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<div class="headertitle"><div class="title">var_domination.h</div></div>
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<a href="var__domination_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_VAR_DOMINATION_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_VAR_DOMINATION_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 <memory></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <string></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/types/span.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 "<a class="code" href="dynamic__partition_8h.html">ortools/algorithms/dynamic_partition.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="strong__vector_8h.html">ortools/base/strong_vector.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="cp__model__utils_8h.html">ortools/sat/cp_model_utils.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="integer_8h.html">ortools/sat/integer.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="presolve__context_8h.html">ortools/sat/presolve_context.h</a>"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</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="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// A variable X is say to dominate a variable Y if, from any feasible solution,</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// doing X++ and Y-- is also feasible (modulo the domain of X and Y) and has the</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">// same or a better objective value.</span></div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">//</span></div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment">// Note that we also look for dominance between the negation of the variables.</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">// So we detect all (X++, Y++), (X--, Y--), (X++, Y--) and (X--, Y++) cases.</span></div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// We reuse both ref / Negated(ref) and translate that to IntegerVariable for</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">// indexing vectors.</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">//</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">// Once detected, dominance relation can lead to more propagation. Note however,</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// that we will loose feasible solution that are dominated by better solutions.</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">// In particular, in a linear constraint sum coeff * Xi <= rhs with positive</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">// coeff, if an X is dominated by a set of other variable in the constraint,</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">// then its upper bound can be propagated assuming the dominating variables are</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">// at their upper bound. This can in many case result in X being fixed to its</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">// lower bound.</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">//</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">// TODO(user): We have a lot of benchmarks and tests that shows that we don't</span></div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// report wrong relations, but we lack unit test that make sure we don't miss</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">// any. Try to improve the situation.</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_var_domination.html"> 52</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_var_domination.html">VarDomination</a> {</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">public</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_var_domination.html#abd92844dd87c0248682d5840219d3a41"> 54</a></span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#abd92844dd87c0248682d5840219d3a41">VarDomination</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="comment">// This is the translation used from "ref" to IntegerVariable. The API</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// understand the cp_mode.proto ref, but internally we only store</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// IntegerVariable.</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_var_domination.html#afa29fae25851a59b7484122a8ecfbf8b"> 59</a></span> <span class="keyword">static</span> IntegerVariable <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#afa29fae25851a59b7484122a8ecfbf8b">RefToIntegerVariable</a>(<span class="keywordtype">int</span> ref) {</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref) ? IntegerVariable(2 * ref)</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> : IntegerVariable(2 * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(ref) + 1);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_var_domination.html#a4e3d2a5f5d96d1c22e6e0744a9b8db05"> 63</a></span> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a4e3d2a5f5d96d1c22e6e0744a9b8db05">IntegerVariableToRef</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="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) ? <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() / 2</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() / 2);</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> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// Reset the class to a clean state.</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// At the beginning, we assume that there is no constraint.</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a60fd6d5f0e8bba9b7a51b86edb7dcf79">Reset</a>(<span class="keywordtype">int</span> num_variables);</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// These functions are used to encode all of our constraints.</span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// The algorithm work in two passes, so one should do:</span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// - 1/ Convert all problem constraints to one or more calls</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// - 2/ Call EndFirstPhase()</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// - 3/ Redo 1. Only the one sided constraint need to be processed again. But</span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// calling the others will just do nothing, so it is fine too.