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<a href="linear__relaxation_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="linear__relaxation_8h.html">ortools/sat/linear_relaxation.h</a>&quot;</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;cstdint&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_set.h&quot;</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="iterator__adaptors_8h.html">ortools/base/iterator_adaptors.h</a>&quot;</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<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 name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="cp__model_8pb_8h.html">ortools/sat/cp_model.pb.h</a>&quot;</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<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 name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="cuts_8h.html">ortools/sat/cuts.h</a>&quot;</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="implied__bounds_8h.html">ortools/sat/implied_bounds.h</a>&quot;</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integer__expr_8h.html">ortools/sat/integer_expr.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat_2linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="linear__programming__constraint_8h.html">ortools/sat/linear_programming_constraint.h</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat__parameters_8pb_8h.html">ortools/sat/sat_parameters.pb.h</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<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 name="l00036"></a><span class="lineno"> 36</span>&#160;<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 name="l00037"></a><span class="lineno"> 37</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="keyword">namespace </span>sat {</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b"> 41</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b">AppendFullEncodingRelaxation</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <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 name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">if</span> (!encoder-&gt;VariableIsFullyEncoded(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>&amp; encoding = encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#aa0a8be7c97692d0b4fdb2f13ba303f36">FullDomainEncoding</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keyword">const</span> IntegerValue var_min = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code" href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, var_min, var_min);</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="comment">// Create the constraint if all literal have a view.</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; std::vector&lt;Literal&gt; at_most_one;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = value_literal.literal;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keyword">const</span> IntegerValue <a class="code" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a> = value_literal.value - var_min;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <a class="code" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(<a class="code" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>, IntegerValue(0));</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; at_most_one.push_back(lit);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">if</span> (!at_least_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1))) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a> != IntegerValue(0)) {</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordflow">if</span> (!encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, -<a class="code" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; }</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; }</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; relaxation-&gt;<a class="code" 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 name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;}</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="keyword">namespace </span>{</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="comment">// TODO(user): Not super efficient.</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;std::pair&lt;IntegerValue, IntegerValue&gt; GetMinAndMaxNotEncoded(</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keyword">const</span> absl::flat_hash_set&lt;IntegerValue&gt;&amp; encoded_values,</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keyword">const</span> Model&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>* domains = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;IntegerDomains&gt;();</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">if</span> (domains == <span class="keyword">nullptr</span> || <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> &gt;= domains-&gt;size()) {</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordflow">return</span> {<a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>};</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; }</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="comment">// The domain can be large, but the list of values shouldn&#39;t, so this</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="comment">// runs in O(encoded_values.size());</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; IntegerValue <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> int64_t v : (*domains)[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].Values()) {</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">if</span> (!encoded_values.contains(IntegerValue(v))) {</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a> = IntegerValue(v);</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; }</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; }</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; IntegerValue <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>&amp; domain = (*domains)[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = domain.NumIntervals() - 1; i &gt;= 0; --i) {</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keyword">const</span> ClosedInterval <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a> = domain[i];</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordflow">for</span> (IntegerValue v(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>.end); v &gt;= <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>.start; --v) {</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordflow">if</span> (!encoded_values.contains(v)) {</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> = v;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; }</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; }</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> != <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) <span class="keywordflow">break</span>;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; }</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordflow">return</span> {<a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a>, <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a>};</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;}</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="keywordtype">bool</span> LinMaxContainsOnlyOneVarInExpressions(<span class="keyword">const</span> ConstraintProto&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case(), ConstraintProto::ConstraintCase::kLinMax);</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordtype">int</span> current_var = -1;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> LinearExpressionProto&amp; expr : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs()) {</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keywordflow">if</span> (expr.vars().empty()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <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 name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#acdbc8ad33149d45a6e6fcd8b72fd68ed">PositiveRef</a>(expr.vars(0));</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keywordflow">if</span> (current_var == -1) {</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; current_var = <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> != current_var) {</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; }</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; }</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;}</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="keywordtype">bool</span> IntMaxIsIntAbs(<span class="keyword">const</span> ConstraintProto&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() != ConstraintProto::ConstraintCase::kIntMax ||</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().vars_size() != 2) {</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; }</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordflow">return</span> <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().vars(0) == <a class="code" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().vars(1));</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;}</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="comment">// Collect all the affines expressions in a LinMax constraint.</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="comment">// It checks that these are indeed affine expressions, and that they all share</span></div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="comment">// the same variable.</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="comment">// It returns the shared variable, as well as a vector of pairs</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="comment">// (coefficient, offset) when each affine is coefficient * shared_var + offset.</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="keywordtype">void</span> CollectAffineExpressionWithSingleVariable(</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keyword">const</span> ConstraintProto&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, CpModelMapping* mapping, IntegerVariable* <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt;* affines) {</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(LinMaxContainsOnlyOneVarInExpressions(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>));</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case(), ConstraintProto::ConstraintCase::kLinMax);</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; *<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; affines-&gt;clear();</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> LinearExpressionProto&amp; expr : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs()) {</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordflow">if</span> (expr.vars().empty()) {</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; affines-&gt;push_back({IntegerValue(0), IntegerValue(expr.offset())});</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(expr.vars().size(), 1);</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">const</span> IntegerVariable affine_var = mapping-&gt;Integer(expr.vars(0));</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordflow">if</span> (*<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; *<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(affine_var);</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; }</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(affine_var)) {</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(affine_var, *<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; affines-&gt;push_back(</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; {IntegerValue(expr.coeffs(0)), IntegerValue(expr.offset())});</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(affine_var), *<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; affines-&gt;push_back(</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; {IntegerValue(-expr.coeffs(0)), IntegerValue(expr.offset())});</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; }</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; }</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; }</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;}</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;} <span class="comment">// namespace</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;</div><div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1"> 173</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1">AppendPartialEncodingRelaxation</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <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 name="l00178"></a><span class="lineno"> 178</span>&#160;</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerEncoder::ValueLiteralPair&gt;&amp; encoding =</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; encoder-&gt;PartialDomainEncoding(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordflow">if</span> (encoding.empty()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; std::vector&lt;Literal&gt; at_most_one_ct;</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; absl::flat_hash_set&lt;IntegerValue&gt; encoded_values;</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> = value_literal.literal;</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="comment">// Note that we skip pairs that do not have an Integer view.</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keywordflow">if</span> (encoder-&gt;GetLiteralView(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>) == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> &amp;&amp;</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; encoder-&gt;GetLiteralView(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()) == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; }</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; at_most_one_ct.push_back(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>);</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; encoded_values.insert(value_literal.value);</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; }</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keywordflow">if</span> (encoded_values.empty()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="comment">// TODO(user): The PartialDomainEncoding() function automatically exclude</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="comment">// values that are no longer in the initial domain, so we could be a bit</span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="comment">// tighter here. That said, this is supposed to be called just after the</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="comment">// presolve, so it shouldn&#39;t really matter.</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> pair = GetMinAndMaxNotEncoded(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, encoded_values, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keywordflow">if</span> (pair.first == <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="comment">// TODO(user): try to remove the duplication with</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="comment">// AppendFullEncodingRelaxation()? actually I am not sure we need the other</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <span class="comment">// function since this one is just more general.</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> exactly_one_ct(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; IntegerValue(1));</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> encoding_ct(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0),</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; IntegerValue(0));</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = value_literal.literal;</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(exactly_one_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(-value_literal.value)));</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; }</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(exactly_one_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(encoding_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; }</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="comment">// min + sum li * (xi - min) &lt;= var.</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <span class="keyword">const</span> IntegerValue d_min = pair.first;</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lower_bound_ct(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, d_min, <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; lower_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lower_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; d_min - value_literal.value));</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; }</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="comment">// var &lt;= max + sum li * (xi - max).</span></div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keyword">const</span> IntegerValue d_max = pair.second;</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> upper_bound_ct(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, d_max);</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; upper_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> value_literal : encoding) {</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(upper_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(value_literal.literal,</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; d_max - value_literal.value));</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; }</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="comment">// Note that empty/trivial constraints will be filtered later.</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(at_most_one_ct);</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lower_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(upper_bound_ct.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;}</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;</div><div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f"> 248</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f">AppendPartialGreaterThanEncodingRelaxation</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <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 name="l00254"></a><span class="lineno"> 254</span>&#160;</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="keyword">const</span> std::map&lt;IntegerValue, Literal&gt;&amp; greater_than_encoding =</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; encoder-&gt;PartialGreaterThanEncoding(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="keywordflow">if</span> (greater_than_encoding.empty()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160;</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="comment">// Start by the var &gt;= side.</span></div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="comment">// And also add the implications between used literals.</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; {</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; IntegerValue prev_used_bound = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lb_constraint(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, prev_used_bound,</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; LiteralIndex prev_literal_index = <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>;</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : greater_than_encoding) {</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="keywordflow">if</span> (entry.first &lt;= prev_used_bound) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="keyword">const</span> LiteralIndex literal_index = entry.second.Index();</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="keyword">const</span> IntegerValue diff = prev_used_bound - entry.first;</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="comment">// Skip the entry if the literal doesn&#39;t have a view.</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="keywordflow">if</span> (!lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(entry.second, diff)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keywordflow">if</span> (prev_literal_index != <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>) {</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <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 name="l00277"></a><span class="lineno"> 277</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; {<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(literal_index), <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(prev_literal_index).<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()});</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; }</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; prev_used_bound = entry.first;</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; prev_literal_index = literal_index;</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; }</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; }</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="comment">// Do the same for the var &lt;= side by using NegationOfVar().</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <span class="comment">// Note that we do not need to add the implications between literals again.