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690 lines
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<div class="headertitle"><div class="title">precedences.h</div></div>
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<a href="precedences_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_PRECEDENCES_H_</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_SAT_PRECEDENCES_H_</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <deque></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <functional></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "absl/container/inlined_vector.h"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "absl/strings/string_view.h"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "absl/types/span.h"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>"</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include "<a class="code" href="macros_8h.html">ortools/base/macros.h</a>"</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include "<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include "<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>"</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include "<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>"</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include "<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>"</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include "<a class="code" href="sat__solver_8h.html">ortools/sat/sat_solver.h</a>"</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include "<a class="code" href="bitset_8h.html">ortools/util/bitset.h</a>"</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include "<a class="code" href="strong__integers_8h.html">ortools/util/strong_integers.h</a>"</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// This class implement a propagator on simple inequalities between integer</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">// variables of the form (i1 + offset <= i2). The offset can be constant or</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// given by the value of a third integer variable. Offsets can also be negative.</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">//</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// The algorithm works by mapping the problem onto a graph where the edges carry</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">// the offset and the nodes correspond to one of the two bounds of an integer</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">// variable (lower_bound or -upper_bound). It then find the fixed point using an</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">// incremental variant of the Bellman-Ford(-Tarjan) algorithm.</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">//</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">// This is also known as an "integer difference logic theory" in the SMT world.</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">// Another word is "separation logic".</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">//</span></div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// TODO(user): We could easily generalize the code to support any relation of</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">// the form a*X + b*Y + c*Z >= rhs (or <=). Do that since this class should be</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">// a lot faster at propagating small linear inequality than the generic</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">// propagator and the overhead of supporting coefficient should not be too bad.</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html"> 54</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abad6589aa3f099fb7024ff6a2ee36740"> 56</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abad6589aa3f099fb7024ff6a2ee36740">PrecedencesPropagator</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> : <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a>(<span class="stringliteral">"PrecedencesPropagator"</span>),</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> trail_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>>()),</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> integer_trail_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>()),</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> watcher_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>>()),</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> watcher_id_(watcher_->Register(this)) {</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>>()->AddPropagator(<span class="keyword">this</span>);</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a1eb60e3eca768de339988b37c6f1fd0b">RegisterWatcher</a>(&modified_vars_);</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> watcher_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adc5598223a363c10d95c00395145bcc6">SetPropagatorPriority</a>(watcher_id_, 0);</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() final;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail) final;</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ae20e3965a974e3a5fe816c033a94e568">Untrail</a>(const <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>& trail, <span class="keywordtype">int</span> trail_index) final;</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// Propagates all the outgoing arcs of the given variable (and only those). It</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// is more efficient to do all these propagation in one go by calling</span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// Propagate(), but for scheduling problem, we wants to propagate right away</span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// the end of an interval when its start moved.</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#af3c64e10aa2bb2cc1d3615d800f7c71c">PropagateOutgoingArcs</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// Add a precedence relation (i1 + offset <= i2) between integer variables.</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// Important: The optionality of the variable should be marked BEFORE this</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// is called.</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#aa97e673a3c2e15343be943e4b9267fbf">AddPrecedence</a>(IntegerVariable i1, IntegerVariable i2);</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a7bda671267128f7c8f28d85a3e191103">AddPrecedenceWithOffset</a>(IntegerVariable i1, IntegerVariable i2,</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> IntegerValue offset);</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abcd500e5d877b7f02d2358b7e7e5fdd1">AddPrecedenceWithVariableOffset</a>(IntegerVariable i1, IntegerVariable i2,</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> IntegerVariable offset_var);</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// Same as above, but the relation is only true when the given literal is.</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a1565f1c871fd2efe2b4bc30cb84d0872">AddConditionalPrecedence</a>(IntegerVariable i1, IntegerVariable i2,</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l);</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32">AddConditionalPrecedenceWithOffset</a>(IntegerVariable i1,</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> IntegerVariable i2,</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> IntegerValue offset, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l);</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// Generic function that cover all of the above case and more.</span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">AddPrecedenceWithAllOptions</a>(IntegerVariable i1, IntegerVariable i2,</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> IntegerValue offset,</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> IntegerVariable offset_var,</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <a class="code hl_namespace" href="namespaceabsl.html">absl</a>::Span<const <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>> presence_literals);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// Finds all the IntegerVariable that are "after" at least two of the</span></div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// IntegerVariable in vars. Returns a vector of these precedences relation</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// sorted by IntegerPrecedences.var so that it is efficient to find all the</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// IntegerVariable "before" another one.</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// Note that we only consider direct precedences here. Given our usage, it may</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// be better to compute the full reachability in the precedence graph, but in</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// pratice that may be too slow.