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<div class="headertitle"><div class="title">sat/linear_constraint.h</div></div>
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<a href="sat_2linear__constraint_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<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 &quot;License&quot;);</span></div>
<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>
<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>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<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>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<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>
<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 &quot;AS IS&quot; BASIS,</span></div>
<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>
<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>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_LINEAR_CONSTRAINT_H_</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_SAT_LINEAR_CONSTRAINT_H_</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &quot;<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>&quot;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment">// One linear constraint on a set of Integer variables.</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment">// Important: there should be no duplicate variables.</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">//</span></div>
<div class="line"><a id="l00029" 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>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// constraint at the ROOT node. This should be enforced by the checker for user</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// given constraints, and we must enforce it ourselves for the newly created</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// constraint. See ValidateLinearConstraintForOverflow().</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html"> 33</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040"> 34</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f"> 35</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1"> 36</a></span> std::vector&lt;IntegerVariable&gt; <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a"> 37</a></span> std::vector&lt;IntegerValue&gt; <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73a9ecb4187cf067b6d89210083109aa"> 39</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73a9ecb4187cf067b6d89210083109aa">LinearConstraint</a>() {}</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a872f8136841759147bb8120aca72fa0d"> 40</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a872f8136841759147bb8120aca72fa0d">LinearConstraint</a>(IntegerValue _lb, IntegerValue _ub) : <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>(_lb), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>(_ub) {}</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6"> 42</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue coeff) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(coeff);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#aa71d36872f416feaa853788a7a7a7ef8"> 47</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>() {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = IntegerValue(0);</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a2f5112deb5776f95a5e0902fad467e2b">ClearTerms</a>();</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a2f5112deb5776f95a5e0902fad467e2b"> 52</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a2f5112deb5776f95a5e0902fad467e2b">ClearTerms</a>() {</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.clear();</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.clear();</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a764be64f3029f8b8e23511061d8de355"> 57</a></span> std::string <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> std::string result;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>.value() &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> absl::StrAppend(&amp;result, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>.value(), <span class="stringliteral">&quot; &lt;= &quot;</span>);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> absl::StrAppend(&amp;result, i &gt; 0 ? <span class="stringliteral">&quot; &quot;</span> : <span class="stringliteral">&quot;&quot;</span>,</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a429d1fd54b5becc39e4cfbc608d7d70a">IntegerTermDebugString</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]));</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value() &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> absl::StrAppend(&amp;result, <span class="stringliteral">&quot; &lt;= &quot;</span>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value());</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> }</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> }</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4bd9f4d170b09ddbfb93957c70caee79"> 72</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4bd9f4d170b09ddbfb93957c70caee79">operator==</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> other)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">if</span> (this-&gt;lb != other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">if</span> (this-&gt;ub != other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">if</span> (this-&gt;vars != other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">if</span> (this-&gt;coeffs != other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>};</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a9ff9b7f7a0e15c369487e0c089dba1a2"> 81</a></span><span class="keyword">inline</span> std::ostream&amp; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operator&lt;&lt;</a>(std::ostream&amp; os, <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> os &lt;&lt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.DebugString();</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">return</span> os;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span>}</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="comment">// Helper struct to model linear expression for lin_min/lin_max constraints. The</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="comment">// canonical expression should only contain positive coefficients.</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html"> 88</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> {</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1"> 89</a></span> std::vector&lt;IntegerVariable&gt; <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a"> 90</a></span> std::vector&lt;IntegerValue&gt; <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23"> 91</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = IntegerValue(0);</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// Return the evaluation of the linear expression using the values from</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// lp_values.</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">double</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_expression.html#aa9c149604bc3f558e14c6d233ebc4b19">LpValue</a>(</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; lp_values) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> std::string <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_expression.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span>};</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="comment">// Returns the same expression in the canonical form (all positive</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="comment">// coefficients).