</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; {</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; IntegerValue prev_used_bound = integer_trail-&gt;LowerBound(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lb_constraint(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, prev_used_bound,</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(-1));</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry :</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; encoder-&gt;PartialGreaterThanEncoding(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))) {</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <span class="keywordflow">if</span> (entry.first &lt;= prev_used_bound) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; <span class="keyword">const</span> IntegerValue diff = prev_used_bound - entry.first;</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <span class="comment">// Skip the entry if the literal doesn&#39;t have a view.</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <span class="keywordflow">if</span> (!lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(entry.second, diff)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; prev_used_bound = entry.first;</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; }</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lb_constraint.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; }</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;}</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="keyword">namespace </span>{</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;<span class="comment">// Adds enforcing_lit =&gt; target &lt;= bounding_var to relaxation.</span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160;<span class="keywordtype">void</span> AppendEnforcedUpperBound(<span class="keyword">const</span> Literal enforcing_lit,</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <span class="keyword">const</span> IntegerVariable target,</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="keyword">const</span> IntegerVariable bounding_var, Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; LinearRelaxation* relaxation) {</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; IntegerTrail* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;IntegerTrail&gt;();</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="keyword">const</span> IntegerValue max_target_value = integer_trail-&gt;UpperBound(target);</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keyword">const</span> IntegerValue min_var_value = integer_trail-&gt;LowerBound(bounding_var);</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="keyword">const</span> IntegerValue max_term_value = max_target_value - min_var_value;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; LinearConstraintBuilder lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, max_term_value);</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; lc.AddTerm(target, IntegerValue(1));</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; lc.AddTerm(bounding_var, IntegerValue(-1));</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(enforcing_lit, max_term_value));</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; relaxation-&gt;linear_constraints.push_back(lc.Build());</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;}</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160;</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="comment">// Adds {enforcing_lits} =&gt; rhs_domain_min &lt;= expr &lt;= rhs_domain_max.</span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160;<span class="comment">// Requires expr offset to be 0.</span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;<span class="keywordtype">void</span> AppendEnforcedLinearExpression(</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcing_literals,</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="keyword">const</span> LinearExpression&amp; expr, <span class="keyword">const</span> IntegerValue rhs_domain_min,</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="keyword">const</span> IntegerValue rhs_domain_max, <span class="keyword">const</span> Model&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; LinearRelaxation* relaxation) {</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(expr.offset, IntegerValue(0));</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="keyword">const</span> LinearExpression canonical_expr = <a class="code" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">CanonicalizeExpr</a>(expr);</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <span class="keyword">const</span> IntegerTrail* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;IntegerTrail&gt;();</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="keyword">const</span> IntegerValue min_expr_value =</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(canonical_expr, *integer_trail);</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordflow">if</span> (rhs_domain_min &gt; min_expr_value) {</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="comment">// And(ei) =&gt; terms &gt;= rhs_domain_min</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="comment">// &lt;=&gt; Sum_i (~ei * (rhs_domain_min - min_expr_value)) + terms &gt;=</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="comment">// rhs_domain_min</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; LinearConstraintBuilder lc(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs_domain_min, <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal&amp; <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcing_literals) {</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(),</div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; rhs_domain_min - min_expr_value));</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; }</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; canonical_expr.vars.size(); i++) {</div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; lc.AddTerm(canonical_expr.vars[i], canonical_expr.coeffs[i]);</div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; }</div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; relaxation-&gt;linear_constraints.push_back(lc.Build());</div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; }</div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <span class="keyword">const</span> IntegerValue max_expr_value =</div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(canonical_expr, *integer_trail);</div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; <span class="keywordflow">if</span> (rhs_domain_max &lt; max_expr_value) {</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; <span class="comment">// And(ei) =&gt; terms &lt;= rhs_domain_max</span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; <span class="comment">// &lt;=&gt; Sum_i (~ei * (rhs_domain_max - max_expr_value)) + terms &lt;=</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; <span class="comment">// rhs_domain_max</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; LinearConstraintBuilder lc(&amp;<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, rhs_domain_max);</div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal&amp; <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcing_literals) {</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(),</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; rhs_domain_max - max_expr_value));</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; }</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; canonical_expr.vars.size(); i++) {</div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; lc.AddTerm(canonical_expr.vars[i], canonical_expr.coeffs[i]);</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; }</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; relaxation-&gt;linear_constraints.push_back(lc.Build());</div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; }</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;}</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160;<span class="keywordtype">bool</span> AllLiteralsHaveViews(<span class="keyword">const</span> IntegerEncoder&amp; encoder,</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals) {</div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal lit : literals) {</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <span class="keywordflow">if</span> (!encoder.LiteralOrNegationHasView(lit)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; }</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;}</div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160;</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160;} <span class="comment">// namespace</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160;</div><div class="line"><a name="l00378"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66"> 378</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66">AppendBoolOrRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(mapping-&gt;Literal(<a class="code" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(enforcement_ref)),</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; IntegerValue(1)));</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; }</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_or().literals()) {</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.AddLiteralTerm(mapping-&gt;Literal(ref), IntegerValue(1)));</div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; }</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.Build());</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160;}</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160;</div><div class="line"><a name="l00392"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0"> 392</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0">AppendBoolAndRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; <span class="comment">// TODO(user): These constraints can be many, and if they are not regrouped</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; <span class="comment">// in big at most ones, then they should probably only added lazily as cuts.</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; <span class="comment">// Regroup this with future clique-cut separation logic.</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160;</div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal().size() == 1) {</div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> enforcement = mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal(0));</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals()) {</div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; {enforcement, mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(ref).Negated()});</div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; }</div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; }</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160;</div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="comment">// Andi(e_i) =&gt; Andj(x_j)</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; <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 name="l00411"></a><span class="lineno"> 411</span>&#160; <span class="keywordtype">int</span> num_literals = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals_size();</div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(num_literals),</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.bool_and().literals()) {</div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code" 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 name="l00416"></a><span class="lineno"> 416</span>&#160; }</div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(mapping-&gt;Literal(<a class="code" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(enforcement_ref)),</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; IntegerValue(num_literals)));</div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; }</div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;}</div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;</div><div class="line"><a name="l00424"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b"> 424</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b">AppendAtMostOneRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160;</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(</div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; mapping-&gt;Literals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.at_most_one().literals()));</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160;}</div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160;</div><div class="line"><a name="l00433"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1"> 433</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1">AppendExactlyOneRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;</div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt; literals =</div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; mapping-&gt;Literals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.exactly_one().literals());</div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; <span class="keywordflow">if</span> (AllLiteralsHaveViews(*encoder, literals)) {</div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), IntegerValue(1));</div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit : literals) {</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; }</div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; <span class="comment">// We just encode the at most one part that might be partially linearized</span></div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; <span class="comment">// later.</span></div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(literals);</div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; }</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;}</div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160;</div><div class="line"><a name="l00454"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6"> 454</a></span>&#160;std::vector&lt;Literal&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6">CreateAlternativeLiteralsWithView</a>(</div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; <span class="keywordtype">int</span> num_literals, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; <span class="keyword">auto</span>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;</div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; <span class="keywordflow">if</span> (num_literals == 1) {</div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; <span class="comment">// This is not supposed to happen, but it is easy enough to cover, just</span></div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; <span class="comment">// in case. We might however want to use encoder-&gt;GetTrueLiteral().</span></div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(1, 1));</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit =</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; encoder-&gt;GetOrCreateLiteralAssociatedToEquality(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <span class="keywordflow">return</span> {lit};</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; }</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160;</div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160; <span class="keywordflow">if</span> (num_literals == 2) {</div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(0, 1));</div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit =</div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; encoder-&gt;GetOrCreateLiteralAssociatedToEquality(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;</div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <span class="comment">// TODO(user): We shouldn&#39;t need to create this view ideally. Even better,</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160; <span class="comment">// we should be able to handle Literal natively in the linear relaxation,</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; <span class="comment">// but that is a lot of work.</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; <span class="keyword">const</span> IntegerVariable var2 = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(0, 1));</div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; encoder-&gt;AssociateToIntegerEqualValue(lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(), var2, IntegerValue(1));</div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160;</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; <span class="keywordflow">return</span> {lit, lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()};</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; }</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160;</div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; std::vector&lt;Literal&gt; literals;</div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc_builder(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1), IntegerValue(1));</div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_literals; ++i) {</div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(0, 1));</div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit =</div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; encoder-&gt;GetOrCreateLiteralAssociatedToEquality(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; literals.push_back(lit);</div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc_builder.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, IntegerValue(1)));</div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; }</div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">ExactlyOneConstraint</a>(literals));</div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc_builder.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; <span class="keywordflow">return</span> literals;</div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160;}</div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160;</div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;<span class="keyword">namespace </span>{</div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160;</div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;<span class="keywordtype">void</span> AddIntMaxLowerRelaxation(IntegerVariable target,</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, LinearRelaxation* relaxation) {</div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; <span class="comment">// Case X = max(X_1, X_2, ..., X_N)</span></div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; <span class="comment">// Part 1: Encode X &gt;= max(X_1, X_2, ..., X_N)</span></div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; <span class="comment">// This deal with the corner case X = max(X, Y, Z, ..) !</span></div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160; <span class="comment">// Note that this can be presolved into X &gt;= Y, X &gt;= Z, ...</span></div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; <span class="keywordflow">if</span> (target == <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; LinearConstraintBuilder lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; lc.AddTerm(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; lc.AddTerm(target, IntegerValue(-1));</div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; relaxation-&gt;linear_constraints.push_back(lc.Build());</div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; }</div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160;}</div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;</div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160;<span class="keywordtype">void</span> AddIntAbsUpperRelaxation(IntegerVariable target, IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, LinearRelaxation* relaxation) {</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; LinearExpression target_expr;</div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; target_expr.vars.push_back(target);</div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; target_expr.coeffs.push_back(IntegerValue(1));</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <span class="keyword">const</span> std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt; affines = {</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; {IntegerValue(1), IntegerValue(0)}, {IntegerValue(-1), IntegerValue(0)}};</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; relaxation-&gt;linear_constraints.push_back(</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#acde4c26d1c621dd069c060649152f5a7">BuildMaxAffineUpConstraint</a>(target_expr, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, affines, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>));</div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160;}</div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160;</div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160;<span class="keywordtype">void</span> AddIntMaxUpperRelaxation(IntegerVariable target,</div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, LinearRelaxation* relaxation) {</div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="comment">// For each X_i, we encode l_i =&gt; X &lt;= X_i. And at least one of the l_i is</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <span class="comment">// true. Note that the correct y_i will be chosen because of the first part in</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; <span class="comment">// linearlization (X &gt;= X_i).