="l01442" name="l01442"></a><span class="lineno"> 1442</span> implied_bounds-&gt;GetElementEncodings(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l01443" name="l01443"></a><span class="lineno"> 1443</span> <span class="comment">// We only want to deal with the case with duplicate values, because</span></div>
<div class="line"><a id="l01444" name="l01444"></a><span class="lineno"> 1444</span> <span class="comment">// otherwise, the target will be fully encoded, and this is already</span></div>
<div class="line"><a id="l01445" name="l01445"></a><span class="lineno"> 1445</span> <span class="comment">// covered by another function.</span></div>
<div class="line"><a id="l01446" name="l01446"></a><span class="lineno"> 1446</span> IntegerValue min_value = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a id="l01447" name="l01447"></a><span class="lineno"> 1447</span> {</div>
<div class="line"><a id="l01448" name="l01448"></a><span class="lineno"> 1448</span> absl::flat_hash_set&lt;IntegerValue&gt; values;</div>
<div class="line"><a id="l01449" name="l01449"></a><span class="lineno"> 1449</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; literal_value : literal_value_list) {</div>
<div class="line"><a id="l01450" name="l01450"></a><span class="lineno"> 1450</span> min_value = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(min_value, literal_value.value);</div>
<div class="line"><a id="l01451" name="l01451"></a><span class="lineno"> 1451</span> values.insert(literal_value.value);</div>
<div class="line"><a id="l01452" name="l01452"></a><span class="lineno"> 1452</span> }</div>
<div class="line"><a id="l01453" name="l01453"></a><span class="lineno"> 1453</span> <span class="keywordflow">if</span> (values.size() == literal_value_list.size()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01454" name="l01454"></a><span class="lineno"> 1454</span> }</div>
<div class="line"><a id="l01455" name="l01455"></a><span class="lineno"> 1455</span> </div>
<div class="line"><a id="l01456" name="l01456"></a><span class="lineno"> 1456</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> linear_encoding(m, -min_value, -min_value);</div>
<div class="line"><a id="l01457" name="l01457"></a><span class="lineno"> 1457</span> linear_encoding.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(-1));</div>
<div class="line"><a id="l01458" name="l01458"></a><span class="lineno"> 1458</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; [<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>, <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>] : literal_value_list) {</div>
<div class="line"><a id="l01459" name="l01459"></a><span class="lineno"> 1459</span> <span class="keyword">const</span> IntegerValue delta_min = <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> - min_value;</div>
<div class="line"><a id="l01460" name="l01460"></a><span class="lineno"> 1460</span> <span class="keywordflow">if</span> (delta_min != 0) {</div>
<div class="line"><a id="l01461" name="l01461"></a><span class="lineno"> 1461</span> <span class="comment">// If the term has no view, we abort.</span></div>
<div class="line"><a id="l01462" name="l01462"></a><span class="lineno"> 1462</span> <span class="keywordflow">if</span> (!linear_encoding.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, delta_min)) {</div>
<div class="line"><a id="l01463" name="l01463"></a><span class="lineno"> 1463</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01464" name="l01464"></a><span class="lineno"> 1464</span> }</div>
<div class="line"><a id="l01465" name="l01465"></a><span class="lineno"> 1465</span> }</div>
<div class="line"><a id="l01466" name="l01466"></a><span class="lineno"> 1466</span> }</div>
<div class="line"><a id="l01467" name="l01467"></a><span class="lineno"> 1467</span> ++num_exactly_one_elements;</div>
<div class="line"><a id="l01468" name="l01468"></a><span class="lineno"> 1468</span> relaxation-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(linear_encoding.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l01469" name="l01469"></a><span class="lineno"> 1469</span> }</div>
<div class="line"><a id="l01470" name="l01470"></a><span class="lineno"> 1470</span> }</div>
<div class="line"><a id="l01471" name="l01471"></a><span class="lineno"> 1471</span> </div>
<div class="line"><a id="l01472" name="l01472"></a><span class="lineno"> 1472</span> <span class="keywordflow">if</span> (num_exactly_one_elements != 0) {</div>
<div class="line"><a id="l01473" name="l01473"></a><span class="lineno"> 1473</span> <span class="keyword">auto</span>* logger = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1_solver_logger.html">SolverLogger</a>&gt;();</div>
<div class="line"><a id="l01474" name="l01474"></a><span class="lineno"> 1474</span> <a class="code hl_define" href="util_2logging_8h.html#a5f67b653dd99ddbe5e3367e3b4b7b532">SOLVER_LOG</a>(logger,</div>
<div class="line"><a id="l01475" name="l01475"></a><span class="lineno"> 1475</span> <span class="stringliteral">&quot;[ElementLinearRelaxation]&quot;</span></div>
<div class="line"><a id="l01476" name="l01476"></a><span class="lineno"> 1476</span> <span class="stringliteral">&quot; #from_exactly_one:&quot;</span>,</div>
<div class="line"><a id="l01477" name="l01477"></a><span class="lineno"> 1477</span> num_exactly_one_elements);</div>
<div class="line"><a id="l01478" name="l01478"></a><span class="lineno"> 1478</span> }</div>
<div class="line"><a id="l01479" name="l01479"></a><span class="lineno"> 1479</span>}</div>
<div class="line"><a id="l01480" name="l01480"></a><span class="lineno"> 1480</span> </div>
<div class="line"><a id="l01481" name="l01481"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#af68ee38b3d32ecb81072b0cc4d28226b"> 1481</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af68ee38b3d32ecb81072b0cc4d28226b">ComputeLinearRelaxation</a>(<span class="keyword">const</span> CpModelProto&amp; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div>
<div class="line"><a id="l01482" name="l01482"></a><span class="lineno"> 1482</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m) {</div>
<div class="line"><a id="l01483" name="l01483"></a><span class="lineno"> 1483</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a> relaxation;</div>
<div class="line"><a id="l01484" name="l01484"></a><span class="lineno"> 1484</span> </div>
<div class="line"><a id="l01485" name="l01485"></a><span class="lineno"> 1485</span> <span class="comment">// Linearize the constraints.</span></div>
<div class="line"><a id="l01486" name="l01486"></a><span class="lineno"> 1486</span> <span class="keyword">const</span> SatParameters&amp; params = *m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;SatParameters&gt;();</div>
<div class="line"><a id="l01487" name="l01487"></a><span class="lineno"> 1487</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> : <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>.constraints()) {</div>
<div class="line"><a id="l01488" name="l01488"></a><span class="lineno"> 1488</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc">TryToLinearizeConstraint</a>(<a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, params.linearization_level(), m,</div>
<div class="line"><a id="l01489" name="l01489"></a><span class="lineno"> 1489</span> &amp;relaxation);</div>
<div class="line"><a id="l01490" name="l01490"></a><span class="lineno"> 1490</span> }</div>
<div class="line"><a id="l01491" name="l01491"></a><span class="lineno"> 1491</span> </div>
<div class="line"><a id="l01492" name="l01492"></a><span class="lineno"> 1492</span> <span class="comment">// Linearize the encoding of variable that are fully encoded.</span></div>
<div class="line"><a id="l01493" name="l01493"></a><span class="lineno"> 1493</span> <span class="keywordtype">int</span> num_loose_equality_encoding_relaxations = 0;</div>
<div class="line"><a id="l01494" name="l01494"></a><span class="lineno"> 1494</span> <span class="keywordtype">int</span> num_tight_equality_encoding_relaxations = 0;</div>
<div class="line"><a id="l01495" name="l01495"></a><span class="lineno"> 1495</span> <span class="keywordtype">int</span> num_inequality_encoding_relaxations = 0;</div>
<div class="line"><a id="l01496" name="l01496"></a><span class="lineno"> 1496</span> <span class="keyword">auto</span>* mapping = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div>
<div class="line"><a id="l01497" name="l01497"></a><span class="lineno"> 1497</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>.variables_size(); ++i) {</div>
<div class="line"><a id="l01498" name="l01498"></a><span class="lineno"> 1498</span> <span class="keywordflow">if</span> (mapping-&gt;IsBoolean(i)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01499" name="l01499"></a><span class="lineno"> 1499</span> </div>
<div class="line"><a id="l01500" name="l01500"></a><span class="lineno"> 1500</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = mapping-&gt;Integer(i);</div>
<div class="line"><a id="l01501" name="l01501"></a><span class="lineno"> 1501</span> <span class="keywordflow">if</span> (m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#a37eb53a23cb596ef5d2e3bbc0fab70dc">Get</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4d3c6ea5e2b95e4d7e45d6146c61c2ce">IsFixed</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01502" name="l01502"></a><span class="lineno"> 1502</span> </div>
