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<div class="title">linear_constraint.h</div> </div>
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<a href="linear__constraint_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a 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 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 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 name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a 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 name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a 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 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 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 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 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 name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#ifndef OR_TOOLS_SAT_LINEAR_CONSTRAINT_H_</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#define OR_TOOLS_SAT_LINEAR_CONSTRAINT_H_</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</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 name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">namespace </span>sat {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">// One linear constraint on a set of Integer variables.</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// Important: there should be no duplicate variables.</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// We also assume that we never have integer overflow when evaluating such</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// constraint. This should be enforced by the checker for user given</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// constraints, and we must enforce it ourselves for the newly created</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// constraint. We requires:</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// - sum_i max(0, max(c_i * lb_i, c_i * ub_i)) < kMaxIntegerValue.</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// - sum_i min(0, min(c_i * lb_i, c_i * ub_i)) > kMinIntegerValue</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// so that in whichever order we compute the sum, we have no overflow. Note</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// that this condition invoves the bounds of the variables.</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// TODO(user): Add DCHECKs for the no-overflow property? but we need access</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// to the variable bounds.</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html"> 40</a></span> <span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> {</div>
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<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040"> 41</a></span>  IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>;</div>
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<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f"> 42</a></span>  IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
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<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1"> 43</a></span>  std::vector<IntegerVariable> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div>
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<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a"> 44</a></span>  std::vector<IntegerValue> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
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<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73a9ecb4187cf067b6d89210083109aa"> 46</a></span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73a9ecb4187cf067b6d89210083109aa">LinearConstraint</a>() {}</div>
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<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a872f8136841759147bb8120aca72fa0d"> 47</a></span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a872f8136841759147bb8120aca72fa0d">LinearConstraint</a>(IntegerValue _lb, IntegerValue _ub) : <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>(_lb), <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>(_ub) {}</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6"> 49</a></span>  <span class="keywordtype">void</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue coeff) {</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(coeff);</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  }</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
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<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a2f5112deb5776f95a5e0902fad467e2b"> 54</a></span>  <span class="keywordtype">void</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a2f5112deb5776f95a5e0902fad467e2b">ClearTerms</a>() {</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.clear();</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.clear();</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
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<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a764be64f3029f8b8e23511061d8de355"> 59</a></span>  std::string <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  std::string result;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>.value() > <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  absl::StrAppend(&result, <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>.value(), <span class="stringliteral">" <= "</span>);</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> IntegerValue coeff =</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]) ? <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] : -<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  absl::StrAppend(&result, i > 0 ? <span class="stringliteral">" "</span> : <span class="stringliteral">""</span>, coeff.value(), <span class="stringliteral">"*X"</span>,</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i].value() / 2);</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value() < <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  absl::StrAppend(&result, <span class="stringliteral">" <= "</span>, <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value());</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">return</span> result;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
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<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4bd9f4d170b09ddbfb93957c70caee79"> 76</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4bd9f4d170b09ddbfb93957c70caee79">operator==</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> other)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">if</span> (this->lb != other.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">if</span> (this->ub != other.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">if</span> (this->vars != other.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">if</span> (this->coeffs != other.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> };</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// Allow to build a LinearConstraint while making sure there is no duplicate</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// variables. Note that we do not simplify literal/variable that are currently</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// fixed here.</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html"> 88</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> {</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// We support "sticky" kMinIntegerValue for lb and kMaxIntegerValue for ub</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// for one-sided constraints.