</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; GenericLiteralWatcher* watcher = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;GenericLiteralWatcher&gt;();</div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; std::vector&lt;Literal&gt; literals =</div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6">CreateAlternativeLiteralsWithView</a>(vars.size(), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; vars.size(); ++i) {</div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <span class="comment">// TODO(user): Only lower bound is needed, experiment.</span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; <span class="comment">// TODO(user): It makes more sense to use ConditionalLowerOrEqual()</span></div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; <span class="comment">// here since only the lower bounding is needed, but that degrades perf on</span></div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; <span class="comment">// the road*.fzn problem. Understand why.</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160; AppendEnforcedUpperBound(literals[i], target, vars[i], <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160; IntegerSumLE* upper_bound_constraint = <span class="keyword">new</span> IntegerSumLE(</div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; {literals[i]}, {target, vars[i]}, {IntegerValue(1), IntegerValue(-1)},</div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; IntegerValue(0), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; upper_bound_constraint-&gt;RegisterWith(watcher);</div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(upper_bound_constraint);</div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; }</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160;}</div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160;</div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160;} <span class="comment">// namespace</span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;</div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160;<span class="comment">// Adds linearization of int max constraints. This can also be used to linearize</span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160;<span class="comment">// int min with negated variables.</span></div><div class="line"><a name="l00552"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac5b14d2bd73645b629f45c44317a5b4e"> 552</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ac5b14d2bd73645b629f45c44317a5b4e">AppendIntMaxRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <span class="keywordtype">int</span> linearization_level,</div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160;</div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; <span class="keyword">const</span> IntegerVariable target = mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a877d019ee57a306f9dc8da11efcb4c82">Integer</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().target());</div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt; vars =</div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; mapping-&gt;Integers(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().vars());</div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160;</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; AddIntMaxLowerRelaxation(target, vars, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; <span class="keywordflow">if</span> (IntMaxIsIntAbs(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <span class="comment">// TODO(user): consider support for int_abs encoded using int_min.</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; AddIntAbsUpperRelaxation(target, <a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(vars[0]), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; relaxation);</div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; AddIntMaxUpperRelaxation(target, vars, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; }</div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160;}</div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160;</div><div class="line"><a name="l00571"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5"> 571</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5">AppendCircuitRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_arcs = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals_size();</div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails_size());</div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads_size());</div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160;</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; <span class="comment">// Each node must have exactly one incoming and one outgoing arc (note</span></div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; <span class="comment">// that it can be the unique self-arc of this node too).</span></div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; std::map&lt;int, std::vector&lt;Literal&gt;&gt; incoming_arc_constraints;</div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; std::map&lt;int, std::vector&lt;Literal&gt;&gt; outgoing_arc_constraints;</div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_arcs; i++) {</div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> arc = mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals(i));</div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a> = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails(i);</div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a> = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads(i);</div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160;</div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <span class="comment">// Make sure this literal has a view.</span></div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">NewIntegerVariableFromLiteral</a>(arc));</div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; outgoing_arc_constraints[<a class="code" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>].push_back(arc);</div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; incoming_arc_constraints[<a class="code" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>].push_back(arc);</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160; }</div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>* node_map :</div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; {&amp;outgoing_arc_constraints, &amp;incoming_arc_constraints}) {</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; entry : *node_map) {</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; exactly_one = entry.second;</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="keywordflow">if</span> (exactly_one.size() &gt; 1) {</div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one_lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : exactly_one) {</div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(at_least_one_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(l, IntegerValue(1)));</div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160; }</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;</div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; <span class="comment">// We separate the two constraints.</span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(exactly_one);</div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; }</div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; }</div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160; }</div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160;}</div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160;</div><div class="line"><a name="l00612"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234"> 612</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234">AppendRoutesRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_arcs = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().literals_size();</div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails_size());</div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_arcs, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads_size());</div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;</div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; <span class="comment">// Each node except node zero must have exactly one incoming and one outgoing</span></div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; <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 name="l00622"></a><span class="lineno"> 622</span>&#160; <span class="comment">// zero, the number of incoming arcs should be the same as the number of</span></div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; <span class="comment">// outgoing arcs.</span></div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; std::map&lt;int, std::vector&lt;Literal&gt;&gt; incoming_arc_constraints;</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; std::map&lt;int, std::vector&lt;Literal&gt;&gt; outgoing_arc_constraints;</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_arcs; i++) {</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> arc = mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a03f5ae0ce9819070959d97a8ba3fafeb">Literal</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().literals(i));</div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a> = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails(i);</div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a> = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads(i);</div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160;</div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; <span class="comment">// Make sure this literal has a view.</span></div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">NewIntegerVariableFromLiteral</a>(arc));</div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; outgoing_arc_constraints[<a class="code" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>].push_back(arc);</div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; incoming_arc_constraints[<a class="code" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>].push_back(arc);</div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; }</div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>* node_map :</div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; {&amp;outgoing_arc_constraints, &amp;incoming_arc_constraints}) {</div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; entry : *node_map) {</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; <span class="keywordflow">if</span> (entry.first == 0) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; exactly_one = entry.second;</div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; <span class="keywordflow">if</span> (exactly_one.size() &gt; 1) {</div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> at_least_one_lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(1),</div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : exactly_one) {</div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(at_least_one_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(l, IntegerValue(1)));</div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; }</div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160;</div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <span class="comment">// We separate the two constraints.</span></div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.push_back(exactly_one);</div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(at_least_one_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160; }</div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; }</div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; }</div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> zero_node_balance_lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0),</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; IntegerValue(0));</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>&amp; incoming_arc : incoming_arc_constraints[0]) {</div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(zero_node_balance_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(incoming_arc, IntegerValue(1)));</div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; }</div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>&amp; outgoing_arc : outgoing_arc_constraints[0]) {</div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(zero_node_balance_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(outgoing_arc, IntegerValue(-1)));</div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; }</div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(zero_node_balance_lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160;}</div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160;</div><div class="line"><a name="l00665"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5f9a5fb599bce0a25848485d9b5033a0"> 665</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5f9a5fb599bce0a25848485d9b5033a0">AppendIntervalRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; <span class="comment">// If the interval is using views, then the linear equation is already</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; <span class="comment">// present in the model.</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().has_start_view()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160;</div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="keyword">const</span> IntegerVariable start = mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a877d019ee57a306f9dc8da11efcb4c82">Integer</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().start());</div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="keyword">const</span> IntegerVariable size = mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().size());</div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="keyword">const</span> IntegerVariable end = mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.interval().end());</div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="keyword">const</span> <span class="keywordtype">bool</span> size_is_fixed = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(size);</div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; <span class="keyword">const</span> IntegerValue rhs =</div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; size_is_fixed ? -integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(size) : IntegerValue(0);</div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs, rhs);</div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(start, IntegerValue(1));</div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <span class="keywordflow">if</span> (!size_is_fixed) {</div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(size, IntegerValue(1));</div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; }</div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(end, IntegerValue(-1));</div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> tmp_lc = lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>();</div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr;</div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; AppendEnforcedLinearExpression(mapping-&gt;Literals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()),</div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; expr, tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, tmp_lc.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, *<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160; relaxation);</div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160; }</div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160;}</div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160;</div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160;<span class="comment">// TODO(user): Use affine demand.</span></div><div class="line"><a name="l00699"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1bb693c38267c476fc60dd81d6d5b076"> 699</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#adceead2704b0f70717a819957d97450f">AddCumulativeRelaxation</a>(<span class="keyword">const</span> std::vector&lt;IntervalVariable&gt;&amp; intervals,</div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; demands,</div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; <span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; energies,</div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; IntegerValue capacity_upper_bound, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; <span class="comment">// TODO(user): Keep a map intervals -&gt; helper, or ct_index-&gt;helper to avoid</span></div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="comment">// creating many helpers for the same constraint.</span></div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; <span class="keyword">auto</span>* helper = <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">SchedulingConstraintHelper</a>(intervals, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(helper);</div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_intervals = helper-&gt;NumTasks();</div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160;</div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160;</div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160; IntegerValue min_of_starts = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; IntegerValue max_of_ends = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160;</div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; <span class="keywordtype">int</span> num_variable_sizes = 0;</div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; <span class="keywordtype">int</span> num_optionals = 0;</div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160;</div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = 0; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &lt; num_intervals; ++<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) {</div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; min_of_starts = <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(min_of_starts, helper-&gt;StartMin(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; max_of_ends = <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(max_of_ends, helper-&gt;EndMax(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160;</div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; <span class="keywordflow">if</span> (helper-&gt;IsOptional(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>)) {</div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160; num_optionals++;</div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; }</div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160;</div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; <span class="keywordflow">if</span> (!helper-&gt;SizeIsFixed(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) ||</div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; (!demands.empty() &amp;&amp; !integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]))) {</div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; num_variable_sizes++;</div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; }</div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; }</div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160;</div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <a class="code" 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 name="l00733"></a><span class="lineno"> 733</span>&#160; &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 name="l00734"></a><span class="lineno"> 734</span>&#160; &lt;&lt; <span class="stringliteral">&quot; variable size intervals out of &quot;</span> &lt;&lt; num_intervals</div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; &lt;&lt; <span class="stringliteral">&quot; intervals&quot;</span>;</div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160;</div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="keywordflow">if</span> (num_variable_sizes + num_optionals == 0) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160;</div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160; <span class="keyword">const</span> IntegerVariable span_start =</div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_of_starts, max_of_ends);</div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; <span class="keyword">const</span> IntegerVariable span_size = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(</div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; IntegerValue(0), max_of_ends - min_of_starts);</div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; <span class="keyword">const</span> IntegerVariable span_end =</div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_of_starts, max_of_ends);</div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160;</div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; IntervalVariable span_var;</div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; <span class="keywordflow">if</span> (num_optionals &lt; num_intervals) {</div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160; span_var = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a17cd7e2195387f2b39aab8ce18b3147a">NewInterval</a>(span_start, span_end, span_size));</div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> span_lit = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; span_var = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(</div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ad1e6dcf4509b3739c208979e13ef7371">NewOptionalInterval</a>(span_start, span_end, span_size, span_lit));</div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160; }</div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160;</div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#ac25154306cf957b6c39ba28d15924a20">SpanOfIntervals</a>(span_var, intervals));</div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160;</div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(span_size, -capacity_upper_bound);</div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_intervals; ++i) {</div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; <span class="keyword">const</span> IntegerValue demand_lower_bound =</div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; demands.empty() ? IntegerValue(1)</div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; : integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(demands[i]);</div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160; <span class="keyword">const</span> <span class="keywordtype">bool</span> demand_is_fixed =</div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; demands.empty() || integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(demands[i]);</div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; <span class="keywordflow">if</span> (!helper-&gt;IsOptional(i)) {</div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; <span class="keywordflow">if</span> (demand_is_fixed) {</div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; lc.