<div class="line"><a id="l01503" name="l01503"></a><span class="lineno"> 1503</span> <span class="comment">// We first try to linerize the values encoding.</span></div>
<div class="line"><a id="l01504" name="l01504"></a><span class="lineno"> 1504</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad8ea8c0f170334873faaa68785e3c636">AppendRelaxationForEqualityEncoding</a>(</div>
<div class="line"><a id="l01505" name="l01505"></a><span class="lineno"> 1505</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, *m, &amp;relaxation, &amp;num_tight_equality_encoding_relaxations,</div>
<div class="line"><a id="l01506" name="l01506"></a><span class="lineno"> 1506</span> &amp;num_loose_equality_encoding_relaxations);</div>
<div class="line"><a id="l01507" name="l01507"></a><span class="lineno"> 1507</span> </div>
<div class="line"><a id="l01508" name="l01508"></a><span class="lineno"> 1508</span> <span class="comment">// The we try to linearize the inequality encoding. Note that on some</span></div>
<div class="line"><a id="l01509" name="l01509"></a><span class="lineno"> 1509</span> <span class="comment">// problem like pizza27i.mps.gz, adding both equality and inequality</span></div>
<div class="line"><a id="l01510" name="l01510"></a><span class="lineno"> 1510</span> <span class="comment">// encoding is a must.</span></div>
<div class="line"><a id="l01511" name="l01511"></a><span class="lineno"> 1511</span> <span class="comment">//</span></div>
<div class="line"><a id="l01512" name="l01512"></a><span class="lineno"> 1512</span> <span class="comment">// Even if the variable is fully encoded, sometimes not all its associated</span></div>
<div class="line"><a id="l01513" name="l01513"></a><span class="lineno"> 1513</span> <span class="comment">// literal have a view (if they are not part of the original model for</span></div>
<div class="line"><a id="l01514" name="l01514"></a><span class="lineno"> 1514</span> <span class="comment">// instance).</span></div>
<div class="line"><a id="l01515" name="l01515"></a><span class="lineno"> 1515</span> <span class="comment">//</span></div>
<div class="line"><a id="l01516" name="l01516"></a><span class="lineno"> 1516</span> <span class="comment">// TODO(user): Should we add them to the LP anyway? this isn&#39;t clear as</span></div>
<div class="line"><a id="l01517" name="l01517"></a><span class="lineno"> 1517</span> <span class="comment">// we can sometimes create a lot of Booleans like this.</span></div>
<div class="line"><a id="l01518" name="l01518"></a><span class="lineno"> 1518</span> <span class="keyword">const</span> <span class="keywordtype">int</span> old = relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size();</div>
<div class="line"><a id="l01519" name="l01519"></a><span class="lineno"> 1519</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f">AppendPartialGreaterThanEncodingRelaxation</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, *m, &amp;relaxation);</div>
<div class="line"><a id="l01520" name="l01520"></a><span class="lineno"> 1520</span> <span class="keywordflow">if</span> (relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size() &gt; old) {</div>
<div class="line"><a id="l01521" name="l01521"></a><span class="lineno"> 1521</span> ++num_inequality_encoding_relaxations;</div>
<div class="line"><a id="l01522" name="l01522"></a><span class="lineno"> 1522</span> }</div>
<div class="line"><a id="l01523" name="l01523"></a><span class="lineno"> 1523</span> }</div>
<div class="line"><a id="l01524" name="l01524"></a><span class="lineno"> 1524</span> </div>
<div class="line"><a id="l01525" name="l01525"></a><span class="lineno"> 1525</span> <span class="comment">// TODO(user): This is similar to AppendRelaxationForEqualityEncoding() above.</span></div>
<div class="line"><a id="l01526" name="l01526"></a><span class="lineno"> 1526</span> <span class="comment">// Investigate if we can merge the code.</span></div>
<div class="line"><a id="l01527" name="l01527"></a><span class="lineno"> 1527</span> <span class="keywordflow">if</span> (params.linearization_level() &gt;= 2) {</div>
<div class="line"><a id="l01528" name="l01528"></a><span class="lineno"> 1528</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb">AppendElementEncodingRelaxation</a>(<a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, m, &amp;relaxation);</div>
<div class="line"><a id="l01529" name="l01529"></a><span class="lineno"> 1529</span> }</div>
<div class="line"><a id="l01530" name="l01530"></a><span class="lineno"> 1530</span> </div>
<div class="line"><a id="l01531" name="l01531"></a><span class="lineno"> 1531</span> <span class="comment">// TODO(user): I am not sure this is still needed. Investigate and explain why</span></div>
<div class="line"><a id="l01532" name="l01532"></a><span class="lineno"> 1532</span> <span class="comment">// or remove.</span></div>
<div class="line"><a id="l01533" name="l01533"></a><span class="lineno"> 1533</span> <span class="keywordflow">if</span> (!m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_solver.html#a607d97ccada862073f297bc2d495124d">FinishPropagation</a>()) {</div>
<div class="line"><a id="l01534" name="l01534"></a><span class="lineno"> 1534</span> <span class="keywordflow">return</span> relaxation;</div>
<div class="line"><a id="l01535" name="l01535"></a><span class="lineno"> 1535</span> }</div>
<div class="line"><a id="l01536" name="l01536"></a><span class="lineno"> 1536</span> </div>
<div class="line"><a id="l01537" name="l01537"></a><span class="lineno"> 1537</span> <span class="comment">// We display the stats before linearizing the at most ones.</span></div>
<div class="line"><a id="l01538" name="l01538"></a><span class="lineno"> 1538</span> <span class="keyword">auto</span>* logger = m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1_solver_logger.html">SolverLogger</a>&gt;();</div>
<div class="line"><a id="l01539" name="l01539"></a><span class="lineno"> 1539</span> <span class="keywordflow">if</span> (num_tight_equality_encoding_relaxations != 0 ||</div>
<div class="line"><a id="l01540" name="l01540"></a><span class="lineno"> 1540</span> num_loose_equality_encoding_relaxations != 0 ||</div>
<div class="line"><a id="l01541" name="l01541"></a><span class="lineno"> 1541</span> num_inequality_encoding_relaxations != 0) {</div>
<div class="line"><a id="l01542" name="l01542"></a><span class="lineno"> 1542</span> <a class="code hl_define" href="util_2logging_8h.html#a5f67b653dd99ddbe5e3367e3b4b7b532">SOLVER_LOG</a>(logger,</div>
<div class="line"><a id="l01543" name="l01543"></a><span class="lineno"> 1543</span> <span class="stringliteral">&quot;[EncodingLinearRelaxation]&quot;</span></div>
<div class="line"><a id="l01544" name="l01544"></a><span class="lineno"> 1544</span> <span class="stringliteral">&quot; #tight_equality:&quot;</span>,</div>
<div class="line"><a id="l01545" name="l01545"></a><span class="lineno"> 1545</span> num_tight_equality_encoding_relaxations,</div>
<div class="line"><a id="l01546" name="l01546"></a><span class="lineno"> 1546</span> <span class="stringliteral">&quot; #loose_equality:&quot;</span>, num_loose_equality_encoding_relaxations,</div>
<div class="line"><a id="l01547" name="l01547"></a><span class="lineno"> 1547</span> <span class="stringliteral">&quot; #inequality:&quot;</span>, num_inequality_encoding_relaxations);</div>
<div class="line"><a id="l01548" name="l01548"></a><span class="lineno"> 1548</span> }</div>
<div class="line"><a id="l01549" name="l01549"></a><span class="lineno"> 1549</span> <span class="keywordflow">if</span> (!relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.empty() ||</div>
<div class="line"><a id="l01550" name="l01550"></a><span class="lineno"> 1550</span> !relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.empty()) {</div>
<div class="line"><a id="l01551" name="l01551"></a><span class="lineno"> 1551</span> <a class="code hl_define" href="util_2logging_8h.html#a5f67b653dd99ddbe5e3367e3b4b7b532">SOLVER_LOG</a>(logger,</div>
<div class="line"><a id="l01552" name="l01552"></a><span class="lineno"> 1552</span> <span class="stringliteral">&quot;[LinearRelaxationBeforeCliqueExpansion]&quot;</span></div>
<div class="line"><a id="l01553" name="l01553"></a><span class="lineno"> 1553</span> <span class="stringliteral">&quot; #linear:&quot;</span>,</div>
<div class="line"><a id="l01554" name="l01554"></a><span class="lineno"> 1554</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size(),</div>
<div class="line"><a id="l01555" name="l01555"></a><span class="lineno"> 1555</span> <span class="stringliteral">&quot; #at_most_ones:&quot;</span>, relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.size());</div>
<div class="line"><a id="l01556" name="l01556"></a><span class="lineno"> 1556</span> }</div>
<div class="line"><a id="l01557" name="l01557"></a><span class="lineno"> 1557</span> </div>
<div class="line"><a id="l01558" name="l01558"></a><span class="lineno"> 1558</span> <span class="comment">// Linearize the at most one constraints. Note that we transform them</span></div>
<div class="line"><a id="l01559" name="l01559"></a><span class="lineno"> 1559</span> <span class="comment">// into maximum &quot;at most one&quot; first and we removes redundant ones.</span></div>
<div class="line"><a id="l01560" name="l01560"></a><span class="lineno"> 1560</span> m-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">GetOrCreate</a>&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">BinaryImplicationGraph</a>&gt;()-&gt;TransformIntoMaxCliques(</div>
