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<div class="headertitle"><div class="title">implied_bounds.cc</div></div>
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<a href="implied__bounds_8cc.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">#include "<a class="code" href="implied__bounds_8h.html">ortools/sat/implied_bounds.h</a>"</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</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="l00020" name="l00020"></a><span class="lineno"> 20</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="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="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="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment">// Just display some global statistics on destruction.</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a524f691e9f750b9f09ae9393c7464dd1"> 26</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a524f691e9f750b9f09ae9393c7464dd1">ImpliedBounds::~ImpliedBounds</a>() {</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) << num_deductions_ << <span class="stringliteral">" enqueued deductions."</span>;</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) << bounds_.size() << <span class="stringliteral">" implied bounds stored."</span>;</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) << num_enqueued_in_var_to_bounds_</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> << <span class="stringliteral">" implied bounds with view stored."</span>;</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> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6090e7a5aaf2ae687d3dab6e8ab31cab"> 33</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6090e7a5aaf2ae687d3dab6e8ab31cab">ImpliedBounds::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="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">if</span> (!parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a399edcf17da8facedc2891024e16e356">use_implied_bounds</a>()) <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>;</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// Update our local level-zero bound.</span></div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> >= level_zero_lower_bounds_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) {</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> level_zero_lower_bounds_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() + 1, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>);</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> new_level_zero_bounds_.Resize(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> + 1);</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> }</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>], integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// Ignore any Add() with a bound worse than the level zero one.</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// TODO(user): Check that this never happen? it shouldn't.</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">if</span> (integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> <= level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]) {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> }</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">// We skip any IntegerLiteral referring to a variable with only two</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// consecutive possible values. This is because, once shifted this will</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// already be a variable in [0, 1] so we shouldn't gain much by substituing</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// it.</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">if</span> (integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) + 1 >=</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span>;</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"> 59</span> </div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// Add or update the current bound.</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">const</span> <span class="keyword">auto</span> key = std::make_pair(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index(), <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">auto</span> insert_result = bounds_.insert({key, integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>});</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">if</span> (!insert_result.second) {</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">if</span> (insert_result.first->second < integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>) {</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> insert_result.first->second = integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// No new info.</span></div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> }</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// Checks if the variable is now fixed.</span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">if</span> (integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) == integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>) {</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a23dc89241d2cd6c2c02a54f2d25c8b95">AddLiteralImpliesVarEqValue</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>);</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> <span class="keyword">auto</span> it =</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> bounds_.find(std::make_pair(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index(), <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)));</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">if</span> (it != bounds_.end() && it->second == -integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>) {</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a23dc89241d2cd6c2c02a54f2d25c8b95">AddLiteralImpliesVarEqValue</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>);</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> }</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// Check if we have any deduction. Since at least one of (literal,</span></div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// literal.Negated()) must be true, we can take the min bound as valid at</span></div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// level zero.</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// TODO(user): Like in probing, we can also create hole in the domain if there</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// is some implied bounds for (literal.NegatedIndex, NegagtionOf(var)) that</span></div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// crosses integer_literal.bound.</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">const</span> <span class="keyword">auto</span> it = bounds_.find(std::make_pair(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.NegatedIndex(), <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">if</span> (it != bounds_.end()) {</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">if</span> (it->second <= level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]) {</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// The other bounds is worse than the new level-zero bound which can</span></div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// happen because of lazy update, so here we just remove it.</span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> bounds_.erase(it);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">const</span> IntegerValue deduction =</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>, it->second);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <a class="code hl_define" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(deduction, level_zero_lower_bounds_[<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> <a class="code hl_define" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(deduction, integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</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">// TODO(user): support Enqueueing level zero fact at a positive level.</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// That is, do not loose the info on backtrack. This should be doable. It</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// is also why we return a bool in case of conflict when pushing</span></div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// deduction.