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<a href="cuts_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> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="cuts_8h.html">ortools/sat/cuts.h</a>"</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include <functional></span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include <memory></span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include <utility></span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="knapsack__solver__for__cuts_8h.html">ortools/algorithms/knapsack_solver_for_cuts.h</a>"</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>"</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>"</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>"</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="intervals_8h.html">ortools/sat/intervals.h</a>"</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>"</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>"</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="time__limit_8h.html">ortools/util/time_limit.h</a>"</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">namespace </span>sat {</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">namespace </span>{</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// Minimum amount of violation of the cut constraint by the solution. This</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// is needed to avoid numerical issues and adding cuts with minor effect.</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">const</span> <span class="keywordtype">double</span> kMinCutViolation = 1e-4;</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// Returns a constraint that disallow all given variables to be at their current</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// upper bound. The arguments must form a non-trival constraint of the form</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// sum terms (coeff * var) <= upper_bound.</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> LinearConstraint GenerateKnapsackCutForCover(</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& vars,</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">const</span> std::vector<IntegerValue>& coeffs, <span class="keyword">const</span> IntegerValue upper_bound,</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">const</span> IntegerTrail& integer_trail) {</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  CHECK_EQ(vars.size(), coeffs.size());</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  CHECK_GT(vars.size(), 0);</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  LinearConstraint cut;</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  IntegerValue cut_upper_bound = IntegerValue(0);</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  IntegerValue max_coeff = coeffs[0];</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// slack = \sum_{i}(coeffs[i] * upper_bound[i]) - upper_bound.</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  IntegerValue slack = -upper_bound;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < vars.size(); ++i) {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">const</span> IntegerValue var_upper_bound =</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  integer_trail.LevelZeroUpperBound(vars[i]);</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  cut_upper_bound += var_upper_bound;</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  cut.vars.push_back(vars[i]);</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  cut.coeffs.push_back(IntegerValue(1));</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  max_coeff = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(max_coeff, coeffs[i]);</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  slack += coeffs[i] * var_upper_bound;</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  CHECK_GT(slack, 0.0) << <span class="stringliteral">"Invalid cover for knapsack cut."</span>;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  cut_upper_bound -= <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(slack, max_coeff);</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  cut.lb = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  cut.ub = cut_upper_bound;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  VLOG(2) << <span class="stringliteral">"Generated Knapsack Constraint:"</span> << cut.DebugString();</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">return</span> cut;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> }</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">bool</span> SolutionSatisfiesConstraint(</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">const</span> LinearConstraint& constraint,</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values) {</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> activity = <a class="code" href="namespaceoperations__research_1_1sat.html#a5e0a9685c8421bb095c8e595c84dad3b">ComputeActivity</a>(constraint, lp_values);</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tolerance = 1e-6;</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">return</span> (activity <= constraint.ub.value() + tolerance &&</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  activity >= constraint.lb.value() - tolerance)</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  ? true</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  : <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> }</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">bool</span> SmallRangeAndAllCoefficientsMagnitudeAreTheSame(</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">const</span> LinearConstraint& constraint, IntegerTrail* integer_trail) {</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span> (constraint.vars.empty()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> magnitude = std::abs(constraint.coeffs[0].value());</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < constraint.coeffs.size(); ++i) {</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint.vars[i];</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span> (integer_trail->LevelZeroUpperBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) -</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  integer_trail->LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) ></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  1) {</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">if</span> (std::abs(constraint.coeffs[i].value()) != magnitude) {</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  }</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> }</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keywordtype">bool</span> AllVarsTakeIntegerValue(</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">const</span> std::vector<IntegerVariable> vars,</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values) {</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">for</span> (IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">if</span> (std::abs(lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] - std::round(lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>])) > 1e-6) {</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> }</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// Returns smallest cover size for the given constraint taking into account</span></div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// level zero bounds. Smallest Cover size is computed as follows.</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// 1. Compute the upper bound if all variables are shifted to have zero lower</span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// bound.</span></div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// 2. Sort all terms (coefficient * shifted upper bound) in non decreasing</span></div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// order.</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// 3. Add terms in cover until term sum is smaller or equal to upper bound.</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// 4. Add the last item which violates the upper bound. This forms the smallest</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// cover. Return the size of this cover.</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keywordtype">int</span> GetSmallestCoverSize(<span class="keyword">const</span> LinearConstraint& constraint,</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">const</span> IntegerTrail& integer_trail) {</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  IntegerValue ub = constraint.ub;</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  std::vector<IntegerValue> sorted_terms;</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.vars.size(); ++i) {</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.coeffs[i];</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint.vars[i];</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">const</span> IntegerValue var_ub = integer_trail.LevelZeroUpperBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> IntegerValue var_lb = integer_trail.LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  ub -= var_lb * coeff;</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  sorted_terms.push_back(coeff * (var_ub - var_lb));</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  std::sort(sorted_terms.begin(), sorted_terms.end(),</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  std::greater<IntegerValue>());</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordtype">int</span> smallest_cover_size = 0;</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  IntegerValue sorted_term_sum = IntegerValue(0);</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">while</span> (sorted_term_sum <= ub &&</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  smallest_cover_size < constraint.vars.size()) {</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  sorted_term_sum += sorted_terms[smallest_cover_size++];</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">return</span> smallest_cover_size;</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="keywordtype">bool</span> ConstraintIsEligibleForLifting(<span class="keyword">const</span> LinearConstraint& constraint,</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keyword">const</span> IntegerTrail& integer_trail) {</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : constraint.vars) {</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">if</span> (integer_trail.LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) != IntegerValue(0) ||</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  integer_trail.LevelZeroUpperBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) != IntegerValue(1)) {</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> }</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> } <span class="comment">// namespace</span></div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
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<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a56f2839b344852506cb601bbf898c9b5"> 157</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a56f2839b344852506cb601bbf898c9b5">LiftKnapsackCut</a>(</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint,</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">const</span> std::vector<IntegerValue>& cut_vars_original_coefficients,</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail, <a class="code" href="classoperations__research_1_1TimeLimit.html">TimeLimit</a>* <a class="code" href="cp__model__solver_8cc.html#ac3cf9db02b23ea1455b5ae6955d03e47">time_limit</a>,</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>* cut) {</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  std::set<IntegerVariable> vars_in_cut;</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordflow">for</span> (IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>) {</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  vars_in_cut.insert(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  std::vector<std::pair<IntegerValue, IntegerVariable>> non_zero_vars;</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  std::vector<std::pair<IntegerValue, IntegerVariable>> zero_vars;</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <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_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">if</span> (integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) != IntegerValue(0) ||</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) != IntegerValue(1)) {</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  }</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">if</span> (vars_in_cut.find(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) != vars_in_cut.end()) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordflow">if</span> (lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] <= 1e-6) {</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  zero_vars.push_back({coeff, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>});</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  non_zero_vars.push_back({coeff, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>});</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="comment">// Decide lifting sequence (nonzeros, zeros in nonincreasing order</span></div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="comment">// of coefficient ).</span></div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  std::sort(non_zero_vars.rbegin(), non_zero_vars.rend());</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  std::sort(zero_vars.rbegin(), zero_vars.rend());</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  std::vector<std::pair<IntegerValue, IntegerVariable>> lifting_sequence(</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  std::move(non_zero_vars));</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  lifting_sequence.insert(lifting_sequence.end(), zero_vars.begin(),</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  zero_vars.end());</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="comment">// Form Knapsack.</span></div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  std::vector<double> lifting_profits;</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  std::vector<double> lifting_weights;</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  lifting_profits.push_back(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i].value());</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  lifting_weights.push_back(cut_vars_original_coefficients[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>());</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  </div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// Lift the cut.</span></div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordtype">bool</span> is_lifted = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordtype">bool</span> is_solution_optimal = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html">KnapsackSolverForCuts</a> knapsack_solver(<span class="stringliteral">"Knapsack cut lifter"</span>);</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> entry : lifting_sequence) {</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  is_solution_optimal = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">const</span> IntegerValue var_original_coeff = entry.first;</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = entry.second;</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">const</span> IntegerValue lifting_capacity = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> - entry.first;</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">if</span> (lifting_capacity <= IntegerValue(0)) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#a902b91803b24fe467929767c65b6ee4f">Init</a>(lifting_profits, lifting_weights,</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  lifting_capacity.value());</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#a496668ced432925ff3a7ec06e0d439eb">set_node_limit</a>(100);</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="comment">// NOTE: Since all profits and weights are integer, solution of</span></div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="comment">// knapsack is also integer.</span></div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="comment">// TODO(user): Use an integer solver or heuristic.</span></div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#aab4a9c689632460b6b96f3d4bf22f86e">Solve</a>(<a class="code" href="cp__model__solver_8cc.html#ac3cf9db02b23ea1455b5ae6955d03e47">time_limit</a>, &is_solution_optimal);</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> knapsack_upper_bound =</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  std::round(knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#afa66a5ae5f09a131d7fdb338b8a212ba">GetUpperBound</a>());</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">const</span> IntegerValue cut_coeff = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> - knapsack_upper_bound;</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">if</span> (cut_coeff > IntegerValue(0)) {</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  is_lifted = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(cut_coeff);</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  lifting_profits.push_back(cut_coeff.value());</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  lifting_weights.push_back(var_original_coeff.value());</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  }</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">return</span> is_lifted;</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> }</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
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<div class="line"><a name="l00235"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa07b0782b25220bea452557728abe747"> 235</a></span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> <a class="code" href="namespaceoperations__research_1_1sat.html#aa07b0782b25220bea452557728abe747">GetPreprocessedLinearConstraint</a>(</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint,</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail) {</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  IntegerValue ub = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> constraint_with_left_vars;</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <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_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">const</span> IntegerValue var_ub = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keywordflow">if</span> (var_ub.value() - lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] <= 1.0 - kMinCutViolation) {</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  constraint_with_left_vars.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  constraint_with_left_vars.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(coeff);</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="comment">// Variable not in cut</span></div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">const</span> IntegerValue var_lb = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  ub -= coeff * var_lb;</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  }</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  }</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  constraint_with_left_vars.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = ub;</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  constraint_with_left_vars.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>;</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">return</span> constraint_with_left_vars;</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> }</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  </div>
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<div class="line"><a name="l00259"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac8b530afe36cf1521c919ca43429926d"> 259</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ac8b530afe36cf1521c919ca43429926d">ConstraintIsTriviallyTrue</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint,</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail) {</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  IntegerValue term_sum = IntegerValue(0);</div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <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_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">const</span> IntegerValue var_ub = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  term_sum += coeff * var_ub;</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  }</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> (term_sum <= constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>) {</div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  VLOG(2) << <span class="stringliteral">"Filtered by cover filter"</span>;</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  }</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> }</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  </div>
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<div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5bdfb90b712b6e31c1078323edb2e0d5"> 275</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5bdfb90b712b6e31c1078323edb2e0d5">CanBeFilteredUsingCutLowerBound</a>(</div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& preprocessed_constraint,</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail) {</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  std::vector<double> variable_upper_bound_distances;</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>) {</div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">const</span> IntegerValue var_ub = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  variable_upper_bound_distances.push_back(var_ub.value() - lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]);</div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  }</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// Compute the min cover size.</span></div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> smallest_cover_size =</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  GetSmallestCoverSize(preprocessed_constraint, integer_trail);</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  </div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  std::nth_element(</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  variable_upper_bound_distances.begin(),</div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  variable_upper_bound_distances.begin() + smallest_cover_size - 1,</div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  variable_upper_bound_distances.end());</div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="keywordtype">double</span> cut_lower_bound = 0.0;</div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < smallest_cover_size; ++i) {</div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  cut_lower_bound += variable_upper_bound_distances[i];</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keywordflow">if</span> (cut_lower_bound >= 1.0 - kMinCutViolation) {</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  VLOG(2) << <span class="stringliteral">"Filtered by kappa heuristic"</span>;</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  }</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> }</div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  </div>
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<div class="line"><a name="l00303"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a457076abfb3071fca80b8175363e3dfa"> 303</a></span> <span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a457076abfb3071fca80b8175363e3dfa">GetKnapsackUpperBound</a>(std::vector<KnapsackItem> items,</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>) {</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="comment">// Sort items by value by weight ratio.</span></div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  std::sort(items.begin(), items.end(), std::greater<KnapsackItem>());</div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordtype">double</span> left_capacity = <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>;</div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordtype">double</span> profit = 0.0;</div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1KnapsackItem.html">KnapsackItem</a> item : items) {</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordflow">if</span> (item.weight <= left_capacity) {</div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  profit += item.profit;</div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  left_capacity -= item.weight;</div>
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<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  profit += (left_capacity / item.weight) * item.profit;</div>
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<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  }</div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keywordflow">return</span> profit;</div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> }</div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  </div>
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<div class="line"><a name="l00321"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a89c3facce82a049661167dd92f7f21f7"> 321</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a89c3facce82a049661167dd92f7f21f7">CanBeFilteredUsingKnapsackUpperBound</a>(</div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint,</div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail) {</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  std::vector<KnapsackItem> items;</div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keywordtype">double</span> <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a> = -constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value() - 1.0;</div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordtype">double</span> sum_variable_profit = 0;</div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <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_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keyword">const</span> IntegerValue var_ub = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keyword">const</span> IntegerValue var_lb = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="structoperations__research_1_1sat_1_1KnapsackItem.html">KnapsackItem</a> item;</div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  item.<a class="code" href="structoperations__research_1_1sat_1_1KnapsackItem.html#a3ff84545f00a56ba7584b2a7f2cef69c">profit</a> = var_ub.value() - lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  item.<a class="code" href="structoperations__research_1_1sat_1_1KnapsackItem.html#a99108733d00274978a4979dc072bd513">weight</a> = (coeff * (var_ub - var_lb)).value();</div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  items.push_back(item);</div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a> += (coeff * var_ub).<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>();</div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  sum_variable_profit += item.<a class="code" href="structoperations__research_1_1sat_1_1KnapsackItem.html#a3ff84545f00a56ba7584b2a7f2cef69c">profit</a>;</div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  }</div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  </div>
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<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="comment">// Return early if the required upper bound is negative since all the profits</span></div>
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<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="comment">// are non negative.</span></div>
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<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keywordflow">if</span> (sum_variable_profit - 1.0 + kMinCutViolation < 0.0) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  </div>
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<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="comment">// Get the knapsack upper bound.</span></div>
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<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> knapsack_upper_bound =</div>
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<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a457076abfb3071fca80b8175363e3dfa">GetKnapsackUpperBound</a>(std::move(items), <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>);</div>
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<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keywordflow">if</span> (knapsack_upper_bound < sum_variable_profit - 1.0 + kMinCutViolation) {</div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  VLOG(2) << <span class="stringliteral">"Filtered by knapsack upper bound"</span>;</div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  }</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> }</div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  </div>
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<div class="line"><a name="l00355"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1f091a18daeedeeaff4aa22591757a0f"> 355</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a1f091a18daeedeeaff4aa22591757a0f">CanFormValidKnapsackCover</a>(</div>
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<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& preprocessed_constraint,</div>