</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// Note that the IntegerVariable in the vector are also returned in</span></div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// topological order for a more efficient propagation in</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// DisjunctivePrecedences::Propagate() where this is used.</span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// Important: For identical vars, the entry are sorted by index.</span></div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html"> 114</a></span> struct <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html">IntegerPrecedences</a> {</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#a750b5d744c39a06bfb13e6eb010e35d0"> 115</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>; <span class="comment">// position in vars.</span></div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#ab6516f556b715738034b30d290c40214"> 116</a></span> IntegerVariable <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#ab6516f556b715738034b30d290c40214">var</a>; <span class="comment">// An IntegerVariable that is >= to vars[index].</span></div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#aa34933f5ae5cfa4c08158d3f2e275d29"> 117</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#aa34933f5ae5cfa4c08158d3f2e275d29">arc_index</a>; <span class="comment">// Used by AddPrecedenceReason().</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#acd07f8397a2e61932c8ee17a4e300e23"> 118</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>; <span class="comment">// we have: vars[index] + offset <= var</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> };</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a880ad5f7514aee33f81302d8af2a7be2">ComputePrecedences</a>(<span class="keyword">const</span> std::vector<IntegerVariable>& vars,</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::vector<IntegerPrecedences>* output);</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a09ebe3a2f1825d6366649cd157e5020f">AddPrecedenceReason</a>(<span class="keywordtype">int</span> arc_index, IntegerValue min_offset,</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::vector<Literal>* literal_reason,</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::vector<IntegerLiteral>* integer_reason) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// Advanced usage. To be called once all the constraints have been added to</span></div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="comment">// the model. This will loop over all "node" in this class, and if one of its</span></div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// optional incoming arcs must be chosen, it will add a corresponding</span></div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// GreaterThanAtLeastOneOfConstraint(). Returns the number of added</span></div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// constraint.</span></div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// TODO(user): This can be quite slow, add some kind of deterministic limit</span></div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// so that we can use it all the time.</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ab802de47d15374aab8e3721d5fc508e5">AddGreaterThanAtLeastOneOfConstraints</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> DEFINE_STRONG_INDEX_TYPE(<a class="code hl_typedef" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a>);</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> DEFINE_STRONG_INDEX_TYPE(OptionalArcIndex);</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// Given an existing clause, sees if it can be used to add "greater than at</span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// least one of" type of constraints. Returns the number of such constraint</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// added.</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordtype">int</span> AddGreaterThanAtLeastOneOfConstraintsFromClause(</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">const</span> absl::Span<const Literal> clause, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// Another approach for AddGreaterThanAtLeastOneOfConstraints(), this one</span></div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// might be a bit slow as it relies on the propagation engine to detect</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// clauses between incoming arcs presence literals.</span></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// Returns the number of added constraints.</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordtype">int</span> AddGreaterThanAtLeastOneOfConstraintsWithClauseAutoDetection(</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="comment">// Information about an individual arc.</span></div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keyword">struct </span>ArcInfo {</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> IntegerVariable tail_var;</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> IntegerVariable head_var;</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> IntegerValue offset;</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> IntegerVariable offset_var; <span class="comment">// kNoIntegerVariable if none.</span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">// This arc is "present" iff all these literals are true.</span></div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> absl::InlinedVector<Literal, 6> presence_literals;</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// Used temporarily by our implementation of the Bellman-Ford algorithm. It</span></div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">// should be false at the beginning of BellmanFordTarjan().</span></div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">mutable</span> <span class="keywordtype">bool</span> is_marked;</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> };</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// Internal functions to add new precedence relations.</span></div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="comment">// Note that internally, we only propagate lower bounds, so each time we add</span></div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// an arc, we actually create two of them: one on the given variables, and one</span></div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// on their negation.</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">void</span> AdjustSizeFor(IntegerVariable i);</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordtype">void</span> AddArc(IntegerVariable <a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>, IntegerVariable <a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>, IntegerValue offset,</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> IntegerVariable offset_var,</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> absl::Span<const Literal> presence_literals);</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// Enqueue a new lower bound for the variable arc.head_lb that was deduced</span></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="comment">// from the current value of arc.tail_lb and the offset of this arc.</span></div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordtype">bool</span> EnqueueAndCheck(<span class="keyword">const</span> ArcInfo& <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>, IntegerValue new_head_lb,</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> IntegerValue ArcOffset(<span class="keyword">const</span> ArcInfo& <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// Inspect all the optional arcs that needs inspection (to stay sparse) and</span></div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// check if their presence literal can be propagated to false.</span></div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordtype">void</span> PropagateOptionalArcs(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// The core algorithm implementation is split in these functions. One must</span></div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// first call InitializeBFQueueWithModifiedNodes() that will push all the</span></div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// IntegerVariable whose lower bound has been modified since the last call.</span></div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// Then, BellmanFordTarjan() will take care of all the propagation and returns</span></div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// false in case of conflict. Internally, it uses DisassembleSubtree() which</span></div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// is the Tarjan variant to detect a possible positive cycle. Before exiting,</span></div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="comment">// it will call CleanUpMarkedArcsAndParents().</span></div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="comment">// The Tarjan version of the Bellam-Ford algorithm is really nice in our</span></div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// context because it was really easy to make it incremental. Moreover, it</span></div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// supports batch increment!