</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// - 4/ Call EndSecondPhase()</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// The names are pretty self-explanatory. A few linear constraint ex:</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// - To encode terms = cte, one should call ActivityShouldNotChange()</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// - To encode terms >= cte, one should call ActivityShouldNotDecrease()</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// - To encode terms <= cte, one should call ActivityShouldNotIncrease()</span></div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// The coeffs vector can be left empty, in which case all variable are assumed</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// to have the same coefficients. CanOnlyDominateEachOther() is basically the</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 ActivityShouldNotChange() without any coefficients.</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Note(user): It is better complexity wise to first refine the underlying</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// partition as much as possible, and then process all</span></div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// ActivityShouldNotIncrease() and ActivityShouldNotDecrease() in two passes.</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Experiment with it, it might require changing the API slightly since the</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// increase / decrease functions also refine the partition.</span></div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#afe7098f5dfd54c7383692e28fad65dc3">CanOnlyDominateEachOther</a>(absl::Span<const int> refs);</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_var_domination.html#a262642c2245a54b7c5735b380b34b603">ActivityShouldNotChange</a>(absl::Span<const int> refs,</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> absl::Span<const int64_t> coeffs);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a935b4b8f506279a6f5442af0f36498f7">ActivityShouldNotDecrease</a>(absl::Span<const int> enforcements,</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> absl::Span<const int> refs,</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> absl::Span<const int64_t> coeffs);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a05d64b4f946bd02789aecd5f9b3a4c05">ActivityShouldNotIncrease</a>(absl::Span<const int> enforcements,</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> absl::Span<const int> refs,</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> absl::Span<const int64_t> coeffs);</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> <span class="comment">// EndFirstPhase() must be called once all constraints have been processed</span></div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// once. One then needs to redo the calls to ActivityShouldNotIncrease() and</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// ActivityShouldNotDecrease(). And finally call EndSecondPhase() before</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// querying the domination information.</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a32332368969953470357bea5af9d60db">EndFirstPhase</a>();</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a3bfa5866e3b1d860a23ca23c8c29fcdc">EndSecondPhase</a>();</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// This is true if this variable was never restricted by any call. We can thus</span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// fix it to its lower bound.</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_var_domination.html#a389ac04ee9f0eddeadb87a8ef5af6dad">CanFreelyDecrease</a>(<span class="keywordtype">int</span> ref) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a389ac04ee9f0eddeadb87a8ef5af6dad">CanFreelyDecrease</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// Returns a set of variable dominating the given ones. Note that to keep the</span></div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// algo efficient, this might not include all the possible dominations.</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// Note: we never include as part of the dominating candidate variables that</span></div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// can freely increase.</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> absl::Span<const IntegerVariable> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a98dafbf843b453fb9f3f822cd948a77b">DominatingVariables</a>(<span class="keywordtype">int</span> ref) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> absl::Span<const IntegerVariable> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#a98dafbf843b453fb9f3f822cd948a77b">DominatingVariables</a>(</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</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> <span class="comment">// Returns readable string with the possible valid combinations of the form</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// (var++/--, dom++/--) to facilitate debugging.</span></div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> std::string <a class="code hl_function" href="classoperations__research_1_1sat_1_1_var_domination.html#abac7359a6d4028ceb620882c963abbd5">DominationDebugString</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">struct </span>IntegerVariableWithRank {</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</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="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordtype">int</span> part;</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> int64_t rank;</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</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> operator<(<span class="keyword">const</span> IntegerVariableWithRank& o)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">return</span> rank < o.rank;</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> }</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> };</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">// This refine the partition can_dominate_partition_ with the given set.</span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordtype">void</span> RefinePartition(std::vector<int>* vars);</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// Convert the input from the public API into tmp_ranks_.</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordtype">void</span> MakeRankEqualToStartOfPart(absl::Span<IntegerVariableWithRank> span);</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keywordtype">void</span> FillTempRanks(<span class="keywordtype">bool</span> reverse_references,</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> absl::Span<const int> enforcements,</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> absl::Span<const int> refs,</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> absl::Span<const int64_t> coeffs);</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// First phase functions. We will keep for each variable a list of possible</span></div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="comment">// candidates which is as short as possible.