<a class="code" 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 name="l00768"></a><span class="lineno"> 768</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!helper-&gt;SizeIsFixed(i) &amp;&amp; !energies.empty()) {</div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; <span class="comment">// We prefer the energy additional info instead of the McCormick</span></div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; <span class="comment">// relaxation.</span></div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(energies[i]);</div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; lc.<a class="code" 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 name="l00774"></a><span class="lineno"> 774</span>&#160; integer_trail);</div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160; }</div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160; <span class="keywordflow">if</span> (!lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(helper-&gt;PresenceLiteral(i),</div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160; helper-&gt;SizeMin(i) * demand_lower_bound)) {</div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; }</div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; }</div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; }</div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160;}</div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160;</div><div class="line"><a name="l00786"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6"> 786</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6">AppendCumulativeRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>&amp; <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_cumulative());</div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160;</div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt; demands =</div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160; mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a29dc0991abf59a6d30c457b2de0f8e0b">Integers</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().demands());</div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160; std::vector&lt;IntervalVariable&gt; intervals =</div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160; mapping-&gt;Intervals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().intervals());</div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160; <span class="keyword">const</span> IntegerValue capacity_upper_bound =</div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code" href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c">UpperBound</a>(</div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().capacity()));</div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; std::vector&lt;LinearExpression&gt; energies;</div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160; energies.reserve(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().energies_size());</div><div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().energies_size(); ++i) {</div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160; <span class="comment">// Note: Cut generator requires all expressions to contain only positive</span></div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160; <span class="comment">// vars.</span></div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160; energies.push_back(mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().energies(i)));</div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160; }</div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160;</div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#adceead2704b0f70717a819957d97450f">AddCumulativeRelaxation</a>(intervals, demands, energies, capacity_upper_bound,</div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160;}</div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160;</div><div class="line"><a name="l00812"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa"> 812</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa">AppendNoOverlapRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>&amp; <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.has_no_overlap());</div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160;</div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160; std::vector&lt;IntervalVariable&gt; intervals =</div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160; mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a39bcc12f6eb31e15986f6a824e9bae8c">Intervals</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap().intervals());</div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#adceead2704b0f70717a819957d97450f">AddCumulativeRelaxation</a>(intervals, <span class="comment">/*demands=*/</span>{}, <span class="comment">/*energies=*/</span>{},</div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160; <span class="comment">/*capacity_upper_bound=*/</span>IntegerValue(1), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; relaxation);</div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160;}</div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160;</div><div class="line"><a name="l00826"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f"> 826</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f">AppendLinMaxRelaxationPart1</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160;</div><div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160; <span class="comment">// We want to linearize target = max(exprs[1], exprs[2], ..., exprs[d]).</span></div><div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160; <span class="comment">// Part 1: Encode target &gt;= max(exprs[1], exprs[2], ..., exprs[d])</span></div><div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> negated_target =</div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target()));</div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs_size(); ++i) {</div><div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr =</div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs(i));</div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(negated_target);</div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(expr);</div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; }</div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160;}</div><div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160;</div><div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160;<span class="comment">// TODO(user): experiment with:</span></div><div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160;<span class="comment">// 1) remove this code</span></div><div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160;<span class="comment">// 2) keep this code</span></div><div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160;<span class="comment">// 3) remove this code and create the cut generator at level 1.</span></div><div class="line"><a name="l00848"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e"> 848</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e">AppendMaxAffineRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160; std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt; affines;</div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160; CollectAffineExpressionWithSingleVariable(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, mapping, &amp;<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, &amp;affines);</div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> ||</div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; }</div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160;</div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> target_expr =</div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target()));</div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(</div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#acde4c26d1c621dd069c060649152f5a7">BuildMaxAffineUpConstraint</a>(target_expr, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, affines, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>));</div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160;}</div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160;</div><div class="line"><a name="l00866"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929"> 866</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929">AddMaxAffineCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160; std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt; affines;</div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160; CollectAffineExpressionWithSingleVariable(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, mapping, &amp;<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, &amp;affines);</div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> ||</div><div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div><div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160; }</div><div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160;</div><div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(1, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().vars_size());</div><div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> target_expr =</div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target()));</div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code" href="namespaceoperations__research_1_1sat.html#a7a8afb81fc298cbb167472a33887eb1a">CreateMaxAffineCutGenerator</a>(</div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160; target_expr, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, affines, <span class="stringliteral">&quot;AffineMax&quot;</span>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>));</div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160;}</div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160;</div><div class="line"><a name="l00884"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#abf560e20a8040f2dc09e6755823fecc5"> 884</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#abf560e20a8040f2dc09e6755823fecc5">AddIntAbsCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> =</div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().vars(0)));</div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160;</div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> target_expr;</div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160; target_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_max().target()));</div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160; target_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(1));</div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="keyword">const</span> std::vector&lt;std::pair&lt;IntegerValue, IntegerValue&gt;&gt; affines = {</div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; {IntegerValue(1), IntegerValue(0)}, {IntegerValue(-1), IntegerValue(0)}};</div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160;</div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a7a8afb81fc298cbb167472a33887eb1a">CreateMaxAffineCutGenerator</a>(target_expr, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, affines, <span class="stringliteral">&quot;IntAbs&quot;</span>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>));</div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160;}</div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160;</div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160;<span class="comment">// Part 2: Encode upper bound on X.</span></div><div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160;<span class="comment">// Add linking constraint to the CP solver</span></div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;<span class="comment">// sum zi = 1 and for all i, zi =&gt; max = expr_i.</span></div><div class="line"><a name="l00904"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3"> 904</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3">AppendLinMaxRelaxationPart2</a>(</div><div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160; IntegerVariable target, <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; alternative_literals,</div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160; <span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; exprs, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_exprs = exprs.size();</div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;();</div><div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;</div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160; <span class="comment">// First add the CP constraints.</span></div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> local_expr;</div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160; local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(exprs[i].vars);</div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160; local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(target);</div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160; local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = exprs[i].coeffs;</div><div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160; local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(1));</div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> =</div><div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160; <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>({alternative_literals[i]}, local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>,</div><div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160; local_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>, exprs[i].offset, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160; <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>-&gt;RegisterWith(watcher);</div><div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(<a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160; }</div><div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160;</div><div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160; <span class="comment">// For the relaxation, we use different constraints with a stronger linear</span></div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; <span class="comment">// relaxation as explained in the .h</span></div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160; <span class="comment">// TODO(user): Consider passing the x_vars to this method instead of</span></div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160; <span class="comment">// computing it here.</span></div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160; std::vector&lt;IntegerVariable&gt; x_vars;</div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160; x_vars.insert(x_vars.end(), exprs[i].vars.begin(), exprs[i].vars.end());</div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160; }</div><div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160; <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&amp;x_vars);</div><div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160;</div><div class="line"><a name="l00936"></a><span class="lineno"> 936</span>&#160; <span class="comment">// All expressions should only contain positive variables.</span></div><div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(std::all_of(x_vars.begin(), x_vars.end(), [](IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160; <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160; }));</div><div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160;</div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160; std::vector&lt;std::vector&lt;IntegerValue&gt;&gt; sum_of_max_corner_diff(</div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160; num_exprs, std::vector&lt;IntegerValue&gt;(num_exprs, IntegerValue(0)));</div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;</div><div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div><div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_exprs; ++j) {</div><div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160; <span class="keywordflow">if</span> (i == j) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable x_var : x_vars) {</div><div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160; <span class="keyword">const</span> IntegerValue lb = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x_var);</div><div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160; <span class="keyword">const</span> IntegerValue ub = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(x_var);</div><div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160; <span class="keyword">const</span> IntegerValue diff =</div><div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(x_var, exprs[j]) - <a class="code" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(x_var, exprs[i]);</div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160; sum_of_max_corner_diff[i][j] += <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(diff * lb, diff * ub);</div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160; }</div><div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160; }</div><div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160; }</div><div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_exprs; ++i) {</div><div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(0));</div><div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(1));</div><div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; exprs[i].vars.size(); ++j) {</div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(exprs[i].vars[j], -exprs[i].coeffs[j]);</div><div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160; }</div><div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_exprs; ++j) {</div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(alternative_literals[j],</div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160; -exprs[j].offset - sum_of_max_corner_diff[i][j]));</div><div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160; }</div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160; }</div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;}</div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160;</div><div class="line"><a name="l00971"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe"> 971</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe">AppendLinearConstraintRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>,</div><div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160; <span class="keywordtype">bool</span> linearize_enforced_constraints,</div><div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160; <span class="keyword">auto</span>* mapping = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160;</div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160; <span class="comment">// Note that we ignore the holes in the domain.</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160; <span class="comment">// TODO(user): In LoadLinearConstraint() we already created intermediate</span></div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160; <span class="comment">// Booleans for each disjoint interval, we should reuse them here if</span></div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160; <span class="comment">// possible.</span></div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160; <span class="comment">// TODO(user): process the &quot;at most one&quot; part of a == 1 separately?