389 lines
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389 lines
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<div class="headertitle"><div class="title">implied_bounds.h</div></div>
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<a href="implied__bounds_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_IMPLIED_BOUNDS_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_IMPLIED_BOUNDS_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 <algorithm></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <utility></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "absl/container/flat_hash_map.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="integral__types_8h.html">ortools/base/integral_types.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="base_2logging_8h.html">ortools/base/logging.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="strong__vector_8h.html">ortools/base/strong_vector.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="sat_2linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include "<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>"</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include "<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>"</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include "ortools/sat/sat_parameters.pb.h"</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include "<a class="code" href="sat__solver_8h.html">ortools/sat/sat_solver.h</a>"</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include "<a class="code" href="bitset_8h.html">ortools/util/bitset.h</a>"</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include "<a class="code" href="strong__integers_8h.html">ortools/util/strong_integers.h</a>"</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// For each IntegerVariable, the ImpliedBound class allows to list all such</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">// entries.</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">// This is meant to be used in the cut generation code when it make sense: if we</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// have BoolVar => X >= bound, we can always lower bound the variable X by</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">// (bound - X_lb) * BoolVar + X_lb, and that can lead to stronger cuts.</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html"> 44</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html">ImpliedBoundEntry</a> {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// An integer variable in [0, 1]. When at 1, then the IntegerVariable</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// corresponding to this entry must be greater or equal to the given lower</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// bound.</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#aeed2f5711a316d7b21a6d36629af958f"> 48</a></span> IntegerVariable <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#aeed2f5711a316d7b21a6d36629af958f">literal_view</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#ac6420aaa41bdee5430eb0bb90df18c9e"> 49</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#ac6420aaa41bdee5430eb0bb90df18c9e">lower_bound</a> = IntegerValue(0);</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// If false, it is when the literal_view is zero that the lower bound is</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// valid.</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a6d2822d5e07c3716efcdf73a4ae5eafc"> 53</a></span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a6d2822d5e07c3716efcdf73a4ae5eafc">is_positive</a> = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// These constructors are needed for OR-Tools.</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a9444514145a4699439477891643ac4e2"> 56</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a9444514145a4699439477891643ac4e2">ImpliedBoundEntry</a>(IntegerVariable lit, IntegerValue lb, <span class="keywordtype">bool</span> positive)</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> : <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#aeed2f5711a316d7b21a6d36629af958f">literal_view</a>(lit), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#ac6420aaa41bdee5430eb0bb90df18c9e">lower_bound</a>(lb), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a6d2822d5e07c3716efcdf73a4ae5eafc">is_positive</a>(positive) {}</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a61c116a72051cf8d1b798d7352f98dbc"> 59</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a61c116a72051cf8d1b798d7352f98dbc">ImpliedBoundEntry</a>()</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> : <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#aeed2f5711a316d7b21a6d36629af958f">literal_view</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#ac6420aaa41bdee5430eb0bb90df18c9e">lower_bound</a>(0), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a6d2822d5e07c3716efcdf73a4ae5eafc">is_positive</a>(true) {}</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span>};</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"> 63</span><span class="comment">// Maintains all the implications of the form Literal => IntegerLiteral. We</span></div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment">// collect these implication at model loading, during probing and during search.</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="comment">//</span></div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="comment">// TODO(user): This can quickly use up too much memory. Add some limit in place.</span></div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="comment">// In particular, each time we have literal => integer_literal we should avoid</span></div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">// storing the same integer_literal for all other_literal for which</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment">// other_literal => literal. For this we need to interact with the</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment">// BinaryImplicationGraph.</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment">//</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment">// TODO(user): This is a bit of a duplicate with the Literal <=> IntegerLiteral</span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="comment">// stored in the IntegerEncoder class. However we only need one side here.</span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="comment">//</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment">// TODO(user): Do like in the DomainDeductions class and allow to process</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment">// clauses (or store them) to perform more level zero deductions. Note that this</span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment">// is again a slight duplicate with what we do there (except that we work at the</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment">// Domain level in that presolve class).