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154 lines
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<a href="cp__model__objective_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> </div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="cp__model__objective_8h.html">ortools/sat/cp_model_objective.h</a>"</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <cstdint></span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "<a class="code" href="cp__model__utils_8h.html">ortools/sat/cp_model_utils.h</a>"</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">namespace </span>sat {</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div><div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a21831f6f427a84bea58317eea88aa1fa"> 23</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a21831f6f427a84bea58317eea88aa1fa">EncodeObjectiveAsSingleVariable</a>(<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>* cp_model) {</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordflow">if</span> (!cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a777a6e330a22a8889389cb9b9c9f12d6">has_objective</a>()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordflow">if</span> (cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a76c521af56ab0e96eb06deeb679f46f7">vars_size</a>() == 1) {</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="comment">// Canonicalize the objective to make it easier on us by always making the</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="comment">// coefficient equal to 1.0.</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> old_ref = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7a72ff7bd5bde08ba00f944c5aa3168">vars</a>(0);</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">const</span> int64_t old_coeff = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a50faf32570e4f9cd348c797231fe35e0">coeffs</a>(0);</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> muliplier = static_cast<double>(std::abs(old_coeff));</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">if</span> (old_coeff < 0) {</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a7122a1b5e0cfa809e71e6a4669babc32">set_vars</a>(0, <a class="code" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(old_ref));</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  }</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">if</span> (muliplier != 1.0) {</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// TODO(user): deal with this case.</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#aa9cb4e4ba977c364365487c63ed32446">domain</a>().empty());</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordtype">double</span> old_factor = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a9e32504c3f1bddb0f25f1386ecf7987b">scaling_factor</a>();</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">if</span> (old_factor == 0.0) old_factor = 1.0;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> old_offset = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>();</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#af02334eb54337092e11b9a74312a4c25">set_scaling_factor</a>(old_factor * muliplier);</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7453c28e1da85ea4728b31419c0d6b7">set_offset</a>(old_offset / muliplier);</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ab59665fa3051a704378a94693636fd3b">set_coeffs</a>(0, 1.0);</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">return</span>;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  }</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// Compute trivial bounds on the objective, this is needed otherwise the</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// overflow checker might not be happy with the new constraint we are about</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="comment">// to create. Note that the model validator should make sure that there is no</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// overflow in the computation below.</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  int64_t min_obj = 0;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  int64_t max_obj = 0;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a76c521af56ab0e96eb06deeb679f46f7">vars_size</a>(); ++i) {</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> ref = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7a72ff7bd5bde08ba00f944c5aa3168">vars</a>(i);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <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>(ref);</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">const</span> int64_t coeff =</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a50faf32570e4f9cd348c797231fe35e0">coeffs</a>(i) * (<a class="code" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref) ? 1 : -1);</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">const</span> int64_t value1 = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a6a4544ca20489d70e302f5d6d374a012">variables</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>).<a class="code" href="classoperations__research_1_1sat_1_1_integer_variable_proto.html#aa9cb4e4ba977c364365487c63ed32446">domain</a>(0) * coeff;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">const</span> int64_t value2 = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a6a4544ca20489d70e302f5d6d374a012">variables</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>).<a class="code" href="classoperations__research_1_1sat_1_1_integer_variable_proto.html#aa9cb4e4ba977c364365487c63ed32446">domain</a>(</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a6a4544ca20489d70e302f5d6d374a012">variables</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>).<a class="code" href="classoperations__research_1_1sat_1_1_integer_variable_proto.html#a0cf3e2ef19d1e580d07b8c50d95cfa1e">domain_size</a>() - 1) *</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  coeff;</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  min_obj += <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(value1, value2);</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  max_obj += <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(value1, value2);</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// Create the new objective var.</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> obj_ref = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#abef5f55c3278c137faca92b8e433f8ea">variables_size</a>();</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  {</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_variable_proto.html">IntegerVariableProto</a>* obj = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad03d1e2f94c4ca4c8004ac5355e6504a">add_variables</a>();</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="classoperations__research_1_1_domain.html">Domain</a> obj_domain(min_obj, max_obj);</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">if</span> (!cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#aa9cb4e4ba977c364365487c63ed32446">domain</a>().empty()) {</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  obj_domain = obj_domain.