</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> ++num_deductions_;</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = deduction;</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> new_level_zero_bounds_.Set(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) << <span class="stringliteral">"Deduction old: "</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> << <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>))</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> << <span class="stringliteral">" new: "</span> << <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, deduction);</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// The entries that are equal to the min no longer need to be stored once</span></div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// the level zero bound is enqueued.</span></div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">if</span> (it->second == deduction) {</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> bounds_.erase(it);</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="keywordflow">if</span> (integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> == deduction) {</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> bounds_.erase(std::make_pair(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index(), <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// No need to update var_to_bounds_ in this case.</span></div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> }</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</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> </div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// While the code above deal correctly with optionality, we cannot just</span></div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// register a literal => bound for an optional variable, because the equation</span></div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// might end up in the LP which do not handle them correctly.</span></div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// TODO(user): Maybe we can handle this case somehow, as long as every</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="comment">// constraint using this bound is protected by the variable optional literal.</span></div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">// Alternativelly we could disable optional variable when we are at</span></div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// linearization level 2.</span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">if</span> (integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#acc1aaae243ed4381e84f8309aacb3bbc">IsOptional</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">return</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> <span class="comment">// If we have a new implied bound and the literal has a view, add it to</span></div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// var_to_bounds_. Note that we might add more than one entry with the same</span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// literal_view, and we will later need to lazily clean the vector up.</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">if</span> (integer_encoder_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</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="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">if</span> (var_to_bounds_.size() <= <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> var_to_bounds_.resize(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() + 1);</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> has_implied_bounds_.Resize(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> + 1);</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> ++num_enqueued_in_var_to_bounds_;</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> has_implied_bounds_.Set(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> var_to_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].push_back({integer_encoder_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>),</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>, <span class="keyword">true</span>});</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (integer_encoder_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Negated()) !=</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">if</span> (var_to_bounds_.size() <= <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> var_to_bounds_.resize(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() + 1);</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> has_implied_bounds_.Resize(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> + 1);</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> ++num_enqueued_in_var_to_bounds_;</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> has_implied_bounds_.Set(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> var_to_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].push_back(</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> {integer_encoder_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Negated()),</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> integer_literal.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>, <span class="keyword">false</span>});</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>}</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> </div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a1abcc20de9ebbf211ba0e97710b4be4d"> 165</a></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">ImpliedBounds::GetImpliedBounds</a>(</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</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="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> >= var_to_bounds_.size()) <span class="keywordflow">return</span> empty_implied_bounds_;</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// Lazily remove obsolete entries from the vector.</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">// TODO(user): Check no duplicate and remove old entry if the enforcement</span></div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// is tighter.</span></div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> std::vector<ImpliedBoundEntry>& ref = var_to_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">const</span> IntegerValue level_zero_lb = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>], integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = level_zero_lb;</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_implied_bound_entry.html">ImpliedBoundEntry</a>& entry : ref) {</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordflow">if</span> (entry.lower_bound <= level_zero_lb) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> ref[new_size++] = entry;</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> ref.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(new_size);</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="keywordflow">return</span> ref;</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span>}</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a23dc89241d2cd6c2c02a54f2d25c8b95"> 187</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a23dc89241d2cd6c2c02a54f2d25c8b95">ImpliedBounds::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>,</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</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="l00189" name="l00189"></a><span class="lineno"> 189</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="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordflow">if</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>)) {</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = -<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> }</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> literal_to_var_to_value_[<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index()][<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span>}</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> </div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#af55df3ca81000daf46c6096a71778c40"> 197</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#af55df3ca81000daf46c6096a71778c40">ImpliedBounds::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="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">if</span> (!parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a399edcf17da8facedc2891024e16e356">use_implied_bounds</a>()) <span