</span></div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// This implementation is kind of unique because of our context and the fact</span></div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// that it is incremental, but a good reference is "Negative-cycle detection</span></div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// algorithms", Boris V. Cherkassky, Andrew V. Goldberg, 1996,</span></div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// http://people.cs.nctu.edu.tw/~tjshen/doc/ne.pdf</span></div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordtype">void</span> InitializeBFQueueWithModifiedNodes();</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keywordtype">bool</span> BellmanFordTarjan(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordtype">bool</span> DisassembleSubtree(<span class="keywordtype">int</span> source, <span class="keywordtype">int</span> target,</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> std::vector<bool>* can_be_skipped);</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordtype">void</span> AnalyzePositiveCycle(<a class="code hl_typedef" href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">ArcIndex</a> first_arc, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail,</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> std::vector<Literal>* must_be_all_true,</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> std::vector<Literal>* literal_reason,</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> std::vector<IntegerLiteral>* integer_reason);</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordtype">void</span> CleanUpMarkedArcsAndParents();</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> </div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// Loops over all the arcs and verify that there is no propagation left.</span></div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// This is only meant to be used in a DCHECK() and is not optimized.</span></div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordtype">bool</span> NoPropagationLeft(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>& trail) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// External class needed to get the IntegerVariable lower bounds and Enqueue</span></div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// new ones.</span></div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail_;</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher_;</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordtype">int</span> watcher_id_;</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> </div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="comment">// The key to our incrementality. This will be cleared once the propagation</span></div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="comment">// is done, and automatically updated by the integer_trail_ with all the</span></div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="comment">// IntegerVariable that changed since the last clear.</span></div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset<IntegerVariable></a> modified_vars_;</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> </div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="comment">// An arc needs to be inspected for propagation (i.e. is impacted) if its</span></div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="comment">// tail_var changed. If an arc has 3 variables (tail, offset, head), it will</span></div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="comment">// appear as 6 different entries in the arcs_ vector, one for each variable</span></div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="comment">// and its negation, each time with a different tail.</span></div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// TODO(user): rearranging the index so that the arc of the same node are</span></div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="comment">// consecutive like in StaticGraph should have a big performance impact.</span></div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="comment">// TODO(user): We do not need to store ArcInfo.tail_var here.</span></div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, absl::InlinedVector<ArcIndex, 6></a>></div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> impacted_arcs_;</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<ArcIndex, ArcInfo></a> arcs_;</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// This is similar to impacted_arcs_/arcs_ but it is only used to propagate</span></div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="comment">// one of the presence literals when the arc cannot be present. An arc needs</span></div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="comment">// to appear only once in potential_arcs_, but it will be referenced by</span></div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// all its variable in impacted_potential_arcs_.</span></div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, absl::InlinedVector<OptionalArcIndex, 6></a>></div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> impacted_potential_arcs_;</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<OptionalArcIndex, ArcInfo></a> potential_arcs_;</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> </div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="comment">// Temporary vectors used by ComputePrecedences().</span></div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, int></a> var_to_degree_;</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, int></a> var_to_last_index_;</div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keyword">struct </span>SortedVar {</div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>;</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keywordtype">bool</span> operator<(<span class="keyword">const</span> SortedVar& other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> < other.lower_bound;</div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> }</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> };</div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> std::vector<SortedVar> tmp_sorted_vars_;</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> std::vector<IntegerPrecedences> tmp_precedences_;</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="comment">// Each time a literal becomes true, this list the set of arcs for which we</span></div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// need to decrement their count. When an arc count reach zero, it must be</span></div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// added to the set of impacted_arcs_. Note that counts never becomes</span></div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="comment">// negative.</span></div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// TODO(user): Try a one-watcher approach instead. Note that in most cases</span></div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="comment">// arc should be controlled by 1 or 2 literals, so not sure it is worth it.</span></div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<LiteralIndex, absl::InlinedVector<ArcIndex, 6></a>></div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> literal_to_new_impacted_arcs_;</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<ArcIndex, int></a> arc_counts_;</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> </div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// Temp vectors to hold the reason of an assignment.</span></div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> std::vector<Literal> literal_reason_;</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> std::vector<IntegerLiteral> integer_reason_;</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="comment">// Temp vectors for the Bellman-Ford algorithm. The graph in which this</span></div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="comment">// algorithm works is in one to one correspondence with the IntegerVariable in</span></div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="comment">// impacted_arcs_.</span></div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> std::deque<int> bf_queue_;</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> std::vector<bool> bf_in_queue_;</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> std::vector<bool> bf_can_be_skipped_;</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> std::vector<ArcIndex> bf_parent_arc_of_;</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> </div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="comment">// Temp vector used by the tree traversal in DisassembleSubtree().