</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">// TODO(user): Add an implied bound cut generator to add these simple</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="comment">// constraints to the LP when needed.</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html"> 82</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_implied_bounds.html">ImpliedBounds</a> {</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0664b5f76135ba014b22d1be698cdb85"> 84</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0664b5f76135ba014b22d1be698cdb85">ImpliedBounds</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="l00085" name="l00085"></a><span class="lineno"> 85</span> : parameters_(*<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<SatParameters>()),</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> sat_solver_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>>()),</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> integer_trail_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>()),</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> integer_encoder_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>()) {}</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a524f691e9f750b9f09ae9393c7464dd1">~ImpliedBounds</a>();</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// Adds literal => integer_literal to the repository.</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// Not that it checks right aways if there is another bound on the same</span></div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// variable involving literal.Negated(), in which case we can improve the</span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// level zero lower bound of the variable.</span></div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6090e7a5aaf2ae687d3dab6e8ab31cab">Add</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> integer_literal);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// Adds literal => var == value.</span></div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a23dc89241d2cd6c2c02a54f2d25c8b95">AddLiteralImpliesVarEqValue</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</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="l00100" name="l00100"></a><span class="lineno"> 100</span> IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// This must be called after first_decision has been enqueued and propagated.</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// It will inspect the trail and add all new implied bounds.</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// Preconditions: The decision level must be one (CHECKed). And the decision</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// must be equal to first decision (we currently do not CHECK that).</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#af55df3ca81000daf46c6096a71778c40">ProcessIntegerTrail</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> first_decision);</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// Returns all the implied bounds stored for the given variable.</span></div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// Note that only literal with an IntegerView are considered here.</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> std::vector<ImpliedBoundEntry>& <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a1abcc20de9ebbf211ba0e97710b4be4d">GetImpliedBounds</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="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="comment">// Returns all the variables for which GetImpliedBounds(var) is not empty. Or</span></div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// at least that was not empty at some point, because we lazily remove bounds</span></div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// that become trivial as the search progress.</span></div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#ab0ad83ca54e924120d2fb6d2eb9c3033"> 116</a></span> <span class="keyword">const</span> std::vector<IntegerVariable>& <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#ab0ad83ca54e924120d2fb6d2eb9c3033">VariablesWithImpliedBounds</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> has_implied_bounds_.<a class="code hl_function" href="classoperations__research_1_1_sparse_bitset.html#a7187b794b93178bdf96f632d1f5d8c03">PositionsSetAtLeastOnce</a>();</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// Returns all the implied values stored for a given literal.</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a8c4d4ba1ccfd6cf414066b37e7a246c1"> 121</a></span> <span class="keyword">const</span> absl::flat_hash_map<IntegerVariable, IntegerValue>& <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a8c4d4ba1ccfd6cf414066b37e7a246c1">GetImpliedValues</a>(</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">const</span> <span class="keyword">auto</span> it = literal_to_var_to_value_.find(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index());</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">return</span> it != literal_to_var_to_value_.end() ? it->second</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> : empty_var_to_value_;</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</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="comment">// Register the fact that var = sum literal * value with sum literal == 1.</span></div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// Note that we call this an "element" encoding because a value can appear</span></div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// more than once.</span></div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6f803d37ccb81865b3dfe666cf3f2c3e">AddElementEncoding</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="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">const</span> std::vector<ValueLiteralPair>& encoding,</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordtype">int</span> exactly_one_index);</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="comment">// Returns an empty map if there is no such encoding.</span></div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">const</span> absl::flat_hash_map<int, std::vector<ValueLiteralPair>>&</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a5fa6e048979b81356f58a0ce364b0f28">GetElementEncodings</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="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> <span class="comment">// Get an unsorted set of variables appearing in element encodings.