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361 lines
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<a href="timetable_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_TIMETABLE_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_TIMETABLE_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 <vector></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</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="l00021" name="l00021"></a><span class="lineno"> 21</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="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "<a class="code" href="intervals_8h.html">ortools/sat/intervals.h</a>"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</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="l00024" name="l00024"></a><span class="lineno"> 24</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="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "<a class="code" href="rev_8h.html">ortools/util/rev.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="strong__integers_8h.html">ortools/util/strong_integers.h</a>"</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</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="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// Adds a reservoir constraint to the model. Note that to account for level not</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// containing zero at time zero, we might needs to create an artificial fixed</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// event.</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">//</span></div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">// This instantiate one or more ReservoirTimeTabling class to perform the</span></div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment">// propagation.</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0291403b5e2a3a0e097e22cf962299ae">AddReservoirConstraint</a>(std::vector<AffineExpression> times,</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> std::vector<IntegerValue> deltas,</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> std::vector<Literal> presences, int64_t min_level,</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> int64_t max_level, Model* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// The piecewise constant function must be below the given capacity. The initial</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">// function value is zero. Note that a negative capacity will thus be trivially</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">// infeasible.</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">//</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">// Note that we take for the definition of the function at time t to be the sum</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">// of all delta with time <= t. But because we check for the capacity over the</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">// full horizon, we could have taken < t with no behavior change.</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html"> 49</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html">ReservoirTimeTabling</a> : <span class="keyword">public</span> <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="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html#a354b002d12c90dab7cb40e1efef41e07">ReservoirTimeTabling</a>(<span class="keyword">const</span> std::vector<AffineExpression>& times,</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">const</span> std::vector<IntegerValue>& deltas,</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">const</span> std::vector<Literal>& presences,</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> IntegerValue <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</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="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// The rectangle will be ordered by start, and the end of each rectangle</span></div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// will be equal to the start of the next one. The height correspond to the</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// one from start (inclusive) until the next one (exclusive).</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">struct </span>ProfileRectangle {</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> ProfileRectangle() {}</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> ProfileRectangle(IntegerValue <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>, IntegerValue height)</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> : <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>(<a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>), height(height) {}</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> operator<(<span class="keyword">const</span> ProfileRectangle& other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> < other.start;</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</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">/* const */</span> IntegerValue <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> = IntegerValue(0);</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">/* const */</span> IntegerValue height = IntegerValue(0);</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> };</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// Builds the profile and increases the lower bound of the capacity</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// variable accordingly.</span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordtype">bool</span> BuildProfile();</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// Explanation of the profile minimum value at time t, eventually ignoring the</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// given event.</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> FillReasonForProfileAtGivenTime(IntegerValue t,</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordtype">int</span> event_to_ignore = -1);</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// Tries to tighten the min/max time of the given event depending on the sign</span></div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// of the delta associated with this event.</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">bool</span> TryToIncreaseMin(<span class="keywordtype">int</span> event);</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">bool</span> TryToDecreaseMax(<span class="keywordtype">int</span> event);</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Input.</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> std::vector<AffineExpression> times_;</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> std::vector<IntegerValue> deltas_;</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::vector<Literal> presences_;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> IntegerValue capacity_;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// Model class.</span></div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_variables_assignment.html">VariablesAssignment</a>& assignment_;</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</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="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// Temporary data.</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> std::vector<Literal> literal_reason_;</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> std::vector<IntegerLiteral> integer_reason_;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> std::vector<ProfileRectangle> profile_;</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span>};</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span><span class="comment">// A strongly quadratic version of Time Tabling filtering. This propagator</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="comment">// is similar to the CumulativeTimeTable propagator of the constraint solver.