</span></div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> std::vector<int> tmp_vector_;</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> </div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abad6589aa3f099fb7024ff6a2ee36740">PrecedencesPropagator</a>);</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span>};</div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> </div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span><span class="comment">// =============================================================================</span></div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span><span class="comment">// Implementation of the small API functions below.</span></div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span><span class="comment">// =============================================================================</span></div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> </div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#aa97e673a3c2e15343be943e4b9267fbf"> 298</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#aa97e673a3c2e15343be943e4b9267fbf">PrecedencesPropagator::AddPrecedence</a>(IntegerVariable i1,</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> IntegerVariable i2) {</div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> AddArc(i1, i2, <span class="comment">/*offset=*/</span>IntegerValue(0), <span class="comment">/*offset_var=*/</span><a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>,</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> {});</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span>}</div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> </div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a7bda671267128f7c8f28d85a3e191103"> 304</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a7bda671267128f7c8f28d85a3e191103">PrecedencesPropagator::AddPrecedenceWithOffset</a>(</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> IntegerVariable i1, IntegerVariable i2, IntegerValue offset) {</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> AddArc(i1, i2, offset, <span class="comment">/*offset_var=*/</span><a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>, {});</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span>}</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> </div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a1565f1c871fd2efe2b4bc30cb84d0872"> 309</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a1565f1c871fd2efe2b4bc30cb84d0872">PrecedencesPropagator::AddConditionalPrecedence</a>(IntegerVariable i1,</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> IntegerVariable i2,</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l) {</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> AddArc(i1, i2, <span class="comment">/*offset=*/</span>IntegerValue(0), <span class="comment">/*offset_var=*/</span><a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>,</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> {l});</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span>}</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32"> 316</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32">PrecedencesPropagator::AddConditionalPrecedenceWithOffset</a>(</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> IntegerVariable i1, IntegerVariable i2, IntegerValue offset, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l) {</div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> AddArc(i1, i2, offset, <span class="comment">/*offset_var=*/</span><a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>, {l});</div>
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|
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span>}</div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> </div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abcd500e5d877b7f02d2358b7e7e5fdd1"> 321</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abcd500e5d877b7f02d2358b7e7e5fdd1">PrecedencesPropagator::AddPrecedenceWithVariableOffset</a>(</div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> IntegerVariable i1, IntegerVariable i2, IntegerVariable offset_var) {</div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> AddArc(i1, i2, <span class="comment">/*offset=*/</span>IntegerValue(0), offset_var, {});</div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span>}</div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> </div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04"> 326</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">PrecedencesPropagator::AddPrecedenceWithAllOptions</a>(</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> IntegerVariable i1, IntegerVariable i2, IntegerValue offset,</div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> IntegerVariable offset_var, absl::Span<const Literal> presence_literals) {</div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> AddArc(i1, i2, offset, offset_var, presence_literals);</div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span>}</div>
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<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> </div>
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<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span><span class="comment">// =============================================================================</span></div>
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<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span><span class="comment">// Model based functions.</span></div>
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<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span><span class="comment">// =============================================================================</span></div>
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<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span><span class="comment">// a <= b.</span></div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4e17af099eed64300c03a7bc945171f4"> 337</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">LowerOrEqual</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>()->AddPrecedence(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>);</div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> };</div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span>}</div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> </div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span><span class="comment">// a + offset <= b.</span></div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2656f8b95d75b4ba12494e5fc3bc573d"> 345</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2656f8b95d75b4ba12494e5fc3bc573d">LowerOrEqualWithOffset</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> int64_t offset) {</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>()->AddPrecedenceWithOffset(</div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, IntegerValue(offset));</div>
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|
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> };</div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span>}</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> </div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span><span class="comment">// a + b <= ub.</span></div>
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<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a57407c5ee00faeb3c3c99002dc055dcc"> 355</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a57407c5ee00faeb3c3c99002dc055dcc">Sum2LowerOrEqual</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
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<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
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|
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> int64_t ub) {</div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2656f8b95d75b4ba12494e5fc3bc573d">LowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>), -ub);</div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span>}</div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> </div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span><span class="comment">// l => (a + b <= ub).</span></div>
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|
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab5fec19d34c28d2540489385eb94bb8b"> 362</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab5fec19d34c28d2540489385eb94bb8b">ConditionalSum2LowerOrEqual</a>(</div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, int64_t ub,</div>
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|
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keyword">const</span> std::vector<Literal>& enforcement_literals) {</div>
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|
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>* p = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>();</div>
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|
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">AddPrecedenceWithAllOptions</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>), IntegerValue(-ub),</div>
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<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>, enforcement_literals);</div>
