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<div class="title">linear_constraint.cc</div> </div>
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<a href="linear__constraint_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2018 Google LLC</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="mathutil_8h.html">ortools/base/mathutil.h</a>&quot;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">namespace </span>sat {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6"> 22</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">LinearConstraintBuilder::AddTerm</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue coeff) {</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; <span class="comment">// We can either add var or NegationOf(var), and we always choose the</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <span class="comment">// positive one.</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; terms_.push_back({<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, coeff});</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; terms_.push_back({<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>), -coeff});</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; }</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;}</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a283f3aa3c17ea8153287276f5a7d1435"> 32</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">LinearConstraintBuilder::AddTerm</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr,</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; IntegerValue coeff) {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// We can either add var or NegationOf(var), and we always choose the</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="comment">// positive one.</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>)) {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; terms_.push_back({expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, coeff * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>});</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; terms_.push_back({<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>), -coeff * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>});</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; }</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; }</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordflow">if</span> (lb_ &gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= coeff * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">if</span> (ub_ &lt; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= coeff * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;}</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a"> 47</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a322657f18d11f256cf3e03b0bd640d5a">LinearConstraintBuilder::AddConstant</a>(IntegerValue <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>) {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keywordflow">if</span> (lb_ &gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keywordflow">if</span> (ub_ &lt; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;}</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040"> 52</a></span>&#160;ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a094a24aaf66d66b693e7e80a0222f040">LinearConstraintBuilder::AddLiteralTerm</a>(</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit, IntegerValue coeff) {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keywordtype">bool</span> has_direct_view = encoder_.<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit) != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordtype">bool</span> has_opposite_view =</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; encoder_.<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()) != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="comment">// If a literal has both views, we want to always keep the same</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="comment">// representative: the smallest IntegerVariable. Note that AddTerm() will</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="comment">// also make sure to use the associated positive variable.</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">if</span> (has_direct_view &amp;&amp; has_opposite_view) {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keywordflow">if</span> (encoder_.<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit) &lt;=</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; encoder_.<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>())) {</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; has_opposite_view = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; has_direct_view = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; }</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">if</span> (has_direct_view) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(encoder_.<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit), coeff);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordflow">if</span> (has_opposite_view) {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(encoder_.<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()), -coeff);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">if</span> (lb_ &gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) lb_ -= coeff;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keywordflow">if</span> (ub_ &lt; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) ub_ -= coeff;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; }</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;}</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; </div>
<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f"> 82</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; std::vector&lt;std::pair&lt;IntegerVariable, IntegerValue&gt;&gt;* terms,</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.clear();</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.clear();</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="comment">// Sort and add coeff of duplicate variables. Note that a variable and</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="comment">// its negation will appear one after another in the natural order.</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; std::sort(terms-&gt;begin(), terms-&gt;end());</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; IntegerVariable previous_var = <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; IntegerValue current_coeff(0);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;IntegerVariable, IntegerValue&gt; entry : *terms) {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">if</span> (previous_var == entry.first) {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; current_coeff += entry.second;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (previous_var == <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(entry.first)) {</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; current_coeff -= entry.second;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordflow">if</span> (current_coeff != 0) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(previous_var);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(current_coeff);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; }</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; previous_var = entry.first;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; current_coeff = entry.second;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordflow">if</span> (current_coeff != 0) {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(previous_var);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(current_coeff);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; }</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;}</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; </div>
<div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4"> 113</a></span>&#160;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_builder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">LinearConstraintBuilder::Build</a>() {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a> result;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = lb_;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = ub_;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(&amp;terms_, &amp;result);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;}</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; </div>
