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<div class="headertitle"><div class="title">sat/linear_constraint.cc</div></div>
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<a href="sat_2linear__constraint_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<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">#include &quot;<a class="code" href="sat_2linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>&quot;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &quot;<a class="code" href="mathutil_8h.html">ortools/base/mathutil.h</a>&quot;</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> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6"> 25</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">LinearConstraintBuilder::AddTerm</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue coeff) {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">if</span> (coeff == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// We can either add var or NegationOf(var), and we always choose the</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// positive one.</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> terms_.push_back({<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, coeff});</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> terms_.push_back({<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>), -coeff});</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> }</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>}</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a283f3aa3c17ea8153287276f5a7d1435"> 36</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">LinearConstraintBuilder::AddTerm</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr,</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> IntegerValue coeff) {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (coeff == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// We can either add var or NegationOf(var), and we always choose the</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// positive one.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">if</span> (expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>)) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> terms_.push_back({expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, coeff * expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>});</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> terms_.push_back({<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>), -coeff * expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>});</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"> 47</span> }</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">if</span> (lb_ &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= coeff * expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">if</span> (ub_ &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= coeff * expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</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="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad"> 52</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">LinearConstraintBuilder::AddLinearExpression</a>(</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</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="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">AddLinearExpression</a>(expr, IntegerValue(1));</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="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a1870e6e525b08bc771c4b8d26af5bdf1"> 57</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a49e8e4a987d39f4da335e1ed287bb8ad">LinearConstraintBuilder::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="l00058" name="l00058"></a><span class="lineno"> 58</span> IntegerValue coeff) {</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// We must use positive variables.</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i])) {</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> terms_.push_back({expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] * coeff});</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> terms_.push_back({<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]), -expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] * coeff});</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> }</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">if</span> (lb_ &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> * coeff;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">if</span> (ub_ &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> * coeff;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span>}</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"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5"> 71</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a7e251202babf951363efedbd30af45c5">LinearConstraintBuilder::AddQuadraticLowerBound</a>(</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <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="l00073" name="l00073"></a><span class="lineno"> 73</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="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">if</span> (left.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a4687879cc255cc87f94d3b79484e60e7">IsFixed</a>(integer_trail)) {</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(right, left.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a155597f12e920a6ff8256360ed91d061">Min</a>(integer_trail));</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (right.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a4687879cc255cc87f94d3b79484e60e7">IsFixed</a>(integer_trail)) {</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(left, right.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a155597f12e920a6ff8256360ed91d061">Min</a>(integer_trail));</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">const</span> IntegerValue left_min = left.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a155597f12e920a6ff8256360ed91d061">Min</a>(integer_trail);</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">const</span> IntegerValue right_min = right.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a155597f12e920a6ff8256360ed91d061">Min</a>(integer_trail);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(left, right_min);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(right, left_min);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// Substract the energy counted twice.</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">AddConstant</a>(-left_min * right_min);</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>}</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a"> 88</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">LinearConstraintBuilder::AddConstant</a>(IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">if</span> (lb_ &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">if</span> (ub_ &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span>}</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"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040"> 93</a></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">LinearConstraintBuilder::AddLiteralTerm</a>(</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <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="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">bool</span> has_direct_view = encoder_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit) != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">bool</span> has_opposite_view =</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> encoder_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()) != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// If a literal has both views, we want to always keep the same</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// representative: the smallest IntegerVariable. Note that AddTerm() will</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// also make sure to use the associated positive variable.