class="keywordflow">return</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> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(sat_solver_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>(), 1);</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> tmp_integer_literals_.clear();</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aab182be7f1a6eccbc2b14c21fce5e9dd">AppendNewBounds</a>(&tmp_integer_literals_);</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> lit : tmp_integer_literals_) {</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6090e7a5aaf2ae687d3dab6e8ab31cab">Add</a>(first_decision, lit);</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> }</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"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6f803d37ccb81865b3dfe666cf3f2c3e"> 208</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a6f803d37ccb81865b3dfe666cf3f2c3e">ImpliedBounds::AddElementEncoding</a>(</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">const</span> std::vector<ValueLiteralPair>& encoding,</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordtype">int</span> exactly_one_index) {</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> var_to_index_to_element_encodings_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>][exactly_one_index] = encoding;</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span>}</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span><span class="keyword">const</span> absl::flat_hash_map<int, std::vector<ValueLiteralPair>>&</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a5fa6e048979b81356f58a0ce364b0f28"> 215</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a5fa6e048979b81356f58a0ce364b0f28">ImpliedBounds::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="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keyword">const</span> <span class="keyword">auto</span>& it = var_to_index_to_element_encodings_.find(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordflow">if</span> (it == var_to_index_to_element_encodings_.end()) {</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">return</span> empty_element_encoding_;</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keywordflow">return</span> it->second;</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> }</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span>}</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#ab8e39f1475297ca71eba5563bce4726c"> 224</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#ab8e39f1475297ca71eba5563bce4726c">ImpliedBounds::GetElementEncodedVariables</a>()<span class="keyword"></span></div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span><span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">return</span> element_encoded_variables_;</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> </div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0e2d0bf17ef8f8ea329a2faec4583377"> 229</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds.html#a0e2d0bf17ef8f8ea329a2faec4583377">ImpliedBounds::EnqueueNewDeductions</a>() {</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(sat_solver_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>(), 0);</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">for</span> (<span class="keyword">const</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="l00232" name="l00232"></a><span class="lineno"> 232</span> new_level_zero_bounds_.PositionsSetAtLeastOnce()) {</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">if</span> (!integer_trail_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, level_zero_lower_bounds_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]),</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> {}, {})) {</div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</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> }</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> new_level_zero_bounds_.SparseClearAll();</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordflow">return</span> sat_solver_-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_solver.html#a607d97ccada862073f297bc2d495124d">FinishPropagation</a>();</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span>}</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> </div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4a3d2062220dd9481df0589b9d7d1fce"> 243</a></span>std::string <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4a3d2062220dd9481df0589b9d7d1fce">EncodingStr</a>(<span class="keyword">const</span> std::vector<ValueLiteralPair>& enc) {</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> std::string result;</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>& term : enc) {</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> absl::StrAppend(&result, term.literal.DebugString(), <span class="stringliteral">":"</span>,</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> term.value.value(), <span class="stringliteral">" "</span>);</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> }</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span>}</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> </div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span><span class="comment">// If a variable has a size of 2, it is most likely reduced to an affine</span></div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="comment">// expression pointing to a variable with domain [0,1] or [-1,0].</span></div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span><span class="comment">// If the original variable has been removed from the model, then there are no</span></div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span><span class="comment">// implied values from any exactly_one constraint to its domain.</span></div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span><span class="comment">// If we are lucky, one of the literal of the exactly_one constraints, and its</span></div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span><span class="comment">// negation are used to encode the Boolean variable of the affine.</span></div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span><span class="comment">//</span></div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span><span class="comment">// This may fail if exactly_one(l0, l1, l2, l3); l0 and l1 imply x = 0,</span></div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span><span class="comment">// l2 and l3 imply x = 1. In that case, one must look at the binary</span></div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span><span class="comment">// implications to find the missing link.</span></div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span><span class="comment">//</span></div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span><span class="comment">// TODO(user): Consider removing this once we are more complete in our implied</span></div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span><span class="comment">// bounds repository. Because if we can reconcile an encoding, then any of the</span></div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span><span class="comment">// literal in the at most one should imply a value on the boolean view use in</span></div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span><span class="comment">// the size2 affine.</span></div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad95f35bde7b1dce1e0b8eb9fa4acc54b"> 267</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad95f35bde7b1dce1e0b8eb9fa4acc54b">TryToReconcileEncodings</a>(</div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a>& size2_affine, <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a>& affine,</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keyword">const</span> std::vector<ValueLiteralPair>& affine_var_encoding, <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="l00270" name="l00270"></a><span class="lineno"> 270</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a>* builder) {</div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* 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="l00272" name="l00272"></a><span class="lineno"> 272</span> IntegerVariable binary = size2_affine.