</span></div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> absl::Span<const IntegerVariable> InitialDominatingCandidates(</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keywordtype">void</span> ProcessTempRanks();</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordtype">void</span> Initialize(absl::Span<IntegerVariableWithRank> span);</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">// Second phase function to filter the current candidate lists.</span></div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordtype">void</span> FilterUsingTempRanks();</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="comment">// Debug function.</span></div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordtype">void</span> CheckUsingTempRanks();</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// Starts at zero on Reset(), move to one on EndFirstPhase() and to 2 on</span></div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// EndSecondPhase(). This is used for debug checks and to control what happen</span></div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">// on the constraint processing functions.</span></div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordtype">int</span> phase_ = 0;</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> <span class="comment">// The variables will be sorted by non-decreasking rank. The rank is also the</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// start of the first variable in tmp_ranks_ with this rank.</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 the rank should be int, but to reuse the same vector when we</span></div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// construct it, we need int64_t. See FillTempRanks().</span></div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> std::vector<IntegerVariableWithRank> tmp_ranks_;</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// This do not change after EndFirstPhase().</span></div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// We will add to the Dynamic partion, a set of subset S, each meaning that</span></div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// any variable in S can only dominate or be dominated by another variable in</span></div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// S.</span></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> std::vector<int> tmp_vars_;</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> std::unique_ptr<DynamicPartition> partition_;</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="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, bool></a> can_freely_decrease_;</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// For all one sided constraints, we keep the bitmap of constraint indices</span></div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// modulo 64 that block on the lower side each variable.</span></div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> int64_t ct_index_for_signature_ = 0;</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, uint64_t></a> block_down_signatures_;</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">// Used by FilterUsingTempRanks().</span></div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordtype">int</span> num_vars_with_negation_;</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, int></a> tmp_var_to_rank_;</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// We don't use absl::Span() because the underlying buffer can be resized.</span></div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// This however serve the same purpose.</span></div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">struct </span>IntegerVariableSpan {</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> = 0;</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordtype">int</span> size = 0;</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> </div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// This hold the first phase best candidate.</span></div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// Warning, the initial candidates span can overlap in the shared_buffer_.</span></div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> std::vector<IntegerVariable> shared_buffer_;</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, IntegerVariableSpan></a> initial_candidates_;</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> </div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// This will hold the final result.</span></div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// Buffer with independent content for each vars.</span></div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> std::vector<IntegerVariable> buffer_;</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, IntegerVariableSpan></a> dominating_vars_;</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span>};</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span><span class="comment">// This detects variables that can move freely in one direction, or that can</span></div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span><span class="comment">// move freely as long as their value do not cross a bound.</span></div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span><span class="comment">//</span></div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span><span class="comment">// TODO(user): This is actually an important step to do before scaling as it can</span></div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span><span class="comment">// usually reduce really large bounds!</span></div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html"> 216</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html">DualBoundStrengthening</a> {</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// Reset the class to a clean state.</span></div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// This must be called before processing the constraints.