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<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail) {</div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#ac8b530afe36cf1521c919ca43429926d">ConstraintIsTriviallyTrue</a>(preprocessed_constraint, integer_trail)) {</div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  }</div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a5bdfb90b712b6e31c1078323edb2e0d5">CanBeFilteredUsingCutLowerBound</a>(preprocessed_constraint, lp_values,</div>
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<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  integer_trail)) {</div>
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<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  }</div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a89c3facce82a049661167dd92f7f21f7">CanBeFilteredUsingKnapsackUpperBound</a>(preprocessed_constraint, lp_values,</div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  integer_trail)) {</div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  }</div>
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<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> }</div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  </div>
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<div class="line"><a name="l00373"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a06e2118f6735d033f7f43a939abe558d"> 373</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a06e2118f6735d033f7f43a939abe558d">ConvertToKnapsackForm</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint,</div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  std::vector<LinearConstraint>* knapsack_constraints,</div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail) {</div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="comment">// If all coefficient are the same, the generated knapsack cuts cannot be</span></div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="comment">// stronger than the constraint itself. However, when we substitute variables</span></div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="comment">// using the implication graph, this is not longer true. So we only skip</span></div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="comment">// constraints with same coeff and no substitutions.</span></div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="keywordflow">if</span> (SmallRangeAndAllCoefficientsMagnitudeAreTheSame(constraint,</div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  integer_trail)) {</div>
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<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  }</div>
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<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">if</span> (constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> < <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
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<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> canonical_knapsack_form;</div>
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<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  </div>
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<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="comment">// Negate the variables with negative coefficients.</span></div>
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<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <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_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="keywordflow">if</span> (coeff > IntegerValue(0)) {</div>
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<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, coeff);</div>
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<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<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>
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<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  }</div>
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<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  }</div>
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<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
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<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  knapsack_constraints->push_back(canonical_knapsack_form);</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  }</div>
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<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  </div>
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<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordflow">if</span> (constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> > <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
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<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> canonical_knapsack_form;</div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  </div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="comment">// Negate the variables with positive coefficients.</span></div>
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<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <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_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keyword">const</span> IntegerValue coeff = constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keywordflow">if</span> (coeff > IntegerValue(0)) {</div>
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<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<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>
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<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, -coeff);</div>
|
|
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  }</div>
|
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<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  }</div>
|
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<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = -constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>;</div>
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<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  canonical_knapsack_form.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
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<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  knapsack_constraints->push_back(canonical_knapsack_form);</div>
|
|
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  }</div>
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<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> }</div>
|
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<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  </div>
|
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<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment">// TODO(user): Move the cut generator into a class and reuse variables.</span></div>
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<div class="line"><a name="l00422"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac158f737c8653b1fc1bd294ea2d3412d"> 422</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#ac158f737c8653b1fc1bd294ea2d3412d">CreateKnapsackCoverCutGenerator</a>(</div>
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<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keyword">const</span> std::vector<LinearConstraint>& base_constraints,</div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& vars, <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
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<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = vars;</div>
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<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  </div>
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<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  std::vector<LinearConstraint> knapsack_constraints;</div>
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|
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint : base_constraints) {</div>
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|
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="comment">// There is often a lot of small linear base constraints and it doesn't seem</span></div>
|
|
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="comment">// super useful to generate cuts for constraints of size 2. Any valid cut</span></div>
|
|
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="comment">// of size 1 should be already infered by the propagation.</span></div>
|
|
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="comment">// TODO(user): The case of size 2 is a bit less clear. investigate more if</span></div>
|
|
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="comment">// it is useful.</span></div>
|
|
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordflow">if</span> (constraint.vars.size() <= 2) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  </div>
|
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<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a06e2118f6735d033f7f43a939abe558d">ConvertToKnapsackForm</a>(constraint, &knapsack_constraints, integer_trail);</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  }</div>
|
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<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  VLOG(1) << <span class="stringliteral">"#knapsack constraints: "</span> << knapsack_constraints.size();</div>
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<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  </div>
|
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<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="comment">// Note(user): for Knapsack cuts, it seems always advantageous to replace a</span></div>
|
|
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="comment">// variable X by a TIGHT lower bound of the form "coeff * binary + lb". This</span></div>
|
|
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="comment">// will not change "covers" but can only result in more violation by the</span></div>
|
|
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="comment">// current LP solution.</span></div>
|
|
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html">ImpliedBoundsProcessor</a> implied_bounds_processor(</div>
|
|
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  vars, integer_trail, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1ImpliedBounds.html">ImpliedBounds</a>>());</div>
|
|
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  </div>
|
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<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="comment">// TODO(user): do not add generator if there are no knapsack constraints.</span></div>
|
|
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> = [implied_bounds_processor, knapsack_constraints, vars,</div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, integer_trail](</div>
|
|
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>&</div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  lp_values,</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
|
|
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="comment">// TODO(user): When we use implied-bound substitution, we might still infer</span></div>
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|
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="comment">// an interesting cut even if all variables are integer. See if we still</span></div>
|
|
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="comment">// want to skip all such constraints.</span></div>
|
|
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="keywordflow">if</span> (AllVarsTakeIntegerValue(vars, lp_values)) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  </div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html">KnapsackSolverForCuts</a> knapsack_solver(</div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="stringliteral">"Knapsack on demand cover cut generator"</span>);</div>
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|
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> skipped_constraints = 0;</div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> mutable_constraint;</div>
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<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  </div>
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<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="comment">// Iterate through all knapsack constraints.</span></div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  implied_bounds_processor.<a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a011f5f336c989d356c5f06a5793473c1">ClearCache</a>();</div>
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<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& constraint : knapsack_constraints) {</div>
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<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1TimeLimit.html">TimeLimit</a>>()-><a class="code" href="classoperations__research_1_1TimeLimit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">LimitReached</a>()) <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  VLOG(2) << <span class="stringliteral">"Processing constraint: "</span> << constraint.DebugString();</div>
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<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  </div>
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<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  mutable_constraint = constraint;</div>
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<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  implied_bounds_processor.<a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a19e26dd5481c4a596ad8e6458d13a25c">ProcessUpperBoundedConstraint</a>(</div>
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<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  lp_values, &mutable_constraint);</div>
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<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">MakeAllCoefficientsPositive</a>(&mutable_constraint);</div>
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<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  </div>
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<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> preprocessed_constraint =</div>
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<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#aa07b0782b25220bea452557728abe747">GetPreprocessedLinearConstraint</a>(mutable_constraint, lp_values,</div>
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<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  *integer_trail);</div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordflow">if</span> (preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.empty()) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  </div>
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<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a1f091a18daeedeeaff4aa22591757a0f">CanFormValidKnapsackCover</a>(preprocessed_constraint, lp_values,</div>
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<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  *integer_trail)) {</div>
|
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<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  skipped_constraints++;</div>
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<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  }</div>
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<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  </div>
|
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<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="comment">// Profits are (upper_bounds[i] - lp_values[i]) for knapsack variables.</span></div>
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|
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  std::vector<double> profits;</div>
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<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  profits.reserve(preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size());</div>
|
|
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  </div>
|
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<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="comment">// Weights are (coeffs[i] * (upper_bound[i] - lower_bound[i])).</span></div>
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<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  std::vector<double> weights;</div>
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<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  weights.reserve(preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size());</div>
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<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  </div>
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<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keywordtype">double</span> <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a> = -preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value() - 1.0;</div>
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<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  </div>
|
|
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="comment">// Compute and store the sum of variable profits. This is the constant</span></div>
|
|
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="comment">// part of the objective of the problem we are trying to solve. Hence</span></div>
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|
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="comment">// this part is not supplied to the knapsack_solver and is subtracted</span></div>
|
|
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="comment">// when we receive the knapsack solution.</span></div>
|
|
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keywordtype">double</span> sum_variable_profit = 0;</div>
|
|
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  </div>
|
|
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="comment">// Compute the profits, the weights and the capacity for the knapsack</span></div>
|
|
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="comment">// instance.</span></div>
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<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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|
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a> = preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i].value();</div>
|
|
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> var_ub = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
|
|
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> var_lb = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
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|
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> variable_profit = var_ub - lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
|
|
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  profits.push_back(variable_profit);</div>
|
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<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  </div>
|
|
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  sum_variable_profit += variable_profit;</div>
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<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  </div>
|
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<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="pack_8cc.html#ae42ca38a167164c07831993889216903">weight</a> = <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a> * (var_ub - var_lb);</div>
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|
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  weights.push_back(<a class="code" href="pack_8cc.html#ae42ca38a167164c07831993889216903">weight</a>);</div>
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|
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a> += <a class="code" href="pack_8cc.html#ae42ca38a167164c07831993889216903">weight</a> + <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a> * var_lb;</div>
|
|
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  }</div>
|
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<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a> < 0.0) <span class="keywordflow">continue</span>;</div>
|
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<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  </div>
|
|
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  std::vector<IntegerVariable> cut_vars;</div>
|
|
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  std::vector<IntegerValue> cut_vars_original_coefficients;</div>
|
|
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  </div>
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<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  VLOG(2) << <span class="stringliteral">"Knapsack size: "</span> << profits.size();</div>
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<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#a902b91803b24fe467929767c65b6ee4f">Init</a>(profits, weights, <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>);</div>
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<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  </div>
|
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<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="comment">// Set the time limit for the knapsack solver.</span></div>
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|
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> time_limit_for_knapsack_solver =</div>
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<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1TimeLimit.html">TimeLimit</a>>()->GetTimeLeft();</div>
|
|
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  </div>
|
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<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <span class="comment">// Solve the instance and subtract the constant part to compute the</span></div>
|
|
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="comment">// sum_of_distance_to_ub_for_vars_in_cover.</span></div>
|
|
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="comment">// TODO(user): Consider solving the instance approximately.</span></div>
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|
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keywordtype">bool</span> is_solution_optimal = <span class="keyword">false</span>;</div>
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|
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#afd53920302b4dcd6ef445bc52a001a5b">set_solution_upper_bound_threshold</a>(</div>
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<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  sum_variable_profit - 1.0 + kMinCutViolation);</div>
|
|
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="comment">// TODO(user): Consider providing lower bound threshold as</span></div>
|
|
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <span class="comment">// sum_variable_profit - 1.0 + kMinCutViolation.</span></div>
|
|
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="comment">// TODO(user): Set node limit for knapsack solver.</span></div>
|
|
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keyword">auto</span> time_limit_for_solver =</div>
|
|
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  absl::make_unique<TimeLimit>(time_limit_for_knapsack_solver);</div>
|
|
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> sum_of_distance_to_ub_for_vars_in_cover =</div>
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|
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  sum_variable_profit -</div>
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<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#aab4a9c689632460b6b96f3d4bf22f86e">Solve</a>(time_limit_for_solver.get(),</div>
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<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  &is_solution_optimal);</div>
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<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keywordflow">if</span> (is_solution_optimal) {</div>
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<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  VLOG(2) << <span class="stringliteral">"Knapsack Optimal solution found yay !"</span>;</div>
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<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  }</div>
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<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="keywordflow">if</span> (time_limit_for_solver->LimitReached()) {</div>
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<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  VLOG(1) << <span class="stringliteral">"Knapsack Solver run out of time limit."</span>;</div>
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<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  }</div>
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<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="keywordflow">if</span> (sum_of_distance_to_ub_for_vars_in_cover < 1.0 - kMinCutViolation) {</div>
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<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <span class="comment">// Constraint is eligible for the cover.</span></div>
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<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  </div>
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<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  IntegerValue constraint_ub_for_cut = preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
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<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  std::set<IntegerVariable> vars_in_cut;</div>
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<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
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<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
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<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a> = preprocessed_constraint.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
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<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keywordflow">if</span> (!knapsack_solver.<a class="code" href="classoperations__research_1_1KnapsackSolverForCuts.html#a3bd66bb6693c84e8b758c0d8a18ed9e5">best_solution</a>(i)) {</div>
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<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  cut_vars.push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  cut_vars_original_coefficients.push_back(<a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>);</div>
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<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  vars_in_cut.insert(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keyword">const</span> IntegerValue var_lb = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  constraint_ub_for_cut -= <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a> * var_lb;</div>
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<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  }</div>
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<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  }</div>
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<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> cut = GenerateKnapsackCutForCover(</div>
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<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  cut_vars, cut_vars_original_coefficients, constraint_ub_for_cut,</div>
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<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  *integer_trail);</div>
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<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  </div>
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<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <span class="comment">// Check if the constraint has only binary variables.</span></div>
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<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="keywordtype">bool</span> is_lifted = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordflow">if</span> (ConstraintIsEligibleForLifting(cut, *integer_trail)) {</div>
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<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a56f2839b344852506cb601bbf898c9b5">LiftKnapsackCut</a>(mutable_constraint, lp_values,</div>
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<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  cut_vars_original_coefficients, *integer_trail,</div>
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<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1TimeLimit.html">TimeLimit</a>>(), &cut)) {</div>
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<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  is_lifted = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  }</div>
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<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  }</div>
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<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  </div>
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|
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  CHECK(!SolutionSatisfiesConstraint(cut, lp_values));</div>