<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5e0a9685c8421bb095c8e595c84dad3b"> 121</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5e0a9685c8421bb095c8e595c84dad3b">ComputeActivity</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint,</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keyword">const</span> <a class="code" href="classgtl_1_1_i_t_i_vector.html">gtl::ITIVector&lt;IntegerVariable, double&gt;</a>&amp; values) {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordtype">double</span> activity = 0;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; constraint.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; activity += coeff.value() * values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordflow">return</span> activity;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;}</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; </div>
<div class="line"><a name="l00132"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a89bc8a9319a176bb809f209617fa10ca"> 132</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a89bc8a9319a176bb809f209617fa10ca">ComputeL2Norm</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint) {</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <span class="keywordtype">double</span> sum = 0.0;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue coeff : constraint.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) {</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; sum += <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(coeff) * <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(coeff);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; }</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keywordflow">return</span> std::sqrt(sum);</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;}</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43"> 140</a></span>&#160;IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">ComputeInfinityNorm</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint) {</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; IntegerValue result(0);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue coeff : constraint.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) {</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; result = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(result, <a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(coeff));</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;}</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; </div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a58fbc2d7f414974dcb10768e6ffdf68e"> 148</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a58fbc2d7f414974dcb10768e6ffdf68e">ScalarProduct</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint1,</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; constraint2) {</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; DCHECK(std::is_sorted(constraint1.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.begin(), constraint1.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.end()));</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; DCHECK(std::is_sorted(constraint2.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.begin(), constraint2.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.end()));</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordtype">double</span> scalar_product = 0.0;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keywordtype">int</span> index_1 = 0;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keywordtype">int</span> index_2 = 0;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordflow">while</span> (index_1 &lt; constraint1.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size() &amp;&amp;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; index_2 &lt; constraint2.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size()) {</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keywordflow">if</span> (constraint1.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_1] == constraint2.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_2]) {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; scalar_product += <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(constraint1.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[index_1]) *</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(constraint2.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[index_2]);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; index_1++;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; index_2++;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (constraint1.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_1] &gt; constraint2.<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[index_2]) {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; index_2++;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; index_1++;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; }</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordflow">return</span> scalar_product;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;}</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; </div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="comment">// TODO(user): Template for any integer type and expose this?</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;IntegerValue ComputeGcd(<span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; values) {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keywordflow">if</span> (values.empty()) <span class="keywordflow">return</span> IntegerValue(1);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> gcd = 0;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> : values) {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; gcd = <a class="code" href="classoperations__research_1_1_math_util.html#a02deedce87f0c011025ec7716b04e9ea">MathUtil::GCD64</a>(gcd, std::abs(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>.value()));</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keywordflow">if</span> (gcd == 1) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; }</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <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 name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="keywordflow">return</span> IntegerValue(gcd);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;}</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;} <span class="comment">// namespace</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; </div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a"> 187</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="keywordflow">if</span> (constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keyword">const</span> IntegerValue gcd = ComputeGcd(constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="keywordflow">if</span> (gcd == 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="keywordflow">if</span> (constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> &gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>, gcd);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keywordflow">if</span> (constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &lt; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, gcd);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keywordflow">for</span> (IntegerValue&amp; coeff : constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) coeff /= gcd;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;}</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; </div>
<div class="line"><a name="l00201"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150"> 201</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">RemoveZeroTerms</a>(<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keywordflow">if</span> (constraint-&gt;<a class="code" 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 name="l00206"></a><span class="lineno"> 206</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[new_size] = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[new_size] = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; ++new_size;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.resize(new_size);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.resize(new_size);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;}</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; </div>
<div class="line"><a name="l00214"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d"> 214</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">MakeAllCoefficientsPositive</a>(<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keyword">const</span> IntegerValue coeff = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="keywordflow">if</span> (coeff &lt; 0) {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] = -coeff;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; }</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; }</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;}</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; </div>