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<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> };</div>
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<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span>}</div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> </div>
|
|
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span><span class="comment">// a + b + c <= ub.</span></div>
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|
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#abb51ad4f1531d98c196591333500a4f9"> 373</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#abb51ad4f1531d98c196591333500a4f9">Sum3LowerOrEqual</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
|
|
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
|
|
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> IntegerVariable c,</div>
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<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> int64_t ub) {</div>
|
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<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>* p = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>();</div>
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<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">AddPrecedenceWithAllOptions</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(c), IntegerValue(-ub), <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, {});</div>
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<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> };</div>
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<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span>}</div>
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<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> </div>
|
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<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span><span class="comment">// l => (a + b + c <= ub).</span></div>
|
|
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#af36dac1903d501c345320387fd9a5961"> 384</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af36dac1903d501c345320387fd9a5961">ConditionalSum3LowerOrEqual</a>(</div>
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|
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, IntegerVariable c, int64_t ub,</div>
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|
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keyword">const</span> std::vector<Literal>& enforcement_literals) {</div>
|
|
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>* p = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>();</div>
|
|
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">AddPrecedenceWithAllOptions</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(c), IntegerValue(-ub), <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
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|
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> enforcement_literals);</div>
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|
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> };</div>
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|
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span>}</div>
|
|
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> </div>
|
|
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span><span class="comment">// a >= b.</span></div>
|
|
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a46ee72b20ff7dd9d0285e8fb535b8229"> 395</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab3ba1ab2a4a6cdc0ea4324d409ddbe7e">GreaterOrEqual</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
|
|
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
|
|
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>()->AddPrecedence(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>);</div>
|
|
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> };</div>
|
|
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span>}</div>
|
|
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> </div>
|
|
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span><span class="comment">// a == b.</span></div>
|
|
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a385d140d4f7ca2544f0ef33e71965793"> 403</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a134ba4c37e543cb80c698555b6ae89f8">Equality</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
|
|
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
|
|
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">LowerOrEqual</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>));</div>
|
|
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">LowerOrEqual</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>));</div>
|
|
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> };</div>
|
|
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span>}</div>
|
|
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> </div>
|
|
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span><span class="comment">// a + offset == b.</span></div>
|
|
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a768255abe58acbda21da0438875ed315"> 412</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a768255abe58acbda21da0438875ed315">EqualityWithOffset</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
|
|
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
|
|
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> int64_t offset) {</div>
|
|
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2656f8b95d75b4ba12494e5fc3bc573d">LowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, offset));</div>
|
|
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2656f8b95d75b4ba12494e5fc3bc573d">LowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, -offset));</div>
|
|
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> };</div>
|
|
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span>}</div>
|
|
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> </div>
|
|
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span><span class="comment">// is_le => (a + offset <= b).</span></div>
|
|
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#af9deb88b5fd44c96982ebf16eee8ddd2"> 422</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af9deb88b5fd44c96982ebf16eee8ddd2">ConditionalLowerOrEqualWithOffset</a>(</div>
|
|
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, int64_t offset, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le) {</div>
|
|
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>* p = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>();</div>
|
|
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32">AddConditionalPrecedenceWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, IntegerValue(offset), is_le);</div>
|
|
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> };</div>
|
|
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span>}</div>
|
|
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> </div>
|
|
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span><span class="comment">// is_le => (a <= b).</span></div>
|
|
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2ec8226edd772c3e1f82f157c6da4bc0"> 431</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2ec8226edd772c3e1f82f157c6da4bc0">ConditionalLowerOrEqual</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
|
|
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
|
|
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le) {</div>
|
|
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af9deb88b5fd44c96982ebf16eee8ddd2">ConditionalLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, 0, is_le);</div>
|
|
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span>}</div>
|
|
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> </div>
|
|
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span><span class="comment">// literals => (a <= b).</span></div>
|
|
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a81f457c9232e1e7e1497894927fb2a91"> 438</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2ec8226edd772c3e1f82f157c6da4bc0">ConditionalLowerOrEqual</a>(</div>
|
|
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, absl::Span<const Literal> literals) {</div>
|
|
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>* p = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>();</div>
|
|
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">AddPrecedenceWithAllOptions</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, IntegerValue(0),</div>
|
|
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> <span class="comment">/*offset_var*/</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>, literals);</div>
|
|
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> };</div>
|
|
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span>}</div>
|
|
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> </div>
|
|
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span><span class="comment">// is_le <=> (a + offset <= b).</span></div>
|
|