</span></div><div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160; <span class="keyword">const</span> IntegerValue rhs_domain_min = IntegerValue(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().domain(0));</div><div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160; <span class="keyword">const</span> IntegerValue rhs_domain_max =</div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160; IntegerValue(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().domain(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().domain_size() - 1));</div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160; <span class="keywordflow">if</span> (rhs_domain_min == <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits&lt;int64_t&gt;::min</a>() &amp;&amp;</div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160; rhs_domain_max == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>())</div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;</div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, rhs_domain_min, rhs_domain_max);</div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size(); i++) {</div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> ref = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars(i);</div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160; <span class="keyword">const</span> int64_t coeff = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().coeffs(i);</div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(mapping-&gt;Integer(ref), IntegerValue(coeff));</div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160; }</div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160; }</div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;</div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160; <span class="comment">// Reified version.</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160; <span class="keywordflow">if</span> (!linearize_enforced_constraints) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160; <span class="comment">// We linearize fully reified constraints of size 1 all together for a given</span></div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160; <span class="comment">// variable. But we need to process half-reified ones.</span></div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160; <span class="keywordflow">if</span> (!mapping-&gt;IsHalfEncodingConstraint(&amp;<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) &amp;&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size() &lt;= 1) {</div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160; }</div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;</div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160; std::vector&lt;Literal&gt; enforcing_literals;</div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160; enforcing_literals.reserve(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal_size());</div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_ref : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.enforcement_literal()) {</div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160; enforcing_literals.push_back(mapping-&gt;Literal(enforcement_ref));</div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160; }</div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> expr;</div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.reserve(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size());</div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.reserve(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size());</div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars_size(); i++) {</div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; <span class="keywordtype">int</span> ref = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().vars(i);</div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160; IntegerValue coeff(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.linear().coeffs(i));</div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref)) {</div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160; ref = <a class="code" href="namespaceoperations__research_1_1sat.html#acdbc8ad33149d45a6e6fcd8b72fd68ed">PositiveRef</a>(ref);</div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160; coeff = -coeff;</div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160; }</div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160; <span class="keyword">const</span> IntegerVariable int_var = mapping-&gt;Integer(ref);</div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(int_var);</div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(coeff);</div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160; }</div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160; AppendEnforcedLinearExpression(enforcing_literals, expr, rhs_domain_min,</div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160; rhs_domain_max, *<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;}</div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;</div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;<span class="comment">// Add a linear relaxation of the CP constraint to the set of linear</span></div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;<span class="comment">// constraints. The highest linearization_level is, the more types of constraint</span></div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;<span class="comment">// we encode. This method should be called only for linearization_level &gt; 0.</span></div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;<span class="comment">// Note: IntProd is linearized dynamically using the cut generators.</span></div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;<span class="comment">// TODO(user): In full generality, we could encode all the constraint as an LP.</span></div><div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;<span class="comment">// TODO(user): Add unit tests for this method.</span></div><div class="line"><a name="l01042"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc"> 1042</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc">TryToLinearizeConstraint</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>&amp; <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>,</div><div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160; <span class="keywordtype">int</span> linearization_level, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>(), 0);</div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160; <a class="code" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(linearization_level, 0);</div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;</div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160; <span class="keywordflow">switch</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case()) {</div><div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kBoolOr: {</div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a14b7bbca8fef62918577fe4618090e66">AppendBoolOrRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160; }</div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160; }</div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kBoolAnd: {</div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a53d4cc6dea5adf2353b4af43bc1bb2f0">AppendBoolAndRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160; }</div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160; }</div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kAtMostOne: {</div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a305feb6370d1048b959ea498bb2f391b">AppendAtMostOneRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; }</div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kExactlyOne: {</div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a8b2517dbe721a55849b77267941df8d1">AppendExactlyOneRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; }</div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kIntMax: {</div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ac5b14d2bd73645b629f45c44317a5b4e">AppendIntMaxRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160; }</div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kLinMax: {</div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a12d2d24c73fef12818b04df8d5cc368f">AppendLinMaxRelaxationPart1</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160; <span class="keywordflow">if</span> (LinMaxContainsOnlyOneVarInExpressions(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a87f6694cfc0f549668a974462118f99e">AppendMaxAffineRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160; }</div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160; }</div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kLinear: {</div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a5df2c2953d660d96c11967cd903a55fe">AppendLinearConstraintRelaxation</a>(</div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <span class="comment">/*linearize_enforced_constraints=*/</span>linearization_level &gt; 1, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160; relaxation);</div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160; }</div><div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kCircuit: {</div><div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aa4529cf0e90f927c1d7005c3cc4b70c5">AppendCircuitRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160; }</div><div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kRoutes: {</div><div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ac2091b9e5e6e887337a566d5ca547234">AppendRoutesRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160; }</div><div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kInterval: {</div><div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a5f9a5fb599bce0a25848485d9b5033a0">AppendIntervalRelaxation</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160; }</div><div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; }</div><div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kNoOverlap: {</div><div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a2c9b8bc7ebfcbcfea8022b92afe3f2aa">AppendNoOverlapRelaxation</a>(<a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160; }</div><div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160; }</div><div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kCumulative: {</div><div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a3396948941651349892572b564bc29e6">AppendCumulativeRelaxation</a>(<a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, relaxation);</div><div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; }</div><div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160; }</div><div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160; <span class="keywordflow">default</span>: {</div><div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160; }</div><div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160; }</div><div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;}</div><div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;</div><div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;<span class="comment">// Cut generators.</span></div><div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;</div><div class="line"><a name="l01120"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a"> 1120</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a">AddCircuitCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160; std::vector&lt;int&gt; tails(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails().begin(),</div><div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().tails().end());</div><div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160; std::vector&lt;int&gt; heads(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads().begin(),</div><div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().heads().end());</div><div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160; std::vector&lt;Literal&gt; literals = mapping-&gt;Literals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.circuit().literals());</div><div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code" href="namespaceoperations__research_1_1sat.html#a8f4f9889ab3527ce5381ed32e2fae25a">ReindexArcs</a>(&amp;tails, &amp;heads);</div><div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;</div><div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code" href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">CreateStronglyConnectedGraphCutGenerator</a>(</div><div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160; num_nodes, tails, heads, literals, m));</div><div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;}</div><div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;</div><div class="line"><a name="l01134"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83"> 1134</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83">AddRoutesCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160; std::vector&lt;int&gt; tails(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails().begin(),</div><div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails().end());</div><div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160; std::vector&lt;int&gt; heads(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads().begin(),</div><div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads().end());</div><div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160; std::vector&lt;Literal&gt; literals = mapping-&gt;Literals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().literals());</div><div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;</div><div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160; <span class="keywordtype">int</span> num_nodes = 0;</div><div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails_size(); ++i) {</div><div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160; num_nodes = <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(num_nodes, 1 + <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().tails(i));</div><div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160; num_nodes = <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(num_nodes, 1 + <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().heads(i));</div><div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160; }</div><div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().demands().empty() || <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().capacity() == 0) {</div><div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">CreateStronglyConnectedGraphCutGenerator</a>(num_nodes, tails, heads,</div><div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160; literals, m));</div><div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; <span class="keyword">const</span> std::vector&lt;int64_t&gt; demands(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().demands().begin(),</div><div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().demands().end());</div><div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code" href="namespaceoperations__research_1_1sat.html#a0a5fb77a89e69aa0f99f00187dbdd798">CreateCVRPCutGenerator</a>(</div><div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; num_nodes, tails, heads, literals, demands, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.routes().capacity(), m));</div><div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160; }</div><div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;}</div><div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;</div><div class="line"><a name="l01160"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4dcd5302962cdb3bacde2ad477e5a187"> 1160</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a4dcd5302962cdb3bacde2ad477e5a187">AddIntProdCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <span class="keywordtype">int</span> linearization_level,</div><div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m, <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().vars_size() != 2) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;</div><div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160; <span class="comment">// Constraint is z == x * y.</span></div><div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;</div><div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160; IntegerVariable z = mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a877d019ee57a306f9dc8da11efcb4c82">Integer</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().target());</div><div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160; IntegerVariable x = mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().vars(0));</div><div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160; IntegerVariable y = mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.int_prod().vars(1));</div><div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;</div><div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* <span class="keyword">const</span> integer_trail = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160; IntegerValue x_lb = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(x);</div><div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160; IntegerValue x_ub = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(x);</div><div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160; IntegerValue y_lb = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(y);</div><div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160; IntegerValue y_ub = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(y);</div><div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;</div><div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160; <span class="keywordflow">if</span> (x == y) {</div><div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; <span class="comment">// We currently only support variables with non-negative domains.</span></div><div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160; <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 name="l01181"></a><span class="lineno"> 1181</span>&#160;</div><div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160; <span class="comment">// Change the sigh of x if its domain is non-positive.</span></div><div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160; <span class="keywordflow">if</span> (x_ub &lt;= 0) {</div><div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160; x = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(x);</div><div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160; }</div><div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;</div><div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a19a67428513beb394b652edf75b32216">CreateSquareCutGenerator</a>(z, x, linearization_level, m));</div><div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160; <span class="comment">// We currently only support variables with non-negative domains.</span></div><div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160; <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 name="l01192"></a><span class="lineno"> 1192</span>&#160; <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 name="l01193"></a><span class="lineno"> 1193</span>&#160;</div><div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160; <span class="comment">// Change signs to return to the case where all variables are a domain</span></div><div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160; <span class="comment">// with non negative values only.