</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</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#a5ec390fe1c25c7af4de7a30f84a0cd27">CanonicalizeExpr</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span><span class="comment">// Returns lower bound of linear expression using variable bounds of the</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="comment">// variables in expression. Assumes Canonical expression (all positive</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span><span class="comment">// coefficients).</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span>IntegerValue <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr,</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&amp; integer_trail);</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span><span class="comment">// Returns upper bound of linear expression using variable bounds of the</span></div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span><span class="comment">// variables in expression. Assumes Canonical expression (all positive</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span><span class="comment">// coefficients).</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>IntegerValue <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr,</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&amp; integer_trail);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="comment">// Makes sure that any of our future computation on this constraint will not</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="comment">// cause overflow. We use the level zero bounds and use the same definition as</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment">// in PossibleIntegerOverflow() in the cp_model.proto checker.</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment">//</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span><span class="comment">// Namely, the sum of positive terms, the sum of negative terms and their</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span><span class="comment">// difference shouldn&#39;t overflow. Note that we don&#39;t validate the rhs, but if</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span><span class="comment">// the bounds are properly relaxed, then this shouldn&#39;t cause any issues.</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="comment">//</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span><span class="comment">// Note(user): We should avoid doing this test too often as it can be slow. At</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="comment">// least do not do it more than once on each constraint.</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c5d040da1879626549b8877fa275d86">ValidateLinearConstraintForOverflow</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint,</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&amp; integer_trail);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span><span class="comment">// Preserves canonicality.</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</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#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="comment">// Returns the same expression with positive variables.</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</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#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment">// Returns the coefficient of the variable in the expression. Works in linear</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="comment">// time.</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span><span class="comment">// Note: GetCoefficient(NegationOf(var, expr)) == -GetCoefficient(var, expr).</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span>IntegerValue <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span>IntegerValue <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr);</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="comment">// Allow to build a LinearConstraint while making sure there is no duplicate</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="comment">// variables. Note that we do not simplify literal/variable that are currently</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment">// fixed here.</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html"> 147</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html">LinearConstraintBuilder</a> {</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// We support &quot;sticky&quot; kMinIntegerValue for lb and kMaxIntegerValue for ub</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// for one-sided constraints.</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="comment">//</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="comment">// Assumes that the &#39;model&#39; has IntegerEncoder.</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ac4f3463a3a8c65c17b54653af8aaba1f"> 153</a></span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ac4f3463a3a8c65c17b54653af8aaba1f">LinearConstraintBuilder</a>(<span class="keyword">const</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>, IntegerValue lb, IntegerValue ub)</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> : encoder_(*<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;()), lb_(lb), ub_(ub) {}</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="comment">// Adds var * coeff to the constraint.</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue coeff);</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr, IntegerValue coeff);</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr);</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr, IntegerValue coeff);</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">// Add an under linearization of the product of two affine expressions.</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// If at least one of them is fixed, then we add the exact product (which is</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// linear). Otherwise, we use McCormick relaxation:</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">// left * right = (left_min + delta_left) * (right_min + delta_right) =</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="comment">// left_min * right_min + delta_left * right_min +</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// delta_right * left_min + delta_left * delta_right</span></div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// which is &gt;= (by ignoring the quatratic term)</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// right_min * left + left_min * right - right_min * left_min</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">//</span></div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="comment">// TODO(user): We could use (max - delta) instead of (min + delta) for each</span></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// expression instead. This would depend on the LP value of the left and</span></div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// right.</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5">AddQuadraticLowerBound</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> left, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> right,</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// Add value as a constant term to the linear equation.</span></div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="comment">// Add literal * coeff to the constaint. Returns false and do nothing if the</span></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// given literal didn&#39;t have an integer view.</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit, IntegerValue coeff);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// Builds and return the corresponding constraint in a canonical form.