<div class="line"><a id="l01561" name="l01561"></a><span class="lineno"> 1561</span> &amp;relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>, params.merge_at_most_one_work_limit());</div>
<div class="line"><a id="l01562" name="l01562"></a><span class="lineno"> 1562</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; at_most_one : relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>) {</div>
<div class="line"><a id="l01563" name="l01563"></a><span class="lineno"> 1563</span> <span class="keywordflow">if</span> (at_most_one.empty()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01564" name="l01564"></a><span class="lineno"> 1564</span> </div>
<div class="line"><a id="l01565" name="l01565"></a><span class="lineno"> 1565</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(m, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, IntegerValue(1));</div>
<div class="line"><a id="l01566" name="l01566"></a><span class="lineno"> 1566</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : at_most_one) {</div>
<div class="line"><a id="l01567" name="l01567"></a><span class="lineno"> 1567</span> <span class="comment">// Note that it is okay to simply ignore the literal if it has no</span></div>
<div class="line"><a id="l01568" name="l01568"></a><span class="lineno"> 1568</span> <span class="comment">// integer view.</span></div>
<div class="line"><a id="l01569" name="l01569"></a><span class="lineno"> 1569</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> unused ABSL_ATTRIBUTE_UNUSED =</div>
<div class="line"><a id="l01570" name="l01570"></a><span class="lineno"> 1570</span> lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, IntegerValue(1));</div>
<div class="line"><a id="l01571" name="l01571"></a><span class="lineno"> 1571</span> }</div>
<div class="line"><a id="l01572" name="l01572"></a><span class="lineno"> 1572</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div>
<div class="line"><a id="l01573" name="l01573"></a><span class="lineno"> 1573</span> }</div>
<div class="line"><a id="l01574" name="l01574"></a><span class="lineno"> 1574</span> </div>
<div class="line"><a id="l01575" name="l01575"></a><span class="lineno"> 1575</span> <span class="comment">// We converted all at_most_one to LP constraints, so we need to clear them</span></div>
<div class="line"><a id="l01576" name="l01576"></a><span class="lineno"> 1576</span> <span class="comment">// so that we don&#39;t do extra work in the connected component computation.</span></div>
<div class="line"><a id="l01577" name="l01577"></a><span class="lineno"> 1577</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.clear();</div>
<div class="line"><a id="l01578" name="l01578"></a><span class="lineno"> 1578</span> </div>
<div class="line"><a id="l01579" name="l01579"></a><span class="lineno"> 1579</span> <span class="comment">// Remove size one LP constraints, they are not useful.</span></div>
<div class="line"><a id="l01580" name="l01580"></a><span class="lineno"> 1580</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.erase(</div>
<div class="line"><a id="l01581" name="l01581"></a><span class="lineno"> 1581</span> std::remove_if(</div>
<div class="line"><a id="l01582" name="l01582"></a><span class="lineno"> 1582</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.begin(),</div>
<div class="line"><a id="l01583" name="l01583"></a><span class="lineno"> 1583</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.end(),</div>
<div class="line"><a id="l01584" name="l01584"></a><span class="lineno"> 1584</span> [](<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; lc) { return lc.vars.size() &lt;= 1; }),</div>
<div class="line"><a id="l01585" name="l01585"></a><span class="lineno"> 1585</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.end());</div>
<div class="line"><a id="l01586" name="l01586"></a><span class="lineno"> 1586</span> </div>
<div class="line"><a id="l01587" name="l01587"></a><span class="lineno"> 1587</span> <span class="comment">// We add a clique cut generation over all Booleans of the problem.</span></div>
<div class="line"><a id="l01588" name="l01588"></a><span class="lineno"> 1588</span> <span class="comment">// Note that in practice this might regroup independent LP together.</span></div>
<div class="line"><a id="l01589" name="l01589"></a><span class="lineno"> 1589</span> <span class="comment">//</span></div>
<div class="line"><a id="l01590" name="l01590"></a><span class="lineno"> 1590</span> <span class="comment">// TODO(user): compute connected components of the original problem and</span></div>
<div class="line"><a id="l01591" name="l01591"></a><span class="lineno"> 1591</span> <span class="comment">// split these cuts accordingly.</span></div>
<div class="line"><a id="l01592" name="l01592"></a><span class="lineno"> 1592</span> <span class="keywordflow">if</span> (params.linearization_level() &gt; 1 &amp;&amp; params.add_clique_cuts()) {</div>
<div class="line"><a id="l01593" name="l01593"></a><span class="lineno"> 1593</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> builder(m);</div>
<div class="line"><a id="l01594" name="l01594"></a><span class="lineno"> 1594</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>.variables_size(); ++i) {</div>
<div class="line"><a id="l01595" name="l01595"></a><span class="lineno"> 1595</span> <span class="keywordflow">if</span> (!mapping-&gt;IsBoolean(i)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01596" name="l01596"></a><span class="lineno"> 1596</span> </div>
<div class="line"><a id="l01597" name="l01597"></a><span class="lineno"> 1597</span> <span class="comment">// Note that it is okay to simply ignore the literal if it has no</span></div>
<div class="line"><a id="l01598" name="l01598"></a><span class="lineno"> 1598</span> <span class="comment">// integer view.</span></div>
<div class="line"><a id="l01599" name="l01599"></a><span class="lineno"> 1599</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> unused ABSL_ATTRIBUTE_UNUSED =</div>
<div class="line"><a id="l01600" name="l01600"></a><span class="lineno"> 1600</span> builder.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping-&gt;Literal(i), IntegerValue(1));</div>
<div class="line"><a id="l01601" name="l01601"></a><span class="lineno"> 1601</span> }</div>
<div class="line"><a id="l01602" name="l01602"></a><span class="lineno"> 1602</span> </div>
<div class="line"><a id="l01603" name="l01603"></a><span class="lineno"> 1603</span> <span class="comment">// We add a generator touching all the variable in the builder.</span></div>
<div class="line"><a id="l01604" name="l01604"></a><span class="lineno"> 1604</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr = builder.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a96ececaa94026aaa3a46fb65df0a17a9">BuildExpression</a>();</div>
<div class="line"><a id="l01605" name="l01605"></a><span class="lineno"> 1605</span> <span class="keywordflow">if</span> (!expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.empty()) {</div>
<div class="line"><a id="l01606" name="l01606"></a><span class="lineno"> 1606</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div>
<div class="line"><a id="l01607" name="l01607"></a><span class="lineno"> 1607</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#adf176ac81e34e8fd124d823ee0033f1a">CreateCliqueCutGenerator</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, m));</div>
<div class="line"><a id="l01608" name="l01608"></a><span class="lineno"> 1608</span> }</div>
<div class="line"><a id="l01609" name="l01609"></a><span class="lineno"> 1609</span> }</div>
<div class="line"><a id="l01610" name="l01610"></a><span class="lineno"> 1610</span> </div>
<div class="line"><a id="l01611" name="l01611"></a><span class="lineno"> 1611</span> <span class="keywordflow">if</span> (!relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.empty() ||</div>
<div class="line"><a id="l01612" name="l01612"></a><span class="lineno"> 1612</span> !relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.empty()) {</div>
<div class="line"><a id="l01613" name="l01613"></a><span class="lineno"> 1613</span> <a class="code hl_define" href="util_2logging_8h.html#a5f67b653dd99ddbe5e3367e3b4b7b532">SOLVER_LOG</a>(logger,</div>
<div class="line"><a id="l01614" name="l01614"></a><span class="lineno"> 1614</span> <span class="stringliteral">&quot;[FinalLinearRelaxation]&quot;</span></div>
<div class="line"><a id="l01615" name="l01615"></a><span class="lineno"> 1615</span> <span class="stringliteral">&quot; #linear:&quot;</span>,</div>
<div class="line"><a id="l01616" name="l01616"></a><span class="lineno"> 1616</span> relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size(),</div>
<div class="line"><a id="l01617" name="l01617"></a><span class="lineno"> 1617</span> <span class="stringliteral">&quot; #cut_generators:&quot;</span>, relaxation.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.size());</div>
<div class="line"><a id="l01618" name="l01618"></a><span class="lineno"> 1618</span> }</div>
<div class="line"><a id="l01619" name="l01619"></a><span class="lineno"> 1619</span> </div>
<div class="line"><a id="l01620" name="l01620"></a><span class="lineno"> 1620</span> <span class="keywordflow">return</span> relaxation;</div>
<div class="line"><a id="l01621" name="l01621"></a><span class="lineno"> 1621</span>}</div>
<div class="line"><a id="l01622" name="l01622"></a><span class="lineno"> 1622</span> </div>