</span></div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">const</span> std::vector<IntegerVariable>& <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#ab8e39f1475297ca71eba5563bce4726c">GetElementEncodedVariables</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// Adds to the integer trail all the new level-zero deduction made here.</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// This can only be called at decision level zero. Returns false iff the model</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="comment">// is infeasible.</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0e2d0bf17ef8f8ea329a2faec4583377">EnqueueNewDeductions</a>();</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> </div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// When a literal does not have an integer view, we do not add any</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// ImpliedBoundEntry. This allows to create missing entries for a literal for</span></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// which a view was just created.</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="comment">// TODO(user): Implement and call when we create new views in the linear</span></div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="comment">// relaxation.</span></div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a2ae6fb4551f6640de5e5dcabf8930253"> 153</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a2ae6fb4551f6640de5e5dcabf8930253">NotifyNewIntegerView</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>) {}</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> </div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">const</span> SatParameters& parameters_;</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>* sat_solver_;</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</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="l00159" name="l00159"></a><span class="lineno"> 159</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* integer_encoder_;</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">// TODO(user): Remove the need for this.</span></div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> std::vector<IntegerLiteral> tmp_integer_literals_;</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// For each (Literal, IntegerVariable) the best lower bound implied by this</span></div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">// literal. Note that there is no need to store any entries that do not</span></div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="comment">// improve on the level zero lower bound.</span></div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// TODO(user): we could lazily remove old entries to save a bit of space if</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// many deduction where made at level zero.</span></div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> absl::flat_hash_map<std::pair<LiteralIndex, IntegerVariable>, IntegerValue></div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> bounds_;</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> <span class="comment">// Note(user): The plan is to use these during cut generation, so only the</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// Literal with an IntegerView that can be used in the LP relaxation need to</span></div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// be kept here.</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">// TODO(user): Use inlined vectors.</span></div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> std::vector<ImpliedBoundEntry> empty_implied_bounds_;</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, std::vector<ImpliedBoundEntry></a>></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> var_to_bounds_;</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> <span class="comment">// Track the list of variables with some implied bounds.</span></div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset<IntegerVariable></a> has_implied_bounds_;</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// Stores implied values per variable.</span></div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> absl::flat_hash_map<LiteralIndex,</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> absl::flat_hash_map<IntegerVariable, IntegerValue>></div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> literal_to_var_to_value_;</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keyword">const</span> absl::flat_hash_map<IntegerVariable, IntegerValue> empty_var_to_value_;</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> </div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> absl::flat_hash_map<IntegerVariable,</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> absl::flat_hash_map<int, std::vector<ValueLiteralPair>>></div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> var_to_index_to_element_encodings_;</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keyword">const</span> absl::flat_hash_map<int, std::vector<ValueLiteralPair>></div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> empty_element_encoding_;</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> std::vector<IntegerVariable> element_encoded_variables_;</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// TODO(user): Ideally, this should go away if we manage to push level-zero</span></div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// fact at a positive level directly.</span></div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, IntegerValue></a> level_zero_lower_bounds_;</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset<IntegerVariable></a> new_level_zero_bounds_;</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">// Stats.</span></div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> int64_t num_deductions_ = 0;</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> int64_t num_enqueued_in_var_to_bounds_ = 0;</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span>};</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span><span class="comment">// Looks at value encodings and detects if the product of two variables can be</span></div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span><span class="comment">// linearized.</span></div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span><span class="comment">//</span></div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span><span class="comment">// In the returned encoding, note that all the literals will be unique and in</span></div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span><span class="comment">// exactly one relation, and that the values can be duplicated. This is what we</span></div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span><span class="comment">// call an "element" encoding.