</span></div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a60fd6d5f0e8bba9b7a51b86edb7dcf79"> 220</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a60fd6d5f0e8bba9b7a51b86edb7dcf79">Reset</a>(<span class="keywordtype">int</span> num_variables) {</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> can_freely_decrease_until_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">assign</a>(2 * num_variables, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>);</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> num_locks_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">assign</a>(2 * num_variables, 0);</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> locking_ct_index_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">assign</a>(2 * num_variables, -1);</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</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="comment">// All constraints should be mapped to one of more call to these functions.</span></div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#adbbaa71d83a6aabd04fd33913211556e">CannotDecrease</a>(absl::Span<const int> refs, <span class="keywordtype">int</span> ct_index = -1);</div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#ad16c26465ee937d28e44dbdafb640aee">CannotIncrease</a>(absl::Span<const int> refs, <span class="keywordtype">int</span> ct_index = -1);</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a9ecedf5a2848b791246943eac3c970bd">CannotMove</a>(absl::Span<const int> refs);</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">// Most of the logic here deals with linear constraints.</span></div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keyword">template</span> <<span class="keyword">typename</span> LinearProto></div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a5d30c7cdb06598c5cad5ccd83d7472a8">ProcessLinearConstraint</a>(<span class="keywordtype">bool</span> is_objective,</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_presolve_context.html">PresolveContext</a>& <a class="code hl_variable" href="gurobi__interface_8cc.html#a5f287b83a753915ae862fed64f8640a6">context</a>,</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="keyword">const</span> LinearProto& linear, int64_t min_activity,</div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> int64_t max_activity);</div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="comment">// Once ALL constraints have been processed, call this to fix variables or</span></div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="comment">// reduce their domain if possible.</span></div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// Note that this also tighten some constraint that are the only one blocking</span></div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// in one direction. Currently we only do that for implication, so that if we</span></div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="comment">// have two Booleans such that a + b <= 1 we transform that to = 1 and we</span></div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// remove one variable since we have now an equivalence relation.</span></div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a48e1c2fbd4e1fe926ce841260ac8ba43">Strengthen</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_presolve_context.html">PresolveContext</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a5f287b83a753915ae862fed64f8640a6">context</a>);</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> </div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// The given ref can always freely decrease until the returned value.</span></div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// Note that this does not take into account the domain of the variable.</span></div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a846141ac1da2994302ec0cf3551976ec"> 249</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a846141ac1da2994302ec0cf3551976ec">CanFreelyDecreaseUntil</a>(<span class="keywordtype">int</span> ref)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keywordflow">return</span> can_freely_decrease_until_[RefToIntegerVariable(ref)].value();</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> </div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="comment">// We encode proto ref as IntegerVariable for indexing vectors.</span></div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keyword">static</span> IntegerVariable RefToIntegerVariable(<span class="keywordtype">int</span> ref) {</div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">RefIsPositive</a>(ref) ? IntegerVariable(2 * ref)</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> : IntegerVariable(2 * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">NegatedRef</a>(ref) + 1);</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> }</div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// Starts with kMaxIntegerValue, and decrease as constraints are processed.</span></div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, IntegerValue></a> can_freely_decrease_until_;</div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="comment">// How many times can_freely_decrease_until_[var] was set by a constraints.</span></div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="comment">// If only one constraint is blocking, we can do more presolve.</span></div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, int64_t></a> num_locks_;</div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// If num_locks_[var] == 1, this will be the unique constraint that block var</span></div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="comment">// in this direction. Note that it can be set to -1 if this wasn't recorded.</span></div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, int64_t></a> locking_ct_index_;</div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span>};</div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> </div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span><span class="comment">// Detect the variable dominance relations within the given model. Note that</span></div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span><span class="comment">// to avoid doing too much work, we might miss some relations. This does two</span></div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span><span class="comment">// full scan of the model.</span></div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a747d1194d3ad5967b690d046ebb0c2eb">DetectDominanceRelations</a>(<span class="keyword">const</span> PresolveContext& <a class="code hl_variable" href="gurobi__interface_8cc.html#a5f287b83a753915ae862fed64f8640a6">context</a>,</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> VarDomination* var_domination,</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> DualBoundStrengthening* dual_bound_strengthening);</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> </div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span><span class="comment">// Once detected, exploit the dominance relations that appear in the same</span></div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span><span class="comment">// constraint. This does a full scan of the model.