</span></div><div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160; <span class="keywordflow">if</span> (x_ub &lt;= 0) {</div><div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160; x = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(x);</div><div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160; z = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(z);</div><div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160; }</div><div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160; <span class="keywordflow">if</span> (y_ub &lt;= 0) {</div><div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160; y = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(y);</div><div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160; z = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(z);</div><div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160; }</div><div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;</div><div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#af11d52b4cc77e85f6a523f04642229f3">CreatePositiveMultiplicationCutGenerator</a>(z, x, y, linearization_level,</div><div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160; m));</div><div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160; }</div><div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;}</div><div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;</div><div class="line"><a name="l01211"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813"> 1211</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813">AddAllDiffCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.all_diff().vars_size();</div><div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160; <span class="keywordflow">if</span> (num_vars &lt;= m-&gt;GetOrCreate&lt;SatParameters&gt;()-&gt;max_all_diff_cut_size()) {</div><div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160; std::vector&lt;IntegerVariable&gt; vars = mapping-&gt;Integers(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.all_diff().vars());</div><div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a7feb76be212dca01ffe7ba3a0391e118">CreateAllDifferentCutGenerator</a>(vars, m));</div><div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160; }</div><div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;}</div><div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;</div><div class="line"><a name="l01223"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883"> 1223</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883">AddCumulativeCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;</div><div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt; demands =</div><div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160; mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a29dc0991abf59a6d30c457b2de0f8e0b">Integers</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().demands());</div><div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160; <span class="keyword">const</span> std::vector&lt;IntervalVariable&gt; intervals =</div><div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160; mapping-&gt;Intervals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().intervals());</div><div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a> = mapping-&gt;Integer(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().capacity());</div><div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160; std::vector&lt;LinearExpression&gt; energies;</div><div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160; energies.reserve(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().energies_size());</div><div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().energies_size(); ++i) {</div><div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160; <span class="comment">// Note: Cut generator requires all expressions to contain only positive</span></div><div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160; <span class="comment">// vars.</span></div><div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160; energies.push_back(mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.cumulative().energies(i)));</div><div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160; }</div><div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;</div><div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ab52d8f9b4e7a3eb46afe59c0a800903a">CreateCumulativeTimeTableCutGenerator</a>(intervals, <a class="code" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands, m));</div><div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(<a class="code" href="namespaceoperations__research_1_1sat.html#a03af4c5e10755aeae009e7d3be54a96e">CreateCumulativeEnergyCutGenerator</a>(</div><div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160; intervals, <a class="code" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands, energies, m));</div><div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1191110ccab8ee0f3d3e52a1c6c860fd">CreateCumulativeCompletionTimeCutGenerator</a>(intervals, <a class="code" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands,</div><div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160; energies, m));</div><div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a003cb69bcf0bdd2eed1e2a9fd9d37e3c">CreateCumulativePrecedenceCutGenerator</a>(intervals, <a class="code" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, demands, m));</div><div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;}</div><div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;</div><div class="line"><a name="l01252"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e"> 1252</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e">AddNoOverlapCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;</div><div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160; std::vector&lt;IntervalVariable&gt; intervals =</div><div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160; mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a39bcc12f6eb31e15986f6a824e9bae8c">Intervals</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap().intervals());</div><div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ab62fb8f885a68c653b586424aa5863c8">CreateNoOverlapEnergyCutGenerator</a>(intervals, m));</div><div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a23849eabdcf8e9f6f90e7aa05b298dc9">CreateNoOverlapPrecedenceCutGenerator</a>(intervals, m));</div><div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a18fe82932180e2e3bac0fbdf957f01a0">CreateNoOverlapCompletionTimeCutGenerator</a>(intervals, m));</div><div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;}</div><div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;</div><div class="line"><a name="l01267"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5"> 1267</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5">AddNoOverlap2dCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;</div><div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160; std::vector&lt;IntervalVariable&gt; x_intervals =</div><div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160; mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a39bcc12f6eb31e15986f6a824e9bae8c">Intervals</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().x_intervals());</div><div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160; std::vector&lt;IntervalVariable&gt; y_intervals =</div><div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160; mapping-&gt;Intervals(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.no_overlap_2d().y_intervals());</div><div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160; <span class="comment">// TODO(user): We can add CumulativeEnergyCuts for no_overlap_2d if boxes</span></div><div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160; <span class="comment">// do not have a fixed size.</span></div><div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a7bd8a488b0a7ee7905bdab4c5984bd70">CreateNoOverlap2dCompletionTimeCutGenerator</a>(x_intervals, y_intervals, m));</div><div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;}</div><div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;</div><div class="line"><a name="l01282"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70"> 1282</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70">AddLinMaxCutGenerator</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160; <span class="keywordflow">if</span> (!m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_parameters.html">SatParameters</a>&gt;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a9a3a1cfc4bff020a93f548ee3adcd18f">add_lin_max_cuts</a>()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a42a3b266d8c6dfab1c14baa6c04e2333">HasEnforcementLiteral</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;</div><div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160; <span class="comment">// TODO(user): Support linearization of general target expression.</span></div><div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().vars_size() != 1) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().coeffs(0) != 1) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().offset() != 0) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;</div><div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160; <span class="keyword">const</span> IntegerVariable target =</div><div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; mapping-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a877d019ee57a306f9dc8da11efcb4c82">Integer</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().target().vars(0));</div><div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160; std::vector&lt;LinearExpression&gt; exprs;</div><div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160; exprs.reserve(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs_size());</div><div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs_size(); ++i) {</div><div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160; <span class="comment">// Note: Cut generator requires all expressions to contain only positive</span></div><div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160; <span class="comment">// vars.</span></div><div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160; exprs.push_back(</div><div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(mapping-&gt;GetExprFromProto(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lin_max().exprs(i))));</div><div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160; }</div><div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;</div><div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt; alternative_literals =</div><div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a938790a385e658a61d53843b6bb5dfd6">CreateAlternativeLiteralsWithView</a>(exprs.size(), m, relaxation);</div><div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;</div><div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160; <span class="comment">// TODO(user): Move this out of here.</span></div><div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160; <span class="comment">// Add initial big-M linear relaxation.</span></div><div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160; <span class="comment">// z_vars[i] == 1 &lt;=&gt; target = exprs[i].</span></div><div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#afceeea6ad3cc4cb2a78315be297824f3">AppendLinMaxRelaxationPart2</a>(target, alternative_literals, exprs, m,</div><div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160; relaxation);</div><div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;</div><div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160; std::vector&lt;IntegerVariable&gt; z_vars;</div><div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160; <span class="keyword">auto</span>* encoder = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit : alternative_literals) {</div><div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; z_vars.push_back(encoder-&gt;GetLiteralView(lit));</div><div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160; <a class="code" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(z_vars.back(), <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>);</div><div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160; }</div><div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.push_back(</div><div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a7fea62548e11ae728e506874f767bdd3">CreateLinMaxCutGenerator</a>(target, exprs, z_vars, m));</div><div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;}</div><div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;</div><div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment">// TODO(user): Remove and merge with model loading.</span></div><div class="line"><a name="l01325"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a342b60cdebf6f2d2bc0b7228f53b55dc"> 1325</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a342b60cdebf6f2d2bc0b7228f53b55dc">TryToAddCutGenerators</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, <span class="keywordtype">int</span> linearization_level,</div><div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m, <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160; <span class="keywordflow">switch</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case()) {</div><div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kCircuit: {</div><div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a7545a11562b86718d401f1aeb5781c2a">AddCircuitCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160; }</div><div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160; }</div><div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kRoutes: {</div><div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ae9204d7e95002b030bdc1cff7bb9bc83">AddRoutesCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160; }</div><div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160; }</div><div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kIntProd: {</div><div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a4dcd5302962cdb3bacde2ad477e5a187">AddIntProdCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, m, relaxation);</div><div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160; }</div><div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kAllDiff: {</div><div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ab4a9f371c11b989199cb8e867d05d813">AddAllDiffCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160; }</div><div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160; }</div><div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kCumulative: {</div><div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a018f1d29220c1b0d75024dcb5a82b883">AddCumulativeCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160; }</div><div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160; }</div><div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kNoOverlap: {</div><div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a3bb33b0ea560d1818c283bacd4b3838e">AddNoOverlapCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160; }</div><div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160; }</div><div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kNoOverlap2D: {</div><div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a6acf605cd9a3d72b8e33e8d145c07da5">AddNoOverlap2dCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160; }</div><div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160; }</div><div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kIntMax: {</div><div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1 &amp;&amp; IntMaxIsIntAbs(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div><div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#abf560e20a8040f2dc09e6755823fecc5">AddIntAbsCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160; }</div><div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160; }</div><div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160; <span class="keywordflow">case</span> ConstraintProto::ConstraintCase::kLinMax: {</div><div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt; 1) {</div><div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160; <span class="keywordflow">if</span> (LinMaxContainsOnlyOneVarInExpressions(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)) {</div><div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a2e13273db243ecd0a444852de48bd929">AddMaxAffineCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ac17bc38e4e32fb15f01b0346eb6d0d70">AddLinMaxCutGenerator</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, m, relaxation);</div><div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160; }</div><div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160; }</div><div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160; <span class="keywordflow">break</span>;</div><div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160; }</div><div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160; <span class="keywordflow">default</span>: {</div><div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160; }</div><div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160; }</div><div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;}</div><div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;</div><div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;<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 name="l01390"></a><span class="lineno"> 1390</span>&#160;<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 name="l01391"></a><span class="lineno"> 1391</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;<span class="comment">// This codes detect this and add the corresponding linear equations.</span></div><div class="line"><a name="l01393"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb"> 1393</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb">AppendElementEncodingRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>&amp; <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160; <span class="keyword">auto</span>* implied_bounds = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_implied_bounds.html">ImpliedBounds</a>&gt;();</div><div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;</div><div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> : <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>.<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#afce66afa8ae7776a449bba7313ea3559">constraints</a>()) {</div><div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.constraint_case() != ConstraintProto::ConstraintCase::kExactlyOne) {</div><div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160; <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160; }</div><div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160;</div><div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160; <span class="comment">// Project the implied values onto each integer variable.</span></div><div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160; absl::flat_hash_map&lt;IntegerVariable,</div><div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160; std::vector&lt;std::pair&lt;Literal, IntegerValue&gt;&gt;&gt;</div><div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160; var_to_literal_value_list;</div><div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> l : <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.exactly_one().literals()) {</div><div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> = mapping-&gt;Literal(l);</div><div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; var_value : implied_bounds-&gt;GetImpliedValues(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>)) {</div><div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160; var_to_literal_value_list[var_value.first].push_back(</div><div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160; std::make_pair(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, var_value.second));</div><div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160; }</div><div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160; }</div><div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160;</div><div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160; <span class="comment">// Search for variable fully covered by the literals of the exactly_one.</span></div><div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; var_encoding : var_to_literal_value_list) {</div><div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160; <span class="keywordflow">if</span> (var_encoding.second.size() &lt; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.exactly_one().literals_size()) {</div><div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160; <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160; }</div><div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;</div><div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160; <span class="comment">// We only want to deal with the case with duplicate values, because</span></div><div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160; <span class="comment">// otherwise, the target will be fully encoded, and this is already</span></div><div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160; <span class="comment">// covered by another function.</span></div><div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160; IntegerValue min_value = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div><div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160; {</div><div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160; absl::flat_hash_set&lt;IntegerValue&gt; values;</div><div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; literal_value : var_encoding.second) {</div><div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160; min_value = <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(min_value, literal_value.second);</div><div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160; values.insert(literal_value.second);</div><div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160; }</div><div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160; <span class="keywordflow">if</span> (values.size() == <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.exactly_one().literals_size()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160; }</div><div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;</div><div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160; <a class="code" 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 name="l01435"></a><span class="lineno"> 1435</span>&#160; linear_encoding.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(var_encoding.first, IntegerValue(-1));</div><div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; literal_value : var_encoding.second) {</div><div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160; <span class="keyword">const</span> IntegerValue delta_min = literal_value.second - min_value;</div><div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160; <span class="keywordflow">if</span> (delta_min != 0) {</div><div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160; <span class="keywordflow">if</span> (!linear_encoding.