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<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  manager->AddCut(cut, is_lifted ? <span class="stringliteral">"LiftedKnapsack"</span> : <span class="stringliteral">"Knapsack"</span>,</div>
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<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  lp_values);</div>
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<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  }</div>
|
|
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  }</div>
|
|
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="keywordflow">if</span> (skipped_constraints > 0) {</div>
|
|
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  VLOG(2) << <span class="stringliteral">"Skipped constraints: "</span> << skipped_constraints;</div>
|
|
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  }</div>
|
|
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  };</div>
|
|
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  </div>
|
|
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordflow">return</span> result;</div>
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|
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> }</div>
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|
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  </div>
|
|
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> <span class="comment">// Compute the larger t <= max_t such that t * rhs_remainder >= divisor / 2.</span></div>
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|
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span> <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> <span class="comment">// This is just a separate function as it is slightly faster to compute the</span></div>
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<div class="line"><a name="l00600"></a><span class="lineno"> 600</span> <span class="comment">// result only once.</span></div>
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<div class="line"><a name="l00601"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a44bd0a015c444c2e2d58a002a09a1ea5"> 601</a></span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a44bd0a015c444c2e2d58a002a09a1ea5">GetFactorT</a>(IntegerValue rhs_remainder, IntegerValue divisor,</div>
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<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  IntegerValue max_t) {</div>
|
|
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  DCHECK_GE(max_t, 1);</div>
|
|
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  <span class="keywordflow">return</span> rhs_remainder == 0</div>
|
|
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  ? max_t</div>
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<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  : <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(max_t, <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(divisor / 2, rhs_remainder));</div>
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<div class="line"><a name="l00607"></a><span class="lineno"> 607</span> }</div>
|
|
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  </div>
|
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<div class="line"><a name="l00609"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8e30df8580d6914abba28f43b6e4e667"> 609</a></span> std::function<IntegerValue(IntegerValue)> <a class="code" href="namespaceoperations__research_1_1sat.html#a8e30df8580d6914abba28f43b6e4e667">GetSuperAdditiveRoundingFunction</a>(</div>
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|
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  IntegerValue rhs_remainder, IntegerValue divisor, IntegerValue t,</div>
|
|
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  IntegerValue max_scaling) {</div>
|
|
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  DCHECK_GE(max_scaling, 1);</div>
|
|
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  </div>
|
|
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="comment">// Adjust after the multiplication by t.</span></div>
|
|
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  rhs_remainder *= t;</div>
|
|
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  DCHECK_LT(rhs_remainder, divisor);</div>
|
|
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  </div>
|
|
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="comment">// Make sure we don't have an integer overflow below. Note that we assume that</span></div>
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|
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="comment">// divisor and the maximum coeff magnitude are not too different (maybe a</span></div>
|
|
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="comment">// factor 1000 at most) so that the final result will never overflow.</span></div>
|
|
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  max_scaling = <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(max_scaling, <a class="code" href="integral__types_8h.html#a74ea76ea27f48fb1b6e148e1577b3719">kint64max</a> / divisor);</div>
|
|
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  </div>
|
|
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keyword">const</span> IntegerValue size = divisor - rhs_remainder;</div>
|
|
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keywordflow">if</span> (max_scaling == 1 || size == 1) {</div>
|
|
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="comment">// TODO(user): Use everywhere a two step computation to avoid overflow?</span></div>
|
|
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="comment">// First divide by divisor, then multiply by t. For now, we limit t so that</span></div>
|
|
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  <span class="comment">// we never have an overflow instead.</span></div>
|
|
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">return</span> [t, divisor](IntegerValue coeff) {</div>
|
|
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(t * coeff, divisor);</div>
|
|
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  };</div>
|
|
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (size <= max_scaling) {</div>
|
|
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <span class="keywordflow">return</span> [size, rhs_remainder, t, divisor](IntegerValue coeff) {</div>
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|
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(t * coeff, divisor);</div>
|
|
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  <span class="keyword">const</span> IntegerValue remainder = t * coeff - <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> * divisor;</div>
|
|
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <span class="keyword">const</span> IntegerValue diff = remainder - rhs_remainder;</div>
|
|
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keywordflow">return</span> size * <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> + <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(IntegerValue(0), diff);</div>
|
|
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  };</div>
|
|
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (max_scaling.value() * rhs_remainder.value() < divisor) {</div>
|
|
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="comment">// Because of our max_t limitation, the rhs_remainder might stay small.</span></div>
|
|
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="comment">// If it is "too small" we cannot use the code below because it will not be</span></div>
|
|
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="comment">// valid. So we just divide divisor into max_scaling bucket. The</span></div>
|
|
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <span class="comment">// rhs_remainder will be in the bucket 0.</span></div>
|
|
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="comment">// Note(user): This seems the same as just increasing t, modulo integer</span></div>
|
|
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <span class="comment">// overflows. Maybe we should just always do the computation like this so</span></div>
|
|
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="comment">// that we can use larger t even if coeff is close to kint64max.</span></div>
|
|
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="keywordflow">return</span> [t, divisor, max_scaling](IntegerValue coeff) {</div>
|
|
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(t * coeff, divisor);</div>
|
|
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="keyword">const</span> IntegerValue remainder = t * coeff - <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> * divisor;</div>
|
|
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  <span class="keyword">const</span> IntegerValue bucket = <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(remainder * max_scaling, divisor);</div>
|
|
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <span class="keywordflow">return</span> max_scaling * <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> + bucket;</div>
|
|
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  };</div>
|
|
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="comment">// We divide (size = divisor - rhs_remainder) into (max_scaling - 1) buckets</span></div>
|
|
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="comment">// and increase the function by 1 / max_scaling for each of them.</span></div>
|
|
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <span class="comment">// Note that for different values of max_scaling, we get a family of</span></div>
|
|
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="comment">// functions that do not dominate each others. So potentially, a max scaling</span></div>
|
|
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="comment">// as low as 2 could lead to the better cut (this is exactly the Letchford &</span></div>
|
|
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="comment">// Lodi function).</span></div>
|
|
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="comment">// Another intersting fact, is that if we want to compute the maximum alpha</span></div>
|
|
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <span class="comment">// for a constraint with 2 terms like:</span></div>
|
|
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="comment">// divisor * Y + (ratio * divisor + remainder) * X</span></div>
|
|
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  <span class="comment">// <= rhs_ratio * divisor + rhs_remainder</span></div>
|
|
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="comment">// so that we have the cut:</span></div>
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|
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="comment">// Y + (ratio + alpha) * X <= rhs_ratio</span></div>
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|
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <span class="comment">// This is the same as computing the maximum alpha such that for all integer</span></div>
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|
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  <span class="comment">// X > 0 we have CeilRatio(alpha * divisor * X, divisor)</span></div>
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<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="comment">// <= CeilRatio(remainder * X - rhs_remainder, divisor).</span></div>
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|
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <span class="comment">// We can prove that this alpha is of the form (n - 1) / n, and it will</span></div>
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|
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <span class="comment">// be reached by such function for a max_scaling of n.</span></div>
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|
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="comment">// TODO(user): This function is not always maximal when</span></div>
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|
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <span class="comment">// size % (max_scaling - 1) == 0. Improve?</span></div>
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|
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <span class="keywordflow">return</span> [size, rhs_remainder, t, divisor, max_scaling](IntegerValue coeff) {</div>
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|
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(t * coeff, divisor);</div>
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|
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <span class="keyword">const</span> IntegerValue remainder = t * coeff - <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> * divisor;</div>
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|
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <span class="keyword">const</span> IntegerValue diff = remainder - rhs_remainder;</div>
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|
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <span class="keyword">const</span> IntegerValue bucket =</div>
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<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  diff > 0 ? <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(diff * (max_scaling - 1), size)</div>
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<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  : IntegerValue(0);</div>
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<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="keywordflow">return</span> max_scaling * <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> + bucket;</div>
|
|
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  };</div>
|
|
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  }</div>
|
|
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span> }</div>
|
|
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  </div>
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|
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> <span class="comment">// TODO(user): This has been optimized a bit, but we can probably do even better</span></div>
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<div class="line"><a name="l00690"></a><span class="lineno"> 690</span> <span class="comment">// as it still takes around 25% percent of the run time when all the cuts are on</span></div>
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|
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> <span class="comment">// for the opm*mps.gz problems and others.</span></div>
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<div class="line"><a name="l00692"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1IntegerRoundingCutHelper.html#a66c8e6dc26260b69dcdf7668925dc3aa"> 692</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerRoundingCutHelper.html#a66c8e6dc26260b69dcdf7668925dc3aa">IntegerRoundingCutHelper::ComputeCut</a>(</div>
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<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <a class="code" href="structoperations__research_1_1sat_1_1RoundingOptions.html">RoundingOptions</a> options, <span class="keyword">const</span> std::vector<double>& lp_values,</div>
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|
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keyword">const</span> std::vector<IntegerValue>& <a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>,</div>
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|
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keyword">const</span> std::vector<IntegerValue>& <a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>,</div>
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<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html">ImpliedBoundsProcessor</a>* ib_processor, <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>* cut) {</div>
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<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> size = lp_values.size();</div>
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|
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="keywordflow">if</span> (size == 0) <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  CHECK_EQ(<a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>.size(), size);</div>
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|
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  CHECK_EQ(<a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>.size(), size);</div>
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|
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  CHECK_EQ(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(), size);</div>
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|
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  CHECK_EQ(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.size(), size);</div>
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|
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  CHECK_EQ(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>);</div>
|
|
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  </div>
|
|
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  <span class="comment">// To optimize the computation of the best divisor below, we only need to</span></div>
|
|
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="comment">// look at the indices with a shifted lp value that is not close to zero.</span></div>
|
|
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  <span class="comment">// TODO(user): sort by decreasing lp_values so that our early abort test in</span></div>
|
|
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <span class="comment">// the critical loop below has more chance of returning early? I tried but it</span></div>
|
|
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <span class="comment">// didn't seems to change much though.</span></div>
|
|
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  relevant_indices_.clear();</div>
|
|
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  relevant_lp_values_.clear();</div>
|
|
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  relevant_coeffs_.clear();</div>
|
|
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  relevant_bound_diffs_.clear();</div>
|
|
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  divisors_.clear();</div>
|
|
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  adjusted_coeffs_.clear();</div>
|
|
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  </div>
|
|
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  <span class="comment">// Compute the maximum magnitude for non-fixed variables.</span></div>
|
|
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  IntegerValue max_magnitude(0);</div>
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|
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
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|
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="keywordflow">if</span> (<a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i] == <a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i]) <span class="keywordflow">continue</span>;</div>
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|
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  <span class="keyword">const</span> IntegerValue magnitude = <a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
|
|
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  max_magnitude = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(max_magnitude, magnitude);</div>
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|
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  }</div>
|
|
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  </div>
|
|
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="comment">// Shift each variable using its lower/upper bound so that no variable can</span></div>
|
|
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <span class="comment">// change sign. We eventually do a change of variable to its negation so</span></div>
|
|
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  <span class="comment">// that all variable are non-negative.</span></div>
|
|
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  <span class="keywordtype">bool</span> overflow = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  change_sign_at_postprocessing_.assign(size, <span class="keyword">false</span>);</div>
|
|
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
|
|
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  <span class="keywordflow">if</span> (cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] == 0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  <span class="keyword">const</span> IntegerValue magnitude = <a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
|
|
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  </div>
|
|
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  <span class="comment">// We might change them below.</span></div>
|
|
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  IntegerValue lb = <a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i];</div>
|
|
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  <span class="keywordtype">double</span> lp_value = lp_values[i];</div>
|
|
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  </div>
|
|
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  <span class="keyword">const</span> IntegerValue ub = <a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i];</div>
|
|
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  <span class="keyword">const</span> IntegerValue bound_diff =</div>
|
|
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  IntegerValue(<a class="code" href="namespaceoperations__research.html#a228fe84d99348c2b62bb4f70a6371d9b">CapSub</a>(ub.value(), lb.value()));</div>
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|
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  </div>
|
|
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="comment">// Note that since we use ToDouble() this code works fine with lb/ub at</span></div>
|
|
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  <span class="comment">// min/max integer value.</span></div>
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|
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  <span class="comment">// TODO(user): Experiments with different heuristics. Other solver also</span></div>
|
|
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  <span class="comment">// seems to try a bunch of possibilities in a "postprocess" phase once</span></div>
|
|
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  <span class="comment">// the divisor is chosen. Try that.</span></div>
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|
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  {</div>
|
|
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  <span class="comment">// when the magnitude of the entry become smaller and smaller we bias</span></div>
|
|
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  <span class="comment">// towards a positive coefficient. This is because after rounding this</span></div>
|
|
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  <span class="comment">// will likely become zero instead of -divisor and we need the lp value</span></div>
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|
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <span class="comment">// to be really close to its bound to compensate.</span></div>
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|
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> lb_dist = std::abs(lp_value - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb));</div>
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|
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> ub_dist = std::abs(lp_value - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub));</div>
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<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> bias =</div>
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|
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(1.0, 0.1 * <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(max_magnitude) / <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(magnitude));</div>
|
|
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  <span class="keywordflow">if</span> ((bias * lb_dist > ub_dist && cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] < 0) ||</div>
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|
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  (lb_dist > bias * ub_dist && cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] > 0)) {</div>
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|
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  change_sign_at_postprocessing_[i] = <span class="keyword">true</span>;</div>
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|
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] = -cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
|
|
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  lp_value = -lp_value;</div>
|
|
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  lb = -ub;</div>
|
|
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  }</div>
|
|
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  }</div>
|
|
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  </div>
|
|
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <span class="comment">// Always shift to lb.</span></div>
|
|
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  <span class="comment">// coeff * X = coeff * (X - shift) + coeff * shift.</span></div>
|
|
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  lp_value -= <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb);</div>
|
|
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(-cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i], lb, &cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>)) {</div>
|
|
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  overflow = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  }</div>
|
|
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  </div>
|
|
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  <span class="comment">// Deal with fixed variable, no need to shift back in this case, we can</span></div>
|
|
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <span class="comment">// just remove the term.</span></div>
|
|
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  <span class="keywordflow">if</span> (bound_diff == 0) {</div>
|
|
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i] = IntegerValue(0);</div>
|
|
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  lp_value = 0.0;</div>
|
|
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  }</div>
|
|
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  </div>
|
|
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <span class="keywordflow">if</span> (std::abs(lp_value) > 1e-2) {</div>
|
|
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  relevant_coeffs_.push_back(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]);</div>
|
|
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  relevant_indices_.push_back(i);</div>
|
|
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  relevant_lp_values_.push_back(lp_value);</div>
|
|
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  relevant_bound_diffs_.push_back(bound_diff);</div>
|
|
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  divisors_.push_back(magnitude);</div>
|
|
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  }</div>
|
|
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  }</div>
|
|
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  </div>
|
|
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <span class="comment">// TODO(user): Maybe this shouldn't be called on such constraint.</span></div>
|
|
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  <span class="keywordflow">if</span> (relevant_coeffs_.empty()) {</div>
|
|
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  VLOG(2) << <span class="stringliteral">"Issue, nothing to cut."</span>;</div>
|
|
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  *cut = <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>(IntegerValue(0), IntegerValue(0));</div>
|
|
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  }</div>
|
|
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  CHECK_NE(max_magnitude, 0);</div>
|
|
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  </div>
|
|
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <span class="comment">// Our heuristic will try to generate a few different cuts, and we will keep</span></div>
|
|
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <span class="comment">// the most violated one scaled by the l2 norm of the relevant position.</span></div>
|
|
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="comment">// TODO(user): Experiment for the best value of this initial violation</span></div>
|
|
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <span class="comment">// threshold. Note also that we use the l2 norm on the restricted position</span></div>
|
|
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  <span class="comment">// here. Maybe we should change that? On that note, the L2 norm usage seems a</span></div>
|
|
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="comment">// bit weird to me since it grows with the number of term in the cut. And</span></div>
|
|
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  <span class="comment">// often, we already have a good cut, and we make it stronger by adding extra</span></div>