</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">if</span> (has_direct_view &amp;&amp; has_opposite_view) {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">if</span> (encoder_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit) &lt;=</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> encoder_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>())) {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> has_opposite_view = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> has_direct_view = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">if</span> (has_direct_view) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(encoder_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit), coeff);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (has_opposite_view) {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(encoder_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()), -coeff);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">if</span> (lb_ &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= coeff;</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">if</span> (ub_ &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= coeff;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span>}</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a102dd21542ad1476a399d67d1e7e085a"> 123</a></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="l00124" name="l00124"></a><span class="lineno"> 124</span> std::vector&lt;std::pair&lt;IntegerVariable, IntegerValue&gt;&gt;* terms,</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> constraint-&gt;<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="l00127" name="l00127"></a><span class="lineno"> 127</span> constraint-&gt;<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="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// Sort and add coeff of duplicate variables. Note that a variable and</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// its negation will appear one after another in the natural order.</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> std::sort(terms-&gt;begin(), terms-&gt;end());</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> IntegerVariable previous_var = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> IntegerValue current_coeff(0);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;IntegerVariable, IntegerValue&gt; entry : *terms) {</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">if</span> (previous_var == entry.first) {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> current_coeff += entry.second;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (previous_var == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(entry.first)) {</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> current_coeff -= entry.second;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">if</span> (current_coeff != 0) {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(previous_var);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(current_coeff);</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> previous_var = entry.first;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> current_coeff = entry.second;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> }</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordflow">if</span> (current_coeff != 0) {</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(previous_var);</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(current_coeff);</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> }</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span>}</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4"> 154</a></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">LinearConstraintBuilder::Build</a>() {</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> result;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = lb_;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> result.<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="l00158" name="l00158"></a><span class="lineno"> 158</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a102dd21542ad1476a399d67d1e7e085a">CleanTermsAndFillConstraint</a>(&amp;terms_, &amp;result);</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span>}</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"><a class="line" href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2"> 162</a></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="l00163" name="l00163"></a><span class="lineno"> 163</span> <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="l00164" name="l00164"></a><span class="lineno"> 164</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="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keywordtype">double</span> activity = 0;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; constraint.<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="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">const</span> IntegerValue coeff = constraint.<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="l00169" name="l00169"></a><span class="lineno"> 169</span> activity += coeff.value() * values[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> }</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordflow">return</span> activity;</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span>}</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a89bc8a9319a176bb809f209617fa10ca"> 174</a></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> <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="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordtype">double</span> sum = 0.0;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue coeff : constraint.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) {</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> sum += <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(coeff) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(coeff);</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> }</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordflow">return</span> std::sqrt(sum);</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span>}</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43"> 182</a></span>IntegerValue <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">ComputeInfinityNorm</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="l00183" name="l00183"></a><span class="lineno"> 183</span> IntegerValue result(0);</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue coeff : constraint.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) {</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> result = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(result, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(coeff));</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> }</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span>}</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a58fbc2d7f414974dcb10768e6ffdf68e"> 190</a></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> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint1,</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint2) {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(std::is_sorted(constraint1.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.begin(), constraint1.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.end()));</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(std::is_sorted(constraint2.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.begin(), constraint2.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.end()));</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordtype">double</span> scalar_product = 0.0;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordtype">int</span> index_1 = 0;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordtype">int</span> index_2 = 0;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">while</span> (index_1 &lt; constraint1.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size() &amp;&amp;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> index_2 &lt; constraint2.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size()) {</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordflow">if</span> (constraint1.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_1] == constraint2.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_2]) {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> scalar_product += <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(constraint1.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[index_1]) *</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(constraint2.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[index_2]);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> index_1++;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> index_2++;</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (constraint1.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_1] &gt; constraint2.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_2]) {</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> index_2++;</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> index_1++;</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> }</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordflow">return</span> scalar_product;</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> </div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span><span class="keyword">namespace </span>{</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">// TODO(user): Template for any integer type and expose this?