<div class="line"><a name="l00225"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798"> 225</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">MakeAllVariablesPositive</a>(<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* constraint) {</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] = -constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; constraint-&gt;<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; }</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; }</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;}</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;<span class="comment">// TODO(user): it would be better if LinearConstraint natively supported</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="comment">// term and not two separated vectors. Fix?</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;<span class="comment">// TODO(user): This is really similar to CleanTermsAndFillConstraint(), maybe</span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="comment">// we should just make the later switch negative variable to positive ones to</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="comment">// avoid an extra linear scan on each new cuts.</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2"> 242</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a6b1886825a71bbbe156439e2e1dacbc2">CanonicalizeConstraint</a>(<a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; std::vector&lt;std::pair&lt;IntegerVariable, IntegerValue&gt;&gt; terms;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; </div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars.size();</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars[i])) {</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; terms.push_back({<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars[i], <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs[i]});</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; terms.push_back({<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars[i]), -<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs[i]});</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; }</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; }</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; std::sort(terms.begin(), terms.end());</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; </div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars.clear();</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs.clear();</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; term : terms) {</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;vars.push_back(term.first);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;coeffs.push_back(term.second);</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; }</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;}</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; </div>
<div class="line"><a name="l00263"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7e57f3af8ac7a8b8030adb1019cf2b44"> 263</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a7e57f3af8ac7a8b8030adb1019cf2b44">NoDuplicateVariable</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; absl::flat_hash_set&lt;IntegerVariable&gt; seen_variables;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars.size();</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars[i])) {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="keywordflow">if</span> (!seen_variables.insert(<a class="code" 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 name="l00269"></a><span class="lineno"> 269</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="keywordflow">if</span> (!seen_variables.insert(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" 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 name="l00271"></a><span class="lineno"> 271</span>&#160; }</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;}</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; </div>
<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27"> 276</a></span>&#160;<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a5ec390fe1c25c7af4de7a30f84a0cd27">CanonicalizeExpr</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr) {</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> canonical_expr;</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; canonical_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] &lt; 0) {</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; canonical_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]));</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; canonical_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(-expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; canonical_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; canonical_expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; }</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; }</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <span class="keywordflow">return</span> canonical_expr;</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;}</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; </div>
<div class="line"><a name="l00291"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0"> 291</a></span>&#160;IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr,</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&amp; integer_trail) {</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; IntegerValue lower_bound = expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; DCHECK_GE(expr.<a class="code" 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 name="l00296"></a><span class="lineno"> 296</span>&#160; lower_bound += expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] * integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; }</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <span class="keywordflow">return</span> lower_bound;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;}</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; </div>
<div class="line"><a name="l00301"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91"> 301</a></span>&#160;IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr,</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&amp; integer_trail) {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; IntegerValue upper_bound = expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; DCHECK_GE(expr.<a class="code" 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 name="l00306"></a><span class="lineno"> 306</span>&#160; upper_bound += expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] * integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; }</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="keywordflow">return</span> upper_bound;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;}</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; </div>
<div class="line"><a name="l00311"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a732e8b7496fba55a7ac7825d1bd39d94"> 311</a></span>&#160;<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr) {</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> result;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>);</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a> = expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = -expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;}</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; </div>
<div class="line"><a name="l00319"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b"> 319</a></span>&#160;<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a4ff205ed5a074bbe499b1fa20da1dd9b">PositiveVarExpr</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr) {</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a> result;</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i])) {</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i]));</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; result.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(-expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; }</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; }</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;}</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; </div>
<div class="line"><a name="l00334"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969"> 334</a></span>&#160;IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a8b7508824efeabdd4dfd00ab39bfb969">GetCoefficient</a>(<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr) {</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] == <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] == <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <span class="keywordflow">return</span> -expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; }</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; }</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; <span class="keywordflow">return</span> IntegerValue(0);</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;}</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; </div>