</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// All the IntegerVariable will be positive and appear in increasing index</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// order.</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">//</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// TODO(user): this doesn&#39;t invalidate the builder object, but if one wants</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// to do a lot of dynamic editing to the constraint, then then underlying</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// algorithm needs to be optimized of that.</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>();</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&amp; encoder_;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> IntegerValue lb_;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> IntegerValue ub_;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// Initially we push all AddTerm() here, and during Build() we merge terms</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// on the same variable.</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> std::vector&lt;std::pair&lt;IntegerVariable, IntegerValue&gt;&gt; terms_;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span>};</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span><span class="comment">// Returns the activity of the given constraint. That is the current value of</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span><span class="comment">// the linear terms.</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2">ComputeActivity</a>(</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">const</span> LinearConstraint&amp; constraint,</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; values);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span><span class="comment">// Returns sqrt(sum square(coeff)).</span></div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a89bc8a9319a176bb809f209617fa10ca">ComputeL2Norm</a>(<span class="keyword">const</span> LinearConstraint&amp; constraint);</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span><span class="comment">// Returns the maximum absolute value of the coefficients.</span></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span>IntegerValue <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">ComputeInfinityNorm</a>(<span class="keyword">const</span> LinearConstraint&amp; constraint);</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> </div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span><span class="comment">// Returns the scalar product of given constraint coefficients. This method</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span><span class="comment">// assumes that the constraint variables are in sorted order.</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a58fbc2d7f414974dcb10768e6ffdf68e">ScalarProduct</a>(<span class="keyword">const</span> LinearConstraint&amp; constraint1,</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">const</span> LinearConstraint&amp; constraint2);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span><span class="comment">// Computes the GCD of the constraint coefficient, and divide them by it. This</span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span><span class="comment">// also tighten the constraint bounds assumming all the variables are integer.</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(LinearConstraint* constraint);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span><span class="comment">// Removes the entries with a coefficient of zero.</span></div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">RemoveZeroTerms</a>(LinearConstraint* constraint);</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span><span class="comment">// Makes all coefficients positive by transforming a variable to its negation.</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">MakeAllCoefficientsPositive</a>(LinearConstraint* constraint);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span><span class="comment">// Makes all variables &quot;positive&quot; by transforming a variable to its negation.</span></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">MakeAllVariablesPositive</a>(LinearConstraint* constraint);</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span><span class="comment">// Sorts and merges duplicate IntegerVariable in the given &quot;terms&quot;.</span></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span><span class="comment">// Fills the given LinearConstraint with the result.</span></div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a102dd21542ad1476a399d67d1e7e085a">CleanTermsAndFillConstraint</a>(</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> std::vector&lt;std::pair&lt;IntegerVariable, IntegerValue&gt;&gt;* terms,</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> LinearConstraint* constraint);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span><span class="comment">// Sorts the terms and makes all IntegerVariable positive. This assumes that a</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span><span class="comment">// variable or its negation only appear once.</span></div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span><span class="comment">//</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span><span class="comment">// Note that currently this allocates some temporary memory.</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2">CanonicalizeConstraint</a>(LinearConstraint* <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span><span class="comment">// Returns false if duplicate variables are found in ct.</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7e57f3af8ac7a8b8030adb1019cf2b44">NoDuplicateVariable</a>(<span class="keyword">const</span> LinearConstraint&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> </div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_LINEAR_CONSTRAINT_H_</span></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt; IntegerVariable, double &gt;</a></div></div>
<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#l00306">integer.h:306</a></div></div>
<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#l00574">integer.h:574</a></div></div>
<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#l00147">sat/linear_constraint.h:147</a></div></div>
<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#l00093">sat/linear_constraint.cc:93</a></div></div>
<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#l00088">sat/linear_constraint.cc:88</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a49e8e4a987d39f4da335e1ed287bb8ad"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">operations_research::sat::LinearConstraintBuilder::AddLinearExpression</a></div><div class="ttdeci">void AddLinearExpression(const LinearExpression &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00052">sat/linear_constraint.cc:52</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_builder_html_a7e251202babf951363efedbd30af45c5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5">operations_research::sat::LinearConstraintBuilder::AddQuadraticLowerBound</a></div><div class="ttdeci">void AddQuadraticLowerBound(AffineExpression left, AffineExpression right, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00071">sat/linear_constraint.cc:71</a></div></div>
<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="sat_2linear__constraint_8cc_source.html#l00154">sat/linear_constraint.cc:154</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00153">sat/linear_constraint.h:153</a></div></div>
<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>
<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#l00065">sat_base.h:65</a></div></div>