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04"> 448</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04">ReifiedLowerOrEqualWithOffset</a>(</div>
|
|
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, int64_t offset, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le) {</div>
|
|
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>* p = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_precedences_propagator.html">PrecedencesPropagator</a>>();</div>
|
|
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32">AddConditionalPrecedenceWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, IntegerValue(offset), is_le);</div>
|
|
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> </div>
|
|
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="comment">// The negation of (a + offset <= b) is (a + offset > b) which can be</span></div>
|
|
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <span class="comment">// rewritten as (b + 1 - offset <= a).</span></div>
|
|
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> p-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32">AddConditionalPrecedenceWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerValue(1 - offset),</div>
|
|
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> is_le.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div>
|
|
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> };</div>
|
|
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span>}</div>
|
|
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> </div>
|
|
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span><span class="comment">// is_eq <=> (a == b).</span></div>
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<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aff5a9d5055cea860995e5a6a3b7da66e"> 462</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aff5a9d5055cea860995e5a6a3b7da66e">ReifiedEquality</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
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<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
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<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_eq) {</div>
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<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> <span class="comment">// We creates two extra Boolean variables in this case.</span></div>
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<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> <span class="comment">// TODO(user): Avoid creating them if we already have some literal that</span></div>
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<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> <span class="comment">// have the same meaning. For instance if a client also wanted to know if</span></div>
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<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> <span class="comment">// a <= b, he would have called ReifiedLowerOrEqualWithOffset() directly.</span></div>
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<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_ge = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa6d55689d1854993da4a2e31c5539905">ReifiedBoolAnd</a>({is_le, is_ge}, is_eq));</div>
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<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04">ReifiedLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, 0, is_le));</div>
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<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04">ReifiedLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, 0, is_ge));</div>
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<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> };</div>
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<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span>}</div>
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<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> </div>
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<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span><span class="comment">// is_eq <=> (a + offset == b).</span></div>
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<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae8a0162e67588d6c67df440eedf447db"> 480</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae8a0162e67588d6c67df440eedf447db">ReifiedEqualityWithOffset</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
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<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
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<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> int64_t offset,</div>
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<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_eq) {</div>
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<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="comment">// We creates two extra Boolean variables in this case.</span></div>
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<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> <span class="comment">// TODO(user): Avoid creating them if we already have some literal that</span></div>
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<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="comment">// have the same meaning. For instance if a client also wanted to know if</span></div>
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<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="comment">// a <= b, he would have called ReifiedLowerOrEqualWithOffset() directly.</span></div>
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<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_ge = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa6d55689d1854993da4a2e31c5539905">ReifiedBoolAnd</a>({is_le, is_ge}, is_eq));</div>
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<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04">ReifiedLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, offset, is_le));</div>
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<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04">ReifiedLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, -offset, is_ge));</div>
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<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> };</div>
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<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span>}</div>
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<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> </div>
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<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span><span class="comment">// a != b.</span></div>
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<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a622bbe409462c5255a22c68c083912eb"> 499</a></span><span class="keyword">inline</span> std::function<void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a622bbe409462c5255a22c68c083912eb">NotEqual</a>(IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
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<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> IntegerVariable <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
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<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> <span class="comment">// We have two options (is_gt or is_lt) and one must be true.</span></div>
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<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_lt = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_gt = is_lt.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>();</div>
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<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af9deb88b5fd44c96982ebf16eee8ddd2">ConditionalLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, 1, is_lt));</div>
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<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af9deb88b5fd44c96982ebf16eee8ddd2">ConditionalLowerOrEqualWithOffset</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, 1, is_gt));</div>
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<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> };</div>
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<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span>}</div>
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<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> </div>
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<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> </div>
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<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_PRECEDENCES_H_</span></div>