</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html"> 107</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html">TimeTablingPerTask</a> : <span class="keyword">public</span> <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="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html#aaa4ecf5818fadc0edcf62443f5d7664f">TimeTablingPerTask</a>(<span class="keyword">const</span> std::vector<AffineExpression>& demands,</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, <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="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">SchedulingConstraintHelper</a>* helper);</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<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="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// The rectangle will be ordered by start, and the end of each rectangle</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// will be equal to the start of the next one. The height correspond to the</span></div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// one from start (inclusive) until the next one (exclusive).</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">struct </span>ProfileRectangle {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="comment">/* const */</span> IntegerValue <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>;</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">/* const */</span> IntegerValue height;</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> ProfileRectangle(IntegerValue <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>, IntegerValue height)</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> : <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>(<a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>), height(height) {}</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordtype">bool</span> operator<(<span class="keyword">const</span> ProfileRectangle& other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> < other.start;</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> };</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// Builds the profile and increases the lower bound of the capacity</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="comment">// variable accordingly.</span></div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordtype">bool</span> BuildProfile();</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// Reverses the profile. This is needed to reuse a given profile to update</span></div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="comment">// both the start and end times.</span></div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordtype">void</span> ReverseProfile();</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> </div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// Tries to increase the minimum start time of each task according to the</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// current profile. This function can be called after ReverseProfile() and</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// ReverseVariables to update the maximum end time of each task.</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordtype">bool</span> SweepAllTasks(<span class="keywordtype">bool</span> is_forward);</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">// Tries to increase the minimum start time of task_id.</span></div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordtype">bool</span> SweepTask(<span class="keywordtype">int</span> task_id);</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// Updates the starting time of task_id to right and explain it. The reason is</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// all the mandatory parts contained in [left, right).</span></div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordtype">bool</span> UpdateStartingTime(<span class="keywordtype">int</span> task_id, IntegerValue left, IntegerValue right);</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">// Increases the minimum capacity to new_min and explain it. The reason is all</span></div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// the mandatory parts that overlap time.</span></div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordtype">bool</span> IncreaseCapacity(IntegerValue <a class="code hl_variable" href="resource_8cc.html#aee52de7b225665566aa47246b9d6b8fa">time</a>, IntegerValue new_min);</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> </div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="comment">// Explains the state of the profile in the time interval [left, right). The</span></div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// reason is all the mandatory parts that overlap the interval. The current</span></div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="comment">// reason is not cleared when this method is called.</span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordtype">void</span> AddProfileReason(IntegerValue left, IntegerValue right);</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> IntegerValue CapacityMin()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordflow">return</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(capacity_);</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> }</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> IntegerValue CapacityMax()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">return</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(capacity_);</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> </div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> IntegerValue DemandMin(<span class="keywordtype">int</span> task_id)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordflow">return</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(demands_[task_id]);</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> IntegerValue DemandMax(<span class="keywordtype">int</span> task_id)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">return</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(demands_[task_id]);</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> }</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// Returns true if the tasks is present and has a mantatory part.</span></div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordtype">bool</span> IsInProfile(<span class="keywordtype">int</span> t)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">return</span> positions_in_profile_tasks_[t] < num_profile_tasks_;</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> }</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="comment">// Number of tasks.</span></div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_tasks_;</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> </div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// The demand variables of the tasks.</span></div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> std::vector<AffineExpression> demands_;</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">// Capacity of the resource.</span></div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> capacity_;</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</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="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">SchedulingConstraintHelper</a>* helper_;</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="comment">// Optimistic profile of the resource consumption over time.</span></div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> std::vector<ProfileRectangle> profile_;</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> IntegerValue profile_max_height_;</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// Reversible starting height of the reduced profile. This corresponds to the</span></div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// height of the leftmost profile rectangle that can be used for propagation.</span></div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> IntegerValue starting_profile_height_;</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// Reversible sets of tasks to consider for the forward (resp. backward)</span></div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// propagation. A task with a fixed start do not need to be considered for the</span></div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// forward pass, same for task with fixed end for the backward pass. It is why</span></div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// we use two sets.