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>;</div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordflow">if</span> (!integer_encoder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ac9e262bbda19ec4b7d51bd77b70bb363">VariableIsFullyEncoded</a>(binary)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keyword">const</span> std::vector<ValueLiteralPair>& size2_enc =</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> integer_encoder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">FullDomainEncoding</a>(binary);</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(2, size2_enc.size());</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit0 = size2_enc[0].literal;</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> IntegerValue value0 =</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> size2_enc[0].value * size2_affine.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> + size2_affine.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit1 = size2_enc[1].literal;</div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> IntegerValue value1 =</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> size2_enc[1].value * size2_affine.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> + size2_affine.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [unused, candidate_literal] : affine_var_encoding) {</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">if</span> (candidate_literal == lit1) {</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">std::swap</a>(lit0, lit1);</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">std::swap</a>(value0, value1);</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> }</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">if</span> (candidate_literal != lit0) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> </div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="comment">// Compute the minimum energy.</span></div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> IntegerValue min_energy = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>, <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>] : affine_var_encoding) {</div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> = <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> == lit0</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> ? value0 * affine.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>)</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> : value1 * affine.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> min_energy = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a>, min_energy);</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> }</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="comment">// Build the energy expression.</span></div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(min_energy);</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>, <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>] : affine_var_encoding) {</div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> = <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> == lit0</div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> ? value0 * affine.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>)</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> : value1 * affine.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> > min_energy) {</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordflow">if</span> (!builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> - min_energy)) {</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> }</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> }</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> }</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span>}</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> </div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span><span class="comment">// TODO(user): Experiment with x * x where constants = 0, x is</span></div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span><span class="comment">// fully encoded, and the domain is small.</span></div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8d19e8d5e074feb1e673e585b3a04266"> 320</a></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> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a>& left,</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a>& right, <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="l00322" name="l00322"></a><span class="lineno"> 322</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a>* builder) {</div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(builder != <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> </div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* 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="l00327" name="l00327"></a><span class="lineno"> 327</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_implied_bounds.html">ImpliedBounds</a>* implied_bounds = <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_implied_bounds.html">ImpliedBounds</a>>();</div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> </div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keywordflow">if</span> (integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(left)) {</div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">FixedValue</a>(left);</div>
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<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(right, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> }</div>
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<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> </div>
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<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <span class="keywordflow">if</span> (integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(right)) {</div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">FixedValue</a>(right);</div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(left, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> }</div>
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<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="comment">// Linearization is possible if both left and right have the same Boolean</span></div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="comment">// variable.</span></div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) &&</div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>)) == 0 &&</div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>)) == 1) {</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="keyword">const</span> IntegerValue left_coeff =</div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) ? left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> : -left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>;</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keyword">const</span> IntegerValue right_coeff =</div>
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<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) ? right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> : -right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>;</div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>),</div>
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<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> left_coeff * right_coeff + left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> * right_coeff +</div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> left_coeff * right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>);</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> * right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>);</div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> }</div>
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<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> </div>
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<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="comment">// Fill in the encodings for the left variable.</span></div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keyword">const</span> absl::flat_hash_map<int, std::vector<ValueLiteralPair>>&</div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> left_encodings = implied_bounds->GetElementEncodings(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>);</div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> </div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="comment">// Fill in the encodings for the right variable.</span></div>