</span></div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span><span class="comment">//</span></div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span><span class="comment">// The expressions will also be canonical.</span></div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8d19e8d5e074feb1e673e585b3a04266">DetectLinearEncodingOfProducts</a>(<span class="keyword">const</span> AffineExpression& left,</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keyword">const</span> AffineExpression& right, Model* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> LinearConstraintBuilder* builder);</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><span class="comment">// Try to linearize each term of the inner product of left and right.</span></div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span><span class="comment">// If the linearization not possible at position i, then</span></div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span><span class="comment">// ProductIsLinearized(energies[i]) will return false.</span></div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a47064139cec9b2ea520361ee30f0f243">LinearizeInnerProduct</a>(<span class="keyword">const</span> std::vector<AffineExpression>& left,</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keyword">const</span> std::vector<AffineExpression>& right,</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> Model* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> std::vector<LinearExpression>* energies);</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> </div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span><span class="comment">// Returns whether the corresponding expression is a valid linearization of</span></div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span><span class="comment">// the product of two affine expressions.</span></div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a88c8ab90d500702234707905c3b07ad2">ProductIsLinearized</a>(<span class="keyword">const</span> LinearExpression& expr);</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> </div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> </div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_IMPLIED_BOUNDS_H_</span></div>
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<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="abitset_8h_html"><div class="ttname"><a href="bitset_8h.html">bitset.h</a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector</a></div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00076">strong_vector.h:76</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_sparse_bitset_html"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html">operations_research::SparseBitset< IntegerVariable ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_sparse_bitset_html_a7187b794b93178bdf96f632d1f5d8c03"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html#a7187b794b93178bdf96f632d1f5d8c03">operations_research::SparseBitset::PositionsSetAtLeastOnce</a></div><div class="ttdeci">const std::vector< IntegerType > & PositionsSetAtLeastOnce() const</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00819">bitset.h:819</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html">operations_research::sat::ImpliedBounds</a></div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00082">implied_bounds.h:82</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a0664b5f76135ba014b22d1be698cdb85"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0664b5f76135ba014b22d1be698cdb85">operations_research::sat::ImpliedBounds::ImpliedBounds</a></div><div class="ttdeci">ImpliedBounds(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00084">implied_bounds.h:84</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a0e2d0bf17ef8f8ea329a2faec4583377"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0e2d0bf17ef8f8ea329a2faec4583377">operations_research::sat::ImpliedBounds::EnqueueNewDeductions</a></div><div class="ttdeci">bool EnqueueNewDeductions()</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00246">implied_bounds.cc:246</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a1abcc20de9ebbf211ba0e97710b4be4d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a1abcc20de9ebbf211ba0e97710b4be4d">operations_research::sat::ImpliedBounds::GetImpliedBounds</a></div><div class="ttdeci">const std::vector< ImpliedBoundEntry > & GetImpliedBounds(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00182">implied_bounds.cc:182</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a23dc89241d2cd6c2c02a54f2d25c8b95"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a23dc89241d2cd6c2c02a54f2d25c8b95">operations_research::sat::ImpliedBounds::AddLiteralImpliesVarEqValue</a></div><div class="ttdeci">void AddLiteralImpliesVarEqValue(Literal literal, IntegerVariable var, IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00204">implied_bounds.cc:204</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a2ae6fb4551f6640de5e5dcabf8930253"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a2ae6fb4551f6640de5e5dcabf8930253">operations_research::sat::ImpliedBounds::NotifyNewIntegerView</a></div><div class="ttdeci">void NotifyNewIntegerView(Literal literal)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00153">implied_bounds.h:153</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a524f691e9f750b9f09ae9393c7464dd1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a524f691e9f750b9f09ae9393c7464dd1">operations_research::sat::ImpliedBounds::~ImpliedBounds</a></div><div class="ttdeci">~ImpliedBounds()</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00043">implied_bounds.cc:43</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a5fa6e048979b81356f58a0ce364b0f28"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a5fa6e048979b81356f58a0ce364b0f28">operations_research::sat::ImpliedBounds::GetElementEncodings</a></div><div class="ttdeci">const absl::flat_hash_map< int, std::vector< ValueLiteralPair > > & GetElementEncodings(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00232">implied_bounds.cc:232</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a6090e7a5aaf2ae687d3dab6e8ab31cab"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6090e7a5aaf2ae687d3dab6e8ab31cab">operations_research::sat::ImpliedBounds::Add</a></div><div class="ttdeci">void Add(Literal literal, IntegerLiteral integer_literal)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00050">implied_bounds.cc:50</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a6f803d37ccb81865b3dfe666cf3f2c3e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6f803d37ccb81865b3dfe666cf3f2c3e">operations_research::sat::ImpliedBounds::AddElementEncoding</a></div><div class="ttdeci">void AddElementEncoding(IntegerVariable var, const std::vector< ValueLiteralPair > &encoding, int