</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// Assumes that the 'model' has IntegerEncoder.</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ac4f3463a3a8c65c17b54653af8aaba1f"> 94</a></span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ac4f3463a3a8c65c17b54653af8aaba1f">LinearConstraintBuilder</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue lb, IntegerValue ub)</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  : encoder_(*<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->Get<<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>>()), lb_(lb), ub_(ub) {}</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">// Adds var * coeff to the constraint.</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue coeff);</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr, IntegerValue coeff);</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// Add value as a constant term to the linear equation.</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(IntegerValue <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// Add literal * coeff to the constaint. Returns false and do nothing if the</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// given literal didn't have an integer view.</span></div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit, IntegerValue coeff);</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// Builds and return the corresponding constraint in a canonical form.</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">// All the IntegerVariable will be positive and appear in increasing index</span></div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// order.</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// TODO(user): this doesn't invalidate the builder object, but if one wants</span></div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="comment">// to do a lot of dynamic editing to the constraint, then then underlying</span></div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// algorithm needs to be optimized of that.</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>();</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>& encoder_;</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  IntegerValue lb_;</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  IntegerValue ub_;</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// Initially we push all AddTerm() here, and during Build() we merge terms</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">// on the same variable.</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  std::vector<std::pair<IntegerVariable, IntegerValue>> terms_;</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> };</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment">// Returns the activity of the given constraint. That is the current value of</span></div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// the linear terms.</span></div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2">ComputeActivity</a>(</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> LinearConstraint& constraint,</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">const</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IntegerVariable, double></a>& values);</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// Returns sqrt(sum square(coeff)).</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a89bc8a9319a176bb809f209617fa10ca">ComputeL2Norm</a>(<span class="keyword">const</span> LinearConstraint& constraint);</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// Returns the maximum absolute value of the coefficients.</span></div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">ComputeInfinityNorm</a>(<span class="keyword">const</span> LinearConstraint& constraint);</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment">// Returns the scalar product of given constraint coefficients. This method</span></div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// assumes that the constraint variables are in sorted order.</span></div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a58fbc2d7f414974dcb10768e6ffdf68e">ScalarProduct</a>(<span class="keyword">const</span> LinearConstraint& constraint1,</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">const</span> LinearConstraint& constraint2);</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment">// Computes the GCD of the constraint coefficient, and divide them by it. This</span></div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// also tighten the constraint bounds assumming all the variables are integer.</span></div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(LinearConstraint* constraint);</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// Removes the entries with a coefficient of zero.</span></div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">RemoveZeroTerms</a>(LinearConstraint* constraint);</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment">// Makes all coefficients positive by transforming a variable to its negation.</span></div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">MakeAllCoefficientsPositive</a>(LinearConstraint* constraint);</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// Makes all variables "positive" by transforming a variable to its negation.</span></div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">MakeAllVariablesPositive</a>(LinearConstraint* constraint);</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment">// Sorts and merges duplicate IntegerVariable in the given "terms".</span></div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// Fills the given LinearConstraint with the result.</span></div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  std::vector<std::pair<IntegerVariable, IntegerValue>>* terms,</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  LinearConstraint* constraint);</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// Sorts the terms and makes all IntegerVariable positive. This assumes that a</span></div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// variable or its negation only appear once.</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment">// Note that currently this allocates some temporary memory.</span></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2">CanonicalizeConstraint</a>(LinearConstraint* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// Returns false if duplicate variables are found in ct.</span></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a7e57f3af8ac7a8b8030adb1019cf2b44">NoDuplicateVariable</a>(<span class="keyword">const</span> LinearConstraint& <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// Helper struct to model linear expression for lin_min/lin_max constraints. The</span></div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// canonical expression should only contain positive coefficients.</span></div>
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<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html"> 174</a></span> <span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> {</div>
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<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1"> 175</a></span>  std::vector<IntegerVariable> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div>
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<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a"> 176</a></span>  std::vector<IntegerValue> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