<div class="line"><a id="l01623" name="l01623"></a><span class="lineno"> 1623</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l01624" name="l01624"></a><span class="lineno"> 1624</span>} <span class="comment">// namespace operations_research</span></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
<div class="ttc" id="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00495">base/logging.h:495</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7cc25402ecd7591b4c39934dd656b1f9"><div class="ttname"><a href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a></div><div class="ttdeci">#define CHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00707">base/logging.h:707</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295"><div class="ttname"><a href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a></div><div class="ttdeci">#define DCHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00895">base/logging.h:895</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb"><div class="ttname"><a href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a></div><div class="ttdeci">#define CHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00704">base/logging.h:704</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ab4f56aa24c4c9cddc47a6abd2d747f9a"><div class="ttname"><a href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a></div><div class="ttdeci">#define DCHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00896">base/logging.h:896</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00984">base/logging.h:984</a></div></div>
<div class="ttc" id="acircuit_8h_html"><div class="ttname"><a href="circuit_8h.html">circuit.h</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_solver_logger_html"><div class="ttname"><a href="classoperations__research_1_1_solver_logger.html">operations_research::SolverLogger</a></div><div class="ttdef"><b>Definition:</b> <a href="util_2logging_8h_source.html#l00033">util/logging.h:33</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">operations_research::sat::BinaryImplicationGraph</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00457">clause.h:457</a></div></div>
<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__mapping_8h_source.html#l00066">cp_model_mapping.h:66</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cp_model_mapping_html_a619ceb25c10043ce5b356b1da14be385"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a619ceb25c10043ce5b356b1da14be385">operations_research::sat::CpModelMapping::Intervals</a></div><div class="ttdeci">std::vector&lt; IntervalVariable &gt; Intervals(const ProtoIndices &amp;indices) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__mapping_8h_source.html#l00133">cp_model_mapping.h:133</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cp_model_mapping_html_a877d019ee57a306f9dc8da11efcb4c82"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a877d019ee57a306f9dc8da11efcb4c82">operations_research::sat::CpModelMapping::Integer</a></div><div class="ttdeci">IntegerVariable Integer(int ref) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__mapping_8h_source.html#l00086">cp_model_mapping.h:86</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cp_model_mapping_html_af95d44da268450fcb634bb1ae3732527"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#af95d44da268450fcb634bb1ae3732527">operations_research::sat::CpModelMapping::Literals</a></div><div class="ttdeci">std::vector&lt; sat::Literal &gt; Literals(const ProtoIndices &amp;indices) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__mapping_8h_source.html#l00119">cp_model_mapping.h:119</a></div></div>
<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#l01228">integer.h:1228</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html">operations_research::sat::ImpliedBounds</a></div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00082">implied_bounds.h:82</a></div></div>
<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#l00362">integer.h:362</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_a9a9cf2e23271baad10b6e66f569049f0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">operations_research::sat::IntegerEncoder::FullDomainEncoding</a></div><div class="ttdeci">std::vector&lt; ValueLiteralPair &gt; FullDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00131">integer.cc:131</a></div></div>
<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#l00057">integer_expr.h:57</a></div></div>
<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#l00620">integer.h:620</a></div></div>
<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#l01453">integer.h:1453</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01449">integer.h:1449</a></div></div>
<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#l01534">integer.h:1534</a></div></div>
<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#l00643">integer.cc:643</a></div></div>
<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#l01529">integer.h:1529</a></div></div>
<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#l01445">integer.h:1445</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_intervals_repository_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_intervals_repository.html">operations_research::sat::IntervalsRepository</a></div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00050">intervals.h:50</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_intervals_repository_html_a47498392329550af590cc3f6d9dedbf5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_intervals_repository.html#a47498392329550af590cc3f6d9dedbf5">operations_research::sat::IntervalsRepository::MaxSize</a></div><div class="ttdeci">IntegerValue MaxSize(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00130">intervals.h:130</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_intervals_repository_html_a7a7a69d2e822ff3cb2e87d63811259c5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_intervals_repository.html#a7a7a69d2e822ff3cb2e87d63811259c5">operations_research::sat::IntervalsRepository::MinSize</a></div><div class="ttdeci">IntegerValue MinSize(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00125">intervals.h:125</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_intervals_repository_html_aa5689a9d7fc3cc9bc06004b77f5f1302"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa5689a9d7fc3cc9bc06004b77f5f1302">operations_research::sat::IntervalsRepository::IsPresent</a></div><div class="ttdeci">bool IsPresent(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00081">intervals.h:81</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_intervals_repository_html_aa57420b719d949fc4e8fec48c0c41dcc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_intervals_repository.html#aa57420b719d949fc4e8fec48c0c41dcc">operations_research::sat::IntervalsRepository::Size</a></div><div class="ttdeci">AffineExpression Size(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00097">intervals.h:97</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_intervals_repository_html_abb8083e4fc02516580d325852218bd1f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_intervals_repository.html#abb8083e4fc02516580d325852218bd1f">operations_research::sat::IntervalsRepository::IsAbsent</a></div><div class="ttdeci">bool IsAbsent(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00085">intervals.h:85</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00161">sat/linear_constraint.h:161</a></div></div>
<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#l00104">linear_constraint.cc:104</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a49e8e4a987d39f4da335e1ed287bb8ad"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">operations_research::sat::LinearConstraintBuilder::AddLinearExpression</a></div><div class="ttdeci">void AddLinearExpression(const LinearExpression &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00065">linear_constraint.cc:65</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a7e251202babf951363efedbd30af45c5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5">operations_research::sat::LinearConstraintBuilder::AddQuadraticLowerBound</a></div><div class="ttdeci">void AddQuadraticLowerBound(AffineExpression left, AffineExpression right, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00083">linear_constraint.cc:83</a></div></div>
<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#l00133">linear_constraint.cc:133</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a96ececaa94026aaa3a46fb65df0a17a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a96ececaa94026aaa3a46fb65df0a17a9">operations_research::sat::LinearConstraintBuilder::BuildExpression</a></div><div class="ttdeci">LinearExpression BuildExpression()</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00146">linear_constraint.cc:146</a></div></div>
<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#l00039">linear_constraint.cc:39</a></div></div>
<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#l00067">sat_base.h:67</a></div></div>
<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#l00071">sat_base.h:71</a></div></div>
<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#l00094">sat_base.h:94</a></div></div>