|
|
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  <span class="comment">// terms that do not change its activity.</span></div>
|
|
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <span class="comment">// The discussion above only concern the best_scaled_violation initial value.</span></div>
|
|
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  <span class="comment">// The remainder_threshold allows to not consider cuts for which the final</span></div>
|
|
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  <span class="comment">// efficacity is clearly lower than 1e-3 (it is a bound, so we could generate</span></div>
|
|
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="comment">// cuts with a lower efficacity than this).</span></div>
|
|
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <span class="keywordtype">double</span> best_scaled_violation = 0.01;</div>
|
|
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  <span class="keyword">const</span> IntegerValue remainder_threshold(max_magnitude / 1000);</div>
|
|
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  </div>
|
|
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="comment">// The cut->ub might have grown quite a bit with the bound substitution, so</span></div>
|
|
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <span class="comment">// we need to include it too since we will apply the rounding function on it.</span></div>
|
|
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  max_magnitude = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(max_magnitude, <a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>));</div>
|
|
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  </div>
|
|
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="comment">// Make sure that when we multiply the rhs or the coefficient by a factor t,</span></div>
|
|
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <span class="comment">// we do not have an integer overflow. Actually, we need a bit more room</span></div>
|
|
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <span class="comment">// because we might round down a value to the next multiple of</span></div>
|
|
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  <span class="comment">// max_magnitude.</span></div>
|
|
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  <span class="keyword">const</span> IntegerValue threshold = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> / 2;</div>
|
|
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  <span class="keywordflow">if</span> (overflow || max_magnitude >= threshold) {</div>
|
|
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  VLOG(2) << <span class="stringliteral">"Issue, overflow."</span>;</div>
|
|
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  *cut = <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>(IntegerValue(0), IntegerValue(0));</div>
|
|
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  }</div>
|
|
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  <span class="keyword">const</span> IntegerValue max_t = threshold / max_magnitude;</div>
|
|
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  </div>
|
|
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  <span class="comment">// There is no point trying twice the same divisor or a divisor that is too</span></div>
|
|
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  <span class="comment">// small. Note that we use a higher threshold than the remainder_threshold</span></div>
|
|
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  <span class="comment">// because we can boost the remainder thanks to our adjusting heuristic below</span></div>
|
|
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  <span class="comment">// and also because this allows to have cuts with a small range of</span></div>
|
|
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  <span class="comment">// coefficients.</span></div>
|
|
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  <span class="comment">// TODO(user): Note that the std::sort() is visible in some cpu profile.</span></div>
|
|
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  {</div>
|
|
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  <span class="keywordtype">int</span> new_size = 0;</div>
|
|
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  <span class="keyword">const</span> IntegerValue divisor_threshold = max_magnitude / 10;</div>
|
|
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < divisors_.size(); ++i) {</div>
|
|
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  <span class="keywordflow">if</span> (divisors_[i] <= divisor_threshold) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  divisors_[new_size++] = divisors_[i];</div>
|
|
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  }</div>
|
|
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  divisors_.resize(new_size);</div>
|
|
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  }</div>
|
|
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&divisors_, std::greater<IntegerValue>());</div>
|
|
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  </div>
|
|
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  <span class="comment">// TODO(user): Avoid quadratic algorithm? Note that we are quadratic in</span></div>
|
|
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  <span class="comment">// relevant_indices not the full cut->coeffs.size(), but this is still too</span></div>
|
|
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <span class="comment">// much on some problems.</span></div>
|
|
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  IntegerValue best_divisor(0);</div>
|
|
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue divisor : divisors_) {</div>
|
|
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="comment">// Skip if we don't have the potential to generate a good enough cut.</span></div>
|
|
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  <span class="keyword">const</span> IntegerValue initial_rhs_remainder =</div>
|
|
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> - <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, divisor) * divisor;</div>
|
|
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <span class="keywordflow">if</span> (initial_rhs_remainder <= remainder_threshold) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  </div>
|
|
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  IntegerValue temp_ub = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
|
|
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  adjusted_coeffs_.clear();</div>
|
|
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  </div>
|
|
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  <span class="comment">// We will adjust coefficient that are just under an exact multiple of</span></div>
|
|
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  <span class="comment">// divisor to an exact multiple. This is meant to get rid of small errors</span></div>
|
|
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  <span class="comment">// that appears due to rounding error in our exact computation of the</span></div>
|
|
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  <span class="comment">// initial constraint given to this class.</span></div>
|
|
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  <span class="comment">// Each adjustement will cause the initial_rhs_remainder to increase, and we</span></div>
|
|
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  <span class="comment">// do not want to increase it above divisor. Our threshold below guarantees</span></div>
|
|
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <span class="comment">// this. Note that the higher the rhs_remainder becomes, the more the</span></div>
|
|
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  <span class="comment">// function f() has a chance to reduce the violation, so it is not always a</span></div>
|
|
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="comment">// good idea to use all the slack we have between initial_rhs_remainder and</span></div>
|
|
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <span class="comment">// divisor.</span></div>
|
|
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  <span class="comment">// TODO(user): If possible, it might be better to complement these</span></div>
|
|
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  <span class="comment">// variables. Even if the adjusted lp_values end up larger, if we loose less</span></div>
|
|
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  <span class="comment">// when taking f(), then we will have a better violation.</span></div>
|
|
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  <span class="keyword">const</span> IntegerValue adjust_threshold =</div>
|
|
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  (divisor - initial_rhs_remainder - 1) / IntegerValue(size);</div>
|
|
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  <span class="keywordflow">if</span> (adjust_threshold > 0) {</div>
|
|
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <span class="comment">// Even before we finish the adjust, we can have a lower bound on the</span></div>
|
|
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  <span class="comment">// activily loss using this divisor, and so we can abort early. This is</span></div>
|
|
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <span class="comment">// similar to what is done below in the function.</span></div>
|
|
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  <span class="keywordtype">bool</span> early_abort = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  <span class="keywordtype">double</span> loss_lb = 0.0;</div>
|
|
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> threshold = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(initial_rhs_remainder);</div>
|
|
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  </div>
|
|
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < relevant_coeffs_.size(); ++i) {</div>
|
|
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  <span class="comment">// Compute the difference of coeff with the next multiple of divisor.</span></div>
|
|
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  <span class="keyword">const</span> IntegerValue coeff = relevant_coeffs_[i];</div>
|
|
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  <span class="keyword">const</span> IntegerValue remainder =</div>
|
|
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(coeff, divisor) * divisor - coeff;</div>
|
|
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  </div>
|
|
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  <span class="keywordflow">if</span> (divisor - remainder <= initial_rhs_remainder) {</div>
|
|
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  <span class="comment">// We do not know exactly f() yet, but it will always round to the</span></div>
|
|
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  <span class="comment">// floor of the division by divisor in this case.</span></div>
|
|
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  loss_lb += <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(divisor - remainder) * relevant_lp_values_[i];</div>
|
|
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  <span class="keywordflow">if</span> (loss_lb >= threshold) {</div>
|
|
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  early_abort = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  }</div>
|
|
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  }</div>
|
|
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  </div>
|
|
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  <span class="comment">// Adjust coeff of the form k * divisor - epsilon.</span></div>
|
|
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  <span class="keyword">const</span> IntegerValue diff = relevant_bound_diffs_[i];</div>
|
|
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  <span class="keywordflow">if</span> (remainder > 0 && remainder <= adjust_threshold &&</div>
|
|
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  <a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(diff.value(), remainder.value()) <= adjust_threshold) {</div>
|
|
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  temp_ub += remainder * diff;</div>
|
|
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  adjusted_coeffs_.push_back({i, coeff + remainder});</div>
|
|
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  }</div>
|
|
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>  }</div>
|
|
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  </div>
|
|
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <span class="keywordflow">if</span> (early_abort) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  }</div>
|
|
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  </div>
|
|
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  <span class="comment">// Create the super-additive function f().</span></div>
|
|
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  <span class="keyword">const</span> IntegerValue rhs_remainder =</div>
|
|
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  temp_ub - <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(temp_ub, divisor) * divisor;</div>
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|
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  <span class="keywordflow">if</span> (rhs_remainder == 0) <span class="keywordflow">continue</span>;</div>
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|
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  </div>
|
|
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  <span class="keyword">const</span> <span class="keyword">auto</span> f = <a class="code" href="namespaceoperations__research_1_1sat.html#a8e30df8580d6914abba28f43b6e4e667">GetSuperAdditiveRoundingFunction</a>(</div>
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|
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  rhs_remainder, divisor, <a class="code" href="namespaceoperations__research_1_1sat.html#a44bd0a015c444c2e2d58a002a09a1ea5">GetFactorT</a>(rhs_remainder, divisor, max_t),</div>
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|
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  options.<a class="code" href="structoperations__research_1_1sat_1_1RoundingOptions.html#a01db407e90fac1c31c6705758a057908">max_scaling</a>);</div>
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|
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  </div>
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|
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  <span class="comment">// As we round coefficients, we will compute the loss compared to the</span></div>
|
|
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  <span class="comment">// current scaled constraint activity. As soon as this loss crosses the</span></div>
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|
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  <span class="comment">// slack, then we known that there is no violation and we can abort early.</span></div>
|
|
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  <span class="comment">//</span></div>
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|
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  <span class="comment">// TODO(user): modulo the scaling, we could compute the exact threshold</span></div>
|
|
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  <span class="comment">// using our current best cut. Note that we also have to account the change</span></div>
|
|
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  <span class="comment">// in slack due to the adjust code above.</span></div>
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|
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> scaling = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(f(divisor)) / <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(divisor);</div>
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|
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> threshold = scaling * <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(rhs_remainder);</div>
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|
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  <span class="keywordtype">double</span> loss = 0.0;</div>
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|
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  </div>
|
|
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  <span class="comment">// Apply f() to the cut and compute the cut violation. Note that it is</span></div>
|
|
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  <span class="comment">// okay to just look at the relevant indices since the other have a lp</span></div>
|
|
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  <span class="comment">// value which is almost zero. Doing it like this is faster, and even if</span></div>
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|
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  <span class="comment">// the max_magnitude might be off it should still be relevant enough.</span></div>
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|
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  <span class="keywordtype">double</span> violation = -<a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(f(temp_ub));</div>
|
|
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  <span class="keywordtype">double</span> l2_norm = 0.0;</div>
|
|
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <span class="keywordtype">bool</span> early_abort = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  <span class="keywordtype">int</span> adjusted_coeffs_index = 0;</div>
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|
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < relevant_coeffs_.size(); ++i) {</div>
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|
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  IntegerValue coeff = relevant_coeffs_[i];</div>
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|
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  </div>
|
|
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  <span class="comment">// Adjust coeff according to our previous computation if needed.</span></div>
|
|
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  <span class="keywordflow">if</span> (adjusted_coeffs_index < adjusted_coeffs_.size() &&</div>
|
|
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  adjusted_coeffs_[adjusted_coeffs_index].first == i) {</div>
|
|
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  coeff = adjusted_coeffs_[adjusted_coeffs_index].second;</div>
|
|
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  adjusted_coeffs_index++;</div>
|
|
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  }</div>
|
|
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  </div>
|
|
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  <span class="keywordflow">if</span> (coeff == 0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <span class="keyword">const</span> IntegerValue new_coeff = f(coeff);</div>
|
|
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> new_coeff_double = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(new_coeff);</div>
|
|
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> lp_value = relevant_lp_values_[i];</div>
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|
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  </div>
|
|
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>  l2_norm += new_coeff_double * new_coeff_double;</div>
|
|
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>  violation += new_coeff_double * lp_value;</div>
|
|
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  loss += (scaling * <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(coeff) - new_coeff_double) * lp_value;</div>
|
|
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>  <span class="keywordflow">if</span> (loss >= threshold) {</div>
|
|
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  early_abort = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  }</div>
|
|
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  }</div>
|
|
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  <span class="keywordflow">if</span> (early_abort) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  </div>
|
|
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  <span class="comment">// Here we scale by the L2 norm over the "relevant" positions. This seems</span></div>
|
|
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="comment">// to work slighly better in practice.</span></div>
|
|
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  violation /= sqrt(l2_norm);</div>
|
|
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  <span class="keywordflow">if</span> (violation > best_scaled_violation) {</div>
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|
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  best_scaled_violation = violation;</div>
|
|
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  best_divisor = divisor;</div>
|
|
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  }</div>
|
|
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  }</div>
|
|
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  </div>
|
|
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="keywordflow">if</span> (best_divisor == 0) {</div>
|
|
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  *cut = <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>(IntegerValue(0), IntegerValue(0));</div>
|
|
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  }</div>
|
|
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>  </div>
|
|
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span>  <span class="comment">// Adjust coefficients.</span></div>
|
|
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  <span class="comment">// TODO(user): It might make sense to also adjust the one with a small LP</span></div>
|
|
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>  <span class="comment">// value, but then the cut will be slighlty different than the one we computed</span></div>
|
|
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  <span class="comment">// above. Try with and without maybe?</span></div>
|
|
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  <span class="keyword">const</span> IntegerValue initial_rhs_remainder =</div>
|
|
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> - <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, best_divisor) * best_divisor;</div>
|
|
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  <span class="keyword">const</span> IntegerValue adjust_threshold =</div>
|
|
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  (best_divisor - initial_rhs_remainder - 1) / IntegerValue(size);</div>
|
|
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>  <span class="keywordflow">if</span> (adjust_threshold > 0) {</div>
|
|
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < relevant_indices_.size(); ++i) {</div>
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|
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = relevant_indices_[i];</div>
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|
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  <span class="keyword">const</span> IntegerValue diff = relevant_bound_diffs_[i];</div>
|
|
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>  <span class="keywordflow">if</span> (diff > adjust_threshold) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>  </div>
|
|
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>  <span class="comment">// Adjust coeff of the form k * best_divisor - epsilon.</span></div>
|
|
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>  <span class="keyword">const</span> IntegerValue coeff = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>];</div>
|
|
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>  <span class="keyword">const</span> IntegerValue remainder =</div>
|
|
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(coeff, best_divisor) * best_divisor - coeff;</div>
|
|
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(diff.value(), remainder.value()) <= adjust_threshold) {</div>
|
|
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> += remainder * diff;</div>
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|
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>] += remainder;</div>
|
|
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>  }</div>
|
|
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>  }</div>
|
|
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>  }</div>
|
|
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>  </div>
|
|
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>  <span class="comment">// Create the super-additive function f().</span></div>
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|
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>  <span class="comment">// TODO(user): Try out different rounding function and keep the best. We can</span></div>
|
|
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>  <span class="comment">// change max_t and max_scaling. It might not be easy to choose which cut is</span></div>
|
|
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>  <span class="comment">// the best, but we can at least know for sure if one dominate the other</span></div>
|
|
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>  <span class="comment">// completely. That is, if for all coeff f(coeff)/f(divisor) is greater than</span></div>
|
|
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  <span class="comment">// or equal to the same value for another function f.</span></div>
|
|
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  <span class="keyword">const</span> IntegerValue rhs_remainder =</div>
|
|
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> - <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, best_divisor) * best_divisor;</div>
|
|
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  IntegerValue factor_t = <a class="code" href="namespaceoperations__research_1_1sat.html#a44bd0a015c444c2e2d58a002a09a1ea5">GetFactorT</a>(rhs_remainder, best_divisor, max_t);</div>
|
|
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  <span class="keyword">auto</span> f = <a class="code" href="namespaceoperations__research_1_1sat.html#a8e30df8580d6914abba28f43b6e4e667">GetSuperAdditiveRoundingFunction</a>(rhs_remainder, best_divisor,</div>
|
|
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  factor_t, options.<a class="code" href="structoperations__research_1_1sat_1_1RoundingOptions.html#a01db407e90fac1c31c6705758a057908">max_scaling</a>);</div>
|
|
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  </div>
|
|
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  <span class="comment">// Look amongst all our possible function f() for one that dominate greedily</span></div>
|
|
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  <span class="comment">// our current best one. Note that we prefer lower scaling factor since that</span></div>
|
|
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  <span class="comment">// result in a cut with lower coefficients.</span></div>
|
|
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  remainders_.clear();</div>
|
|
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
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|
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>  <span class="keyword">const</span> IntegerValue coeff = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
|
|
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  <span class="keyword">const</span> IntegerValue r =</div>
|
|
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  coeff - <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(coeff, best_divisor) * best_divisor;</div>
|
|
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  <span class="keywordflow">if</span> (r > rhs_remainder) remainders_.push_back(r);</div>
|
|
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  }</div>
|
|
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&remainders_);</div>
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|
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  <span class="keywordflow">if</span> (remainders_.size() <= 100) {</div>
|
|
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  best_rs_.clear();</div>
|
|
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue r : remainders_) {</div>
|
|
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>  best_rs_.push_back(f(r));</div>
|
|
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  }</div>
|
|
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>  IntegerValue best_d = f(best_divisor);</div>
|
|
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  </div>
|
|
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  <span class="comment">// Note that the complexity seems high 100 * 2 * options.max_scaling, but</span></div>
|
|
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  <span class="comment">// this only run on cuts that are already efficient and the inner loop tend</span></div>
|
|
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  <span class="comment">// to abort quickly. I didn't see this code in the cpu profile so far.</span></div>
|
|
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue t :</div>
|
|