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(literal_value.first, delta_min)) {</div><div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160; }</div><div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160; }</div><div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160; }</div><div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(linear_encoding.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160; }</div><div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160; }</div><div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160;}</div><div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160;</div><div class="line"><a name="l01449"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2dacc587a4c4f61238d9c8e85a3cf2dc"> 1449</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a2dacc587a4c4f61238d9c8e85a3cf2dc">ComputeLinearRelaxation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>&amp; <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>,</div><div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160; <span class="keywordtype">int</span> linearization_level, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* m,</div><div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html">LinearRelaxation</a>* relaxation) {</div><div class="line"><a name="l01452"></a><span class="lineno"> 1452</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(relaxation != <span class="keyword">nullptr</span>);</div><div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>&#160;</div><div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>&#160; <span class="comment">// Linearize the constraints.</span></div><div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>&#160; absl::flat_hash_set&lt;int&gt; used_integer_variable;</div><div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160;</div><div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160; <span class="keyword">auto</span>* mapping = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_mapping.html">CpModelMapping</a>&gt;();</div><div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160; <span class="keyword">auto</span>* encoder = m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> : <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>.<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#afce66afa8ae7776a449bba7313ea3559">constraints</a>()) {</div><div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a1ccfd912c87b8ca68a7fe0d62d7f49bc">TryToLinearizeConstraint</a>(<a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, m,</div><div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>&#160; relaxation);</div><div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a342b60cdebf6f2d2bc0b7228f53b55dc">TryToAddCutGenerators</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>, linearization_level, m, relaxation);</div><div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160; }</div><div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160;</div><div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160; <span class="comment">// Linearize the encoding of variable that are fully encoded.</span></div><div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160; <span class="keywordtype">int</span> num_full_encoding_relaxations = 0;</div><div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>&#160; <span class="keywordtype">int</span> num_partial_encoding_relaxations = 0;</div><div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>.<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#abef5f55c3278c137faca92b8e433f8ea">variables_size</a>(); ++i) {</div><div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160; <span class="keywordflow">if</span> (mapping-&gt;IsBoolean(i)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160;</div><div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = mapping-&gt;Integer(i);</div><div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>&#160; <span class="keywordflow">if</span> (m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a37eb53a23cb596ef5d2e3bbc0fab70dc">Get</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d">IsFixed</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160;</div><div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160; <span class="comment">// TODO(user): This different encoding for the partial variable might be</span></div><div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160; <span class="comment">// better (less LP constraints), but we do need more investigation to</span></div><div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160; <span class="comment">// decide.</span></div><div class="line"><a name="l01477"></a><span class="lineno"> 1477</span>&#160; <span class="keywordflow">if</span> (<span class="comment">/* DISABLES CODE */</span> (<span class="keyword">false</span>)) {</div><div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1">AppendPartialEncodingRelaxation</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, *m, relaxation);</div><div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>&#160; <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01480"></a><span class="lineno"> 1480</span>&#160; }</div><div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>&#160;</div><div class="line"><a name="l01482"></a><span class="lineno"> 1482</span>&#160; <span class="keywordflow">if</span> (encoder-&gt;VariableIsFullyEncoded(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div><div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b">AppendFullEncodingRelaxation</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, *m, relaxation)) {</div><div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>&#160; ++num_full_encoding_relaxations;</div><div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>&#160; <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>&#160; }</div><div class="line"><a name="l01487"></a><span class="lineno"> 1487</span>&#160; }</div><div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>&#160;</div><div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>&#160; <span class="comment">// Even if the variable is fully encoded, sometimes not all its associated</span></div><div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>&#160; <span class="comment">// literal have a view (if they are not part of the original model for</span></div><div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>&#160; <span class="comment">// instance).</span></div><div class="line"><a name="l01492"></a><span class="lineno"> 1492</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>&#160; <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 name="l01494"></a><span class="lineno"> 1494</span>&#160; <span class="comment">// we can sometimes create a lot of Booleans like this.</span></div><div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> old = relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size();</div><div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aff14a4092356fceea657393b7b234b7f">AppendPartialGreaterThanEncodingRelaxation</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, *m, relaxation);</div><div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>&#160; <span class="keywordflow">if</span> (relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size() &gt; old) {</div><div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>&#160; ++num_partial_encoding_relaxations;</div><div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160; }</div><div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160; }</div><div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160;</div><div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>&#160; <span class="comment">// TODO(user): This is really similar to the AppendFullEncodingRelaxation()</span></div><div class="line"><a name="l01503"></a><span class="lineno"> 1503</span>&#160; <span class="comment">// above. Investigate if we can merge the code.</span></div><div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>&#160; <span class="keywordflow">if</span> (linearization_level &gt;= 2) {</div><div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aa052156cdbdd391d5c0284628bfa2ebb">AppendElementEncodingRelaxation</a>(<a class="code" href="cp__model__solver_8cc.html#a6ac76d8a372013f67c4973012948ec84">model_proto</a>, m, relaxation);</div><div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>&#160; }</div><div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>&#160;</div><div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160; <span class="keywordflow">if</span> (!m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html#a607d97ccada862073f297bc2d495124d">FinishPropagation</a>()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>&#160;</div><div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160; <span class="comment">// Linearize the at most one constraints. Note that we transform them</span></div><div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160; <span class="comment">// into maximum &quot;at most one&quot; first and we removes redundant ones.</span></div><div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160; m-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">BinaryImplicationGraph</a>&gt;()-&gt;TransformIntoMaxCliques(</div><div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>&#160; &amp;relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>);</div><div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; at_most_one : relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>) {</div><div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160; <span class="keywordflow">if</span> (at_most_one.empty()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160;</div><div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> lc(m, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, IntegerValue(1));</div><div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : at_most_one) {</div><div class="line"><a name="l01519"></a><span class="lineno"> 1519</span>&#160; <span class="comment">// Note that it is okay to simply ignore the literal if it has no</span></div><div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>&#160; <span class="comment">// integer view.</span></div><div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>&#160; <span class="keyword">const</span> <span class="keywordtype">bool</span> unused ABSL_ATTRIBUTE_UNUSED =</div><div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160; lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, IntegerValue(1));</div><div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160; }</div><div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.push_back(lc.<a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>());</div><div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160; }</div><div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160;</div><div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160; <span class="comment">// We converted all at_most_one to LP constraints, so we need to clear them</span></div><div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160; <span class="comment">// so that we don&#39;t do extra work in the connected component computation.</span></div><div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a0bffb74eb458b339aa75f20b6c982a60">at_most_ones</a>.clear();</div><div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>&#160;</div><div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>&#160; <span class="comment">// Remove size one LP constraints, they are not useful.</span></div><div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.erase(</div><div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>&#160; std::remove_if(</div><div class="line"><a name="l01534"></a><span class="lineno"> 1534</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.begin(),</div><div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.end(),</div><div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160; [](<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; lc) { <span class="keywordflow">return</span> lc.vars.size() &lt;= 1; }),</div><div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.end());</div><div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160;</div><div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) &lt;&lt; <span class="stringliteral">&quot;num_full_encoding_relaxations: &quot;</span> &lt;&lt; num_full_encoding_relaxations;</div><div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) &lt;&lt; <span class="stringliteral">&quot;num_partial_encoding_relaxations: &quot;</span></div><div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>&#160; &lt;&lt; num_partial_encoding_relaxations;</div><div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) &lt;&lt; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#a787dea05b34122764c7fb5fd13e9a1c9">linear_constraints</a>.size()</div><div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>&#160; &lt;&lt; <span class="stringliteral">&quot; constraints in the LP relaxation.&quot;</span>;</div><div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) &lt;&lt; relaxation-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_relaxation.html#ae6fdc05264dc58e553116fe3d9dbe236">cut_generators</a>.size() &lt;&lt; <span class="stringliteral">&quot; cuts generators.&quot;</span>;</div><div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>&#160;}</div><div class="line"><a name="l01546"></a><span class="lineno"> 1546</span>&#160;</div><div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>&#160;} <span class="comment">// namespace sat</span></div><div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160;} <span class="comment">// namespace operations_research</span></div><div class="ttc" id="routing__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="base_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00491">base/logging.h:491</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00386">scheduling_cuts.cc:386</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a38766514ce4824ae1e093a25d7fb43b3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">operations_research::sat::NewBooleanVariable</a></div><div class="ttdeci">std::function&lt; BooleanVariable(Model *)&gt; NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01469">integer.h:1469</a></div></div>
<div class="ttc" id="classoperations__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#l00640">integer.cc:640</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01211">linear_relaxation.cc:1211</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_linear_relaxation_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_relaxation.html">operations_research::sat::LinearRelaxation</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8h_source.html#l00028">linear_relaxation.h:28</a></div></div>
<div class="ttc" id="namespaceoperations__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="sat_2linear__constraint_8cc_source.html#l00425">sat/linear_constraint.cc:425</a></div></div>
<div class="ttc" id="alldiff__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="namespaceoperations__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#l00826">linear_relaxation.cc:826</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a5564bcb1461ad3cbce7f744c3fb58c6b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5564bcb1461ad3cbce7f744c3fb58c6b">operations_research::sat::AppendFullEncodingRelaxation</a></div><div class="ttdeci">bool AppendFullEncodingRelaxation(IntegerVariable var, const Model &amp;model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00041">linear_relaxation.cc:41</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_parameters_html_a9a3a1cfc4bff020a93f548ee3adcd18f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a9a3a1cfc4bff020a93f548ee3adcd18f">operations_research::sat::SatParameters::add_lin_max_cuts</a></div><div class="ttdeci">bool add_lin_max_cuts() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06507">sat_parameters.pb.h:6507</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a2dacc587a4c4f61238d9c8e85a3cf2dc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2dacc587a4c4f61238d9c8e85a3cf2dc">operations_research::sat::ComputeLinearRelaxation</a></div><div class="ttdeci">void ComputeLinearRelaxation(const CpModelProto &amp;model_proto, int linearization_level, Model *m, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l01449">linear_relaxation.cc:1449</a></div></div>
<div class="ttc" id="namespaceoperations__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="sat_2linear__constraint_8cc_source.html#l00354">sat/linear_constraint.cc:354</a></div></div>
<div class="ttc" id="stl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ab52d8f9b4e7a3eb46afe59c0a800903a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab52d8f9b4e7a3eb46afe59c0a800903a">operations_research::sat::CreateCumulativeTimeTableCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeTimeTableCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const IntegerVariable capacity, const std::vector&lt; IntegerVariable &gt; &amp;demands, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00406">scheduling_cuts.cc:406</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00038">sat/model.h:38</a></div></div>
<div class="ttc" id="classoperations__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#l00069">sat_base.h:69</a></div></div>
<div class="ttc" id="integer__expr_8h_html"><div class="ttname"><a href="integer__expr_8h.html">integer_expr.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_abf560e20a8040f2dc09e6755823fecc5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#abf560e20a8040f2dc09e6755823fecc5">operations_research::sat::AddIntAbsCutGenerator</a></div><div class="ttdeci">void AddIntAbsCutGenerator(const ConstraintProto &amp;ct, 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="structoperations__research_1_1sat_1_1_linear_constraint_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearConstraint::coeffs</a></div><div class="ttdeci">std::vector&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00037">sat/linear_constraint.h:37</a></div></div>
<div class="ttc" id="scheduling__cuts_8h_html"><div class="ttname"><a href="scheduling__cuts_8h.html">scheduling_cuts.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_acde4c26d1c621dd069c060649152f5a7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acde4c26d1c621dd069c060649152f5a7">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#l02001">cuts.cc:2001</a></div></div>
<div class="ttc" id="structoperations__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#l00033">sat/linear_constraint.h:33</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00571">linear_relaxation.cc:571</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01393">linear_relaxation.cc:1393</a></div></div>
<div class="ttc" id="base_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#l00979">base/logging.h:979</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_model_html_a8d72645353ea6770911c4e0724995ed6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">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#l00106">sat/model.h:106</a></div></div>
<div class="ttc" id="classoperations__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#l01345">integer.h:1345</a></div></div>
<div class="ttc" id="classoperations__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="namespaceoperations__research_1_1sat_html_a7a8afb81fc298cbb167472a33887eb1a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7a8afb81fc298cbb167472a33887eb1a">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#l02037">cuts.cc:2037</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a003cb69bcf0bdd2eed1e2a9fd9d37e3c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a003cb69bcf0bdd2eed1e2a9fd9d37e3c">operations_research::sat::CreateCumulativePrecedenceCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativePrecedenceCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, IntegerVariable capacity, const std::vector&lt; IntegerVariable &gt; &amp;demands, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="scheduling__cuts_8cc_source.html#l00580">scheduling_cuts.cc:580</a></div></div>
<div class="ttc" id="namespaceoperations__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="linear__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="namespaceoperations__research_1_1sat_html_a5f9a5fb599bce0a25848485d9b5033a0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5f9a5fb599bce0a25848485d9b5033a0">operations_research::sat::AppendIntervalRelaxation</a></div><div class="ttdeci">void AppendIntervalRelaxation(const ConstraintProto &amp;ct, Model *model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00665">linear_relaxation.cc:665</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00092">sat_base.h:92</a></div></div>