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<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keyword">const</span> absl::flat_hash_map<int, std::vector<ValueLiteralPair>>&</div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> right_encodings = implied_bounds->GetElementEncodings(right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>);</div>
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<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> </div>
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<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> std::vector<int> compatible_keys;</div>
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<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, encoding] : left_encodings) {</div>
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<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="keywordflow">if</span> (right_encodings.contains(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>)) {</div>
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<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> compatible_keys.push_back(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
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<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> }</div>
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<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> }</div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> </div>
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<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <span class="keywordflow">if</span> (compatible_keys.empty()) {</div>
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<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="keywordflow">if</span> (integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">InitialVariableDomain</a>(left.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>).<a class="code hl_function" href="classoperations__research_1_1_domain.html#a572bd92c25ebc67c72137fd59e53f6d6">Size</a>() == 2) {</div>
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<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, right_encoding] : right_encodings) {</div>
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<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad95f35bde7b1dce1e0b8eb9fa4acc54b">TryToReconcileEncodings</a>(left, right, right_encoding, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> builder)) {</div>
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<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> }</div>
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<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> }</div>
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<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> }</div>
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<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="keywordflow">if</span> (integer_trail-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">InitialVariableDomain</a>(right.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>).<a class="code hl_function" href="classoperations__research_1_1_domain.html#a572bd92c25ebc67c72137fd59e53f6d6">Size</a>() == 2) {</div>
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<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, left_encoding] : left_encodings) {</div>
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<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad95f35bde7b1dce1e0b8eb9fa4acc54b">TryToReconcileEncodings</a>(right, left, left_encoding, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> builder)) {</div>
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<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> }</div>
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<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> }</div>
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<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> }</div>
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<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> }</div>
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<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> </div>
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<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="keywordflow">if</span> (compatible_keys.size() > 1) {</div>
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<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) << <span class="stringliteral">"More than one exactly_one involved in the encoding of the two "</span></div>
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<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="stringliteral">"variables"</span>;</div>
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<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> }</div>
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<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> </div>
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<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="comment">// Select the compatible encoding with the minimum index.</span></div>
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<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keyword">const</span> <span class="keywordtype">int</span> min_index =</div>
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<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> *std::min_element(compatible_keys.begin(), compatible_keys.end());</div>
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<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="comment">// By construction, encodings follow the order of literals in the exactly_one</span></div>
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<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="comment">// constraint.</span></div>
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<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keyword">const</span> std::vector<ValueLiteralPair>& left_encoding =</div>
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<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> left_encodings.at(min_index);</div>
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<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="keyword">const</span> std::vector<ValueLiteralPair>& right_encoding =</div>
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<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> right_encodings.at(min_index);</div>
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<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <a class="code hl_define" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(left_encoding.size(), right_encoding.size());</div>
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<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> </div>
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<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="comment">// Compute the min energy.</span></div>
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<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> IntegerValue min_energy = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
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<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < left_encoding.size(); ++i) {</div>
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<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> = left.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(left_encoding[i].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) *</div>
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<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> right.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(right_encoding[i].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> min_energy = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(min_energy, <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a>);</div>
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<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> }</div>