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  {IntegerValue(1), <a class="code" href="namespaceoperations__research_1_1sat.html#a44bd0a015c444c2e2d58a002a09a1ea5">GetFactorT</a>(rhs_remainder, best_divisor, max_t)}) {</div>
|
|
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  <span class="keywordflow">for</span> (IntegerValue s(2); s <= options.<a class="code" href="structoperations__research_1_1sat_1_1RoundingOptions.html#a01db407e90fac1c31c6705758a057908">max_scaling</a>; ++s) {</div>
|
|
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  <span class="keyword">const</span> <span class="keyword">auto</span> g =</div>
|
|
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a8e30df8580d6914abba28f43b6e4e667">GetSuperAdditiveRoundingFunction</a>(rhs_remainder, best_divisor, t, s);</div>
|
|
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>  <span class="keywordtype">int</span> num_strictly_better = 0;</div>
|
|
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  rs_.clear();</div>
|
|
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  <span class="keyword">const</span> IntegerValue d = g(best_divisor);</div>
|
|
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < best_rs_.size(); ++i) {</div>
|
|
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  <span class="keyword">const</span> IntegerValue temp = g(remainders_[i]);</div>
|
|
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  <span class="keywordflow">if</span> (temp * best_d < best_rs_[i] * d) <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  <span class="keywordflow">if</span> (temp * best_d > best_rs_[i] * d) num_strictly_better++;</div>
|
|
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  rs_.push_back(temp);</div>
|
|
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  }</div>
|
|
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  <span class="keywordflow">if</span> (rs_.size() == best_rs_.size() && num_strictly_better > 0) {</div>
|
|
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  f = g;</div>
|
|
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  factor_t = t;</div>
|
|
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  best_rs_ = rs_;</div>
|
|
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  best_d = d;</div>
|
|
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  }</div>
|
|
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  }</div>
|
|
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  }</div>
|
|
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>  }</div>
|
|
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>  </div>
|
|
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>  <span class="comment">// Starts to apply f() to the cut. We only apply it to the rhs here, the</span></div>
|
|
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  <span class="comment">// coefficient will be done after the potential lifting of some Booleans.</span></div>
|
|
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = f(cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>);</div>
|
|
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>  tmp_terms_.clear();</div>
|
|
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>  </div>
|
|
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  <span class="comment">// Lift some implied bounds Booleans. Note that we will add them after</span></div>
|
|
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  <span class="comment">// "size" so they will be ignored in the second loop below.</span></div>
|
|
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>  num_lifted_booleans_ = 0;</div>
|
|
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>  <span class="keywordflow">if</span> (ib_processor != <span class="keyword">nullptr</span>) {</div>
|
|
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
|
|
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>  <span class="keyword">const</span> IntegerValue coeff = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
|
|
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  <span class="keywordflow">if</span> (coeff == 0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>  </div>
|
|
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
|
|
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  <span class="keywordflow">if</span> (change_sign_at_postprocessing_[i]) {</div>
|
|
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <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="l01083"></a><span class="lineno"> 1083</span>  }</div>
|
|
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>  </div>
|
|
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html">ImpliedBoundsProcessor::BestImpliedBoundInfo</a> info =</div>
|
|
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>  ib_processor-><a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#abb0b7cc2e259fc8ebe8fd3dd55816b75">GetCachedImpliedBoundInfo</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>  </div>
|
|
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>  <span class="comment">// Avoid overflow.</span></div>
|
|
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(std::abs(coeff.value()), factor_t.value()),</div>
|
|
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>  info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>.value()) == <a class="code" href="integral__types_8h.html#a74ea76ea27f48fb1b6e148e1577b3719">kint64max</a>) {</div>
|
|
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>  }</div>
|
|
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>  </div>
|
|
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>  <span class="comment">// Because X = bound_diff * B + S</span></div>
|
|
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>  <span class="comment">// We can replace coeff * X by the expression before applying f:</span></div>
|
|
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>  <span class="comment">// = f(coeff * bound_diff) * B + f(coeff) * [X - bound_diff * B]</span></div>
|
|
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>  <span class="comment">// = f(coeff) * X + (f(coeff * bound_diff) - f(coeff) * bound_diff] B</span></div>
|
|
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>  <span class="comment">// So we can "lift" B into the cut.</span></div>
|
|
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>  <span class="keyword">const</span> IntegerValue coeff_b =</div>
|
|
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>  f(coeff * info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>) - f(coeff) * info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>;</div>
|
|
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>  CHECK_GE(coeff_b, 0);</div>
|
|
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>  <span class="keywordflow">if</span> (coeff_b == 0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>  </div>
|
|
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>  ++num_lifted_booleans_;</div>
|
|
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>  <span class="keywordflow">if</span> (info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a6d2822d5e07c3716efcdf73a4ae5eafc">is_positive</a>) {</div>
|
|
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>  tmp_terms_.push_back({info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a>, coeff_b});</div>
|
|
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  tmp_terms_.push_back({info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a>, -coeff_b});</div>
|
|
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = <a class="code" href="namespaceoperations__research.html#a99264812cf177270e521f226a5c012c3">CapAdd</a>(-coeff_b.value(), cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value());</div>
|
|
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>  }</div>
|
|
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  }</div>
|
|
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  }</div>
|
|
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>  </div>
|
|
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>  <span class="comment">// Apply f() to the cut.</span></div>
|
|
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>  <span class="comment">// Remove the bound shifts so the constraint is expressed in the original</span></div>
|
|
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>  <span class="comment">// variables.</span></div>
|
|
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
|
|
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>  IntegerValue coeff = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
|
|
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>  <span class="keywordflow">if</span> (coeff == 0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>  coeff = f(coeff);</div>
|
|
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>  <span class="keywordflow">if</span> (coeff == 0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>  <span class="keywordflow">if</span> (change_sign_at_postprocessing_[i]) {</div>
|
|
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = IntegerValue(</div>
|
|
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>  <a class="code" href="namespaceoperations__research.html#a99264812cf177270e521f226a5c012c3">CapAdd</a>((coeff * -<a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i]).<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>(), cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value()));</div>
|
|
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>  tmp_terms_.push_back({cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], -coeff});</div>
|
|
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = IntegerValue(</div>
|
|
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>  <a class="code" href="namespaceoperations__research.html#a99264812cf177270e521f226a5c012c3">CapAdd</a>((coeff * <a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i]).<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>(), cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value()));</div>
|
|
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>  tmp_terms_.push_back({cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], coeff});</div>
|
|
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>  }</div>
|
|
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>  }</div>
|
|
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  </div>
|
|
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>  <span class="comment">// Basic post-processing.</span></div>
|
|
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(&tmp_terms_, cut);</div>
|
|
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">RemoveZeroTerms</a>(cut);</div>
|
|
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(cut);</div>
|
|
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span> }</div>
|
|
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>  </div>
|
|
<div class="line"><a name="l01140"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acd00c99b5770a8f86418ce2c60c716b8"> 1140</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#acd00c99b5770a8f86418ce2c60c716b8">CreatePositiveMultiplicationCutGenerator</a>(IntegerVariable z,</div>
|
|
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>  IntegerVariable x,</div>
|
|
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>  IntegerVariable y,</div>
|
|
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>  <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
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|
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = {z, x, y};</div>
|
|
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>  </div>
|
|
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* <span class="keyword">const</span> integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
|
|
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> =</div>
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|
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>  [z, x, y, integer_trail](</div>
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|
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
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<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_lb = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x).value();</div>
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<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_ub = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(x).value();</div>
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<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> y_lb = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(y).value();</div>
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<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> y_ub = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(y).value();</div>
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<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>  </div>
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<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>  <span class="comment">// TODO(user): Compute a better bound (int_max / 4 ?).</span></div>
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<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> kMaxSafeInteger = (<a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a>{1} << 53) - 1;</div>
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<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>  </div>
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<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(x_ub, y_ub) >= kMaxSafeInteger) {</div>
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<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>  VLOG(3) << <span class="stringliteral">"Potential overflow in PositiveMultiplicationCutGenerator"</span>;</div>
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<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>  }</div>
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<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>  </div>
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<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> x_lp_value = lp_values[x];</div>
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<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> y_lp_value = lp_values[y];</div>
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<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> z_lp_value = lp_values[z];</div>
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<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>  </div>
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<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>  <span class="comment">// TODO(user): As the bounds change monotonically, these cuts</span></div>
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<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>  <span class="comment">// dominate any previous one. try to keep a reference to the cut and</span></div>
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<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>  <span class="comment">// replace it. Alternatively, add an API for a level-zero bound change</span></div>
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<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>  <span class="comment">// callback.</span></div>
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<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>  </div>
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<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>  <span class="comment">// Cut -z + x_coeff * x + y_coeff* y <= rhs</span></div>
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<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>  <span class="keyword">auto</span> try_add_above_cut = [manager, z_lp_value, x_lp_value, y_lp_value,</div>
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<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>  x, y, z, &lp_values](</div>
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<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_coeff, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> y_coeff, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> rhs) {</div>
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<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>  <span class="keywordflow">if</span> (-z_lp_value + x_lp_value * x_coeff + y_lp_value * y_coeff >=</div>
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<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>  rhs + kMinCutViolation) {</div>
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<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> cut;</div>
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<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(z);</div>
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<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(-1));</div>
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|
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>  <span class="keywordflow">if</span> (x_coeff != 0) {</div>
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<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(x);</div>
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<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(x_coeff));</div>
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|
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>  }</div>
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|
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>  <span class="keywordflow">if</span> (y_coeff != 0) {</div>
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<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(y);</div>
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|
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(y_coeff));</div>
|
|
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>  }</div>
|
|
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
|
|
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = IntegerValue(rhs);</div>
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|
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>  manager->AddCut(cut, <span class="stringliteral">"PositiveProduct"</span>, lp_values);</div>
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|
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>  }</div>
|
|
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>  };</div>
|
|
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>  </div>
|
|
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>  <span class="comment">// Cut -z + x_coeff * x + y_coeff* y >= rhs</span></div>
|
|
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>  <span class="keyword">auto</span> try_add_below_cut = [manager, z_lp_value, x_lp_value, y_lp_value,</div>
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|
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>  x, y, z, &lp_values](</div>
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|
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_coeff, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> y_coeff, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> rhs) {</div>
|
|
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>  <span class="keywordflow">if</span> (-z_lp_value + x_lp_value * x_coeff + y_lp_value * y_coeff <=</div>
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|
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>  rhs - kMinCutViolation) {</div>
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|
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> cut;</div>
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|
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(z);</div>
|
|
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(-1));</div>
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|
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>  <span class="keywordflow">if</span> (x_coeff != 0) {</div>
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|
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(x);</div>
|
|
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(x_coeff));</div>
|
|
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>  }</div>
|
|
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>  <span class="keywordflow">if</span> (y_coeff != 0) {</div>
|
|
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(y);</div>
|
|
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(y_coeff));</div>
|
|
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>  }</div>
|
|
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = IntegerValue(rhs);</div>
|
|
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
|
|
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>  manager->AddCut(cut, <span class="stringliteral">"PositiveProduct"</span>, lp_values);</div>
|
|
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>  }</div>
|
|
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>  };</div>
|
|
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>  </div>
|
|
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>  <span class="comment">// McCormick relaxation of bilinear constraints. These 4 cuts are the</span></div>
|
|
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>  <span class="comment">// exact facets of the x * y polyhedron for a bounded x and y.</span></div>
|
|
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>  <span class="comment">// Each cut correspond to plane that contains two of the line</span></div>
|
|
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>  <span class="comment">// (x=x_lb), (x=x_ub), (y=y_lb), (y=y_ub). The easiest to</span></div>
|
|
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>  <span class="comment">// understand them is to draw the x*y curves and see the 4</span></div>
|
|
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>  <span class="comment">// planes that correspond to the convex hull of the graph.</span></div>
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|
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>  try_add_above_cut(y_lb, x_lb, x_lb * y_lb);</div>
|
|
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>  try_add_above_cut(y_ub, x_ub, x_ub * y_ub);</div>
|
|
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>  try_add_below_cut(y_ub, x_lb, x_lb * y_ub);</div>
|
|
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>  try_add_below_cut(y_lb, x_ub, x_ub * y_lb);</div>
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|
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>  };</div>
|
|
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>  </div>
|
|
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>  <span class="keywordflow">return</span> result;</div>
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|
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span> }</div>
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|
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>  </div>
|
|
<div class="line"><a name="l01236"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a562723a1a137cee8f869c1d7eb9641b0"> 1236</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a562723a1a137cee8f869c1d7eb9641b0">CreateSquareCutGenerator</a>(IntegerVariable y, IntegerVariable x,</div>
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|
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>  <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
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|
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = {y, x};</div>
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|
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>  </div>
|
|
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
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|
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> =</div>
|
|
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>  [y, x, integer_trail](</div>
|
|
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
|
|
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
|
|
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_ub = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(x).value();</div>
|
|
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_lb = integer_trail-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x).value();</div>
|
|
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>  </div>
|
|
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>  <span class="keywordflow">if</span> (x_lb == x_ub) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>  </div>
|
|
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>  <span class="comment">// Check for potential overflows.</span></div>
|
|
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>  <span class="keywordflow">if</span> (x_ub > (<a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a>{1} << 31)) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>  DCHECK_GE(x_lb, 0);</div>
|
|
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>  </div>
|
|
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> y_lp_value = lp_values[y];</div>
|
|
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> x_lp_value = lp_values[x];</div>
|
|
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>  </div>
|
|
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>  <span class="comment">// First cut: target should be below the line:</span></div>
|
|
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>  <span class="comment">// (x_lb, x_lb ^ 2) to (x_ub, x_ub ^ 2).</span></div>
|
|
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>  <span class="comment">// The slope of that line is (ub^2 - lb^2) / (ub - lb) = ub + lb.</span></div>
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|
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> y_lb = x_lb * x_lb;</div>
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|
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> above_slope = x_ub + x_lb;</div>
|
|
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> max_lp_y = y_lb + above_slope * (x_lp_value - x_lb);</div>
|
|
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>  <span class="keywordflow">if</span> (y_lp_value >= max_lp_y + kMinCutViolation) {</div>
|
|
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>  <span class="comment">// cut: y <= (x_lb + x_ub) * x - x_lb * x_ub</span></div>
|
|
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> above_cut;</div>
|
|
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>  above_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(y);</div>
|
|
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>  above_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(1));</div>
|
|
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>  above_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(x);</div>
|
|
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>  above_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(-above_slope));</div>
|
|
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>  above_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
|
|
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>  above_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = IntegerValue(-x_lb * x_ub);</div>
|
|
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>  manager->AddCut(above_cut, <span class="stringliteral">"SquareUpper"</span>, lp_values);</div>
|
|
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>  }</div>
|
|
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>  </div>
|
|
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>  <span class="comment">// Second cut: target should be above all the lines</span></div>
|
|
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>  <span class="comment">// (value, value ^ 2) to (value + 1, (value + 1) ^ 2)</span></div>
|
|
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>  <span class="comment">// The slope of that line is 2 * value + 1</span></div>
|
|
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>  <span class="comment">// Note that we only add one of these cuts. The one for x_lp_value in</span></div>
|
|
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>  <span class="comment">// [value, value + 1].</span></div>
|
|
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> x_floor = <span class="keyword">static_cast<</span><a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a><span class="keyword">></span>(std::floor(x_lp_value));</div>
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|
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> below_slope = 2 * x_floor + 1;</div>
|
|
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> min_lp_y =</div>
|
|
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>  below_slope * x_lp_value - x_floor - x_floor * x_floor;</div>
|
|
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>  <span class="keywordflow">if</span> (min_lp_y >= y_lp_value + kMinCutViolation) {</div>
|
|
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>  <span class="comment">// cut: y >= below_slope * (x - x_floor) + x_floor ^ 2</span></div>
|
|
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>  <span class="comment">// : y >= below_slope * x - x_floor ^ 2 - x_floor</span></div>
|
|
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> below_cut;</div>
|
|
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>  below_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(y);</div>
|
|
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>  below_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(IntegerValue(1));</div>
|
|
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>  below_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(x);</div>
|
|