<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#l00042">sat/model.h:42</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html_a37eb53a23cb596ef5d2e3bbc0fab70dc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html#a37eb53a23cb596ef5d2e3bbc0fab70dc">operations_research::sat::Model::Get</a></div><div class="ttdeci">T Get(std::function&lt; T(const Model &amp;)&gt; f) const</div><div class="ttdoc">Similar to Add() but this is const.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00091">sat/model.h:91</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html_afb0c03e2a6201677c266f8a7eb77c2dc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html#afb0c03e2a6201677c266f8a7eb77c2dc">operations_research::sat::Model::GetOrCreate</a></div><div class="ttdeci">T * GetOrCreate()</div><div class="ttdoc">Returns an object of type T that is unique to this model (like a &quot;local&quot; singleton).</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00110">sat/model.h:110</a></div></div>
<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#l00061">sat_solver.h:61</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html_a607d97ccada862073f297bc2d495124d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#a607d97ccada862073f297bc2d495124d">operations_research::sat::SatSolver::FinishPropagation</a></div><div class="ttdeci">bool FinishPropagation()</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8cc_source.html#l00561">sat_solver.cc:561</a></div></div>
<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#l00376">sat_solver.h:376</a></div></div>
<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#l00176">intervals.h:177</a></div></div>
<div class="ttc" id="aclause_8h_html"><div class="ttname"><a href="clause_8h.html">clause.h</a></div></div>
<div class="ttc" id="acp__model__mapping_8h_html"><div class="ttname"><a href="cp__model__mapping_8h.html">cp_model_mapping.h</a></div></div>
<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#l02048">cp_model_solver.cc:2048</a></div></div>
<div class="ttc" id="acp__model__utils_8h_html"><div class="ttname"><a href="cp__model__utils_8h.html">cp_model_utils.h</a></div></div>
<div class="ttc" id="acuts_8h_html"><div class="ttname"><a href="cuts_8h.html">cuts.h</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_a05da18ca9c7b657a4a6ea24e07c9b695"><div class="ttname"><a href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a></div><div class="ttdeci">const Constraint * ct</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00137">gscip_solver.cc:137</a></div></div>
<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#l00274">gurobi_interface.cc:274</a></div></div>
<div class="ttc" id="aimplied__bounds_8h_html"><div class="ttname"><a href="implied__bounds_8h.html">implied_bounds.h</a></div></div>
<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
<div class="ttc" id="ainteger__expr_8h_html"><div class="ttname"><a href="integer__expr_8h.html">integer_expr.h</a></div></div>
<div class="ttc" id="aintervals_8h_html"><div class="ttname"><a href="intervals_8h.html">intervals.h</a></div></div>
<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>
<div class="ttc" id="alinear__relaxation_8h_html"><div class="ttname"><a href="linear__relaxation_8h.html">linear_relaxation.h</a></div></div>
<div class="ttc" id="alocal__search_8cc_html_a30b5726116ac85ea64777e5d6e333894"><div class="ttname"><a href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a></div><div class="ttdeci">int arc</div><div class="ttdef"><b>Definition:</b> <a href="local__search_8cc_source.html#l02751">local_search.cc:2751</a></div></div>
<div class="ttc" id="alocal__search_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="local__search_8cc_source.html#l02750">local_search.cc:2750</a></div></div>
<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 &amp;less_func)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00058">stl_util.h:58</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a018f1d29220c1b0d75024dcb5a82b883"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883">operations_research::sat::AddCumulativeCutGenerator</a></div><div class="ttdeci">void AddCumulativeCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01259">linear_relaxation.cc:1259</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a04d3913888ed0b200c1d1fa879c62804"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a04d3913888ed0b200c1d1fa879c62804">operations_research::sat::CreateCumulativeEnergyCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeEnergyCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const AffineExpression &amp;capacity, const std::vector&lt; AffineExpression &gt; &amp;demands, const std::vector&lt; LinearExpression &gt; &amp;energies, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00463">scheduling_cuts.cc:463</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a050c9f843d5f82c4cf6e958a4062e5a7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a050c9f843d5f82c4cf6e958a4062e5a7">operations_research::sat::NewIntegerVariableFromLiteral</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewIntegerVariableFromLiteral(Literal lit)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01640">integer.h:1640</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a0a5fb77a89e69aa0f99f00187dbdd798"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0a5fb77a89e69aa0f99f00187dbdd798">operations_research::sat::CreateCVRPCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCVRPCutGenerator(int num_nodes, const std::vector&lt; int &gt; &amp;tails, const std::vector&lt; int &gt; &amp;heads, const std::vector&lt; Literal &gt; &amp;literals, const std::vector&lt; int64_t &gt; &amp;demands, int64_t capacity, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02660">linear_programming_constraint.cc:2660</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a0c1099fcb640b53078dba0e5b9bcd2ce"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0c1099fcb640b53078dba0e5b9bcd2ce">operations_research::sat::CreateNoOverlap2dEnergyCutGenerator</a></div><div class="ttdeci">CutGenerator CreateNoOverlap2dEnergyCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;x_intervals, const std::vector&lt; IntervalVariable &gt; &amp;y_intervals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00649">scheduling_cuts.cc:649</a></div></div>
<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&lt; IntegerValue::ValueType &gt;::max() - 1)</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a12d2d24c73fef12818b04df8d5cc368f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f">operations_research::sat::AppendLinMaxRelaxationPart1</a></div><div class="ttdeci">void AppendLinMaxRelaxationPart1(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00820">linear_relaxation.cc:820</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a14b7bbca8fef62918577fe4618090e66"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66">operations_research::sat::AppendBoolOrRelaxation</a></div><div class="ttdeci">void AppendBoolOrRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00407">linear_relaxation.cc:407</a></div></div>
<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 &amp;expr, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00363">linear_constraint.cc:363</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a18fe82932180e2e3bac0fbdf957f01a0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a18fe82932180e2e3bac0fbdf957f01a0">operations_research::sat::CreateNoOverlapCompletionTimeCutGenerator</a></div><div class="ttdeci">CutGenerator CreateNoOverlapCompletionTimeCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l01181">scheduling_cuts.cc:1181</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1ccfd912c87b8ca68a7fe0d62d7f49bc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc">operations_research::sat::TryToLinearizeConstraint</a></div><div class="ttdeci">void TryToLinearizeConstraint(const CpModelProto &amp;model_proto, const ConstraintProto &amp;ct, int linearization_level, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01025">linear_relaxation.cc:1025</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1d2e012cbcaa63d84ac6dd637d0e1238"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1d2e012cbcaa63d84ac6dd637d0e1238">operations_research::sat::AppendFullEncodingRelaxation</a></div><div class="ttdeci">bool AppendFullEncodingRelaxation(IntegerVariable var, const Model &amp;model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00053">linear_relaxation.cc:53</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a217338425de4389014563f1f24331713"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">operations_research::sat::RefIsPositive</a></div><div class="ttdeci">bool RefIsPositive(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00036">cp_model_utils.h:36</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a23849eabdcf8e9f6f90e7aa05b298dc9"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a23849eabdcf8e9f6f90e7aa05b298dc9">operations_research::sat::CreateNoOverlapPrecedenceCutGenerator</a></div><div class="ttdeci">CutGenerator CreateNoOverlapPrecedenceCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00960">scheduling_cuts.cc:960</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a25553837a2eba1b1fbb5ac0eac64ad15"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a25553837a2eba1b1fbb5ac0eac64ad15">operations_research::sat::CreateAllDifferentCutGenerator</a></div><div class="ttdeci">CutGenerator CreateAllDifferentCutGenerator(const std::vector&lt; AffineExpression &gt; &amp;exprs, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01876">cuts.cc:1876</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2c9b8bc7ebfcbcfea8022b92afe3f2aa"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa">operations_research::sat::AppendNoOverlapRelaxation</a></div><div class="ttdeci">void AppendNoOverlapRelaxation(const CpModelProto &amp;model_proto, const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00735">linear_relaxation.cc:735</a></div></div>