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<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> </div>
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<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <span class="comment">// Build the linear formulation of the energy.</span></div>
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<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < left_encoding.size(); ++i) {</div>
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<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> = left.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(left_encoding[i].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) *</div>
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<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> right.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(right_encoding[i].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> == min_energy) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> <a class="code hl_define" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(<a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a>, min_energy);</div>
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<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit = left_encoding[i].literal;</div>
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<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> <a class="code hl_define" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(lit, right_encoding[i].<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>);</div>
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<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> </div>
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<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="keywordflow">if</span> (!builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(lit, <a class="code hl_variable" href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a> - min_energy)) {</div>
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<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> }</div>
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<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> }</div>
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<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> builder-><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(min_energy);</div>
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<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span>}</div>
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<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> </div>
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<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5c1deb90ee895ea0cd912af70fe97003"> 433</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5c1deb90ee895ea0cd912af70fe97003">NotLinearizedEnergy</a>() {</div>
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<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> result;</div>
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<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits<int64_t>::min</a>();</div>
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<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span>}</div>
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<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> </div>
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<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a88c8ab90d500702234707905c3b07ad2"> 439</a></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> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr) {</div>
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<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="keywordflow">return</span> !expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.empty() ||</div>
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<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> >= <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits<int64_t>::min</a>();</div>
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<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span>}</div>
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<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> </div>
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<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a47064139cec9b2ea520361ee30f0f243"> 444</a></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="l00445" name="l00445"></a><span class="lineno"> 445</span> <span class="keyword">const</span> std::vector<AffineExpression>& right,</div>
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<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
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<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> std::vector<LinearExpression>* energies) {</div>
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<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> <span class="keyword">auto</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="l00449" name="l00449"></a><span class="lineno"> 449</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < left.size(); ++i) {</div>
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<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> builder(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8d19e8d5e074feb1e673e585b3a04266">DetectLinearEncodingOfProducts</a>(left[i], right[i], <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, &builder)) {</div>
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<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) << <span class="stringliteral">"linearized energy: "</span></div>
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<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> << builder.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a96ececaa94026aaa3a46fb65df0a17a9">BuildExpression</a>().<a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_expression.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>();</div>
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<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> energies->push_back(builder.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a96ececaa94026aaa3a46fb65df0a17a9">BuildExpression</a>());</div>
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<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) << <span class="stringliteral">"Product is not linearizable: demands "</span></div>
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<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> << left[i].DebugString() << <span class="stringliteral">" with var domain "</span></div>
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<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> << integer_trail->InitialVariableDomain(left[i].<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)</div>
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<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> << <span class="stringliteral">", size = "</span> << right[i].DebugString() << <span class="stringliteral">" with var domain "</span></div>
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<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> << integer_trail->InitialVariableDomain(right[i].<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> energies->push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5c1deb90ee895ea0cd912af70fe97003">NotLinearizedEnergy</a>());</div>
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<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> }</div>
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<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> }</div>
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<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span>}</div>
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<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> </div>