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>  below_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(-IntegerValue(below_slope));</div>
|
|
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>  below_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = IntegerValue(-x_floor - x_floor * x_floor);</div>
|
|
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>  below_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
|
|
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>  manager->AddCut(below_cut, <span class="stringliteral">"SquareLower"</span>, lp_values);</div>
|
|
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>  }</div>
|
|
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>  };</div>
|
|
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>  </div>
|
|
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>  <span class="keywordflow">return</span> result;</div>
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|
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span> }</div>
|
|
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>  </div>
|
|
<div class="line"><a name="l01303"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a19e26dd5481c4a596ad8e6458d13a25c"> 1303</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a19e26dd5481c4a596ad8e6458d13a25c">ImpliedBoundsProcessor::ProcessUpperBoundedConstraint</a>(</div>
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|
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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|
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>* cut)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>  <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a01eca8210872034b3bca100ad24ecb23">ProcessUpperBoundedConstraintWithSlackCreation</a>(</div>
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|
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>  <span class="comment">/*substitute_only_inner_variables=*/</span><span class="keyword">false</span>, IntegerVariable(0), lp_values,</div>
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|
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>  cut, <span class="keyword">nullptr</span>, <span class="keyword">nullptr</span>);</div>
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|
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span> }</div>
|
|
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>  </div>
|
|
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span> <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html">ImpliedBoundsProcessor::BestImpliedBoundInfo</a></div>
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|
<div class="line"><a name="l01312"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#abb0b7cc2e259fc8ebe8fd3dd55816b75"> 1312</a></span> <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#abb0b7cc2e259fc8ebe8fd3dd55816b75">ImpliedBoundsProcessor::GetCachedImpliedBoundInfo</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
|
|
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>  <span class="keyword">auto</span> it = cache_.find(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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|
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>  <span class="keywordflow">if</span> (it != cache_.end()) <span class="keywordflow">return</span> it->second;</div>
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|
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>  <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html">BestImpliedBoundInfo</a>();</div>
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|
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span> }</div>
|
|
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>  </div>
|
|
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span> <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html">ImpliedBoundsProcessor::BestImpliedBoundInfo</a></div>
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|
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span> ImpliedBoundsProcessor::ComputeBestImpliedBound(</div>
|
|
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>  IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
|
|
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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|
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>  std::vector<LinearConstraint>* implied_bound_cuts)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>  <span class="keyword">auto</span> it = cache_.find(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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|
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>  <span class="keywordflow">if</span> (it != cache_.end()) <span class="keywordflow">return</span> it->second;</div>
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|
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>  BestImpliedBoundInfo result;</div>
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|
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>  </div>
|
|
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>  <span class="keyword">const</span> IntegerValue lb = integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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|
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundEntry.html">ImpliedBoundEntry</a>& entry :</div>
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|
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>  implied_bounds_-><a class="code" href="classoperations__research_1_1sat_1_1ImpliedBounds.html#a1abcc20de9ebbf211ba0e97710b4be4d">GetImpliedBounds</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
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|
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>  <span class="comment">// Only process entries with a Boolean variable currently part of the LP</span></div>
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|
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>  <span class="comment">// we are considering for this cut.</span></div>
|
|
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>  <span class="comment">//</span></div>
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|
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>  <span class="comment">// TODO(user): the more we use cuts, the less it make sense to have a</span></div>
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|
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>  <span class="comment">// lot of small independent LPs.</span></div>
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|
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>  <span class="keywordflow">if</span> (!lp_vars_.contains(<a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(entry.literal_view))) {</div>
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|
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>  <span class="keywordflow">continue</span>;</div>
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|
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>  }</div>
|
|
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>  </div>
|
|
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>  <span class="comment">// The equation is X = lb + diff * Bool + Slack where Bool is in [0, 1]</span></div>
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|
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>  <span class="comment">// and slack in [0, ub - lb].</span></div>
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|
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>  <span class="keyword">const</span> IntegerValue diff = entry.lower_bound - lb;</div>
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|
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>  CHECK_GE(diff, 0);</div>
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|
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> bool_lp_value = entry.is_positive</div>
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|
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>  ? lp_values[entry.literal_view]</div>
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|
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>  : 1.0 - lp_values[entry.literal_view];</div>
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|
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> slack_lp_value =</div>
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|
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>  lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb) - bool_lp_value * <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(diff);</div>
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|
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>  </div>
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|
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>  <span class="comment">// If the implied bound equation is not respected, we just add it</span></div>
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|
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>  <span class="comment">// to implied_bound_cuts, and skip the entry for now.</span></div>
|
|
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>  <span class="keywordflow">if</span> (slack_lp_value < -1e-6) {</div>
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|
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>  <span class="keywordflow">if</span> (implied_bound_cuts != <span class="keyword">nullptr</span>) {</div>
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|
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>  LinearConstraint ib_cut;</div>
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|
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>  std::vector<std::pair<IntegerVariable, IntegerValue>> terms;</div>
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|
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>  ib_cut.lb = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>; <span class="comment">// Not relevant.</span></div>
|
|
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>  ib_cut.ub = IntegerValue(0);</div>
|
|
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>  <span class="keywordflow">if</span> (entry.is_positive) {</div>
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|
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>  <span class="comment">// X >= Indicator * (bound - lb) + lb</span></div>
|
|
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>  terms.push_back({entry.literal_view, diff});</div>
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|
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>  terms.push_back({<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(-1)});</div>
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|
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>  ib_cut.ub = -lb;</div>
|
|
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>  <span class="comment">// X >= -Indicator * (bound - lb) + bound</span></div>
|
|
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>  terms.push_back({entry.literal_view, -diff});</div>
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|
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>  terms.push_back({<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(-1)});</div>
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|
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>  ib_cut.ub = -entry.lower_bound;</div>
|
|
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>  }</div>
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|
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(&terms, &ib_cut);</div>
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|
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>  implied_bound_cuts->push_back(std::move(ib_cut));</div>
|
|
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>  }</div>
|
|
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>  }</div>
|
|
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>  </div>
|
|
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>  <span class="comment">// We look for tight implied bounds, and amongst the tightest one, we</span></div>
|
|
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>  <span class="comment">// prefer larger coefficient in front of the Boolean.</span></div>
|
|
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>  <span class="keywordflow">if</span> (slack_lp_value + 1e-4 < result.slack_lp_value ||</div>
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|
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>  (slack_lp_value < result.slack_lp_value + 1e-4 &&</div>
|
|
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>  diff > result.bound_diff)) {</div>
|
|
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>  result.bool_lp_value = bool_lp_value;</div>
|
|
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>  result.slack_lp_value = slack_lp_value;</div>
|
|
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>  </div>
|
|
<div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>  result.bound_diff = diff;</div>
|
|
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>  result.is_positive = entry.is_positive;</div>
|
|
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>  result.bool_var = entry.literal_view;</div>
|
|
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>  }</div>
|
|
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>  }</div>
|
|
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>  cache_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = result;</div>
|
|
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span> }</div>
|
|
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>  </div>
|
|
<div class="line"><a name="l01391"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a01eca8210872034b3bca100ad24ecb23"> 1391</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a01eca8210872034b3bca100ad24ecb23">ImpliedBoundsProcessor::ProcessUpperBoundedConstraintWithSlackCreation</a>(</div>
|
|
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>  <span class="keywordtype">bool</span> substitute_only_inner_variables, IntegerVariable first_slack,</div>
|
|
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
|
|
<div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>* cut, std::vector<SlackInfo>* slack_infos,</div>
|
|
<div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>  std::vector<LinearConstraint>* implied_bound_cuts)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>  tmp_terms_.clear();</div>
|
|
<div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>  IntegerValue new_ub = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
|
|
<div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>  <span class="keywordtype">bool</span> changed = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>  </div>
|
|
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>  <span class="comment">// TODO(user): we could relax a bit this test.</span></div>
|
|
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> overflow_detection = 0;</div>
|
|
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>  </div>
|
|
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> size = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
|
|
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div>
|
|
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>  IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
|
|
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>  IntegerValue coeff = cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
|
|
<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>  </div>
|
|
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>  <span class="comment">// Starts by positive coefficient.</span></div>
|
|
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>  <span class="comment">// TODO(user): Not clear this is best.</span></div>
|
|
<div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>  <span class="keywordflow">if</span> (coeff < 0) {</div>
|
|
<div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>  coeff = -coeff;</div>
|
|
<div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>  <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <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="l01413"></a><span class="lineno"> 1413</span>  }</div>
|
|
<div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>  </div>
|
|
<div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>  <span class="comment">// Find the best implied bound to use.</span></div>
|
|
<div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>  <span class="comment">// TODO(user): We could also use implied upper bound, that is try with</span></div>
|
|
<div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>  <span class="comment">// NegationOf(var).</span></div>
|
|
<div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html">BestImpliedBoundInfo</a> info =</div>
|
|
<div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>  ComputeBestImpliedBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, lp_values, implied_bound_cuts);</div>
|
|
<div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>  {</div>
|
|
<div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>  <span class="comment">// This make sure the implied bound for NegationOf(var) is "cached" so</span></div>
|
|
<div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>  <span class="comment">// that GetCachedImpliedBoundInfo() will work. It will also add any</span></div>
|
|
<div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>  <span class="comment">// relevant implied bound cut.</span></div>
|
|
<div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>  <span class="comment">// TODO(user): this is a bit hacky. Find a cleaner way.</span></div>
|
|
<div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>  ComputeBestImpliedBound(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>), lp_values, implied_bound_cuts);</div>
|
|
<div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>  }</div>
|
|
<div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>  </div>
|
|
<div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> old_size = tmp_terms_.size();</div>
|
|
<div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>  </div>
|
|
<div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>  <span class="comment">// Shall we keep the original term ?</span></div>
|
|
<div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>  <span class="keywordtype">bool</span> keep_term = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>  <span class="keywordflow">if</span> (info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) keep_term = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(std::abs(coeff.value()), info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>.value()) ==</div>
|
|
<div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>  <a class="code" href="integral__types_8h.html#a74ea76ea27f48fb1b6e148e1577b3719">kint64max</a>) {</div>
|
|
<div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>  keep_term = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>  }</div>
|
|
<div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>  </div>
|
|
<div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>  <span class="comment">// TODO(user): On some problem, not replacing the variable at their bound</span></div>
|
|
<div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>  <span class="comment">// by an implied bounds seems beneficial. This is especially the case on</span></div>
|
|
<div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>  <span class="comment">// g200x740.mps.gz</span></div>
|
|
<div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>  <span class="comment">// Note that in ComputeCut() the variable with an LP value at the bound do</span></div>
|
|
<div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>  <span class="comment">// not contribute to the cut efficacity (no loss) but do contribute to the</span></div>
|
|
<div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>  <span class="comment">// various heuristic based on the coefficient magnitude.</span></div>
|
|
<div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>  <span class="keywordflow">if</span> (substitute_only_inner_variables) {</div>
|
|
<div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>  <span class="keyword">const</span> IntegerValue lb = integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>  <span class="keyword">const</span> IntegerValue ub = integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>  <span class="keywordflow">if</span> (lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb) < 1e-2) keep_term = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub) - lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] < 1e-2) keep_term = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>  }</div>
|
|
<div class="line"><a name="l01452"></a><span class="lineno"> 1452</span>  </div>
|
|
<div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>  <span class="comment">// This is when we do not add slack.</span></div>
|
|
<div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>  <span class="keywordflow">if</span> (slack_infos == <span class="keyword">nullptr</span>) {</div>
|
|
<div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>  <span class="comment">// We do not want to loose anything, so we only replace if the slack lp is</span></div>
|
|
<div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>  <span class="comment">// zero.</span></div>
|
|
<div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>  <span class="keywordflow">if</span> (info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#ac11e010c276514d6402c772d0651f82f">slack_lp_value</a> > 1e-6) keep_term = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>  }</div>
|
|
<div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>  </div>
|
|
<div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>  <span class="keywordflow">if</span> (keep_term) {</div>
|
|
<div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>  tmp_terms_.push_back({<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, coeff});</div>
|
|
<div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>  <span class="comment">// Substitute.</span></div>
|
|
<div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>  <span class="keyword">const</span> IntegerValue lb = integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>  <span class="keyword">const</span> IntegerValue ub = integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>  </div>
|
|
<div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>  <a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html">SlackInfo</a> slack_info;</div>
|
|
<div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#adb47ac0cff7c9dc4dc5f101d38a91185">lp_value</a> = info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#ac11e010c276514d6402c772d0651f82f">slack_lp_value</a>;</div>
|
|
<div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = 0;</div>
|
|
<div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = ub - lb;</div>
|
|
<div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>  </div>
|
|
<div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>  <span class="keywordflow">if</span> (info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a6d2822d5e07c3716efcdf73a4ae5eafc">is_positive</a>) {</div>
|
|
<div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>  <span class="comment">// X = Indicator * diff + lb + Slack</span></div>
|
|
<div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>  tmp_terms_.push_back({info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a>, coeff * info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>});</div>
|
|
<div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(-coeff, lb, &new_ub)) {</div>
|
|
<div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>  VLOG(2) << <span class="stringliteral">"Overflow"</span>;</div>
|
|
<div class="line"><a name="l01477"></a><span class="lineno"> 1477</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>  }</div>
|
|
<div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>  <span class="keywordflow">if</span> (slack_infos != <span class="keyword">nullptr</span>) {</div>
|
|
<div class="line"><a name="l01480"></a><span class="lineno"> 1480</span>  tmp_terms_.push_back({first_slack, coeff});</div>
|
|
<div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>  first_slack += 2;</div>
|
|
<div class="line"><a name="l01482"></a><span class="lineno"> 1482</span>  </div>
|
|
<div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>  <span class="comment">// slack = X - Indicator * info.bound_diff - lb;</span></div>
|
|
<div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a250583d63e8184c6f9f4deba1125e6bb">terms</a>.push_back({<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1)});</div>
|
|
<div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a250583d63e8184c6f9f4deba1125e6bb">terms</a>.push_back({info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a>, -info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>});</div>
|
|
<div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = -lb;</div>
|
|
<div class="line"><a name="l01487"></a><span class="lineno"> 1487</span>  slack_infos->push_back(slack_info);</div>
|
|
<div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>  }</div>
|
|
<div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>  <span class="comment">// X = (1 - Indicator) * (diff) + lb + Slack</span></div>
|
|
<div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>  <span class="comment">// X = -Indicator * (diff) + lb + diff + Slack</span></div>
|
|
<div class="line"><a name="l01492"></a><span class="lineno"> 1492</span>  tmp_terms_.push_back({info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a>, -coeff * info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>});</div>
|
|
<div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(-coeff, lb + info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>, &new_ub)) {</div>
|
|
<div class="line"><a name="l01494"></a><span class="lineno"> 1494</span>  VLOG(2) << <span class="stringliteral">"Overflow"</span>;</div>
|
|
<div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>  }</div>
|
|
<div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>  <span class="keywordflow">if</span> (slack_infos != <span class="keyword">nullptr</span>) {</div>
|
|
<div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>  tmp_terms_.push_back({first_slack, coeff});</div>
|
|
<div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>  first_slack += 2;</div>
|
|
<div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>  </div>
|
|
<div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>  <span class="comment">// slack = X + Indicator * info.bound_diff - lb - diff;</span></div>
|
|
<div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a250583d63e8184c6f9f4deba1125e6bb">terms</a>.push_back({<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1)});</div>
|
|
<div class="line"><a name="l01503"></a><span class="lineno"> 1503</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a250583d63e8184c6f9f4deba1125e6bb">terms</a>.push_back({info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">bool_var</a>, +info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>});</div>
|
|
<div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>  slack_info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> = -lb - info.<a class="code" href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">bound_diff</a>;</div>
|
|
<div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>  slack_infos->push_back(slack_info);</div>
|
|
<div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>  }</div>
|
|
<div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>  }</div>
|
|
<div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>  changed = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>  }</div>
|
|
<div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>  </div>
|
|
<div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>  <span class="comment">// Add all the new terms coefficient to the overflow detection to avoid</span></div>
|
|
<div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>  <span class="comment">// issue when merging terms refering to the same variable.</span></div>
|
|
<div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = old_size; i < tmp_terms_.size(); ++i) {</div>
|
|
<div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>  overflow_detection =</div>
|
|
<div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>  <a class="code" href="namespaceoperations__research.html#a99264812cf177270e521f226a5c012c3">CapAdd</a>(overflow_detection, std::abs(tmp_terms_[i].second.value()));</div>
|
|
<div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>  }</div>
|
|
<div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>  }</div>
|
|
<div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>  </div>
|
|
<div class="line"><a name="l01519"></a><span class="lineno"> 1519</span>  <span class="keywordflow">if</span> (overflow_detection >= <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
|
|
<div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>  VLOG(2) << <span class="stringliteral">"Overflow"</span>;</div>
|
|
<div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>  }</div>
|
|
<div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>  <span class="keywordflow">if</span> (!changed) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>  </div>
|
|
<div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>  <span class="comment">// Update the cut.</span></div>
|
|