exactly_one_index)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00225">implied_bounds.cc:225</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_a8c4d4ba1ccfd6cf414066b37e7a246c1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#a8c4d4ba1ccfd6cf414066b37e7a246c1">operations_research::sat::ImpliedBounds::GetImpliedValues</a></div><div class="ttdeci">const absl::flat_hash_map< IntegerVariable, IntegerValue > & GetImpliedValues(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00121">implied_bounds.h:121</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_ab0ad83ca54e924120d2fb6d2eb9c3033"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#ab0ad83ca54e924120d2fb6d2eb9c3033">operations_research::sat::ImpliedBounds::VariablesWithImpliedBounds</a></div><div class="ttdeci">const std::vector< IntegerVariable > & VariablesWithImpliedBounds() const</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00116">implied_bounds.h:116</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_ab8e39f1475297ca71eba5563bce4726c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#ab8e39f1475297ca71eba5563bce4726c">operations_research::sat::ImpliedBounds::GetElementEncodedVariables</a></div><div class="ttdeci">const std::vector< IntegerVariable > & GetElementEncodedVariables() const</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00241">implied_bounds.cc:241</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html_af55df3ca81000daf46c6096a71778c40"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html#af55df3ca81000daf46c6096a71778c40">operations_research::sat::ImpliedBounds::ProcessIntegerTrail</a></div><div class="ttdeci">void ProcessIntegerTrail(Literal first_decision)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00214">implied_bounds.cc:214</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html">operations_research::sat::IntegerEncoder</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00362">integer.h:362</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_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00067">sat_base.h:67</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_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_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00061">sat_solver.h:61</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</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_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a47064139cec9b2ea520361ee30f0f243"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a47064139cec9b2ea520361ee30f0f243">operations_research::sat::LinearizeInnerProduct</a></div><div class="ttdeci">void LinearizeInnerProduct(const std::vector< AffineExpression > &left, const std::vector< AffineExpression > &right, Model *model, std::vector< LinearExpression > *energies)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00461">implied_bounds.cc:461</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a88c8ab90d500702234707905c3b07ad2"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a88c8ab90d500702234707905c3b07ad2">operations_research::sat::ProductIsLinearized</a></div><div class="ttdeci">bool ProductIsLinearized(const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00456">implied_bounds.cc:456</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8d19e8d5e074feb1e673e585b3a04266"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8d19e8d5e074feb1e673e585b3a04266">operations_research::sat::DetectLinearEncodingOfProducts</a></div><div class="ttdeci">bool DetectLinearEncodingOfProducts(const AffineExpression &left, const AffineExpression &right, Model *model, LinearConstraintBuilder *builder)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00337">implied_bounds.cc:337</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="aoptimization_8cc_html_af63dcc00f2023fdf498e0829e6fb8a6b"><div class="ttname"><a href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a></div><div class="ttdeci">Literal literal</div><div class="ttdef"><b>Definition:</b> <a href="optimization_8cc_source.html#l00089">optimization.cc:89</a></div></div>
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<div class="ttc" id="asat_2linear__constraint_8h_html"><div class="ttname"><a href="sat_2linear__constraint_8h.html">linear_constraint.h</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="astructoperations__research_1_1sat_1_1_implied_bound_entry_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_implied_bound_entry.html">operations_research::sat::ImpliedBoundEntry</a></div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00044">implied_bounds.h:44</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_implied_bound_entry_html_a61c116a72051cf8d1b798d7352f98dbc"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a61c116a72051cf8d1b798d7352f98dbc">operations_research::sat::ImpliedBoundEntry::ImpliedBoundEntry</a></div><div class="ttdeci">ImpliedBoundEntry()</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00059">implied_bounds.h:59</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_implied_bound_entry_html_a6d2822d5e07c3716efcdf73a4ae5eafc"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a6d2822d5e07c3716efcdf73a4ae5eafc">operations_research::sat::ImpliedBoundEntry::is_positive</a></div><div class="ttdeci">bool is_positive</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00053">implied_bounds.h:53</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_implied_bound_entry_html_a9444514145a4699439477891643ac4e2"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#a9444514145a4699439477891643ac4e2">operations_research::sat::ImpliedBoundEntry::ImpliedBoundEntry</a></div><div class="ttdeci">ImpliedBoundEntry(IntegerVariable lit, IntegerValue lb, bool positive)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00056">implied_bounds.h:56</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_implied_bound_entry_html_ac6420aaa41bdee5430eb0bb90df18c9e"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#ac6420aaa41bdee5430eb0bb90df18c9e">operations_research::sat::ImpliedBoundEntry::lower_bound</a></div><div class="ttdeci">IntegerValue lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00049">implied_bounds.h:49</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_implied_bound_entry_html_aeed2f5711a316d7b21a6d36629af958f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_implied_bound_entry.html#aeed2f5711a316d7b21a6d36629af958f">operations_research::sat::ImpliedBoundEntry::literal_view</a></div><div class="ttdeci">IntegerVariable literal_view</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00048">implied_bounds.h:48</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html">operations_research::sat::IntegerLiteral</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00174">integer.h:174</a></div></div>
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