<div class="ttc" id="classoperations__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="sat_2linear__constraint_8cc_source.html#l00052">sat/linear_constraint.cc:52</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ac5b14d2bd73645b629f45c44317a5b4e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac5b14d2bd73645b629f45c44317a5b4e">operations_research::sat::AppendIntMaxRelaxation</a></div><div class="ttdeci">void AppendIntMaxRelaxation(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#l00552">linear_relaxation.cc:552</a></div></div>
<div class="ttc" id="gurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00273">gurobi_interface.cc:273</a></div></div>
<div class="ttc" id="namespaceoperations__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="sat_2linear__constraint_8cc_source.html#l00410">sat/linear_constraint.cc:410</a></div></div>
<div class="ttc" id="classoperations__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="sat_2linear__constraint_8cc_source.html#l00025">sat/linear_constraint.cc:25</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00065">sat_base.h:65</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a775efd540e54bd3be662ce7ee8894c1e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">operations_research::sat::NewIntegerVariableFromLiteral</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewIntegerVariableFromLiteral(Literal lit)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01501">integer.h:1501</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00454">linear_relaxation.cc:454</a></div></div>
<div class="ttc" id="classoperations__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="sat_2linear__constraint_8cc_source.html#l00093">sat/linear_constraint.cc:93</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00424">linear_relaxation.cc:424</a></div></div>
<div class="ttc" id="namespacegtl_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="namespaceoperations__research_1_1sat_html_a19a67428513beb394b652edf75b32216"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a19a67428513beb394b652edf75b32216">operations_research::sat::CreateSquareCutGenerator</a></div><div class="ttdeci">CutGenerator CreateSquareCutGenerator(IntegerVariable y, IntegerVariable x, int linearization_level, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01428">cuts.cc:1428</a></div></div>
<div class="ttc" id="base_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#l00891">base/logging.h:891</a></div></div>
<div class="ttc" id="classoperations__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#l01153">integer.h:1153</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_abef5f55c3278c137faca92b8e433f8ea"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#abef5f55c3278c137faca92b8e433f8ea">operations_research::sat::CpModelProto::variables_size</a></div><div class="ttdeci">int variables_size() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12036">cp_model.pb.h:12036</a></div></div>
<div class="ttc" id="classoperations__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#l00078">implied_bounds.h:78</a></div></div>
<div class="ttc" id="structoperations__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#l00088">sat/linear_constraint.h:88</a></div></div>
<div class="ttc" id="iterator__adaptors_8h_html"><div class="ttname"><a href="iterator__adaptors_8h.html">iterator_adaptors.h</a></div></div>
<div class="ttc" id="namespaceoperations__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#l02570">linear_programming_constraint.cc:2570</a></div></div>
<div class="ttc" id="namespaceoperations__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="routing__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="structoperations__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#l00090">sat/linear_constraint.h:90</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_adceead2704b0f70717a819957d97450f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#adceead2704b0f70717a819957d97450f">operations_research::sat::AddCumulativeRelaxation</a></div><div class="ttdeci">void AddCumulativeRelaxation(const std::vector&lt; IntervalVariable &gt; &amp;x_intervals, SchedulingConstraintHelper *x, SchedulingConstraintHelper *y, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2diffn_8cc_source.html#l00080">sat/diffn.cc:80</a></div></div>
<div class="ttc" id="namespaceoperations__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="sat_2linear__constraint_8cc_source.html#l00339">sat/linear_constraint.cc:339</a></div></div>
<div class="ttc" id="sat_2linear__constraint_8h_html"><div class="ttname"><a href="sat_2linear__constraint_8h.html">linear_constraint.h</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_linear_constraint_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearConstraint::vars</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00036">sat/linear_constraint.h:36</a></div></div>
<div class="ttc" id="cuts_8h_html"><div class="ttname"><a href="cuts_8h.html">cuts.h</a></div></div>
<div class="ttc" id="structoperations__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#l00089">sat/linear_constraint.h:89</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00142">integer.h:142</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a9d8cd5de7be4a42157145228a43d177e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">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#l01483">integer.h:1483</a></div></div>
<div class="ttc" id="classoperations__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#l00065">cp_model_mapping.h:65</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01917">cuts.cc:1917</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00168">circuit.h:168</a></div></div>
<div class="ttc" id="alldiff__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="namespaceoperations__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#l01223">linear_relaxation.cc:1223</a></div></div>
<div class="ttc" id="structoperations__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#l00030">linear_relaxation.h:30</a></div></div>
<div class="ttc" id="gscip__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#l00126">gscip_solver.cc:126</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01134">linear_relaxation.cc:1134</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_constraint_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_constraint_proto.html">operations_research::sat::ConstraintProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l03865">cp_model.pb.h:3865</a></div></div>
<div class="ttc" id="classoperations__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#l00306">integer.h:306</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a17cd7e2195387f2b39aab8ce18b3147a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a17cd7e2195387f2b39aab8ce18b3147a">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#l00666">intervals.h:666</a></div></div>
<div class="ttc" id="classoperations__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#l00087">sat/model.h:87</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01267">linear_relaxation.cc:1267</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html">operations_research::sat::CpModelProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l05975">cp_model.pb.h:5975</a></div></div>
<div class="ttc" id="namespaceoperations__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#l02553">linear_programming_constraint.cc:2553</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00248">linear_relaxation.cc:248</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00971">linear_relaxation.cc:971</a></div></div>
<div class="ttc" id="classoperations__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#l00574">integer.h:574</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_afce66afa8ae7776a449bba7313ea3559"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#afce66afa8ae7776a449bba7313ea3559">operations_research::sat::CpModelProto::constraints</a></div><div class="ttdeci">const ::operations_research::sat::ConstraintProto &amp; constraints(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12094">cp_model.pb.h:12094</a></div></div>
<div class="ttc" id="classoperations__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#l01412">integer.h:1412</a></div></div>
<div class="ttc" id="namespaceoperations__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="namespaceoperations__research_1_1sat_html_ace76b216f012cbdf1443670080329f6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d">operations_research::sat::IsFixed</a></div><div class="ttdeci">std::function&lt; bool(const Model &amp;)&gt; IsFixed(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01536">integer.h:1536</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00392">linear_relaxation.cc:392</a></div></div>
<div class="ttc" id="classoperations__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#l00051">integer_expr.h:51</a></div></div>
<div class="ttc" id="routing__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="pack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ad1e6dcf4509b3739c208979e13ef7371"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad1e6dcf4509b3739c208979e13ef7371">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#l00696">intervals.h:696</a></div></div>
<div class="ttc" id="circuit_8h_html"><div class="ttname"><a href="circuit_8h.html">circuit.h</a></div></div>
<div class="ttc" id="linear__relaxation_8h_html"><div class="ttname"><a href="linear__relaxation_8h.html">linear_relaxation.h</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00138">integer.h:138</a></div></div>
<div class="ttc" id="base_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#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00623">scheduling_cuts.cc:623</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01042">linear_relaxation.cc:1042</a></div></div>
<div class="ttc" id="classoperations__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#l00147">sat/linear_constraint.h:147</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01252">linear_relaxation.cc:1252</a></div></div>
<div class="ttc" id="base_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00698">base/logging.h:698</a></div></div>
<div class="ttc" id="sat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00433">linear_relaxation.cc:433</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a0ee70f9d17fac333fb71c0ab6423f58c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c">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#l01530">integer.h:1530</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a7feb76be212dca01ffe7ba3a0391e118"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7feb76be212dca01ffe7ba3a0391e118">operations_research::sat::CreateAllDifferentCutGenerator</a></div><div class="ttdeci">CutGenerator CreateAllDifferentCutGenerator(const std::vector&lt; IntegerVariable &gt; &amp;vars, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01819">cuts.cc:1819</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00848">linear_relaxation.cc:848</a></div></div>
<div class="ttc" id="resource_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#l01692">resource.cc:1692</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00378">linear_relaxation.cc:378</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00058">sat_solver.h:58</a></div></div>
<div class="ttc" id="namespaceoperations__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="sat_2linear__constraint_8cc_source.html#l00364">sat/linear_constraint.cc:364</a></div></div>
<div class="ttc" id="classoperations__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#l00522">sat_solver.cc:522</a></div></div>
<div class="ttc" id="sat__parameters_8pb_8h_html"><div class="ttname"><a href="sat__parameters_8pb_8h.html">sat_parameters.pb.h</a></div></div>
<div class="ttc" id="cp__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#l02011">cp_model_solver.cc:2011</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a342b60cdebf6f2d2bc0b7228f53b55dc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a342b60cdebf6f2d2bc0b7228f53b55dc">operations_research::sat::TryToAddCutGenerators</a></div><div class="ttdeci">void TryToAddCutGenerators(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#l01325">linear_relaxation.cc:1325</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00029">integer.cc:29</a></div></div>
<div class="ttc" id="base_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#l00885">base/logging.h:885</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00812">linear_relaxation.cc:812</a></div></div>
<div class="ttc" id="implied__bounds_8h_html"><div class="ttname"><a href="implied__bounds_8h.html">implied_bounds.h</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01120">linear_relaxation.cc:1120</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_aa490b08ec514e9c567ff098d53353db1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa490b08ec514e9c567ff098d53353db1">operations_research::sat::AppendPartialEncodingRelaxation</a></div><div class="ttdeci">void AppendPartialEncodingRelaxation(IntegerVariable var, const Model &amp;model, LinearRelaxation *relaxation)</div><div class="ttdef"><b>Definition:</b> <a href="linear__relaxation_8cc_source.html#l00173">linear_relaxation.cc:173</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ae13e4169ae1934ab2b1c58af67d9fce3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3">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#l01524">integer.h:1524</a></div></div>
<div class="ttc" id="namespaceoperations__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="classoperations__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#l00173">intervals.h:173</a></div></div>
<div class="ttc" id="scheduling__constraints_8h_html"><div class="ttname"><a href="scheduling__constraints_8h.html">scheduling_constraints.h</a></div></div>
<div class="ttc" id="cp__model_8pb_8h_html"><div class="ttname"><a href="cp__model_8pb_8h.html">cp_model.pb.h</a></div></div>
<div class="ttc" id="classoperations__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="sat_2linear__constraint_8cc_source.html#l00154">sat/linear_constraint.cc:154</a></div></div>
<div class="ttc" id="structoperations__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#l00031">linear_relaxation.h:31</a></div></div>
<div class="ttc" id="classoperations__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#l01349">integer.h:1349</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_solver_html_ad63c4461a1384629cb99413c6df8b9ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">operations_research::sat::SatSolver::CurrentDecisionLevel</a></div><div class="ttdeci">int CurrentDecisionLevel() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00361">sat_solver.h:361</a></div></div>
<div class="ttc" id="integer_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_mapping_html_a39bcc12f6eb31e15986f6a824e9bae8c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a39bcc12f6eb31e15986f6a824e9bae8c">operations_research::sat::CpModelMapping::Intervals</a></div><div class="ttdeci">std::vector&lt; IntervalVariable &gt; Intervals(const ProtoIndices &amp;indices) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__mapping_8h_source.html#l00125">cp_model_mapping.h:125</a></div></div>
<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_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#l00958">scheduling_cuts.cc:958</a></div></div>
<div class="ttc" id="namespaceoperations__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="namespaceoperations__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#l00612">linear_relaxation.cc:612</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_linear_constraint_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">operations_research::sat::LinearConstraint::ub</a></div><div class="ttdeci">IntegerValue ub</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00035">sat/linear_constraint.h:35</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1191110ccab8ee0f3d3e52a1c6c860fd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1191110ccab8ee0f3d3e52a1c6c860fd">operations_research::sat::CreateCumulativeCompletionTimeCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeCompletionTimeCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const IntegerVariable capacity, const std::vector&lt; IntegerVariable &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#l00889">scheduling_cuts.cc:889</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a4dcd5302962cdb3bacde2ad477e5a187"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4dcd5302962cdb3bacde2ad477e5a187">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#l01160">linear_relaxation.cc:1160</a></div></div>
<div class="ttc" id="namespaceoperations__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="classoperations__research_1_1sat_1_1_integer_encoder_html_aa0a8be7c97692d0b4fdb2f13ba303f36"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#aa0a8be7c97692d0b4fdb2f13ba303f36">operations_research::sat::IntegerEncoder::FullDomainEncoding</a></div><div class="ttdeci">std::vector&lt; ValueLiteralPair &gt; FullDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00133">integer.cc:133</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ac25154306cf957b6c39ba28d15924a20"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac25154306cf957b6c39ba28d15924a20">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_8h_source.html#l00064">scheduling_constraints.h:64</a></div></div>
<div class="ttc" id="namespaceoperations__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="expr__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="namespaceoperations__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#l00904">linear_relaxation.cc:904</a></div></div>
<div class="ttc" id="cp__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="classoperations__research_1_1sat_1_1_cp_model_mapping_html_a29dc0991abf59a6d30c457b2de0f8e0b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_mapping.html#a29dc0991abf59a6d30c457b2de0f8e0b">operations_research::sat::CpModelMapping::Integers</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; Integers(const List &amp;list) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__mapping_8h_source.html#l00111">cp_model_mapping.h:111</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_af11d52b4cc77e85f6a523f04642229f3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af11d52b4cc77e85f6a523f04642229f3">operations_research::sat::CreatePositiveMultiplicationCutGenerator</a></div><div class="ttdeci">CutGenerator CreatePositiveMultiplicationCutGenerator(IntegerVariable z, IntegerVariable x, IntegerVariable y, int linearization_level, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01341">cuts.cc:1341</a></div></div>
<div class="ttc" id="structoperations__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#l00029">linear_relaxation.h:29</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1b1462c55662c1263c0e1f54ed6e06cd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">operations_research::sat::ExactlyOneConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ExactlyOneConstraint(const std::vector&lt; Literal &gt; &amp;literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00878">sat_solver.h:878</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_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#l00840">scheduling_cuts.cc:840</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01282">linear_relaxation.cc:1282</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_parameters_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html">operations_research::sat::SatParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l00347">sat_parameters.pb.h:347</a></div></div>
<div class="ttc" id="classoperations__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#l00085">cp_model_mapping.h:85</a></div></div>
<div class="ttc" id="classoperations__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#l01407">integer.h:1407</a></div></div>
<div class="ttc" id="optimization_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#l00085">optimization.cc:85</a></div></div>
<div class="ttc" id="resource_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="base_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#l00699">base/logging.h:699</a></div></div>
<div class="ttc" id="classoperations__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#l01353">integer.h:1353</a></div></div>
<div class="ttc" id="demon__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="classoperations__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="sat_2linear__constraint_8cc_source.html#l00071">sat/linear_constraint.cc:71</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a03af4c5e10755aeae009e7d3be54a96e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a03af4c5e10755aeae009e7d3be54a96e">operations_research::sat::CreateCumulativeEnergyCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeEnergyCutGenerator(const std::vector&lt; IntervalVariable &gt; &amp;intervals, const IntegerVariable capacity, const std::vector&lt; IntegerVariable &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#l00358">scheduling_cuts.cc:358</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00866">linear_relaxation.cc:866</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00786">linear_relaxation.cc:786</a></div></div>
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