<div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>  <span class="comment">// Note that because of our overflow_detection variable, there should be</span></div>
|
|
<div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>  <span class="comment">// no integer overflow when we merge identical terms.</span></div>
|
|
<div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>; <span class="comment">// Not relevant.</span></div>
|
|
<div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>  cut-><a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = new_ub;</div>
|
|
<div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(&tmp_terms_, cut);</div>
|
|
<div class="line"><a name="l01532"></a><span class="lineno"> 1532</span> }</div>
|
|
<div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>  </div>
|
|
<div class="line"><a name="l01534"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#ab1b4642341faf5ff972b02f034d88f21"> 1534</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#ab1b4642341faf5ff972b02f034d88f21">ImpliedBoundsProcessor::DebugSlack</a>(IntegerVariable first_slack,</div>
|
|
<div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& initial_cut,</div>
|
|
<div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a>& cut,</div>
|
|
<div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>  <span class="keyword">const</span> std::vector<SlackInfo>& info) {</div>
|
|
<div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>  tmp_terms_.clear();</div>
|
|
<div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>  IntegerValue new_ub = cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>;</div>
|
|
<div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
|
|
<div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>  <span class="comment">// Simple copy for non-slack variables.</span></div>
|
|
<div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>  <span class="keywordflow">if</span> (cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i] < first_slack) {</div>
|
|
<div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>  tmp_terms_.push_back({cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]});</div>
|
|
<div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>  }</div>
|
|
<div class="line"><a name="l01546"></a><span class="lineno"> 1546</span>  </div>
|
|
<div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>  <span class="comment">// Replace slack by its definition.</span></div>
|
|
<div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>  <span class="keyword">const</span> IntegerValue multiplier = cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
|
|
<div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = (cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i].value() - first_slack.value()) / 2;</div>
|
|
<div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair<IntegerVariable, IntegerValue>& term :</div>
|
|
<div class="line"><a name="l01551"></a><span class="lineno"> 1551</span>  info[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>].terms) {</div>
|
|
<div class="line"><a name="l01552"></a><span class="lineno"> 1552</span>  tmp_terms_.push_back({term.first, term.second * multiplier});</div>
|
|
<div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>  }</div>
|
|
<div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>  new_ub -= multiplier * info[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>].offset;</div>
|
|
<div class="line"><a name="l01555"></a><span class="lineno"> 1555</span>  }</div>
|
|
<div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>  </div>
|
|
<div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> tmp_cut;</div>
|
|
<div class="line"><a name="l01558"></a><span class="lineno"> 1558</span>  tmp_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>; <span class="comment">// Not relevant.</span></div>
|
|
<div class="line"><a name="l01559"></a><span class="lineno"> 1559</span>  tmp_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = new_ub;</div>
|
|
<div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(&tmp_terms_, &tmp_cut);</div>
|
|
<div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">MakeAllVariablesPositive</a>(&tmp_cut);</div>
|
|
<div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>  </div>
|
|
<div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>  <span class="comment">// We need to canonicalize the initial_cut too for comparison. Note that we</span></div>
|
|
<div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>  <span class="comment">// only use this for debug, so we don't care too much about the memory and</span></div>
|
|
<div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>  <span class="comment">// extra time.</span></div>
|
|
<div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>  <span class="comment">// TODO(user): Expose CanonicalizeConstraint() from the manager.</span></div>
|
|
<div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> tmp_copy;</div>
|
|
<div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>  tmp_terms_.clear();</div>
|
|
<div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < initial_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size(); ++i) {</div>
|
|
<div class="line"><a name="l01570"></a><span class="lineno"> 1570</span>  tmp_terms_.push_back({initial_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i], initial_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i]});</div>
|
|
<div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>  }</div>
|
|
<div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>  tmp_copy.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>; <span class="comment">// Not relevant.</span></div>
|
|
<div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>  tmp_copy.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = new_ub;</div>
|
|
<div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">CleanTermsAndFillConstraint</a>(&tmp_terms_, &tmp_copy);</div>
|
|
<div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">MakeAllVariablesPositive</a>(&tmp_copy);</div>
|
|
<div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>  </div>
|
|
<div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>  <span class="keywordflow">if</span> (tmp_cut == tmp_copy) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>  </div>
|
|
<div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>  LOG(INFO) << first_slack;</div>
|
|
<div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>  LOG(INFO) << tmp_copy.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>();</div>
|
|
<div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>  LOG(INFO) << cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>();</div>
|
|
<div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>  LOG(INFO) << tmp_cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>();</div>
|
|
<div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01584"></a><span class="lineno"> 1584</span> }</div>
|
|
<div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>  </div>
|
|
<div class="line"><a name="l01586"></a><span class="lineno"> 1586</span> <span class="keyword">namespace </span>{</div>
|
|
<div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>  </div>
|
|
<div class="line"><a name="l01588"></a><span class="lineno"> 1588</span> <span class="keywordtype">void</span> TryToGenerateAllDiffCut(</div>
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<div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>  <span class="keyword">const</span> std::vector<std::pair<double, IntegerVariable>>& sorted_vars_lp,</div>
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<div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>& integer_trail,</div>
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|
<div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
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<div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>  <a class="code" href="classoperations__research_1_1Domain.html">Domain</a> current_union;</div>
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<div class="line"><a name="l01594"></a><span class="lineno"> 1594</span>  std::vector<IntegerVariable> current_set_vars;</div>
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<div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>  <span class="keywordtype">double</span> sum = 0.0;</div>
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<div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> value_var : sorted_vars_lp) {</div>
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|
<div class="line"><a name="l01597"></a><span class="lineno"> 1597</span>  sum += value_var.first;</div>
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<div class="line"><a name="l01598"></a><span class="lineno"> 1598</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = value_var.second;</div>
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|
<div class="line"><a name="l01599"></a><span class="lineno"> 1599</span>  <a class="code" href="classoperations__research_1_1Domain.html">Domain</a> var_domain = integer_trail.<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html#af4303d31360f06c50729f156b1fbc2a9">InitialVariableDomain</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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|
<div class="line"><a name="l01600"></a><span class="lineno"> 1600</span>  <span class="comment">// TODO(user): The union of the domain of the variable being considered</span></div>
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|
<div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>  <span class="comment">// does not give the tightest bounds, try to get better bounds.</span></div>
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|
<div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>  current_union = current_union.<a class="code" href="classoperations__research_1_1Domain.html#a5919f86aede74172b7fea05ebdb58975">UnionWith</a>(var_domain);</div>
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|
<div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>  current_set_vars.push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> required_min_sum =</div>
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|
<div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>  <a class="code" href="namespaceoperations__research.html#a28522d479617725f3539d537ebebcda3">SumOfKMinValueInDomain</a>(current_union, current_set_vars.size());</div>
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|
<div class="line"><a name="l01606"></a><span class="lineno"> 1606</span>  <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> required_max_sum =</div>
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|
<div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>  <a class="code" href="namespaceoperations__research.html#abb2639c7a4188d2f2121f16ee217aca3">SumOfKMaxValueInDomain</a>(current_union, current_set_vars.size());</div>
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|
<div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>  <span class="keywordflow">if</span> (sum < required_min_sum || sum > required_max_sum) {</div>
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|
<div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>  <a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html">LinearConstraint</a> cut;</div>
|
|
<div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>  <span class="keywordflow">for</span> (IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : current_set_vars) {</div>
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<div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div>
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|
<div class="line"><a name="l01612"></a><span class="lineno"> 1612</span>  }</div>
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|
<div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = IntegerValue(required_min_sum);</div>
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|
<div class="line"><a name="l01614"></a><span class="lineno"> 1614</span>  cut.<a class="code" href="structoperations__research_1_1sat_1_1LinearConstraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = IntegerValue(required_max_sum);</div>
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|
<div class="line"><a name="l01615"></a><span class="lineno"> 1615</span>  manager-><a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html#ad7adb503e78ae317a4406bdaca027494">AddCut</a>(cut, <span class="stringliteral">"all_diff"</span>, lp_values);</div>
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|
<div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>  <span class="comment">// NOTE: We can extend the current set but it is more helpful to generate</span></div>
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|
<div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>  <span class="comment">// the cut on a different set of variables so we reset the counters.</span></div>
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|
<div class="line"><a name="l01618"></a><span class="lineno"> 1618</span>  sum = 0.0;</div>
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|
<div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>  current_set_vars.clear();</div>
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|
<div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>  current_union = <a class="code" href="classoperations__research_1_1Domain.html">Domain</a>();</div>
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|
<div class="line"><a name="l01621"></a><span class="lineno"> 1621</span>  }</div>
|
|
<div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>  }</div>
|
|
<div class="line"><a name="l01623"></a><span class="lineno"> 1623</span> }</div>
|
|
<div class="line"><a name="l01624"></a><span class="lineno"> 1624</span>  </div>
|
|
<div class="line"><a name="l01625"></a><span class="lineno"> 1625</span> } <span class="comment">// namespace</span></div>
|
|
<div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>  </div>
|
|
<div class="line"><a name="l01627"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7feb76be212dca01ffe7ba3a0391e118"> 1627</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a7feb76be212dca01ffe7ba3a0391e118">CreateAllDifferentCutGenerator</a>(</div>
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|
<div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& vars, <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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|
<div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
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|
<div class="line"><a name="l01630"></a><span class="lineno"> 1630</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = vars;</div>
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|
<div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
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|
<div class="line"><a name="l01632"></a><span class="lineno"> 1632</span>  <a class="code" href="classoperations__research_1_1sat_1_1Trail.html">Trail</a>* trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1Trail.html">Trail</a>>();</div>
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|
<div class="line"><a name="l01633"></a><span class="lineno"> 1633</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> =</div>
|
|
<div class="line"><a name="l01634"></a><span class="lineno"> 1634</span>  [vars, integer_trail, trail](</div>
|
|
<div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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|
<div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
|
|
<div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>  <span class="comment">// These cuts work at all levels but the generator adds too many cuts on</span></div>
|
|
<div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>  <span class="comment">// some instances and degrade the performance so we only use it at level</span></div>
|
|
<div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>  <span class="comment">// 0.</span></div>
|
|
<div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>  <span class="keywordflow">if</span> (trail->CurrentDecisionLevel() > 0) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>  std::vector<std::pair<double, IntegerVariable>> sorted_vars;</div>
|
|
<div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div>
|
|
<div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>  <span class="keywordflow">if</span> (integer_trail->LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) ==</div>
|
|
<div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>  integer_trail->LevelZeroUpperBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
|
|
<div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>  }</div>
|
|
<div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>  sorted_vars.push_back(std::make_pair(lp_values[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>], <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
|
|
<div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>  }</div>
|
|
<div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>  std::sort(sorted_vars.begin(), sorted_vars.end());</div>
|
|
<div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>  TryToGenerateAllDiffCut(sorted_vars, *integer_trail, lp_values,</div>
|
|
<div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>  manager);</div>
|
|
<div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>  <span class="comment">// Other direction.</span></div>
|
|
<div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>  std::reverse(sorted_vars.begin(), sorted_vars.end());</div>
|
|
<div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>  TryToGenerateAllDiffCut(sorted_vars, *integer_trail, lp_values,</div>
|
|
<div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>  manager);</div>
|
|
<div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>  };</div>
|
|
<div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>  VLOG(1) << <span class="stringliteral">"Created all_diff cut generator of size: "</span> << vars.size();</div>
|
|
<div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l01659"></a><span class="lineno"> 1659</span> }</div>
|
|
<div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>  </div>
|
|
<div class="line"><a name="l01661"></a><span class="lineno"> 1661</span> <span class="keyword">namespace </span>{</div>
|
|
<div class="line"><a name="l01662"></a><span class="lineno"> 1662</span> <span class="comment">// Returns max((w2i - w1i)*Li, (w2i - w1i)*Ui).</span></div>
|
|
<div class="line"><a name="l01663"></a><span class="lineno"> 1663</span> IntegerValue MaxCornerDifference(<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
|
|
<div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>  <span class="keyword">const</span> IntegerValue w1_i,</div>
|
|
<div class="line"><a name="l01665"></a><span class="lineno"> 1665</span>  <span class="keyword">const</span> IntegerValue w2_i,</div>
|
|
<div class="line"><a name="l01666"></a><span class="lineno"> 1666</span>  <span class="keyword">const</span> IntegerTrail& integer_trail) {</div>
|
|
<div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>  <span class="keyword">const</span> IntegerValue lb = integer_trail.LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01668"></a><span class="lineno"> 1668</span>  <span class="keyword">const</span> IntegerValue ub = integer_trail.LevelZeroUpperBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
|
|
<div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>  <span class="keywordflow">return</span> <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>((w2_i - w1_i) * lb, (w2_i - w1_i) * ub);</div>
|
|
<div class="line"><a name="l01670"></a><span class="lineno"> 1670</span> }</div>
|
|
<div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>  </div>
|
|
<div class="line"><a name="l01672"></a><span class="lineno"> 1672</span> <span class="comment">// This is the coefficient of zk in the cut, where k = max_index.</span></div>
|
|
<div class="line"><a name="l01673"></a><span class="lineno"> 1673</span> <span class="comment">// MPlusCoefficient_ki = max((wki - wI(i)i) * Li,</span></div>
|
|
<div class="line"><a name="l01674"></a><span class="lineno"> 1674</span> <span class="comment">// (wki - wI(i)i) * Ui)</span></div>
|
|
<div class="line"><a name="l01675"></a><span class="lineno"> 1675</span> <span class="comment">// = max corner difference for variable i,</span></div>
|
|
<div class="line"><a name="l01676"></a><span class="lineno"> 1676</span> <span class="comment">// target expr I(i), max expr k.</span></div>
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|
<div class="line"><a name="l01677"></a><span class="lineno"> 1677</span> <span class="comment">// The coefficient of zk is Sum(i=1..n)(MPlusCoefficient_ki) + bk</span></div>
|
|
<div class="line"><a name="l01678"></a><span class="lineno"> 1678</span> IntegerValue MPlusCoefficient(</div>
|
|
<div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& x_vars,</div>
|
|
<div class="line"><a name="l01680"></a><span class="lineno"> 1680</span>  <span class="keyword">const</span> std::vector<LinearExpression>& exprs,</div>
|
|
<div class="line"><a name="l01681"></a><span class="lineno"> 1681</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, int></a>& variable_partition,</div>
|
|
<div class="line"><a name="l01682"></a><span class="lineno"> 1682</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> max_index, <span class="keyword">const</span> IntegerTrail& integer_trail) {</div>
|
|
<div class="line"><a name="l01683"></a><span class="lineno"> 1683</span>  IntegerValue coeff = exprs[max_index].offset;</div>
|
|
<div class="line"><a name="l01684"></a><span class="lineno"> 1684</span>  <span class="comment">// TODO(user): This algo is quadratic since GetCoefficientOfPositiveVar()</span></div>
|
|
<div class="line"><a name="l01685"></a><span class="lineno"> 1685</span>  <span class="comment">// is linear. This can be optimized (better complexity) if needed.</span></div>
|
|
<div class="line"><a name="l01686"></a><span class="lineno"> 1686</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : x_vars) {</div>
|
|
<div class="line"><a name="l01687"></a><span class="lineno"> 1687</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> target_index = variable_partition[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
|
|
<div class="line"><a name="l01688"></a><span class="lineno"> 1688</span>  <span class="keywordflow">if</span> (max_index != target_index) {</div>
|
|
<div class="line"><a name="l01689"></a><span class="lineno"> 1689</span>  coeff += MaxCornerDifference(</div>
|
|
<div class="line"><a name="l01690"></a><span class="lineno"> 1690</span>  <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, exprs[target_index]),</div>
|
|
<div class="line"><a name="l01691"></a><span class="lineno"> 1691</span>  <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, exprs[max_index]), integer_trail);</div>
|
|
<div class="line"><a name="l01692"></a><span class="lineno"> 1692</span>  }</div>
|
|
<div class="line"><a name="l01693"></a><span class="lineno"> 1693</span>  }</div>
|
|
<div class="line"><a name="l01694"></a><span class="lineno"> 1694</span>  <span class="keywordflow">return</span> coeff;</div>
|
|
<div class="line"><a name="l01695"></a><span class="lineno"> 1695</span> }</div>
|
|
<div class="line"><a name="l01696"></a><span class="lineno"> 1696</span>  </div>
|
|
<div class="line"><a name="l01697"></a><span class="lineno"> 1697</span> <span class="comment">// Compute the value of</span></div>
|
|
<div class="line"><a name="l01698"></a><span class="lineno"> 1698</span> <span class="comment">// rhs = wI(i)i * xi + Sum(k=1..d)(MPlusCoefficient_ki * zk)</span></div>
|
|
<div class="line"><a name="l01699"></a><span class="lineno"> 1699</span> <span class="comment">// for variable xi for given target index I(i).</span></div>
|
|
<div class="line"><a name="l01700"></a><span class="lineno"> 1700</span> <span class="keywordtype">double</span> ComputeContribution(</div>
|
|
<div class="line"><a name="l01701"></a><span class="lineno"> 1701</span>  <span class="keyword">const</span> IntegerVariable xi_var, <span class="keyword">const</span> std::vector<IntegerVariable>& z_vars,</div>
|
|
<div class="line"><a name="l01702"></a><span class="lineno"> 1702</span>  <span class="keyword">const</span> std::vector<LinearExpression>& exprs,</div>
|
|
<div class="line"><a name="l01703"></a><span class="lineno"> 1703</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
|
|
<div class="line"><a name="l01704"></a><span class="lineno"> 1704</span>  <span class="keyword">const</span> IntegerTrail& integer_trail, <span class="keyword">const</span> <span class="keywordtype">int</span> target_index) {</div>
|
|
<div class="line"><a name="l01705"></a><span class="lineno"> 1705</span>  CHECK_GE(target_index, 0);</div>
|
|
<div class="line"><a name="l01706"></a><span class="lineno"> 1706</span>  CHECK_LT(target_index, exprs.size());</div>
|
|
<div class="line"><a name="l01707"></a><span class="lineno"> 1707</span>  <span class="keyword">const</span> LinearExpression& target_expr = exprs[target_index];</div>
|
|
<div class="line"><a name="l01708"></a><span class="lineno"> 1708</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> xi_value = lp_values[xi_var];</div>
|
|
<div class="line"><a name="l01709"></a><span class="lineno"> 1709</span>  <span class="keyword">const</span> IntegerValue wt_i = <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(xi_var, target_expr);</div>
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|
<div class="line"><a name="l01710"></a><span class="lineno"> 1710</span>  <span class="keywordtype">double</span> contrib = wt_i.value() * xi_value;</div>
|
|
<div class="line"><a name="l01711"></a><span class="lineno"> 1711</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> expr_index = 0; expr_index < exprs.size(); ++expr_index) {</div>
|
|
<div class="line"><a name="l01712"></a><span class="lineno"> 1712</span>  <span class="keywordflow">if</span> (expr_index == target_index) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01713"></a><span class="lineno"> 1713</span>  <span class="keyword">const</span> LinearExpression& max_expr = exprs[expr_index];</div>
|
|
<div class="line"><a name="l01714"></a><span class="lineno"> 1714</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> z_max_value = lp_values[z_vars[expr_index]];</div>
|
|
<div class="line"><a name="l01715"></a><span class="lineno"> 1715</span>  <span class="keyword">const</span> IntegerValue corner_value = MaxCornerDifference(</div>
|
|
<div class="line"><a name="l01716"></a><span class="lineno"> 1716</span>  xi_var, wt_i, <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(xi_var, max_expr),</div>
|
|
<div class="line"><a name="l01717"></a><span class="lineno"> 1717</span>  integer_trail);</div>
|
|
<div class="line"><a name="l01718"></a><span class="lineno"> 1718</span>  contrib += corner_value.value() * z_max_value;</div>
|
|
<div class="line"><a name="l01719"></a><span class="lineno"> 1719</span>  }</div>
|
|
<div class="line"><a name="l01720"></a><span class="lineno"> 1720</span>  <span class="keywordflow">return</span> contrib;</div>
|
|
<div class="line"><a name="l01721"></a><span class="lineno"> 1721</span> }</div>
|
|
<div class="line"><a name="l01722"></a><span class="lineno"> 1722</span> } <span class="comment">// namespace</span></div>
|
|
<div class="line"><a name="l01723"></a><span class="lineno"> 1723</span>  </div>
|
|
<div class="line"><a name="l01724"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7fea62548e11ae728e506874f767bdd3"> 1724</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a7fea62548e11ae728e506874f767bdd3">CreateLinMaxCutGenerator</a>(</div>
|
|
<div class="line"><a name="l01725"></a><span class="lineno"> 1725</span>  <span class="keyword">const</span> IntegerVariable target, <span class="keyword">const</span> std::vector<LinearExpression>& exprs,</div>
|
|
<div class="line"><a name="l01726"></a><span class="lineno"> 1726</span>  <span class="keyword">const</span> std::vector<IntegerVariable>& z_vars, <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a name="l01727"></a><span class="lineno"> 1727</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
|
|
<div class="line"><a name="l01728"></a><span class="lineno"> 1728</span>  std::vector<IntegerVariable> x_vars;</div>
|
|
<div class="line"><a name="l01729"></a><span class="lineno"> 1729</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = {target};</div>
|
|
<div class="line"><a name="l01730"></a><span class="lineno"> 1730</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_exprs = exprs.size();</div>
|
|
<div class="line"><a name="l01731"></a><span class="lineno"> 1731</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_exprs; ++i) {</div>
|
|
<div class="line"><a name="l01732"></a><span class="lineno"> 1732</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(z_vars[i]);</div>
|
|
<div class="line"><a name="l01733"></a><span class="lineno"> 1733</span>  x_vars.insert(x_vars.end(), exprs[i].vars.begin(), exprs[i].vars.end());</div>
|
|
<div class="line"><a name="l01734"></a><span class="lineno"> 1734</span>  }</div>
|
|
<div class="line"><a name="l01735"></a><span class="lineno"> 1735</span>  <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&x_vars);</div>
|
|
<div class="line"><a name="l01736"></a><span class="lineno"> 1736</span>  <span class="comment">// All expressions should only contain positive variables.</span></div>
|
|
<div class="line"><a name="l01737"></a><span class="lineno"> 1737</span>  DCHECK(std::all_of(x_vars.begin(), x_vars.end(), [](IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