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<div class="ttc" id="abitset_8h_html"><div class="ttname"><a href="bitset_8h.html">bitset.h</a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector</a></div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00076">strong_vector.h:76</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_sparse_bitset_html"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html">operations_research::SparseBitset< IntegerVariable ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">operations_research::sat::GenericLiteralWatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01228">integer.h:1228</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_adc5598223a363c10d95c00395145bcc6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adc5598223a363c10d95c00395145bcc6">operations_research::sat::GenericLiteralWatcher::SetPropagatorPriority</a></div><div class="ttdeci">void SetPropagatorPriority(int id, int priority)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02051">integer.cc:2051</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00620">integer.h:620</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a1eb60e3eca768de339988b37c6f1fd0b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a1eb60e3eca768de339988b37c6f1fd0b">operations_research::sat::IntegerTrail::RegisterWatcher</a></div><div class="ttdeci">void RegisterWatcher(SparseBitset< IntegerVariable > *p)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00917">integer.h:917</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00067">sat_base.h:67</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00094">sat_base.h:94</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00042">sat/model.h:42</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html">operations_research::sat::PrecedencesPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00054">precedences.h:54</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_a09ebe3a2f1825d6366649cd157e5020f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a09ebe3a2f1825d6366649cd157e5020f">operations_research::sat::PrecedencesPropagator::AddPrecedenceReason</a></div><div class="ttdeci">void AddPrecedenceReason(int arc_index, IntegerValue min_offset, std::vector< Literal > *literal_reason, std::vector< IntegerLiteral > *integer_reason) const</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8cc_source.html#l00224">precedences.cc:224</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_a1565f1c871fd2efe2b4bc30cb84d0872"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a1565f1c871fd2efe2b4bc30cb84d0872">operations_research::sat::PrecedencesPropagator::AddConditionalPrecedence</a></div><div class="ttdeci">void AddConditionalPrecedence(IntegerVariable i1, IntegerVariable i2, Literal l)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00309">precedences.h:309</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_a5979d0d9a10950afe6bb1d4423b41b32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a5979d0d9a10950afe6bb1d4423b41b32">operations_research::sat::PrecedencesPropagator::AddConditionalPrecedenceWithOffset</a></div><div class="ttdeci">void AddConditionalPrecedenceWithOffset(IntegerVariable i1, IntegerVariable i2, IntegerValue offset, Literal l)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00316">precedences.h:316</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_a7bda671267128f7c8f28d85a3e191103"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a7bda671267128f7c8f28d85a3e191103">operations_research::sat::PrecedencesPropagator::AddPrecedenceWithOffset</a></div><div class="ttdeci">void AddPrecedenceWithOffset(IntegerVariable i1, IntegerVariable i2, IntegerValue offset)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00304">precedences.h:304</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_a863fce270e52490f300fa1fe27a7cb04"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a863fce270e52490f300fa1fe27a7cb04">operations_research::sat::PrecedencesPropagator::AddPrecedenceWithAllOptions</a></div><div class="ttdeci">void AddPrecedenceWithAllOptions(IntegerVariable i1, IntegerVariable i2, IntegerValue offset, IntegerVariable offset_var, absl::Span< const Literal > presence_literals)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00326">precedences.h:326</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_a880ad5f7514aee33f81302d8af2a7be2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#a880ad5f7514aee33f81302d8af2a7be2">operations_research::sat::PrecedencesPropagator::ComputePrecedences</a></div><div class="ttdeci">void ComputePrecedences(const std::vector< IntegerVariable > &vars, std::vector< IntegerPrecedences > *output)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8cc_source.html#l00147">precedences.cc:147</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_aa97e673a3c2e15343be943e4b9267fbf"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#aa97e673a3c2e15343be943e4b9267fbf">operations_research::sat::PrecedencesPropagator::AddPrecedence</a></div><div class="ttdeci">void AddPrecedence(IntegerVariable i1, IntegerVariable i2)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00298">precedences.h:298</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_ab802de47d15374aab8e3721d5fc508e5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ab802de47d15374aab8e3721d5fc508e5">operations_research::sat::PrecedencesPropagator::AddGreaterThanAtLeastOneOfConstraints</a></div><div class="ttdeci">int AddGreaterThanAtLeastOneOfConstraints(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8cc_source.html#l00907">precedences.cc:907</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_abad6589aa3f099fb7024ff6a2ee36740"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abad6589aa3f099fb7024ff6a2ee36740">operations_research::sat::PrecedencesPropagator::PrecedencesPropagator</a></div><div class="ttdeci">PrecedencesPropagator(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00056">precedences.h:56</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_abcd500e5d877b7f02d2358b7e7e5fdd1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#abcd500e5d877b7f02d2358b7e7e5fdd1">operations_research::sat::PrecedencesPropagator::AddPrecedenceWithVariableOffset</a></div><div class="ttdeci">void AddPrecedenceWithVariableOffset(IntegerVariable i1, IntegerVariable i2, IntegerVariable offset_var)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00321">precedences.h:321</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::PrecedencesPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8cc_source.html#l00055">precedences.cc:55</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_ae20e3965a974e3a5fe816c033a94e568"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#ae20e3965a974e3a5fe816c033a94e568">operations_research::sat::PrecedencesPropagator::Untrail</a></div><div class="ttdeci">void Untrail(const Trail &trail, int trail_index) final</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8cc_source.html#l00123">precedences.cc:123</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_precedences_propagator_html_af3c64e10aa2bb2cc1d3615d800f7c71c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_precedences_propagator.html#af3c64e10aa2bb2cc1d3615d800f7c71c">operations_research::sat::PrecedencesPropagator::PropagateOutgoingArcs</a></div><div class="ttdeci">bool PropagateOutgoingArcs(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8cc_source.html#l00108">precedences.cc:108</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_propagator_interface_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html">operations_research::sat::PropagatorInterface</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01180">integer.h:1180</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_propagator.html">operations_research::sat::SatPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00448">sat_base.h:448</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00061">sat_solver.h:61</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00236">sat_base.h:236</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
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<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
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<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00136">gscip_solver.cc:136</a></div></div>
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<div class="ttc" id="agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
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<div class="ttc" id="alocal__search_8cc_html_a30b5726116ac85ea64777e5d6e333894"><div class="ttname"><a href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a></div><div class="ttdeci">int arc</div><div class="ttdef"><b>Definition:</b> <a href="local__search_8cc_source.html#l02751">local_search.cc:2751</a></div></div>
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<div class="ttc" id="amacros_8h_html"><div class="ttname"><a href="macros_8h.html">macros.h</a></div></div>