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<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00492">base/logging.h:492</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00699">base/logging.h:699</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_ab4f56aa24c4c9cddc47a6abd2d747f9a"><div class="ttname"><a href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a></div><div class="ttdeci">#define DCHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00892">base/logging.h:892</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0"><div class="ttname"><a href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a></div><div class="ttdeci">#define DCHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00887">base/logging.h:887</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00980">base/logging.h:980</a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a4e3670a285a3642eaa07f66766cffa72"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">absl::StrongVector::resize</a></div><div class="ttdeci">void resize(size_type new_size)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00150">strong_vector.h:150</a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a60304b65bf89363bcc3165d3cde67f86"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">absl::StrongVector::size</a></div><div class="ttdeci">size_type size() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00147">strong_vector.h:147</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_domain_html_a572bd92c25ebc67c72137fd59e53f6d6"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a572bd92c25ebc67c72137fd59e53f6d6">operations_research::Domain::Size</a></div><div class="ttdeci">int64_t Size() const</div><div class="ttdoc">Returns the number of elements in the domain.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00196">sorted_interval_list.cc:196</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#l00079">implied_bounds.h:79</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#l00229">implied_bounds.cc:229</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#l00165">implied_bounds.cc:165</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#l00187">implied_bounds.cc:187</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#l00026">implied_bounds.cc:26</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#l00215">implied_bounds.cc:215</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#l00033">implied_bounds.cc:33</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#l00208">implied_bounds.cc:208</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#l00224">implied_bounds.cc:224</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#l00197">implied_bounds.cc:197</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#l00356">integer.h:356</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_a308a6df2722f2c0f36ec8888f4458b41"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">operations_research::sat::IntegerEncoder::GetLiteralView</a></div><div class="ttdeci">const IntegerVariable GetLiteralView(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00493">integer.h:493</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_a9a9cf2e23271baad10b6e66f569049f0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">operations_research::sat::IntegerEncoder::FullDomainEncoding</a></div><div class="ttdeci">std::vector< ValueLiteralPair > FullDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00114">integer.cc:114</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_ac9e262bbda19ec4b7d51bd77b70bb363"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#ac9e262bbda19ec4b7d51bd77b70bb363">operations_research::sat::IntegerEncoder::VariableIsFullyEncoded</a></div><div class="ttdeci">bool VariableIsFullyEncoded(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00079">integer.cc:79</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#l00613">integer.h:613</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a05e837bb93eeabbbd94e8f690dd59d32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">operations_research::sat::IntegerTrail::Enqueue</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool Enqueue(IntegerLiteral i_lit, absl::Span< const Literal > literal_reason, absl::Span< const IntegerLiteral > integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01027">integer.cc:1027</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a523501d854b2ca8034d37c15e7c89117"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">operations_research::sat::IntegerTrail::IsFixed</a></div><div class="ttdeci">bool IsFixed(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01443">integer.h:1443</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01439">integer.h:1439</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a9ab880b5e67213a0607c5c3935da9f08"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">operations_research::sat::IntegerTrail::LevelZeroUpperBound</a></div><div class="ttdeci">IntegerValue LevelZeroUpperBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01524">integer.h:1524</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa4b50c0d69f1c1755bde53fe56de3edf"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">operations_research::sat::IntegerTrail::FixedValue</a></div><div class="ttdeci">IntegerValue FixedValue(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01447">integer.h:1447</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa68cc40c827bff2fb311040e2b848f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">operations_research::sat::IntegerTrail::LevelZeroLowerBound</a></div><div class="ttdeci">IntegerValue LevelZeroLowerBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01519">integer.h:1519</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aab182be7f1a6eccbc2b14c21fce5e9dd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aab182be7f1a6eccbc2b14c21fce5e9dd">operations_research::sat::IntegerTrail::AppendNewBounds</a></div><div class="ttdeci">void AppendNewBounds(std::vector< IntegerLiteral > *output) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01784">integer.cc:1784</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01435">integer.h:1435</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_acc1aaae243ed4381e84f8309aacb3bbc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#acc1aaae243ed4381e84f8309aacb3bbc">operations_research::sat::IntegerTrail::IsOptional</a></div><div class="ttdeci">bool IsOptional(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00695">integer.h:695</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_af4303d31360f06c50729f156b1fbc2a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">operations_research::sat::IntegerTrail::InitialVariableDomain</a></div><div class="ttdeci">const Domain & InitialVariableDomain(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00664">integer.cc:664</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">operations_research::sat::LinearConstraintBuilder</a></div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00152">sat/linear_constraint.h:152</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a094a24aaf66d66b693e7e80a0222f040"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">operations_research::sat::LinearConstraintBuilder::AddLiteralTerm</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool AddLiteralTerm(Literal lit, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00090">sat/linear_constraint.cc:90</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a322657f18d11f256cf3e03b0bd640d5a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">operations_research::sat::LinearConstraintBuilder::AddConstant</a></div><div class="ttdeci">void AddConstant(IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00086">sat/linear_constraint.cc:86</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a96ececaa94026aaa3a46fb65df0a17a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a96ececaa94026aaa3a46fb65df0a17a9">operations_research::sat::LinearConstraintBuilder::BuildExpression</a></div><div class="ttdeci">LinearExpression BuildExpression()</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00132">sat/linear_constraint.cc:132</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::sat::LinearConstraintBuilder::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00191">sat/linear_constraint.h:191</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_ad65ddc0d04d71006a9ebe3b9dcfe2ce6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">operations_research::sat::LinearConstraintBuilder::AddTerm</a></div><div class="ttdeci">void