<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>
<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#l00043">demon_profiler.cc:43</a></div></div>
<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>
<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>
<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#l00273">gurobi_interface.cc:273</a></div></div>
<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a0c5d040da1879626549b8877fa275d86"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0c5d040da1879626549b8877fa275d86">operations_research::sat::ValidateLinearConstraintForOverflow</a></div><div class="ttdeci">bool ValidateLinearConstraintForOverflow(const LinearConstraint &amp;constraint, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00376">sat/linear_constraint.cc:376</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a102dd21542ad1476a399d67d1e7e085a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a102dd21542ad1476a399d67d1e7e085a">operations_research::sat::CleanTermsAndFillConstraint</a></div><div class="ttdeci">void CleanTermsAndFillConstraint(std::vector&lt; std::pair&lt; IntegerVariable, IntegerValue &gt; &gt; *terms, LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00123">sat/linear_constraint.cc:123</a></div></div>
<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&lt; IntegerValue::ValueType &gt;::max() - 1)</div></div>
<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 &amp;expr, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00354">sat/linear_constraint.cc:354</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a15ca399ada8a279dc92f693ede7e4004"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operations_research::sat::operator&lt;&lt;</a></div><div class="ttdeci">std::ostream &amp; operator&lt;&lt;(std::ostream &amp;os, const BoolVar &amp;var)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8cc_source.html#l00068">cp_model.cc:68</a></div></div>
<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>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a429d1fd54b5becc39e4cfbc608d7d70a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a429d1fd54b5becc39e4cfbc608d7d70a">operations_research::sat::IntegerTermDebugString</a></div><div class="ttdeci">std::string IntegerTermDebugString(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00152">integer.h:152</a></div></div>
<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="sat_2linear__constraint_8cc_source.html#l00243">sat/linear_constraint.cc:243</a></div></div>
<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 &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00410">sat/linear_constraint.cc:410</a></div></div>
<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 &amp;constraint1, const LinearConstraint &amp;constraint2)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00190">sat/linear_constraint.cc:190</a></div></div>
<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="sat_2linear__constraint_8cc_source.html#l00256">sat/linear_constraint.cc:256</a></div></div>
<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 &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00339">sat/linear_constraint.cc:339</a></div></div>
<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="sat_2linear__constraint_8cc_source.html#l00305">sat/linear_constraint.cc:305</a></div></div>
<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 &amp;ct)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00326">sat/linear_constraint.cc:326</a></div></div>
<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 &amp;constraint)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00174">sat/linear_constraint.cc:174</a></div></div>
<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 &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00425">sat/linear_constraint.cc:425</a></div></div>
<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="sat_2linear__constraint_8cc_source.html#l00267">sat/linear_constraint.cc:267</a></div></div>
<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&lt; IntegerVariable &gt; NegationOf(const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00029">integer.cc:29</a></div></div>
<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 &amp;expr)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00437">sat/linear_constraint.cc:437</a></div></div>
<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 &amp;constraint)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00182">sat/linear_constraint.cc:182</a></div></div>
<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 &amp;expr, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00364">sat/linear_constraint.cc:364</a></div></div>
<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="sat_2linear__constraint_8cc_source.html#l00229">sat/linear_constraint.cc:229</a></div></div>
<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 &amp;constraint, const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;values)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00162">sat/linear_constraint.cc:162</a></div></div>
<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>
<div class="ttc" id="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
<div class="ttc" id="astrong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
<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#l00220">integer.h:220</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00033">sat/linear_constraint.h:33</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00034">sat/linear_constraint.h:34</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00052">sat/linear_constraint.h:52</a></div></div>
<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&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00037">sat/linear_constraint.h:37</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00072">sat/linear_constraint.h:72</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00035">sat/linear_constraint.h:35</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00039">sat/linear_constraint.h:39</a></div></div>
<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&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00036">sat/linear_constraint.h:36</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00057">sat/linear_constraint.h:57</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00040">sat/linear_constraint.h:40</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::sat::LinearConstraint::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00047">sat/linear_constraint.h:47</a></div></div>
<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="sat_2linear__constraint_8h_source.html#l00042">sat/linear_constraint.h:42</a></div></div>
<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>
<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&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00090">sat/linear_constraint.h:90</a></div></div>
<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&lt; IntegerVariable &gt; 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>
<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#l00287">sat/linear_constraint.cc:287</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_aa9c149604bc3f558e14c6d233ebc4b19"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#aa9c149604bc3f558e14c6d233ebc4b19">operations_research::sat::LinearExpression::LpValue</a></div><div class="ttdeci">double LpValue(const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_values) const</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8cc_source.html#l00278">sat/linear_constraint.cc:278</a></div></div>
<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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