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<div class="ttc" id="anamespaceabsl_html"><div class="ttname"><a href="namespaceabsl.html">absl</a></div><div class="ttdef"><b>Definition:</b> <a href="cleanup_8h_source.html#l00022">cleanup.h:22</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a134ba4c37e543cb80c698555b6ae89f8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a134ba4c37e543cb80c698555b6ae89f8">operations_research::sat::Equality</a></div><div class="ttdeci">std::function< void(Model *)> Equality(IntegerVariable v, int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01721">integer.h:1721</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2656f8b95d75b4ba12494e5fc3bc573d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2656f8b95d75b4ba12494e5fc3bc573d">operations_research::sat::LowerOrEqualWithOffset</a></div><div class="ttdeci">std::function< void(Model *)> LowerOrEqualWithOffset(IntegerVariable a, IntegerVariable b, int64_t offset)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00345">precedences.h:345</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2ec8226edd772c3e1f82f157c6da4bc0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2ec8226edd772c3e1f82f157c6da4bc0">operations_research::sat::ConditionalLowerOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> ConditionalLowerOrEqual(IntegerVariable a, IntegerVariable b, Literal is_le)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00431">precedences.h:431</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3cb95842130bc03177260ad20464bdbf"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">operations_research::sat::NewBooleanVariable</a></div><div class="ttdeci">std::function< BooleanVariable(Model *)> NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01608">integer.h:1608</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3f35d207f7fbd9abc30ced851352b069"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">operations_research::sat::LowerOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> LowerOrEqual(IntegerVariable v, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01706">integer.h:1706</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a57407c5ee00faeb3c3c99002dc055dcc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a57407c5ee00faeb3c3c99002dc055dcc">operations_research::sat::Sum2LowerOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> Sum2LowerOrEqual(IntegerVariable a, IntegerVariable b, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00355">precedences.h:355</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a622bbe409462c5255a22c68c083912eb"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a622bbe409462c5255a22c68c083912eb">operations_research::sat::NotEqual</a></div><div class="ttdeci">std::function< void(Model *)> NotEqual(IntegerVariable a, IntegerVariable b)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00499">precedences.h:499</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a768255abe58acbda21da0438875ed315"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a768255abe58acbda21da0438875ed315">operations_research::sat::EqualityWithOffset</a></div><div class="ttdeci">std::function< void(Model *)> EqualityWithOffset(IntegerVariable a, IntegerVariable b, int64_t offset)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00412">precedences.h:412</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa6d55689d1854993da4a2e31c5539905"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa6d55689d1854993da4a2e31c5539905">operations_research::sat::ReifiedBoolAnd</a></div><div class="ttdeci">std::function< void(Model *)> ReifiedBoolAnd(const std::vector< Literal > &literals, Literal r)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00999">sat_solver.h:999</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector< IntegerVariable > NegationOf(const std::vector< IntegerVariable > &vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00047">integer.cc:47</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab3ba1ab2a4a6cdc0ea4324d409ddbe7e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab3ba1ab2a4a6cdc0ea4324d409ddbe7e">operations_research::sat::GreaterOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> GreaterOrEqual(IntegerVariable v, int64_t lb)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01691">integer.h:1691</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab5fec19d34c28d2540489385eb94bb8b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab5fec19d34c28d2540489385eb94bb8b">operations_research::sat::ConditionalSum2LowerOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> ConditionalSum2LowerOrEqual(IntegerVariable a, IntegerVariable b, int64_t ub, const std::vector< Literal > &enforcement_literals)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00362">precedences.h:362</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_abb51ad4f1531d98c196591333500a4f9"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#abb51ad4f1531d98c196591333500a4f9">operations_research::sat::Sum3LowerOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> Sum3LowerOrEqual(IntegerVariable a, IntegerVariable b, IntegerVariable c, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00373">precedences.h:373</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae621dadb0d92aa47493f5207fd285b04"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae621dadb0d92aa47493f5207fd285b04">operations_research::sat::ReifiedLowerOrEqualWithOffset</a></div><div class="ttdeci">std::function< void(Model *)> ReifiedLowerOrEqualWithOffset(IntegerVariable a, IntegerVariable b, int64_t offset, Literal is_le)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00448">precedences.h:448</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae8a0162e67588d6c67df440eedf447db"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae8a0162e67588d6c67df440eedf447db">operations_research::sat::ReifiedEqualityWithOffset</a></div><div class="ttdeci">std::function< void(Model *)> ReifiedEqualityWithOffset(IntegerVariable a, IntegerVariable b, int64_t offset, Literal is_eq)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00480">precedences.h:480</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_af36dac1903d501c345320387fd9a5961"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af36dac1903d501c345320387fd9a5961">operations_research::sat::ConditionalSum3LowerOrEqual</a></div><div class="ttdeci">std::function< void(Model *)> ConditionalSum3LowerOrEqual(IntegerVariable a, IntegerVariable b, IntegerVariable c, int64_t ub, const std::vector< Literal > &enforcement_literals)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00384">precedences.h:384</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_af9deb88b5fd44c96982ebf16eee8ddd2"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af9deb88b5fd44c96982ebf16eee8ddd2">operations_research::sat::ConditionalLowerOrEqualWithOffset</a></div><div class="ttdeci">std::function< void(Model *)> ConditionalLowerOrEqualWithOffset(IntegerVariable a, IntegerVariable b, int64_t offset, Literal is_le)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00422">precedences.h:422</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aff5a9d5055cea860995e5a6a3b7da66e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aff5a9d5055cea860995e5a6a3b7da66e">operations_research::sat::ReifiedEquality</a></div><div class="ttdeci">std::function< void(Model *)> ReifiedEquality(IntegerVariable a, IntegerVariable b, Literal is_eq)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00462">precedences.h:462</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_aecf320bda6e95d1edaf3a546673e3e6b"><div class="ttname"><a href="namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b">operations_research::ArcIndex</a></div><div class="ttdeci">int32_t ArcIndex</div><div class="ttdef"><b>Definition:</b> <a href="ebert__graph_8h_source.html#l00202">ebert_graph.h:202</a></div></div>
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<div class="ttc" id="arouting__flow_8cc_html_a64e7efc5529154ba56903e75f5300990"><div class="ttname"><a href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a></div><div class="ttdeci">int64_t tail</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00149">routing_flow.cc:149</a></div></div>
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<div class="ttc" id="arouting__flow_8cc_html_afca32f65388659a4b0956496169488b4"><div class="ttname"><a href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a></div><div class="ttdeci">int64_t head</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00150">routing_flow.cc:150</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#a750b5d744c39a06bfb13e6eb010e35d0">operations_research::sat::PrecedencesPropagator::IntegerPrecedences::index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00115">precedences.h:115</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences_html_ab6516f556b715738034b30d290c40214"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_precedences_propagator_1_1_integer_precedences.html#ab6516f556b715738034b30d290c40214">operations_research::sat::PrecedencesPropagator::IntegerPrecedences::var</a></div><div class="ttdeci">IntegerVariable var</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00116">precedences.h:116</a></div></div>
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