<a class="code" href="classoperations__research_1_1_domain.html#a835826c4c5129b74553042a357a721ff">IntersectionWith</a>(</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#ab1240060466ba48a36a4b36379bce26a">ReadDomainFromProto</a>(cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>()));</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a901c19b12842f8af153e588a689a90b5">FillDomainInProto</a>(obj_domain, obj);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  }</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// Add the linear constraint.</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html">LinearConstraintProto</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ac01de597eeeff5521a8bf54568bf1373">add_constraints</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html#ad653c55b371ae98444295965c6622ddb">mutable_linear</a>();</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->add_domain(0);</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->add_domain(0);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  *(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->mutable_vars()) = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7a72ff7bd5bde08ba00f944c5aa3168">vars</a>();</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  *(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->mutable_coeffs()) = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">objective</a>().<a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a50faf32570e4f9cd348c797231fe35e0">coeffs</a>();</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->add_vars(obj_ref);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->add_coeffs(-1);</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// Update the objective.</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ab1a05788afa206a0fd73ba052ac18520">clear_vars</a>();</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a06a99a40cbd48fec5a10b7096f0a027d">clear_coeffs</a>();</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#aecb2bc94116e771000e5be7f8e3a7f6c">add_vars</a>(obj_ref);</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a9bb52f9d2a03820db9271cdae2ce97d5">add_coeffs</a>(1);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a44f2e1631cdbf3b9a89a8afa8acb8ebd">clear_domain</a>();</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> }</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> } <span class="comment">// namespace sat</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> } <span class="comment">// namespace operations_research</span></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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_ac7453c28e1da85ea4728b31419c0d6b7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7453c28e1da85ea4728b31419c0d6b7">operations_research::sat::CpObjectiveProto::set_offset</a></div><div class="ttdeci">void set_offset(double value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11344">cp_model.pb.h:11344</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_aa9cb4e4ba977c364365487c63ed32446"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#aa9cb4e4ba977c364365487c63ed32446">operations_research::sat::CpObjectiveProto::domain</a></div><div class="ttdeci">::PROTOBUF_NAMESPACE_ID::int64 domain(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11382">cp_model.pb.h:11382</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_aecb2bc94116e771000e5be7f8e3a7f6c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#aecb2bc94116e771000e5be7f8e3a7f6c">operations_research::sat::CpObjectiveProto::add_vars</a></div><div class="ttdeci">void add_vars(::PROTOBUF_NAMESPACE_ID::int32 value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11259">cp_model.pb.h:11259</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_ab59665fa3051a704378a94693636fd3b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ab59665fa3051a704378a94693636fd3b">operations_research::sat::CpObjectiveProto::set_coeffs</a></div><div class="ttdeci">void set_coeffs(int index, ::PROTOBUF_NAMESPACE_ID::int64 value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11299">cp_model.pb.h:11299</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a7122a1b5e0cfa809e71e6a4669babc32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a7122a1b5e0cfa809e71e6a4669babc32">operations_research::sat::CpObjectiveProto::set_vars</a></div><div class="ttdeci">void set_vars(int index, ::PROTOBUF_NAMESPACE_ID::int32 value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11252">cp_model.pb.h:11252</a></div></div>
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<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>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_ad03d1e2f94c4ca4c8004ac5355e6504a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad03d1e2f94c4ca4c8004ac5355e6504a">operations_research::sat::CpModelProto::add_variables</a></div><div class="ttdeci">::operations_research::sat::IntegerVariableProto * add_variables()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12061">cp_model.pb.h:12061</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a96ffc785b7b2135c7980c985883ffdd3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a96ffc785b7b2135c7980c985883ffdd3">operations_research::sat::CpObjectiveProto::offset</a></div><div class="ttdeci">double offset() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11336">cp_model.pb.h:11336</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_ab1a05788afa206a0fd73ba052ac18520"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ab1a05788afa206a0fd73ba052ac18520">operations_research::sat::CpObjectiveProto::clear_vars</a></div><div class="ttdeci">void clear_vars()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11242">cp_model.pb.h:11242</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_ac7a72ff7bd5bde08ba00f944c5aa3168"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7a72ff7bd5bde08ba00f944c5aa3168">operations_research::sat::CpObjectiveProto::vars</a></div><div class="ttdeci">::PROTOBUF_NAMESPACE_ID::int32 vars(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11248">cp_model.pb.h:11248</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_a6a4544ca20489d70e302f5d6d374a012"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a6a4544ca20489d70e302f5d6d374a012">operations_research::sat::CpModelProto::variables</a></div><div class="ttdeci">const ::operations_research::sat::IntegerVariableProto & variables(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12054">cp_model.pb.h:12054</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a9bb52f9d2a03820db9271cdae2ce97d5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a9bb52f9d2a03820db9271cdae2ce97d5">operations_research::sat::CpObjectiveProto::add_coeffs</a></div><div class="ttdeci">void add_coeffs(::PROTOBUF_NAMESPACE_ID::int64 value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11306">cp_model.pb.h:11306</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_linear_constraint_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html">operations_research::sat::LinearConstraintProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l01264">cp_model.pb.h:1264</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_constraint_proto_html_ad653c55b371ae98444295965c6622ddb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_constraint_proto.html#ad653c55b371ae98444295965c6622ddb">operations_research::sat::ConstraintProto::mutable_linear</a></div><div class="ttdeci">::operations_research::sat::LinearConstraintProto * mutable_linear()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l10254">cp_model.pb.h:10254</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_ac01de597eeeff5521a8bf54568bf1373"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ac01de597eeeff5521a8bf54568bf1373">operations_research::sat::CpModelProto::add_constraints</a></div><div class="ttdeci">::operations_research::sat::ConstraintProto * add_constraints()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12101">cp_model.pb.h:12101</a></div></div>