<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>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2e13273db243ecd0a444852de48bd929"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929">operations_research::sat::AddMaxAffineCutGenerator</a></div><div class="ttdeci">void AddMaxAffineCutGenerator(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00860">linear_relaxation.cc:860</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2fb5c8becc9eccba39bc8aab4fb4d80e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2fb5c8becc9eccba39bc8aab4fb4d80e">operations_research::sat::AddCumulativeRelaxation</a></div><div class="ttdeci">void AddCumulativeRelaxation(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const std::vector&lt; AffineExpression &gt; &amp;demands, const std::vector&lt; LinearExpression &gt; &amp;energies, IntegerValue capacity_upper_bound, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00618">linear_relaxation.cc:618</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a305feb6370d1048b959ea498bb2f391b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b">operations_research::sat::AppendAtMostOneRelaxation</a></div><div class="ttdeci">void AppendAtMostOneRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00453">linear_relaxation.cc:453</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3396948941651349892572b564bc29e6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6">operations_research::sat::AppendCumulativeRelaxation</a></div><div class="ttdeci">void AppendCumulativeRelaxation(const CpModelProto &amp;model_proto, const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00706">linear_relaxation.cc:706</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3ad49ae9019c528851f6fd084479a567"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3ad49ae9019c528851f6fd084479a567">operations_research::sat::LowerBound</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; LowerBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01663">integer.h:1663</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3bb33b0ea560d1818c283bacd4b3838e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e">operations_research::sat::AddNoOverlapCutGenerator</a></div><div class="ttdeci">void AddNoOverlapCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01310">linear_relaxation.cc:1310</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3cb95842130bc03177260ad20464bdbf"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">operations_research::sat::NewBooleanVariable</a></div><div class="ttdeci">std::function&lt; BooleanVariable(Model *)&gt; NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01608">integer.h:1608</a></div></div>
<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 &amp;ct)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00039">cp_model_utils.h:39</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a47064139cec9b2ea520361ee30f0f243"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a47064139cec9b2ea520361ee30f0f243">operations_research::sat::LinearizeInnerProduct</a></div><div class="ttdeci">void LinearizeInnerProduct(const std::vector&lt; AffineExpression &gt; &amp;left, const std::vector&lt; AffineExpression &gt; &amp;right, Model *model, std::vector&lt; LinearExpression &gt; *energies)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00461">implied_bounds.cc:461</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4d3c6ea5e2b95e4d7e45d6146c61c2ce"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4d3c6ea5e2b95e4d7e45d6146c61c2ce">operations_research::sat::IsFixed</a></div><div class="ttdeci">std::function&lt; bool(const Model &amp;)&gt; IsFixed(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01675">integer.h:1675</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4ff205ed5a074bbe499b1fa20da1dd9b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">operations_research::sat::PositiveVarExpr</a></div><div class="ttdeci">LinearExpression PositiveVarExpr(const LinearExpression &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00419">linear_constraint.cc:419</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a507bc1fac620b6d08f573ae738141bd9"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a507bc1fac620b6d08f573ae738141bd9">operations_research::sat::NewInterval</a></div><div class="ttdeci">std::function&lt; IntervalVariable(Model *)&gt; NewInterval(int64_t min_start, int64_t max_end, int64_t size)</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00669">intervals.h:669</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5316808a2d5007c3b489e844801385e5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue.value())</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a53d4cc6dea5adf2353b4af43bc1bb2f0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0">operations_research::sat::AppendBoolAndRelaxation</a></div><div class="ttdeci">void AppendBoolAndRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00421">linear_relaxation.cc:421</a></div></div>
<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>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5df2c2953d660d96c11967cd903a55fe"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe">operations_research::sat::AppendLinearConstraintRelaxation</a></div><div class="ttdeci">void AppendLinearConstraintRelaxation(const ConstraintProto &amp;ct, bool linearize_enforced_constraints, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00951">linear_relaxation.cc:951</a></div></div>
<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 &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00348">linear_constraint.cc:348</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a6acf605cd9a3d72b8e33e8d145c07da5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5">operations_research::sat::AddNoOverlap2dCutGenerator</a></div><div class="ttdeci">void AddNoOverlap2dCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01338">linear_relaxation.cc:1338</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a6b12eb18e7becd3da4eda60b61182f95"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a6b12eb18e7becd3da4eda60b61182f95">operations_research::sat::CreateCumulativeTimeTableCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeTimeTableCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const AffineExpression &amp;capacity, const std::vector&lt; AffineExpression &gt; &amp;demands, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00740">scheduling_cuts.cc:740</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a750b06e478ba967ec89e70fb3fa7394a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a750b06e478ba967ec89e70fb3fa7394a">operations_research::sat::AddIntProdCutGenerator</a></div><div class="ttdeci">void AddIntProdCutGenerator(const ConstraintProto &amp;ct, int linearization_level, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01171">linear_relaxation.cc:1171</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7545a11562b86718d401f1aeb5781c2a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a">operations_research::sat::AddCircuitCutGenerator</a></div><div class="ttdeci">void AddCircuitCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01131">linear_relaxation.cc:1131</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7bd8a488b0a7ee7905bdab4c5984bd70"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7bd8a488b0a7ee7905bdab4c5984bd70">operations_research::sat::CreateNoOverlap2dCompletionTimeCutGenerator</a></div><div class="ttdeci">CutGenerator CreateNoOverlap2dCompletionTimeCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;x_intervals, const std::vector&lt; IntervalVariable &gt; &amp;y_intervals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l01303">scheduling_cuts.cc:1303</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7ca9c8d3f9284a57a274895d29add611"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7ca9c8d3f9284a57a274895d29add611">operations_research::sat::NewOptionalInterval</a></div><div class="ttdeci">std::function&lt; IntervalVariable(Model *)&gt; NewOptionalInterval(int64_t min_start, int64_t max_end, int64_t size, Literal is_present)</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00699">intervals.h:699</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7f1ac774d4646a83631f8117f4ea03f5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">operations_research::sat::PositiveVariable</a></div><div class="ttdeci">IntegerVariable PositiveVariable(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00149">integer.h:149</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7fea62548e11ae728e506874f767bdd3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7fea62548e11ae728e506874f767bdd3">operations_research::sat::CreateLinMaxCutGenerator</a></div><div class="ttdeci">CutGenerator CreateLinMaxCutGenerator(const IntegerVariable target, const std::vector&lt; LinearExpression &gt; &amp;exprs, const std::vector&lt; IntegerVariable &gt; &amp;z_vars, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01985">cuts.cc:1985</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a86a16fa3180f4ebc8ac36c16a2b49fac"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a86a16fa3180f4ebc8ac36c16a2b49fac">operations_research::sat::CreatePositiveMultiplicationCutGenerator</a></div><div class="ttdeci">CutGenerator CreatePositiveMultiplicationCutGenerator(AffineExpression z, AffineExpression x, AffineExpression y, int linearization_level, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01358">cuts.cc:1358</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a87f6694cfc0f549668a974462118f99e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e">operations_research::sat::AppendMaxAffineRelaxation</a></div><div class="ttdeci">void AppendMaxAffineRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00842">linear_relaxation.cc:842</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a88fabb0f851ff07d459b8be401162601"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a88fabb0f851ff07d459b8be401162601">operations_research::sat::BuildMaxAffineUpConstraint</a></div><div class="ttdeci">LinearConstraint BuildMaxAffineUpConstraint(const LinearExpression &amp;target, IntegerVariable var, const std::vector&lt; std::pair&lt; IntegerValue, IntegerValue &gt; &gt; &amp;affines, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l02069">cuts.cc:2069</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8b2517dbe721a55849b77267941df8d1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1">operations_research::sat::AppendExactlyOneRelaxation</a></div><div class="ttdeci">void AppendExactlyOneRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00462">linear_relaxation.cc:462</a></div></div>