</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span>IntegerValue ComputeGcd(<span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; values) {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordflow">if</span> (values.empty()) <span class="keywordflow">return</span> IntegerValue(1);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> int64_t gcd = 0;</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> : values) {</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> gcd = <a class="code hl_function" href="classoperations__research_1_1_math_util.html#ae94db7b2fa1d8e1b3c1dc6c683191609">MathUtil::GCD64</a>(gcd, std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>.value()));</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keywordflow">if</span> (gcd == 1) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> }</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">if</span> (gcd &lt; 0) <span class="keywordflow">return</span> IntegerValue(1); <span class="comment">// Can happen with kint64min.</span></div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordflow">return</span> IntegerValue(gcd);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span>}</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">// namespace</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a"> 229</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keywordflow">if</span> (constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keyword">const</span> IntegerValue gcd = ComputeGcd(constraint-&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="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordflow">if</span> (gcd == 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keywordflow">if</span> (constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>, gcd);</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> }</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">if</span> (constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, gcd);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> }</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordflow">for</span> (IntegerValue&amp; coeff : constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) coeff /= gcd;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span>}</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150"> 243</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">RemoveZeroTerms</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordflow">if</span> (constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[new_size] = constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[new_size] = constraint-&gt;<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="l00250" name="l00250"></a><span class="lineno"> 250</span> ++new_size;</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> }</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.resize(new_size);</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.resize(new_size);</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span>}</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d"> 256</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">MakeAllCoefficientsPositive</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keyword">const</span> IntegerValue coeff = constraint-&gt;<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="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keywordflow">if</span> (coeff &lt; 0) {</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] = -coeff;</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> }</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span>}</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798"> 267</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">MakeAllVariablesPositive</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] = -constraint-&gt;<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="l00273" name="l00273"></a><span class="lineno"> 273</span> constraint-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> }</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> }</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span>}</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#aa9c149604bc3f558e14c6d233ebc4b19"> 278</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_expression.html#aa9c149604bc3f558e14c6d233ebc4b19">LinearExpression::LpValue</a>(</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</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="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordtype">double</span> result = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>);</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</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_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> result += <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]) * lp_values[<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]];</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> }</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span>}</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> </div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_linear_expression.html#a764be64f3029f8b8e23511061d8de355"> 287</a></span>std::string <a class="code hl_function" href="structoperations__research_1_1sat_1_1_linear_expression.html#a764be64f3029f8b8e23511061d8de355">LinearExpression::DebugString</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> std::string result;</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</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_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</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="l00291" name="l00291"></a><span class="lineno"> 291</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_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]));</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> }</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> != 0) {</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> absl::StrAppend(&amp;result, <span class="stringliteral">&quot; + &quot;</span>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>.value());</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> }</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span>}</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span><span class="comment">// TODO(user): it would be better if LinearConstraint natively supported</span></div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span><span class="comment">// term and not two separated vectors. Fix?</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span><span class="comment">//</span></div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span><span class="comment">// TODO(user): This is really similar to CleanTermsAndFillConstraint(), maybe</span></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span><span class="comment">// we should just make the later switch negative variable to positive ones to</span></div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span><span class="comment">// avoid an extra linear scan on each new cuts.</span></div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2"> 305</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2">CanonicalizeConstraint</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> std::vector&lt;std::pair&lt;IntegerVariable, IntegerValue&gt;&gt; terms;</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars.size();</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars[i])) {</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> terms.push_back({<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars[i], <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs[i]});</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> terms.push_back({<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars[i]), -<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs[i]});</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> }</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> }</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> std::sort(terms.begin(), terms.end());</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars.clear();</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs.clear();</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; term : terms) {</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars.push_back(term.first);</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs.push_back(term.second);</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> }</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span>}</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> </div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7e57f3af8ac7a8b8030adb1019cf2b44"> 