AddTerm(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00025">sat/linear_constraint.cc:25</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#l00066">sat_base.h:66</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#l00038">sat/model.h:38</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a399edcf17da8facedc2891024e16e356"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a399edcf17da8facedc2891024e16e356">operations_research::sat::SatParameters::use_implied_bounds</a></div><div class="ttdeci">bool use_implied_bounds() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l08023">sat_parameters.pb.h:8023</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html_a607d97ccada862073f297bc2d495124d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#a607d97ccada862073f297bc2d495124d">operations_research::sat::SatSolver::FinishPropagation</a></div><div class="ttdeci">bool FinishPropagation()</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8cc_source.html#l00522">sat_solver.cc:522</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html_ad63c4461a1384629cb99413c6df8b9ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">operations_research::sat::SatSolver::CurrentDecisionLevel</a></div><div class="ttdeci">int CurrentDecisionLevel() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00361">sat_solver.h:361</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="aimplied__bounds_8h_html"><div class="ttname"><a href="implied__bounds_8h.html">implied_bounds.h</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_1math__opt_html_a5de89a1f6e3f80a49a0d76136d8044e2"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">operations_research::math_opt::swap</a></div><div class="ttdeci">void swap(IdMap< K, V > &a, IdMap< K, V > &b)</div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00263">id_map.h:263</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits< IntegerValue::ValueType >::max() - 1)</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</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#l00444">implied_bounds.cc:444</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4a3d2062220dd9481df0589b9d7d1fce"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4a3d2062220dd9481df0589b9d7d1fce">operations_research::sat::EncodingStr</a></div><div class="ttdeci">std::string EncodingStr(const std::vector< ValueLiteralPair > &enc)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00243">implied_bounds.cc:243</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_a5c1deb90ee895ea0cd912af70fe97003"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5c1deb90ee895ea0cd912af70fe97003">operations_research::sat::NotLinearizedEnergy</a></div><div class="ttdeci">LinearExpression NotLinearizedEnergy()</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00433">implied_bounds.cc:433</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7f1ac774d4646a83631f8117f4ea03f5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">operations_research::sat::PositiveVariable</a></div><div class="ttdeci">IntegerVariable PositiveVariable(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00143">integer.h:143</a></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#l00439">implied_bounds.cc:439</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#l00320">implied_bounds.cc:320</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector< IntegerVariable > NegationOf(const std::vector< IntegerVariable > &vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00030">integer.cc:30</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad95f35bde7b1dce1e0b8eb9fa4acc54b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad95f35bde7b1dce1e0b8eb9fa4acc54b">operations_research::sat::TryToReconcileEncodings</a></div><div class="ttdeci">bool TryToReconcileEncodings(const AffineExpression &size2_affine, const AffineExpression &affine, const std::vector< ValueLiteralPair > &affine_var_encoding, Model *model, LinearConstraintBuilder *builder)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00267">implied_bounds.cc:267</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#l00139">integer.h:139</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#l00085">optimization.cc:85</a></div></div>
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<div class="ttc" id="apack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
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<div class="ttc" id="aresource_8cc_html_a4a6149ef5bdc681a998b90bb5c165bf3"><div class="ttname"><a href="resource_8cc.html#a4a6149ef5bdc681a998b90bb5c165bf3">energy</a></div><div class="ttdeci">int64_t energy</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00354">resource.cc:354</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="astructoperations__research_1_1sat_1_1_affine_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html">operations_research::sat::AffineExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00227">integer.h:227</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_a06a78ca452e0ab05313a836b024352f2"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">operations_research::sat::AffineExpression::constant</a></div><div class="ttdeci">IntegerValue constant</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00294">integer.h:294</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_a7490e9803eebe0e18b8e8b3dbb3da65b"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">operations_research::sat::AffineExpression::ValueAt</a></div><div class="ttdeci">IntegerValue ValueAt(IntegerValue var_value) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00267">integer.h:267</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_ab6516f556b715738034b30d290c40214"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">operations_research::sat::AffineExpression::var</a></div><div class="ttdeci">IntegerVariable var</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00292">integer.h:292</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_ad7d5fda7881b6c8fdc9d1e7a74ee4a2e"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">operations_research::sat::AffineExpression::coeff</a></div><div class="ttdeci">IntegerValue coeff</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00293">integer.h:293</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#l00041">implied_bounds.h:41</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#l00168">integer.h:168</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_a6c233aafac25ea66d69de93a83c9be63"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">operations_research::sat::IntegerLiteral::GreaterOrEqual</a></div><div class="ttdeci">static IntegerLiteral GreaterOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01377">integer.h:1377</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_aa130e84323404df15a838f6d07e9c775"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">operations_research::sat::IntegerLiteral::bound</a></div><div class="ttdeci">IntegerValue bound</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00212">integer.h:212</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_ab6516f556b715738034b30d290c40214"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">operations_research::sat::IntegerLiteral::var</a></div><div class="ttdeci">IntegerVariable var</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00211">integer.h:211</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html">operations_research::sat::LinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00088">sat/linear_constraint.h:88</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearExpression::vars</a></div><div class="ttdeci">std::vector< IntegerVariable > vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00089">sat/linear_constraint.h:89</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::LinearExpression::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00264">sat/linear_constraint.cc:264</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_acd07f8397a2e61932c8ee17a4e300e23"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">operations_research::sat::LinearExpression::offset</a></div><div class="ttdeci">IntegerValue offset</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00091">sat/linear_constraint.h:91</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_value_literal_pair_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair.html">operations_research::sat::ValueLiteralPair</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00311">integer.h:311</a></div></div>
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