<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 &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00434">linear_constraint.cc:434</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8d19e8d5e074feb1e673e585b3a04266"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8d19e8d5e074feb1e673e585b3a04266">operations_research::sat::DetectLinearEncodingOfProducts</a></div><div class="ttdeci">bool DetectLinearEncodingOfProducts(const AffineExpression &amp;left, const AffineExpression &amp;right, Model *model, LinearConstraintBuilder *builder)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00337">implied_bounds.cc:337</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8f4f9889ab3527ce5381ed32e2fae25a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8f4f9889ab3527ce5381ed32e2fae25a">operations_research::sat::ReindexArcs</a></div><div class="ttdeci">int ReindexArcs(IntContainer *tails, IntContainer *heads)</div><div class="ttdef"><b>Definition:</b> <a href="circuit_8h_source.html#l00170">circuit.h:170</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a91e92ebb8d6c8bd62ae597625f443427"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a91e92ebb8d6c8bd62ae597625f443427">operations_research::sat::CreateSquareCutGenerator</a></div><div class="ttdeci">CutGenerator CreateSquareCutGenerator(AffineExpression y, AffineExpression x, int linearization_level, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01452">cuts.cc:1452</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a938790a385e658a61d53843b6bb5dfd6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6">operations_research::sat::CreateAlternativeLiteralsWithView</a></div><div class="ttdeci">std::vector&lt; Literal &gt; CreateAlternativeLiteralsWithView(int num_literals, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00483">linear_relaxation.cc:483</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a9e815eb2193f1bb6903274c7f0859cd7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a9e815eb2193f1bb6903274c7f0859cd7">operations_research::sat::UpperBound</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; UpperBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01669">integer.h:1669</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa052156cdbdd391d5c0284628bfa2ebb"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb">operations_research::sat::AppendElementEncodingRelaxation</a></div><div class="ttdeci">void AppendElementEncodingRelaxation(const CpModelProto &amp;model_proto, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01433">linear_relaxation.cc:1433</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa4529cf0e90f927c1d7005c3cc4b70c5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5">operations_research::sat::AppendCircuitRelaxation</a></div><div class="ttdeci">void AppendCircuitRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00524">linear_relaxation.cc:524</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aac7919596b8f8087a558d3d4d6430d00"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aac7919596b8f8087a558d3d4d6430d00">operations_research::sat::CreateCumulativeCompletionTimeCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeCompletionTimeCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const AffineExpression &amp;capacity, const std::vector&lt; AffineExpression &gt; &amp;demands, const std::vector&lt; LinearExpression &gt; &amp;energies, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l01231">scheduling_cuts.cc:1231</a></div></div>
<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&lt; IntegerVariable &gt; NegationOf(const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00047">integer.cc:47</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab186c7ad5f0930615f096f56e1499d30"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">operations_research::sat::NewIntegerVariable</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewIntegerVariable(int64_t lb, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01622">integer.h:1622</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab4a9f371c11b989199cb8e867d05d813"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813">operations_research::sat::AddAllDiffCutGenerator</a></div><div class="ttdeci">void AddAllDiffCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01222">linear_relaxation.cc:1222</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab62fb8f885a68c653b586424aa5863c8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab62fb8f885a68c653b586424aa5863c8">operations_research::sat::CreateNoOverlapEnergyCutGenerator</a></div><div class="ttdeci">CutGenerator CreateNoOverlapEnergyCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00528">scheduling_cuts.cc:528</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab782d6f91aefca5ee81c3b622e862875"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab782d6f91aefca5ee81c3b622e862875">operations_research::sat::CreateMaxAffineCutGenerator</a></div><div class="ttdeci">CutGenerator CreateMaxAffineCutGenerator(LinearExpression target, IntegerVariable var, std::vector&lt; std::pair&lt; IntegerValue, IntegerValue &gt; &gt; affines, const std::string cut_name, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l02105">cuts.cc:2105</a></div></div>
<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&lt; void(Model *)&gt; SpanOfIntervals(IntervalVariable span, const std::vector&lt; IntervalVariable &gt; &amp;intervals)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__constraints_8cc_source.html#l00319">scheduling_constraints.cc:319</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_abc92e600d7a70f5525d8c2998008a136"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#abc92e600d7a70f5525d8c2998008a136">operations_research::sat::IntervalIsVariable</a></div><div class="ttdeci">bool IntervalIsVariable(const IntervalVariable interval, IntervalsRepository *intervals_repository)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01238">linear_relaxation.cc:1238</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac17bc38e4e32fb15f01b0346eb6d0d70"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70">operations_research::sat::AddLinMaxCutGenerator</a></div><div class="ttdeci">void AddLinMaxCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01383">linear_relaxation.cc:1383</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac2091b9e5e6e887337a566d5ca547234"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234">operations_research::sat::AppendRoutesRelaxation</a></div><div class="ttdeci">void AppendRoutesRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00565">linear_relaxation.cc:565</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac8570d5d120d42444fded60c841c6616"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac8570d5d120d42444fded60c841c6616">operations_research::sat::CreateCumulativePrecedenceCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativePrecedenceCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const AffineExpression &amp;capacity, const std::vector&lt; AffineExpression &gt; &amp;demands, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00915">scheduling_cuts.cc:915</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_accfda9e32067da0a88da8e325cf39c7c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#accfda9e32067da0a88da8e325cf39c7c">operations_research::sat::ExactlyOneConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ExactlyOneConstraint(const std::vector&lt; Literal &gt; &amp;literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00907">sat_solver.h:907</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acdadae230cef47ac321c22a5a880a85f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acdadae230cef47ac321c22a5a880a85f">operations_research::sat::AppendNoOverlap2dRelaxation</a></div><div class="ttdeci">void AppendNoOverlap2dRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00750">linear_relaxation.cc:750</a></div></div>
<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#l00035">cp_model_utils.h:35</a></div></div>