326</a></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> <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="l00327" name="l00327"></a><span class="lineno"> 327</span> absl::flat_hash_set&lt;IntegerVariable&gt; seen_variables;</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars.size();</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars[i])) {</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keywordflow">if</span> (!seen_variables.insert(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars[i]).second) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keywordflow">if</span> (!seen_variables.insert(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars[i])).second) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> }</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> }</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span>}</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27"> 339</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#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="l00340" name="l00340"></a><span class="lineno"> 340</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> canonical_expr;</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> canonical_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="keywordflow">if</span> (expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] &lt; 0) {</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> canonical_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]));</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> canonical_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(-expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> canonical_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> canonical_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> }</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> }</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="keywordflow">return</span> canonical_expr;</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span>}</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> </div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0"> 354</a></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="l00355" name="l00355"></a><span class="lineno"> 355</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="l00356" name="l00356"></a><span class="lineno"> 356</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> = expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <a class="code hl_define" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i], 0) &lt;&lt; <span class="stringliteral">&quot;The expression is not canonicalized&quot;</span>;</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> += expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] * integer_trail.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> }</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>;</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span>}</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> </div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91"> 364</a></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="l00365" name="l00365"></a><span class="lineno"> 365</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="l00366" name="l00366"></a><span class="lineno"> 366</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> = expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <a class="code hl_define" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i], 0) &lt;&lt; <span class="stringliteral">&quot;The expression is not canonicalized&quot;</span>;</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> += expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] * integer_trail.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> }</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>;</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span>}</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> </div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span><span class="comment">// TODO(user): Avoid duplication with PossibleIntegerOverflow() in the checker?</span></div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span><span class="comment">// At least make sure the code is the same.</span></div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a0c5d040da1879626549b8877fa275d86"> 376</a></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="l00377" name="l00377"></a><span class="lineno"> 377</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="l00378" name="l00378"></a><span class="lineno"> 378</span> int64_t positive_sum(0);</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> int64_t negative_sum(0);</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; constraint.<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="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="keyword">const</span> IntegerValue coeff = constraint.<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="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="keyword">const</span> IntegerValue lb = integer_trail.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="keyword">const</span> IntegerValue ub = integer_trail.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> int64_t min_prod = <a class="code hl_function" href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">CapProd</a>(coeff.value(), lb.value());</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> int64_t max_prod = <a class="code hl_function" href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">CapProd</a>(coeff.value(), ub.value());</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">if</span> (min_prod &gt; max_prod) <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">std::swap</a>(min_prod, max_prod);</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> </div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> positive_sum = <a class="code hl_function" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(positive_sum, <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(int64_t{0}, max_prod));</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> negative_sum = <a class="code hl_function" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(negative_sum, <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(int64_t{0}, min_prod));</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> </div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keyword">const</span> int64_t limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>();</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <span class="keywordflow">if</span> (positive_sum &gt;= limit) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="keywordflow">if</span> (negative_sum &lt;= -limit) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">CapSub</a>(positive_sum, negative_sum) &gt;= limit) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span>}</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> </div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a732e8b7496fba55a7ac7825d1bd39d94"> 402</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#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="l00403" name="l00403"></a><span class="lineno"> 403</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> result;</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>);</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = -expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span>}</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> </div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b"> 410</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#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="l00411" name="l00411"></a><span class="lineno"> 411</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> result;</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i])) {</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]));</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(-expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> }</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> }</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span>}</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> </div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969"> 425</a></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="l00426" name="l00426"></a><span class="lineno"> 426</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="l00427" name="l00427"></a><span class="lineno"> 427</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keywordflow">if</span> (expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] == <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> <span class="keywordflow">return</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> <span class="keywordflow">return</span> -expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> }</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> }</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> <span class="keywordflow">return</span> IntegerValue(0);</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span>}</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> </div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62"> 437</a></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="l00438" name="l00438"></a><span class="lineno"> 438</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="l00439" name="l00439"></a><span class="lineno"> 439</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordflow">if</span> (expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] == <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> <span class="keywordflow">return</span> expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> }</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> }</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> <span class="keywordflow">return</span> IntegerValue(0);</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span>}</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> </div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span>} <span class="comment">// namespace operations_research</span></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