<div class="line"><a name="l00346"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62"> 346</a></span>&#160;IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr) {</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; CHECK(<a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] == <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; }</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; }</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; <span class="keywordflow">return</span> IntegerValue(0);</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;}</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; </div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160;} <span class="comment">// namespace sat</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;} <span class="comment">// namespace operations_research</span></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01858">expr_array.cc:1858</a></div></div>
<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#l00227">integer.h:227</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#l00203">integer.h:203</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#l00523">integer.h:523</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_acbbef9110caafe014de5510ddd26b45f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">operations_research::sat::CleanTermsAndFillConstraint</a></div><div class="ttdeci">void CleanTermsAndFillConstraint(std::vector&lt; std::pair&lt; IntegerVariable, IntegerValue &gt;&gt; *terms, LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00082">linear_constraint.cc:82</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="linear__constraint_8cc_source.html#l00148">linear_constraint.cc:148</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#l00090">integer.h:90</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#l00130">integer.h:130</a></div></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a9d0c202d5fdd62f4fa2c613339ff168a"><div class="ttname"><a href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a></div><div class="ttdeci">int64 max</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="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="linear__constraint_8h_source.html#l00042">linear_constraint.h:42</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="linear__constraint_8cc_source.html#l00113">linear_constraint.cc:113</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#l00081">integer.h:81</a></div></div>
<div class="ttc" id="alinear__constraint_8h_html"><div class="ttname"><a href="linear__constraint_8h.html">linear_constraint.h</a></div></div>
<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html">gtl::ITIVector&lt; IntegerVariable, double &gt;</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#l00411">integer.h:411</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="linear__constraint_8cc_source.html#l00263">linear_constraint.cc:263</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#l00226">integer.h:226</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
<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="linear__constraint_8cc_source.html#l00301">linear_constraint.cc:301</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">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_math_util_html_a02deedce87f0c011025ec7716b04e9ea"><div class="ttname"><a href="classoperations__research_1_1_math_util.html#a02deedce87f0c011025ec7716b04e9ea">operations_research::MathUtil::GCD64</a></div><div class="ttdeci">static int64 GCD64(int64 x, int64 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="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#l00042">integer.cc:42</a></div></div>
<div class="ttc" id="aintegral__types_8h_html_a7cde0074dfd288f2d70c0e035dacb28a"><div class="ttname"><a href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a></div><div class="ttdeci">int64_t int64</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00034">integral_types.h:34</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#l00091">sat_base.h:91</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="linear__constraint_8cc_source.html#l00022">linear_constraint.cc:22</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="linear__constraint_8cc_source.html#l00334">linear_constraint.cc:334</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="linear__constraint_8h_source.html#l00039">linear_constraint.h:39</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#l00077">integer.h:77</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#l01232">integer.h:1232</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="linear__constraint_8h_source.html#l00175">linear_constraint.h:175</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="linear__constraint_8cc_source.html#l00052">linear_constraint.cc:52</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_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="linear__constraint_8cc_source.html#l00276">linear_constraint.cc:276</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="astructoperations__research_1_1sat_1_1_linear_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html">operations_research::sat::LinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00172">linear_constraint.h:172</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="linear__constraint_8h_source.html#l00040">linear_constraint.h:40</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#l00042">demon_profiler.cc:42</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="linear__constraint_8cc_source.html#l00319">linear_constraint.cc:319</a></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="linear__constraint_8cc_source.html#l00291">linear_constraint.cc:291</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5d3aa6734674f8f81aac3895cde58d6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">operations_research::sat::MakeAllCoefficientsPositive</a></div><div class="ttdeci">void MakeAllCoefficientsPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00214">linear_constraint.cc:214</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="linear__constraint_8cc_source.html#l00346">linear_constraint.cc:346</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="linear__constraint_8cc_source.html#l00132">linear_constraint.cc:132</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#l00064">sat_base.h:64</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="linear__constraint_8cc_source.html#l00201">linear_constraint.cc:201</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#l00069">integer.h:69</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_aa2ba15be9aeabce0142c726fbf880798"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">operations_research::sat::MakeAllVariablesPositive</a></div><div class="ttdeci">void MakeAllVariablesPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00225">linear_constraint.cc:225</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5e0a9685c8421bb095c8e595c84dad3b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5e0a9685c8421bb095c8e595c84dad3b">operations_research::sat::ComputeActivity</a></div><div class="ttdeci">double ComputeActivity(const LinearConstraint &amp;constraint, const gtl::ITIVector&lt; IntegerVariable, double &gt; &amp;values)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00121">linear_constraint.cc:121</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="linear__constraint_8h_source.html#l00174">linear_constraint.h:174</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="linear__constraint_8h_source.html#l00173">linear_constraint.h:173</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#l00225">integer.h:225</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#l01228">integer.h:1228</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="linear__constraint_8cc_source.html#l00140">linear_constraint.cc:140</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="linear__constraint_8h_source.html#l00043">linear_constraint.h:43</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="linear__constraint_8cc_source.html#l00187">linear_constraint.cc:187</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="linear__constraint_8h_source.html#l00041">linear_constraint.h:41</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="linear__constraint_8cc_source.html#l00047">linear_constraint.cc:47</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="linear__constraint_8cc_source.html#l00242">linear_constraint.cc:242</a></div></div>
<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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