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<div class="line"><a name="l00177"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23"> 177</a></span>  IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = IntegerValue(0);</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> };</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment">// Returns the same expression in the canonical form (all positive</span></div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// coefficients).</span></div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">CanonicalizeExpr</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr);</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// Returns lower bound of linear expression using variable bounds of the</span></div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// variables in expression. Assumes Canonical expression (all positive</span></div>
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|
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// coefficients).</span></div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr,</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>& integer_trail);</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Returns upper bound of linear expression using variable bounds of the</span></div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// variables in expression. Assumes Canonical expression (all positive</span></div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// coefficients).</span></div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr,</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>& integer_trail);</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment">// Preserves canonicality.</span></div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr);</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// Returns the same expression with positive variables.</span></div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr);</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  </div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// Returns the coefficient of the variable in the expression. Works in linear</span></div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// time.</span></div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// Note: GetCoefficient(NegationOf(var, expr)) == -GetCoefficient(var, expr).</span></div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr);</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>& expr);</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  </div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> } <span class="comment">// namespace sat</span></div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  </div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_LINEAR_CONSTRAINT_H_</span></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector< IntegerVariable, double ></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#l00276">integer.h:276</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#l00540">integer.h:540</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="linear__constraint_8h_source.html#l00088">linear_constraint.h:88</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="linear__constraint_8cc_source.html#l00053">linear_constraint.cc:53</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="linear__constraint_8cc_source.html#l00048">linear_constraint.cc:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a8ef32d79f50eb45bb9305c8b436cf6c4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">operations_research::sat::LinearConstraintBuilder::Build</a></div><div class="ttdeci">LinearConstraint Build()</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00114">linear_constraint.cc:114</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_ac4f3463a3a8c65c17b54653af8aaba1f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ac4f3463a3a8c65c17b54653af8aaba1f">operations_research::sat::LinearConstraintBuilder::LinearConstraintBuilder</a></div><div class="ttdeci">LinearConstraintBuilder(const Model *model, IntegerValue lb, IntegerValue ub)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00094">linear_constraint.h:94</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="linear__constraint_8cc_source.html#l00023">linear_constraint.cc:23</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#l00064">sat_base.h:64</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="ademon__profiler_8cc_html_a05da18ca9c7b657a4a6ea24e07c9b695"><div class="ttname"><a href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a></div><div class="ttdeci">const Constraint * ct</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00042">demon_profiler.cc:42</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</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#l01858">expr_array.cc:1858</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#l00272">gurobi_interface.cc:272</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_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_a14ed349a41e2b31bb1c15ea3c44a6bc0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">operations_research::sat::LinExprLowerBound</a></div><div class="ttdeci">IntegerValue LinExprLowerBound(const LinearExpression &expr, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00293">linear_constraint.cc:293</a></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_a4393db2c15b2f92d7ef16ce6b38c8150"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">operations_research::sat::RemoveZeroTerms</a></div><div class="ttdeci">void RemoveZeroTerms(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00203">linear_constraint.cc:203</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4ff205ed5a074bbe499b1fa20da1dd9b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">operations_research::sat::PositiveVarExpr</a></div><div class="ttdeci">LinearExpression PositiveVarExpr(const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00321">linear_constraint.cc:321</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a58fbc2d7f414974dcb10768e6ffdf68e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a58fbc2d7f414974dcb10768e6ffdf68e">operations_research::sat::ScalarProduct</a></div><div class="ttdeci">double ScalarProduct(const LinearConstraint &constraint1, const LinearConstraint &constraint2)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00150">linear_constraint.cc:150</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5d3aa6734674f8f81aac3895cde58d6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">operations_research::sat::MakeAllCoefficientsPositive</a></div><div class="ttdeci">void MakeAllCoefficientsPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00216">linear_constraint.cc:216</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5ec390fe1c25c7af4de7a30f84a0cd27"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">operations_research::sat::CanonicalizeExpr</a></div><div class="ttdeci">LinearExpression CanonicalizeExpr(const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00278">linear_constraint.cc:278</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a6b1886825a71bbbe156439e2e1dacbc2"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2">operations_research::sat::CanonicalizeConstraint</a></div><div class="ttdeci">void CanonicalizeConstraint(LinearConstraint *ct)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00244">linear_constraint.cc:244</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7e57f3af8ac7a8b8030adb1019cf2b44"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7e57f3af8ac7a8b8030adb1019cf2b44">operations_research::sat::NoDuplicateVariable</a></div><div class="ttdeci">bool NoDuplicateVariable(const LinearConstraint &ct)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00265">linear_constraint.cc:265</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a89bc8a9319a176bb809f209617fa10ca"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a89bc8a9319a176bb809f209617fa10ca">operations_research::sat::ComputeL2Norm</a></div><div class="ttdeci">double ComputeL2Norm(const LinearConstraint &constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00134">linear_constraint.cc:134</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8b7508824efeabdd4dfd00ab39bfb969"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">operations_research::sat::GetCoefficient</a></div><div class="ttdeci">IntegerValue GetCoefficient(const IntegerVariable var, const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00336">linear_constraint.cc:336</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa2ba15be9aeabce0142c726fbf880798"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">operations_research::sat::MakeAllVariablesPositive</a></div><div class="ttdeci">void MakeAllVariablesPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00227">linear_constraint.cc:227</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#l00027">integer.cc:27</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab7b2c273b19bf885462dfa04611e4e62"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">operations_research::sat::GetCoefficientOfPositiveVar</a></div><div class="ttdeci">IntegerValue GetCoefficientOfPositiveVar(const IntegerVariable var, const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00348">linear_constraint.cc:348</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acb294633c7688f918623b3b0e09aec43"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">operations_research::sat::ComputeInfinityNorm</a></div><div class="ttdeci">IntegerValue ComputeInfinityNorm(const LinearConstraint &constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00142">linear_constraint.cc:142</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acbbef9110caafe014de5510ddd26b45f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">operations_research::sat::CleanTermsAndFillConstraint</a></div><div class="ttdeci">void CleanTermsAndFillConstraint(std::vector< std::pair< IntegerVariable, IntegerValue >> *terms, LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00083">linear_constraint.cc:83</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad8620567e3849359ab6deda5f97aef91"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">operations_research::sat::LinExprUpperBound</a></div><div class="ttdeci">IntegerValue LinExprUpperBound(const LinearExpression &expr, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00303">linear_constraint.cc:303</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#l00130">integer.h:130</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae3c495e2e05950c578b01976701f9b2a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">operations_research::sat::DivideByGCD</a></div><div class="ttdeci">void DivideByGCD(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00189">linear_constraint.cc:189</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aea18a909121c1c2ba4a818298611f0b2"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2">operations_research::sat::ComputeActivity</a></div><div class="ttdeci">double ComputeActivity(const LinearConstraint &constraint, const absl::StrongVector< IntegerVariable, double > &values)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00122">linear_constraint.cc:122</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">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</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="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
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<div class="ttc" id="astrong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.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#l00205">integer.h:205</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html">operations_research::sat::LinearConstraint</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00040">linear_constraint.h:40</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a0ee34e5c6fbf075def1a6c2f0c42d040"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">operations_research::sat::LinearConstraint::lb</a></div><div class="ttdeci">IntegerValue lb</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00041">linear_constraint.h:41</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a2f5112deb5776f95a5e0902fad467e2b"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a2f5112deb5776f95a5e0902fad467e2b">operations_research::sat::LinearConstraint::ClearTerms</a></div><div class="ttdeci">void ClearTerms()</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00054">linear_constraint.h:54</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearConstraint::coeffs</a></div><div class="ttdeci">std::vector< IntegerValue > coeffs</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00044">linear_constraint.h:44</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a4bd9f4d170b09ddbfb93957c70caee79"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4bd9f4d170b09ddbfb93957c70caee79">operations_research::sat::LinearConstraint::operator==</a></div><div class="ttdeci">bool operator==(const LinearConstraint other) const</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00076">linear_constraint.h:76</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">operations_research::sat::LinearConstraint::ub</a></div><div class="ttdeci">IntegerValue ub</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00042">linear_constraint.h:42</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a73a9ecb4187cf067b6d89210083109aa"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73a9ecb4187cf067b6d89210083109aa">operations_research::sat::LinearConstraint::LinearConstraint</a></div><div class="ttdeci">LinearConstraint()</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00046">linear_constraint.h:46</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearConstraint::vars</a></div><div class="ttdeci">std::vector< IntegerVariable > vars</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00043">linear_constraint.h:43</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::LinearConstraint::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00059">linear_constraint.h:59</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a872f8136841759147bb8120aca72fa0d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a872f8136841759147bb8120aca72fa0d">operations_research::sat::LinearConstraint::LinearConstraint</a></div><div class="ttdeci">LinearConstraint(IntegerValue _lb, IntegerValue _ub)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00047">linear_constraint.h:47</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_ad65ddc0d04d71006a9ebe3b9dcfe2ce6"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">operations_research::sat::LinearConstraint::AddTerm</a></div><div class="ttdeci">void AddTerm(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00049">linear_constraint.h:49</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="linear__constraint_8h_source.html#l00174">linear_constraint.h:174</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearExpression::coeffs</a></div><div class="ttdeci">std::vector< IntegerValue > coeffs</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00176">linear_constraint.h:176</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="linear__constraint_8h_source.html#l00175">linear_constraint.h:175</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="linear__constraint_8h_source.html#l00177">linear_constraint.h:177</a></div></div>
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