</span></div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span><span class="comment">//</span></div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span><span class="comment">// Return false if the problem is infeasible.</span></div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad9fac07c1db385b6e80e268c0a2109d3">ExploitDominanceRelations</a>(<span class="keyword">const</span> VarDomination& var_domination,</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> PresolveContext* <a class="code hl_variable" href="gurobi__interface_8cc.html#a5f287b83a753915ae862fed64f8640a6">context</a>);</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> </div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> </div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_VAR_DOMINATION_H_</span></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< IntegerVariable, bool ></a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a184fe69018ae421dcf31c964bfe40576"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">absl::StrongVector::assign</a></div><div class="ttdeci">void assign(size_type n, const value_type &val)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00131">strong_vector.h:131</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html">operations_research::sat::DualBoundStrengthening</a></div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00216">var_domination.h:216</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_a48e1c2fbd4e1fe926ce841260ac8ba43"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a48e1c2fbd4e1fe926ce841260ac8ba43">operations_research::sat::DualBoundStrengthening::Strengthen</a></div><div class="ttdeci">bool Strengthen(PresolveContext *context)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00630">var_domination.cc:630</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_a5d30c7cdb06598c5cad5ccd83d7472a8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a5d30c7cdb06598c5cad5ccd83d7472a8">operations_research::sat::DualBoundStrengthening::ProcessLinearConstraint</a></div><div class="ttdeci">void ProcessLinearConstraint(bool is_objective, const PresolveContext &context, const LinearProto &linear, int64_t min_activity, int64_t max_activity)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00571">var_domination.cc:571</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_a60fd6d5f0e8bba9b7a51b86edb7dcf79"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a60fd6d5f0e8bba9b7a51b86edb7dcf79">operations_research::sat::DualBoundStrengthening::Reset</a></div><div class="ttdeci">void Reset(int num_variables)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00220">var_domination.h:220</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_a846141ac1da2994302ec0cf3551976ec"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a846141ac1da2994302ec0cf3551976ec">operations_research::sat::DualBoundStrengthening::CanFreelyDecreaseUntil</a></div><div class="ttdeci">int64_t CanFreelyDecreaseUntil(int ref) const</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00249">var_domination.h:249</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_a9ecedf5a2848b791246943eac3c970bd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#a9ecedf5a2848b791246943eac3c970bd">operations_research::sat::DualBoundStrengthening::CannotMove</a></div><div class="ttdeci">void CannotMove(absl::Span< const int > refs)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00560">var_domination.cc:560</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_ad16c26465ee937d28e44dbdafb640aee"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#ad16c26465ee937d28e44dbdafb640aee">operations_research::sat::DualBoundStrengthening::CannotIncrease</a></div><div class="ttdeci">void CannotIncrease(absl::Span< const int > refs, int ct_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00550">var_domination.cc:550</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_dual_bound_strengthening_html_adbbaa71d83a6aabd04fd33913211556e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_dual_bound_strengthening.html#adbbaa71d83a6aabd04fd33913211556e">operations_research::sat::DualBoundStrengthening::CannotDecrease</a></div><div class="ttdeci">void CannotDecrease(absl::Span< const int > refs, int ct_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00540">var_domination.cc:540</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_presolve_context_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_presolve_context.html">operations_research::sat::PresolveContext</a></div><div class="ttdef"><b>Definition:</b> <a href="presolve__context_8h_source.html#l00079">presolve_context.h:79</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html">operations_research::sat::VarDomination</a></div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00052">var_domination.h:52</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a05d64b4f946bd02789aecd5f9b3a4c05"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a05d64b4f946bd02789aecd5f9b3a4c05">operations_research::sat::VarDomination::ActivityShouldNotIncrease</a></div><div class="ttdeci">void ActivityShouldNotIncrease(absl::Span< const int > enforcements, absl::Span< const int > refs, absl::Span< const int64_t > coeffs)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00142">var_domination.cc:142</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a262642c2245a54b7c5735b380b34b603"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a262642c2245a54b7c5735b380b34b603">operations_research::sat::VarDomination::ActivityShouldNotChange</a></div><div class="ttdeci">void ActivityShouldNotChange(absl::Span< const int > refs, absl::Span< const int64_t > coeffs)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00083">var_domination.cc:83</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a32332368969953470357bea5af9d60db"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a32332368969953470357bea5af9d60db">operations_research::sat::VarDomination::EndFirstPhase</a></div><div class="ttdeci">void EndFirstPhase()</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00212">var_domination.cc:212</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a389ac04ee9f0eddeadb87a8ef5af6dad"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a389ac04ee9f0eddeadb87a8ef5af6dad">operations_research::sat::VarDomination::CanFreelyDecrease</a></div><div class="ttdeci">bool CanFreelyDecrease(int