<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 &amp;expr, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00373">linear_constraint.cc:373</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad8ea8c0f170334873faaa68785e3c636"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad8ea8c0f170334873faaa68785e3c636">operations_research::sat::AppendRelaxationForEqualityEncoding</a></div><div class="ttdeci">void AppendRelaxationForEqualityEncoding(IntegerVariable var, const Model &amp;model, LinearRelaxation *relaxation, int *num_tight, int *num_loose)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00171">linear_relaxation.cc:171</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_adf176ac81e34e8fd124d823ee0033f1a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#adf176ac81e34e8fd124d823ee0033f1a">operations_research::sat::CreateCliqueCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCliqueCutGenerator(const std::vector&lt; IntegerVariable &gt; &amp;base_variables, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l02127">cuts.cc:2127</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae0803b8198728cd4f6e58498d9c60091"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">operations_research::sat::NegatedRef</a></div><div class="ttdeci">int NegatedRef(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00034">cp_model_utils.h:34</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae2544d2a3a5ef4c78f8e5891f104ab41"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">operations_research::sat::VariableIsPositive</a></div><div class="ttdeci">bool VariableIsPositive(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00145">integer.h:145</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae9204d7e95002b030bdc1cff7bb9bc83"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83">operations_research::sat::AddRoutesCutGenerator</a></div><div class="ttdeci">void AddRoutesCutGenerator(const ConstraintProto &amp;ct, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01145">linear_relaxation.cc:1145</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae9e5d88686fd52d3bd1a89d7754ca18c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">operations_research::sat::CreateStronglyConnectedGraphCutGenerator</a></div><div class="ttdeci">CutGenerator CreateStronglyConnectedGraphCutGenerator(int num_nodes, const std::vector&lt; int &gt; &amp;tails, const std::vector&lt; int &gt; &amp;heads, const std::vector&lt; Literal &gt; &amp;literals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02643">linear_programming_constraint.cc:2643</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_af68ee38b3d32ecb81072b0cc4d28226b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af68ee38b3d32ecb81072b0cc4d28226b">operations_research::sat::ComputeLinearRelaxation</a></div><div class="ttdeci">LinearRelaxation ComputeLinearRelaxation(const CpModelProto &amp;model_proto, Model *m)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01481">linear_relaxation.cc:1481</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_afceeea6ad3cc4cb2a78315be297824f3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3">operations_research::sat::AppendLinMaxRelaxationPart2</a></div><div class="ttdeci">void AppendLinMaxRelaxationPart2(IntegerVariable target, const std::vector&lt; Literal &gt; &amp;alternative_literals, const std::vector&lt; LinearExpression &gt; &amp;exprs, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00884">linear_relaxation.cc:884</a></div></div>
<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 &amp;model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00277">linear_relaxation.cc:277</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_a4a43d435871f16c321861fa5de32df82"><div class="ttname"><a href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">operations_research::CapSub</a></div><div class="ttdeci">int64_t CapSub(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00158">saturated_arithmetic.h:158</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_aa64bf49d041052c7cb3f40f7496d7534"><div class="ttname"><a href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">operations_research::CapProd</a></div><div class="ttdeci">int64_t CapProd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00235">saturated_arithmetic.h:235</a></div></div>
<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#l00089">optimization.cc:89</a></div></div>
<div class="ttc" id="aresource_8cc_html_af12056bc2a8e3ec563f0940d87abbd2e"><div class="ttname"><a href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a></div><div class="ttdeci">int64_t delta</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l01694">resource.cc:1694</a></div></div>
<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#l00100">resource.cc:100</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_a2acb49f4df5288066c43610bede123ec"><div class="ttname"><a href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a></div><div class="ttdeci">int64_t capacity</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00151">routing_flow.cc:151</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_a64e7efc5529154ba56903e75f5300990"><div class="ttname"><a href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a></div><div class="ttdeci">int64_t tail</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00149">routing_flow.cc:149</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_afca32f65388659a4b0956496169488b4"><div class="ttname"><a href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a></div><div class="ttdeci">int64_t head</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00150">routing_flow.cc:150</a></div></div>
<div class="ttc" id="asat_2linear__constraint_8h_html"><div class="ttname"><a href="sat_2linear__constraint_8h.html">linear_constraint.h</a></div></div>
<div class="ttc" id="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
<div class="ttc" id="asat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
<div class="ttc" id="asat__solver_8h_html"><div class="ttname"><a href="sat__solver_8h.html">sat_solver.h</a></div></div>
<div class="ttc" id="asaturated__arithmetic_8h_html"><div class="ttname"><a href="saturated__arithmetic_8h.html">saturated_arithmetic.h</a></div></div>
<div class="ttc" id="ascheduling__constraints_8h_html"><div class="ttname"><a href="scheduling__constraints_8h.html">scheduling_constraints.h</a></div></div>
<div class="ttc" id="ascheduling__cuts_8h_html"><div class="ttname"><a href="scheduling__cuts_8h.html">scheduling_cuts.h</a></div></div>
<div class="ttc" id="astl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
<div class="ttc" id="astrong__integers_8h_html"><div class="ttname"><a href="strong__integers_8h.html">strong_integers.h</a></div></div>
<div class="ttc" id="astrong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html">operations_research::sat::AffineExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00233">integer.h:233</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_a19bff44fb82e19c55a4da7fe9aa38a86"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">operations_research::sat::AffineExpression::Negated</a></div><div class="ttdeci">AffineExpression Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00258">integer.h:258</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00041">sat/linear_constraint.h:41</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00096">sat/linear_constraint.h:96</a></div></div>
<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&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00098">sat/linear_constraint.h:98</a></div></div>
<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&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00097">sat/linear_constraint.h:97</a></div></div>
<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#l00031">linear_relaxation.h:31</a></div></div>
<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&lt; std::vector&lt; Literal &gt; &gt; at_most_ones</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00033">linear_relaxation.h:33</a></div></div>
<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&lt; LinearConstraint &gt; linear_constraints</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00032">linear_relaxation.h:32</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_relaxation_html_ae6fdc05264dc58e553116fe3d9dbe236"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">operations_research::sat::LinearRelaxation::cut_generators</a></div><div class="ttdeci">std::vector&lt; CutGenerator &gt; cut_generators</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00034">linear_relaxation.h:34</a></div></div>
<div class="ttc" id="autil_2logging_8h_html"><div class="ttname"><a href="util_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="autil_2logging_8h_html_a5f67b653dd99ddbe5e3367e3b4b7b532"><div class="ttname"><a href="util_2logging_8h.html#a5f67b653dd99ddbe5e3367e3b4b7b532">SOLVER_LOG</a></div><div class="ttdeci">#define SOLVER_LOG(logger,...)</div><div class="ttdef"><b>Definition:</b> <a href="util_2logging_8h_source.html#l00069">util/logging.h:69</a></div></div>
<div class="ttc" id="avariable__and__expressions_8cc_html_a2091cd7d80fdd31762020bce86138587"><div class="ttname"><a href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a></div><div class="ttdeci">const double coeff</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00105">variable_and_expressions.cc:105</a></div></div>
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