</span></div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> std::vector<int> forward_tasks_to_sweep_;</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> std::vector<int> backward_tasks_to_sweep_;</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordtype">int</span> forward_num_tasks_to_sweep_;</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordtype">int</span> backward_num_tasks_to_sweep_;</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// Reversible set (with random access) of tasks to consider for building the</span></div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// profile. The set contains the tasks in the [0, num_profile_tasks_) prefix</span></div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// of profile_tasks_. The positions of a task in profile_tasks_ is contained</span></div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// in positions_in_profile_tasks_.</span></div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> std::vector<int> profile_tasks_;</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> std::vector<int> positions_in_profile_tasks_;</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordtype">int</span> num_profile_tasks_;</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> </div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html">TimeTablingPerTask</a>);</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span>};</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> </div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span>} <span class="comment">// namespace operations_research</span></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="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_TIMETABLE_H_</span></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_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_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01449">integer.h:1449</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01445">integer.h:1445</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_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_reservoir_time_tabling_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html">operations_research::sat::ReservoirTimeTabling</a></div><div class="ttdef"><b>Definition:</b> <a href="timetable_8h_source.html#l00049">timetable.h:49</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_reservoir_time_tabling_html_a354b002d12c90dab7cb40e1efef41e07"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html#a354b002d12c90dab7cb40e1efef41e07">operations_research::sat::ReservoirTimeTabling::ReservoirTimeTabling</a></div><div class="ttdeci">ReservoirTimeTabling(const std::vector< AffineExpression > &times, const std::vector< IntegerValue > &deltas, const std::vector< Literal > &presences, IntegerValue capacity, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="timetable_8cc_source.html#l00057">timetable.cc:57</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_reservoir_time_tabling_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_reservoir_time_tabling.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::ReservoirTimeTabling::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="timetable_8cc_source.html#l00083">timetable.cc:83</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scheduling_constraint_helper_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scheduling_constraint_helper.html">operations_research::sat::SchedulingConstraintHelper</a></div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00176">intervals.h:177</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_time_tabling_per_task_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html">operations_research::sat::TimeTablingPerTask</a></div><div class="ttdef"><b>Definition:</b> <a href="timetable_8h_source.html#l00107">timetable.h:107</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_time_tabling_per_task_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::TimeTablingPerTask::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="timetable_8cc_source.html#l00318">timetable.cc:318</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_time_tabling_per_task_html_aaa4ecf5818fadc0edcf62443f5d7664f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html#aaa4ecf5818fadc0edcf62443f5d7664f">operations_research::sat::TimeTablingPerTask::TimeTablingPerTask</a></div><div class="ttdeci">TimeTablingPerTask(const std::vector< AffineExpression > &demands, AffineExpression capacity, IntegerTrail *integer_trail, SchedulingConstraintHelper *helper)</div><div class="ttdef"><b>Definition:</b> <a href="timetable_8cc_source.html#l00284">timetable.cc:284</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_time_tabling_per_task_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_time_tabling_per_task.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::TimeTablingPerTask::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="timetable_8cc_source.html#l00335">timetable.cc:335</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_variables_assignment_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html">operations_research::sat::VariablesAssignment</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00125">sat_base.h:125</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="aintervals_8h_html"><div class="ttname"><a href="intervals_8h.html">intervals.h</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="anamespaceoperations__research_1_1sat_html_a0291403b5e2a3a0e097e22cf962299ae"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0291403b5e2a3a0e097e22cf962299ae">operations_research::sat::AddReservoirConstraint</a></div><div class="ttdeci">void AddReservoirConstraint(std::vector< AffineExpression > times, std::vector< IntegerValue > deltas, std::vector< Literal > presences, int64_t min_level, int64_t max_level, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="timetable_8cc_source.html#l00032">timetable.cc:32</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="aresource_8cc_html_aee52de7b225665566aa47246b9d6b8fa"><div class="ttname"><a href="resource_8cc.html#aee52de7b225665566aa47246b9d6b8fa">time</a></div><div class="ttdeci">int64_t time</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l01693">resource.cc:1693</a></div></div>
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<div class="ttc" id="arev_8h_html"><div class="ttname"><a href="rev_8h.html">rev.h</a></div></div>
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<div class="ttc" id="arouting__flow_8cc_html_a2acb49f4df5288066c43610bede123ec"><div class="ttname"><a href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a></div><div class="ttdeci">int64_t capacity</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00151">routing_flow.cc:151</a></div></div>
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<div class="ttc" id="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
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<div class="ttc" id="asat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
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<div class="ttc" id="asparse__submatrix_8cc_html_a9b7656b922ea4ec96097d7380c0e61fe"><div class="ttname"><a href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a></div><div class="ttdeci">int64_t start</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00035">sparse_submatrix.cc:35</a></div></div>
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<div class="ttc" id="astrong__integers_8h_html"><div class="ttname"><a href="strong__integers_8h.html">strong_integers.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html">operations_research::sat::AffineExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00233">integer.h:233</a></div></div>
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<li class="navelem"><a class="el" href="dir_a7cc1eeded8f693d0da6c729bc88c45a.html">ortools</a></li><li class="navelem"><a class="el" href="dir_dddac007a45022d9da6ea1dee012c3b9.html">sat</a></li><li class="navelem"><a class="el" href="timetable_8h.html">timetable.h</a></li>
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