ref) const</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00499">var_domination.cc:499</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a3bfa5866e3b1d860a23ca23c8c29fcdc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a3bfa5866e3b1d860a23ca23c8c29fcdc">operations_research::sat::VarDomination::EndSecondPhase</a></div><div class="ttdeci">void EndSecondPhase()</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00339">var_domination.cc:339</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a4e3d2a5f5d96d1c22e6e0744a9b8db05"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a4e3d2a5f5d96d1c22e6e0744a9b8db05">operations_research::sat::VarDomination::IntegerVariableToRef</a></div><div class="ttdeci">static int IntegerVariableToRef(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00063">var_domination.h:63</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a60fd6d5f0e8bba9b7a51b86edb7dcf79"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a60fd6d5f0e8bba9b7a51b86edb7dcf79">operations_research::sat::VarDomination::Reset</a></div><div class="ttdeci">void Reset(int num_variables)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00044">var_domination.cc:44</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a935b4b8f506279a6f5442af0f36498f7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a935b4b8f506279a6f5442af0f36498f7">operations_research::sat::VarDomination::ActivityShouldNotDecrease</a></div><div class="ttdeci">void ActivityShouldNotDecrease(absl::Span< const int > enforcements, absl::Span< const int > refs, absl::Span< const int64_t > coeffs)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00135">var_domination.cc:135</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_a98dafbf843b453fb9f3f822cd948a77b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#a98dafbf843b453fb9f3f822cd948a77b">operations_research::sat::VarDomination::DominatingVariables</a></div><div class="ttdeci">absl::Span< const IntegerVariable > DominatingVariables(int ref) const</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00515">var_domination.cc:515</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_abac7359a6d4028ceb620882c963abbd5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#abac7359a6d4028ceb620882c963abbd5">operations_research::sat::VarDomination::DominationDebugString</a></div><div class="ttdeci">std::string DominationDebugString(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00527">var_domination.cc:527</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_abd92844dd87c0248682d5840219d3a41"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#abd92844dd87c0248682d5840219d3a41">operations_research::sat::VarDomination::VarDomination</a></div><div class="ttdeci">VarDomination()</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00054">var_domination.h:54</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_afa29fae25851a59b7484122a8ecfbf8b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#afa29fae25851a59b7484122a8ecfbf8b">operations_research::sat::VarDomination::RefToIntegerVariable</a></div><div class="ttdeci">static IntegerVariable RefToIntegerVariable(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8h_source.html#l00059">var_domination.h:59</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_var_domination_html_afe7098f5dfd54c7383692e28fad65dc3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_var_domination.html#afe7098f5dfd54c7383692e28fad65dc3">operations_research::sat::VarDomination::CanOnlyDominateEachOther</a></div><div class="ttdeci">void CanOnlyDominateEachOther(absl::Span< const int > refs)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00073">var_domination.cc:73</a></div></div>
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<div class="ttc" id="acp__model__utils_8h_html"><div class="ttname"><a href="cp__model__utils_8h.html">cp_model_utils.h</a></div></div>
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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="agurobi__interface_8cc_html_a5f287b83a753915ae862fed64f8640a6"><div class="ttname"><a href="gurobi__interface_8cc.html#a5f287b83a753915ae862fed64f8640a6">context</a></div><div class="ttdeci">GurobiMPCallbackContext * context</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00514">gurobi_interface.cc:514</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="anamespaceoperations__research_1_1sat_html_a217338425de4389014563f1f24331713"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a217338425de4389014563f1f24331713">operations_research::sat::RefIsPositive</a></div><div class="ttdeci">bool RefIsPositive(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00036">cp_model_utils.h:36</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5316808a2d5007c3b489e844801385e5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue.value())</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a747d1194d3ad5967b690d046ebb0c2eb"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a747d1194d3ad5967b690d046ebb0c2eb">operations_research::sat::DetectDominanceRelations</a></div><div class="ttdeci">void DetectDominanceRelations(const PresolveContext &context, VarDomination *var_domination, DualBoundStrengthening *dual_bound_strengthening)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00778">var_domination.cc:778</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad9fac07c1db385b6e80e268c0a2109d3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad9fac07c1db385b6e80e268c0a2109d3">operations_research::sat::ExploitDominanceRelations</a></div><div class="ttdeci">bool ExploitDominanceRelations(const VarDomination &var_domination, PresolveContext *context)</div><div class="ttdef"><b>Definition:</b> <a href="var__domination_8cc_source.html#l00977">var_domination.cc:977</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae0803b8198728cd4f6e58498d9c60091"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae0803b8198728cd4f6e58498d9c60091">operations_research::sat::NegatedRef</a></div><div class="ttdeci">int NegatedRef(int ref)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__utils_8h_source.html#l00034">cp_model_utils.h:34</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae2544d2a3a5ef4c78f8e5891f104ab41"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">operations_research::sat::VariableIsPositive</a></div><div class="ttdeci">bool VariableIsPositive(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00145">integer.h:145</a></div></div>
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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="apresolve__context_8h_html"><div class="ttname"><a href="presolve__context_8h.html">presolve_context.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__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
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