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<div class="ttc" id="cp__model__utils_8h_html"><div class="ttname"><a href="cp__model__utils_8h.html">cp_model_utils.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_a2787b866382b560920d55ce5cf129920"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a2787b866382b560920d55ce5cf129920">operations_research::sat::CpModelProto::objective</a></div><div class="ttdeci">const ::operations_research::sat::CpObjectiveProto & objective() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12130">cp_model.pb.h:12130</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a50faf32570e4f9cd348c797231fe35e0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a50faf32570e4f9cd348c797231fe35e0">operations_research::sat::CpObjectiveProto::coeffs</a></div><div class="ttdeci">::PROTOBUF_NAMESPACE_ID::int64 coeffs(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11295">cp_model.pb.h:11295</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_domain_html_a835826c4c5129b74553042a357a721ff"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a835826c4c5129b74553042a357a721ff">operations_research::Domain::IntersectionWith</a></div><div class="ttdeci">Domain IntersectionWith(const Domain &domain) const</div><div class="ttdoc">Returns the intersection of D and domain.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00297">sorted_interval_list.cc:297</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a06a99a40cbd48fec5a10b7096f0a027d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a06a99a40cbd48fec5a10b7096f0a027d">operations_research::sat::CpObjectiveProto::clear_coeffs</a></div><div class="ttdeci">void clear_coeffs()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11289">cp_model.pb.h:11289</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_a777a6e330a22a8889389cb9b9c9f12d6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#a777a6e330a22a8889389cb9b9c9f12d6">operations_research::sat::CpModelProto::has_objective</a></div><div class="ttdeci">bool has_objective() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12116">cp_model.pb.h:12116</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_variable_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_variable_proto.html">operations_research::sat::IntegerVariableProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l00268">cp_model.pb.h:268</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_domain_html"><div class="ttname"><a href="classoperations__research_1_1_domain.html">operations_research::Domain</a></div><div class="ttdoc">We call domain any subset of Int64 = [kint64min, kint64max].</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8h_source.html#l00081">sorted_interval_list.h:81</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a901c19b12842f8af153e588a689a90b5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a901c19b12842f8af153e588a689a90b5">operations_research::sat::FillDomainInProto</a></div><div class="ttdeci">void FillDomainInProto(const Domain &domain, ProtoWithDomain *proto)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00093">cp_model_utils.h:93</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a44f2e1631cdbf3b9a89a8afa8acb8ebd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a44f2e1631cdbf3b9a89a8afa8acb8ebd">operations_research::sat::CpObjectiveProto::clear_domain</a></div><div class="ttdeci">void clear_domain()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11376">cp_model.pb.h:11376</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a76c521af56ab0e96eb06deeb679f46f7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a76c521af56ab0e96eb06deeb679f46f7">operations_research::sat::CpObjectiveProto::vars_size</a></div><div class="ttdeci">int vars_size() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11239">cp_model.pb.h:11239</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_ad3badc7aa3d94e81e0126edbfa452fda"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">operations_research::sat::CpModelProto::mutable_objective</a></div><div class="ttdeci">::operations_research::sat::CpObjectiveProto * mutable_objective()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12177">cp_model.pb.h:12177</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_af02334eb54337092e11b9a74312a4c25"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#af02334eb54337092e11b9a74312a4c25">operations_research::sat::CpObjectiveProto::set_scaling_factor</a></div><div class="ttdeci">void set_scaling_factor(double value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11364">cp_model.pb.h:11364</a></div></div>
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<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>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_variable_proto_html_aa9cb4e4ba977c364365487c63ed32446"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_variable_proto.html#aa9cb4e4ba977c364365487c63ed32446">operations_research::sat::IntegerVariableProto::domain</a></div><div class="ttdeci">::PROTOBUF_NAMESPACE_ID::int64 domain(int index) const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l06777">cp_model.pb.h:6777</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a21831f6f427a84bea58317eea88aa1fa"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a21831f6f427a84bea58317eea88aa1fa">operations_research::sat::EncodeObjectiveAsSingleVariable</a></div><div class="ttdeci">void EncodeObjectiveAsSingleVariable(CpModelProto *cp_model)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__objective_8cc_source.html#l00023">cp_model_objective.cc:23</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_a9e32504c3f1bddb0f25f1386ecf7987b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#a9e32504c3f1bddb0f25f1386ecf7987b">operations_research::sat::CpObjectiveProto::scaling_factor</a></div><div class="ttdeci">double scaling_factor() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11356">cp_model.pb.h:11356</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_ab1240060466ba48a36a4b36379bce26a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab1240060466ba48a36a4b36379bce26a">operations_research::sat::ReadDomainFromProto</a></div><div class="ttdeci">Domain ReadDomainFromProto(const ProtoWithDomain &proto)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00104">cp_model_utils.h:104</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_variable_proto_html_a0cf3e2ef19d1e580d07b8c50d95cfa1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_variable_proto.html#a0cf3e2ef19d1e580d07b8c50d95cfa1e">operations_research::sat::IntegerVariableProto::domain_size</a></div><div class="ttdeci">int domain_size() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l06768">cp_model.pb.h:6768</a></div></div>
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<div class="ttc" id="cp__model__objective_8h_html"><div class="ttname"><a href="cp__model__objective_8h.html">cp_model_objective.h</a></div></div>
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<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>
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