<div class="ttc" id="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00491">base/logging.h:491</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295"><div class="ttname"><a href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a></div><div class="ttdeci">#define DCHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00885">base/logging.h:885</a></div></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_1_math_util_html_ae94db7b2fa1d8e1b3c1dc6c683191609"><div class="ttname"><a href="classoperations__research_1_1_math_util.html#ae94db7b2fa1d8e1b3c1dc6c683191609">operations_research::MathUtil::GCD64</a></div><div class="ttdeci">static int64_t GCD64(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="mathutil_8h_source.html#l00107">mathutil.h:107</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_a308a6df2722f2c0f36ec8888f4458b41"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">operations_research::sat::IntegerEncoder::GetLiteralView</a></div><div class="ttdeci">const IntegerVariable GetLiteralView(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00454">integer.h:454</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_integer_trail_html_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01349">integer.h:1349</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a9ab880b5e67213a0607c5c3935da9f08"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">operations_research::sat::IntegerTrail::LevelZeroUpperBound</a></div><div class="ttdeci">IntegerValue LevelZeroUpperBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01412">integer.h:1412</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa68cc40c827bff2fb311040e2b848f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">operations_research::sat::IntegerTrail::LevelZeroLowerBound</a></div><div class="ttdeci">IntegerValue LevelZeroLowerBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01407">integer.h:1407</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01345">integer.h:1345</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_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_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00092">sat_base.h:92</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="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00126">gscip_solver.cc:126</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00125">gscip_solver.cc:125</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="amathutil_8h_html"><div class="ttname"><a href="mathutil_8h.html">mathutil.h</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a5de89a1f6e3f80a49a0d76136d8044e2"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">operations_research::math_opt::swap</a></div><div class="ttdeci">void swap(IdMap&lt; K, V &gt; &amp;a, IdMap&lt; K, V &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00263">id_map.h:263</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a07823d046b027c81155f8a2f322cf813"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">operations_research::sat::FloorRatio</a></div><div class="ttdeci">IntegerValue FloorRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00091">integer.h:91</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_a1e30e51173c7e43a8c0b4668d5e3f050"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">operations_research::sat::IntTypeAbs</a></div><div class="ttdeci">IntType IntTypeAbs(IntType t)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00078">integer.h:78</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a29b96869d2a821cf1d2e6099e7a0f51b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">operations_research::sat::CeilRatio</a></div><div class="ttdeci">IntegerValue CeilRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00082">integer.h:82</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_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
<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_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#l00138">integer.h:138</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_1_1sat_html_aed77a1a7675c2f8568529a5a16247ec1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">operations_research::sat::ToDouble</a></div><div class="ttdeci">double ToDouble(IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00070">integer.h:70</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="anamespaceoperations__research_html_a111f44b9b9cf67a8e8d83794ac9f5291"><div class="ttname"><a href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">operations_research::CapAdd</a></div><div class="ttdeci">int64_t CapAdd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00126">saturated_arithmetic.h:126</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_a4a43d435871f16c321861fa5de32df82"><div class="ttname"><a href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">operations_research::CapSub</a></div><div class="ttdeci">int64_t CapSub(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00156">saturated_arithmetic.h:156</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_aa64bf49d041052c7cb3f40f7496d7534"><div class="ttname"><a href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">operations_research::CapProd</a></div><div class="ttdeci">int64_t CapProd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00233">saturated_arithmetic.h:233</a></div></div>
<div class="ttc" id="asat_2linear__constraint_8h_html"><div class="ttname"><a href="sat_2linear__constraint_8h.html">linear_constraint.h</a></div></div>
<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_affine_expression_html_a06a78ca452e0ab05313a836b024352f2"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">operations_research::sat::AffineExpression::constant</a></div><div class="ttdeci">IntegerValue constant</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00272">integer.h:272</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_a155597f12e920a6ff8256360ed91d061"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a155597f12e920a6ff8256360ed91d061">operations_research::sat::AffineExpression::Min</a></div><div class="ttdeci">IntegerValue Min(IntegerTrail *integer_trail) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00038">integer.cc:38</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_a4687879cc255cc87f94d3b79484e60e7"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a4687879cc255cc87f94d3b79484e60e7">operations_research::sat::AffineExpression::IsFixed</a></div><div class="ttdeci">bool IsFixed(IntegerTrail *integer_trail) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00062">integer.cc:62</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_ab6516f556b715738034b30d290c40214"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">operations_research::sat::AffineExpression::var</a></div><div class="ttdeci">IntegerVariable var</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00270">integer.h:270</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_ad7d5fda7881b6c8fdc9d1e7a74ee4a2e"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">operations_research::sat::AffineExpression::coeff</a></div><div class="ttdeci">IntegerValue coeff</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00271">integer.h:271</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_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_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_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_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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