|
|
<div class="line"><a name="l01738"></a><span class="lineno"> 1738</span>  return VariableIsPositive(var);</div>
|
|
<div class="line"><a name="l01739"></a><span class="lineno"> 1739</span>  }));</div>
|
|
<div class="line"><a name="l01740"></a><span class="lineno"> 1740</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.insert(result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.end(), x_vars.begin(), x_vars.end());</div>
|
|
<div class="line"><a name="l01741"></a><span class="lineno"> 1741</span>  </div>
|
|
<div class="line"><a name="l01742"></a><span class="lineno"> 1742</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
|
|
<div class="line"><a name="l01743"></a><span class="lineno"> 1743</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> =</div>
|
|
<div class="line"><a name="l01744"></a><span class="lineno"> 1744</span>  [x_vars, z_vars, target, num_exprs, exprs, integer_trail, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>](</div>
|
|
<div class="line"><a name="l01745"></a><span class="lineno"> 1745</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
|
|
<div class="line"><a name="l01746"></a><span class="lineno"> 1746</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
|
|
<div class="line"><a name="l01747"></a><span class="lineno"> 1747</span>  <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, int></a> variable_partition(</div>
|
|
<div class="line"><a name="l01748"></a><span class="lineno"> 1748</span>  lp_values.size(), -1);</div>
|
|
<div class="line"><a name="l01749"></a><span class="lineno"> 1749</span>  <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a> variable_partition_contrib(</div>
|
|
<div class="line"><a name="l01750"></a><span class="lineno"> 1750</span>  lp_values.size(), std::numeric_limits<double>::infinity());</div>
|
|
<div class="line"><a name="l01751"></a><span class="lineno"> 1751</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> expr_index = 0; expr_index < num_exprs; ++expr_index) {</div>
|
|
<div class="line"><a name="l01752"></a><span class="lineno"> 1752</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : x_vars) {</div>
|
|
<div class="line"><a name="l01753"></a><span class="lineno"> 1753</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> contribution = ComputeContribution(</div>
|
|
<div class="line"><a name="l01754"></a><span class="lineno"> 1754</span>  <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, z_vars, exprs, lp_values, *integer_trail, expr_index);</div>
|
|
<div class="line"><a name="l01755"></a><span class="lineno"> 1755</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> prev_contribution = variable_partition_contrib[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
|
|
<div class="line"><a name="l01756"></a><span class="lineno"> 1756</span>  <span class="keywordflow">if</span> (contribution < prev_contribution) {</div>
|
|
<div class="line"><a name="l01757"></a><span class="lineno"> 1757</span>  variable_partition[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = expr_index;</div>
|
|
<div class="line"><a name="l01758"></a><span class="lineno"> 1758</span>  variable_partition_contrib[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = contribution;</div>
|
|
<div class="line"><a name="l01759"></a><span class="lineno"> 1759</span>  }</div>
|
|
<div class="line"><a name="l01760"></a><span class="lineno"> 1760</span>  }</div>
|
|
<div class="line"><a name="l01761"></a><span class="lineno"> 1761</span>  }</div>
|
|
<div class="line"><a name="l01762"></a><span class="lineno"> 1762</span>  </div>
|
|
<div class="line"><a name="l01763"></a><span class="lineno"> 1763</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html">LinearConstraintBuilder</a> cut(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <span class="comment">/*lb=*/</span>IntegerValue(0),</div>
|
|
<div class="line"><a name="l01764"></a><span class="lineno"> 1764</span>  <span class="comment">/*ub=*/</span><a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
|
|
<div class="line"><a name="l01765"></a><span class="lineno"> 1765</span>  <span class="keywordtype">double</span> violation = lp_values[target];</div>
|
|
<div class="line"><a name="l01766"></a><span class="lineno"> 1766</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(target, IntegerValue(-1));</div>
|
|
<div class="line"><a name="l01767"></a><span class="lineno"> 1767</span>  </div>
|
|
<div class="line"><a name="l01768"></a><span class="lineno"> 1768</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable xi_var : x_vars) {</div>
|
|
<div class="line"><a name="l01769"></a><span class="lineno"> 1769</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> input_index = variable_partition[xi_var];</div>
|
|
<div class="line"><a name="l01770"></a><span class="lineno"> 1770</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1LinearExpression.html">LinearExpression</a>& expr = exprs[input_index];</div>
|
|
<div class="line"><a name="l01771"></a><span class="lineno"> 1771</span>  <span class="keyword">const</span> IntegerValue coeff = <a class="code" href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">GetCoefficientOfPositiveVar</a>(xi_var, expr);</div>
|
|
<div class="line"><a name="l01772"></a><span class="lineno"> 1772</span>  <span class="keywordflow">if</span> (coeff != IntegerValue(0)) {</div>
|
|
<div class="line"><a name="l01773"></a><span class="lineno"> 1773</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(xi_var, coeff);</div>
|
|
<div class="line"><a name="l01774"></a><span class="lineno"> 1774</span>  }</div>
|
|
<div class="line"><a name="l01775"></a><span class="lineno"> 1775</span>  violation -= coeff.value() * lp_values[xi_var];</div>
|
|
<div class="line"><a name="l01776"></a><span class="lineno"> 1776</span>  }</div>
|
|
<div class="line"><a name="l01777"></a><span class="lineno"> 1777</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> expr_index = 0; expr_index < num_exprs; ++expr_index) {</div>
|
|
<div class="line"><a name="l01778"></a><span class="lineno"> 1778</span>  <span class="keyword">const</span> IntegerVariable z_var = z_vars[expr_index];</div>
|
|
<div class="line"><a name="l01779"></a><span class="lineno"> 1779</span>  <span class="keyword">const</span> IntegerValue z_coeff = MPlusCoefficient(</div>
|
|
<div class="line"><a name="l01780"></a><span class="lineno"> 1780</span>  x_vars, exprs, variable_partition, expr_index, *integer_trail);</div>
|
|
<div class="line"><a name="l01781"></a><span class="lineno"> 1781</span>  <span class="keywordflow">if</span> (z_coeff != IntegerValue(0)) {</div>
|
|
<div class="line"><a name="l01782"></a><span class="lineno"> 1782</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(z_var, z_coeff);</div>
|
|
<div class="line"><a name="l01783"></a><span class="lineno"> 1783</span>  }</div>
|
|
<div class="line"><a name="l01784"></a><span class="lineno"> 1784</span>  violation -= z_coeff.value() * lp_values[z_var];</div>
|
|
<div class="line"><a name="l01785"></a><span class="lineno"> 1785</span>  }</div>
|
|
<div class="line"><a name="l01786"></a><span class="lineno"> 1786</span>  <span class="keywordflow">if</span> (violation > 1e-2) {</div>
|
|
<div class="line"><a name="l01787"></a><span class="lineno"> 1787</span>  manager-><a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html#ad7adb503e78ae317a4406bdaca027494">AddCut</a>(cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>(), <span class="stringliteral">"LinMax"</span>, lp_values);</div>
|
|
<div class="line"><a name="l01788"></a><span class="lineno"> 1788</span>  }</div>
|
|
<div class="line"><a name="l01789"></a><span class="lineno"> 1789</span>  };</div>
|
|
<div class="line"><a name="l01790"></a><span class="lineno"> 1790</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l01791"></a><span class="lineno"> 1791</span> }</div>
|
|
<div class="line"><a name="l01792"></a><span class="lineno"> 1792</span>  </div>
|
|
<div class="line"><a name="l01793"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ac8ff64f6d85dd6e1708bf638df698b98"> 1793</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#ac8ff64f6d85dd6e1708bf638df698b98">CreateOptionalIntervalCutGenerator</a>(IntegerVariable start,</div>
|
|
<div class="line"><a name="l01794"></a><span class="lineno"> 1794</span>  IntegerVariable size,</div>
|
|
<div class="line"><a name="l01795"></a><span class="lineno"> 1795</span>  IntegerVariable end,</div>
|
|
<div class="line"><a name="l01796"></a><span class="lineno"> 1796</span>  <a class="code" href="classoperations__research_1_1sat_1_1Literal.html">Literal</a> presence,</div>
|
|
<div class="line"><a name="l01797"></a><span class="lineno"> 1797</span>  <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
|
|
<div class="line"><a name="l01798"></a><span class="lineno"> 1798</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
|
|
<div class="line"><a name="l01799"></a><span class="lineno"> 1799</span>  </div>
|
|
<div class="line"><a name="l01800"></a><span class="lineno"> 1800</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(start);</div>
|
|
<div class="line"><a name="l01801"></a><span class="lineno"> 1801</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(size);</div>
|
|
<div class="line"><a name="l01802"></a><span class="lineno"> 1802</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(end);</div>
|
|
<div class="line"><a name="l01803"></a><span class="lineno"> 1803</span>  </div>
|
|
<div class="line"><a name="l01804"></a><span class="lineno"> 1804</span>  <a class="code" href="classoperations__research_1_1sat_1_1Trail.html">Trail</a>* trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1Trail.html">Trail</a>>();</div>
|
|
<div class="line"><a name="l01805"></a><span class="lineno"> 1805</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
|
|
<div class="line"><a name="l01806"></a><span class="lineno"> 1806</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> =</div>
|
|
<div class="line"><a name="l01807"></a><span class="lineno"> 1807</span>  [start, size, end, presence, trail, integer_trail, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>](</div>
|
|
<div class="line"><a name="l01808"></a><span class="lineno"> 1808</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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|
<div class="line"><a name="l01809"></a><span class="lineno"> 1809</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
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<div class="line"><a name="l01810"></a><span class="lineno"> 1810</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1Trail.html">Trail</a>>()-><a class="code" href="classoperations__research_1_1sat_1_1Trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() > 0) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l01811"></a><span class="lineno"> 1811</span>  <span class="keywordflow">if</span> (trail->Assignment().LiteralIsAssigned(presence) &&</div>
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<div class="line"><a name="l01812"></a><span class="lineno"> 1812</span>  trail->Assignment().LiteralIsTrue(presence)) {</div>
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<div class="line"><a name="l01813"></a><span class="lineno"> 1813</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html">LinearConstraintBuilder</a> cut(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(0), IntegerValue(0));</div>
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<div class="line"><a name="l01814"></a><span class="lineno"> 1814</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(start, IntegerValue(1));</div>
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<div class="line"><a name="l01815"></a><span class="lineno"> 1815</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(size, IntegerValue(1));</div>
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<div class="line"><a name="l01816"></a><span class="lineno"> 1816</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(end, IntegerValue(-1));</div>
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<div class="line"><a name="l01817"></a><span class="lineno"> 1817</span>  manager-><a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html#ad7adb503e78ae317a4406bdaca027494">AddCut</a>(cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>(), <span class="stringliteral">"Interval"</span>, lp_values);</div>
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<div class="line"><a name="l01818"></a><span class="lineno"> 1818</span>  }</div>
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<div class="line"><a name="l01819"></a><span class="lineno"> 1819</span>  };</div>
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<div class="line"><a name="l01820"></a><span class="lineno"> 1820</span>  <span class="keywordflow">return</span> result;</div>
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<div class="line"><a name="l01821"></a><span class="lineno"> 1821</span> }</div>
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<div class="line"><a name="l01822"></a><span class="lineno"> 1822</span>  </div>
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<div class="line"><a name="l01823"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a34b1d34844b9b1695dd45dfd9c33f663"> 1823</a></span> <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> <a class="code" href="namespaceoperations__research_1_1sat.html#a34b1d34844b9b1695dd45dfd9c33f663">CreateCumulativeCutGenerator</a>(</div>
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<div class="line"><a name="l01824"></a><span class="lineno"> 1824</span>  <span class="keyword">const</span> std::vector<IntervalVariable>& intervals,</div>
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<div class="line"><a name="l01825"></a><span class="lineno"> 1825</span>  <span class="keyword">const</span> IntegerVariable <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>, <span class="keyword">const</span> std::vector<IntegerVariable>& demands,</div>
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<div class="line"><a name="l01826"></a><span class="lineno"> 1826</span>  <a class="code" href="classoperations__research_1_1sat_1_1Model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
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<div class="line"><a name="l01827"></a><span class="lineno"> 1827</span>  <a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html">CutGenerator</a> result;</div>
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<div class="line"><a name="l01828"></a><span class="lineno"> 1828</span>  </div>
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<div class="line"><a name="l01829"></a><span class="lineno"> 1829</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = demands;</div>
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<div class="line"><a name="l01830"></a><span class="lineno"> 1830</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntervalsRepository.html">IntervalsRepository</a>* intervals_repo =</div>
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<div class="line"><a name="l01831"></a><span class="lineno"> 1831</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntervalsRepository.html">IntervalsRepository</a>>();</div>
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<div class="line"><a name="l01832"></a><span class="lineno"> 1832</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntervalVariable <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a> : intervals) {</div>
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<div class="line"><a name="l01833"></a><span class="lineno"> 1833</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(intervals_repo-><a class="code" href="classoperations__research_1_1sat_1_1IntervalsRepository.html#a79cdaf1197909e0c2134d7ec44b8b159">StartVar</a>(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>));</div>
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<div class="line"><a name="l01834"></a><span class="lineno"> 1834</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(intervals_repo-><a class="code" href="classoperations__research_1_1sat_1_1IntervalsRepository.html#a9ff1fffcff27fdd81aea09de59d0cb45">EndVar</a>(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>));</div>
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<div class="line"><a name="l01835"></a><span class="lineno"> 1835</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(intervals_repo-><a class="code" href="classoperations__research_1_1sat_1_1IntervalsRepository.html#a275355fe7cb25fa05d65b021e5746b1e">SizeVar</a>(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>));</div>
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<div class="line"><a name="l01836"></a><span class="lineno"> 1836</span>  }</div>
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<div class="line"><a name="l01837"></a><span class="lineno"> 1837</span>  </div>
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<div class="line"><a name="l01838"></a><span class="lineno"> 1838</span>  <span class="keyword">struct </span>Event {</div>
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<div class="line"><a name="l01839"></a><span class="lineno"> 1839</span>  <span class="keywordtype">int</span> interval_index;</div>
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<div class="line"><a name="l01840"></a><span class="lineno"> 1840</span>  IntegerValue <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>;</div>
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|
<div class="line"><a name="l01841"></a><span class="lineno"> 1841</span>  <span class="keywordtype">bool</span> positive;</div>
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|
<div class="line"><a name="l01842"></a><span class="lineno"> 1842</span>  IntegerVariable <a class="code" href="resource_8cc.html#a29fb0dd9484d890b12b280c41c150e20">demand</a>;</div>
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<div class="line"><a name="l01843"></a><span class="lineno"> 1843</span>  <a class="code" href="classoperations__research_1_1sat_1_1Literal.html">Literal</a> presence_literal;</div>
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<div class="line"><a name="l01844"></a><span class="lineno"> 1844</span>  };</div>
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<div class="line"><a name="l01845"></a><span class="lineno"> 1845</span>  </div>
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<div class="line"><a name="l01846"></a><span class="lineno"> 1846</span>  <a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1IntegerTrail.html">IntegerTrail</a>>();</div>
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<div class="line"><a name="l01847"></a><span class="lineno"> 1847</span>  result.<a class="code" href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">generate_cuts</a> =</div>
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<div class="line"><a name="l01848"></a><span class="lineno"> 1848</span>  [intervals, <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>, demands, integer_trail, intervals_repo, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>](</div>
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<div class="line"><a name="l01849"></a><span class="lineno"> 1849</span>  <span class="keyword">const</span> <a class="code" href="classgtl_1_1ITIVector.html">gtl::ITIVector<IntegerVariable, double></a>& lp_values,</div>
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<div class="line"><a name="l01850"></a><span class="lineno"> 1850</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">LinearConstraintManager</a>* manager) {</div>
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<div class="line"><a name="l01851"></a><span class="lineno"> 1851</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1Trail.html">Trail</a>>()-><a class="code" href="classoperations__research_1_1sat_1_1Trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() > 0) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l01852"></a><span class="lineno"> 1852</span>  </div>
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<div class="line"><a name="l01853"></a><span class="lineno"> 1853</span>  std::vector<Event> events;</div>
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<div class="line"><a name="l01854"></a><span class="lineno"> 1854</span>  <span class="comment">// Iterate through the intervals. If start_max < end_min, the demand is</span></div>
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|
<div class="line"><a name="l01855"></a><span class="lineno"> 1855</span>  <span class="comment">// mandatory.</span></div>
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<div class="line"><a name="l01856"></a><span class="lineno"> 1856</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < intervals.size(); ++i) {</div>
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<div class="line"><a name="l01857"></a><span class="lineno"> 1857</span>  <span class="keyword">const</span> IntervalVariable <a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a> = intervals[i];</div>
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|
<div class="line"><a name="l01858"></a><span class="lineno"> 1858</span>  <span class="keyword">const</span> IntegerVariable start_var = intervals_repo-><a class="code" href="classoperations__research_1_1sat_1_1IntervalVar.html#afeafd91b6c39ca5733228cd0e3a78cab">StartVar</a>(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>);</div>
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|
<div class="line"><a name="l01859"></a><span class="lineno"> 1859</span>  <span class="keyword">const</span> IntegerVariable end_var = intervals_repo->EndVar(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>);</div>
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<div class="line"><a name="l01860"></a><span class="lineno"> 1860</span>  </div>
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<div class="line"><a name="l01861"></a><span class="lineno"> 1861</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="sched__constraints_8cc.html#a7c8133c50ba59755e2162ad1a9478da7">start_max</a> =</div>
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<div class="line"><a name="l01862"></a><span class="lineno"> 1862</span>  integer_trail->LevelZeroUpperBound(start_var);</div>
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<div class="line"><a name="l01863"></a><span class="lineno"> 1863</span>  <span class="keyword">const</span> IntegerValue <a class="code" href="sched__constraints_8cc.html#a16edac3fa04d9ba10ff012b5fb8add05">end_min</a> =</div>
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<div class="line"><a name="l01864"></a><span class="lineno"> 1864</span>  integer_trail->LevelZeroLowerBound(end_var);</div>
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<div class="line"><a name="l01865"></a><span class="lineno"> 1865</span>  </div>
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<div class="line"><a name="l01866"></a><span class="lineno"> 1866</span>  <span class="keywordflow">if</span> (<a class="code" href="sched__constraints_8cc.html#a7c8133c50ba59755e2162ad1a9478da7">start_max</a> >= <a class="code" href="sched__constraints_8cc.html#a16edac3fa04d9ba10ff012b5fb8add05">end_min</a>) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l01867"></a><span class="lineno"> 1867</span>  </div>
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<div class="line"><a name="l01868"></a><span class="lineno"> 1868</span>  Event e1;</div>
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<div class="line"><a name="l01869"></a><span class="lineno"> 1869</span>  e1.interval_index = i;</div>
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<div class="line"><a name="l01870"></a><span class="lineno"> 1870</span>  e1.time = <a class="code" href="sched__constraints_8cc.html#a7c8133c50ba59755e2162ad1a9478da7">start_max</a>;</div>
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<div class="line"><a name="l01871"></a><span class="lineno"> 1871</span>  e1.demand = demands[i];</div>
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<div class="line"><a name="l01872"></a><span class="lineno"> 1872</span>  e1.positive = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l01873"></a><span class="lineno"> 1873</span>  e1.presence_literal = intervals_repo->IsOptional(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>)</div>
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|
<div class="line"><a name="l01874"></a><span class="lineno"> 1874</span>  ? intervals_repo->IsPresentLiteral(<a class="code" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>)</div>
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<div class="line"><a name="l01875"></a><span class="lineno"> 1875</span>  : <a class="code" href="classoperations__research_1_1sat_1_1Literal.html">Literal</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a7ab45c5256e605ee3da3bf3abd1df2e1">kTrueLiteralIndex</a>);</div>
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<div class="line"><a name="l01876"></a><span class="lineno"> 1876</span>  Event e2 = e1;</div>
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<div class="line"><a name="l01877"></a><span class="lineno"> 1877</span>  e2.time = <a class="code" href="sched__constraints_8cc.html#a16edac3fa04d9ba10ff012b5fb8add05">end_min</a>;</div>
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<div class="line"><a name="l01878"></a><span class="lineno"> 1878</span>  e2.positive = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l01879"></a><span class="lineno"> 1879</span>  events.push_back(e1);</div>
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<div class="line"><a name="l01880"></a><span class="lineno"> 1880</span>  events.push_back(e2);</div>
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<div class="line"><a name="l01881"></a><span class="lineno"> 1881</span>  }</div>
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<div class="line"><a name="l01882"></a><span class="lineno"> 1882</span>  </div>
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<div class="line"><a name="l01883"></a><span class="lineno"> 1883</span>  <span class="comment">// Sort events by time.</span></div>
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<div class="line"><a name="l01884"></a><span class="lineno"> 1884</span>  <span class="comment">// It is also important that all positive event with the same time as</span></div>
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<div class="line"><a name="l01885"></a><span class="lineno"> 1885</span>  <span class="comment">// negative events appear after for the correctness of the algo below.</span></div>
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<div class="line"><a name="l01886"></a><span class="lineno"> 1886</span>  std::sort(events.begin(), events.end(),</div>
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<div class="line"><a name="l01887"></a><span class="lineno"> 1887</span>  [](<span class="keyword">const</span> Event i, <span class="keyword">const</span> Event j) {</div>
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<div class="line"><a name="l01888"></a><span class="lineno"> 1888</span>  if (i.time == j.time) {</div>
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<div class="line"><a name="l01889"></a><span class="lineno"> 1889</span>  if (i.positive == j.positive) {</div>
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<div class="line"><a name="l01890"></a><span class="lineno"> 1890</span>  return i.interval_index < j.interval_index;</div>
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<div class="line"><a name="l01891"></a><span class="lineno"> 1891</span>  }</div>
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<div class="line"><a name="l01892"></a><span class="lineno"> 1892</span>  return !i.positive;</div>
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<div class="line"><a name="l01893"></a><span class="lineno"> 1893</span>  }</div>
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|
<div class="line"><a name="l01894"></a><span class="lineno"> 1894</span>  <span class="keywordflow">return</span> i.time < j.time;</div>
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<div class="line"><a name="l01895"></a><span class="lineno"> 1895</span>  });</div>
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<div class="line"><a name="l01896"></a><span class="lineno"> 1896</span>  </div>
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<div class="line"><a name="l01897"></a><span class="lineno"> 1897</span>  std::vector<Event> cut_events;</div>
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|
<div class="line"><a name="l01898"></a><span class="lineno"> 1898</span>  <span class="keywordtype">bool</span> added_positive_event = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l01899"></a><span class="lineno"> 1899</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> Event& e : events) {</div>
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<div class="line"><a name="l01900"></a><span class="lineno"> 1900</span>  <span class="keywordflow">if</span> (e.positive) {</div>
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<div class="line"><a name="l01901"></a><span class="lineno"> 1901</span>  added_positive_event = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l01902"></a><span class="lineno"> 1902</span>  cut_events.push_back(e);</div>
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|
<div class="line"><a name="l01903"></a><span class="lineno"> 1903</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l01904"></a><span class="lineno"> 1904</span>  }</div>
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<div class="line"><a name="l01905"></a><span class="lineno"> 1905</span>  <span class="keywordflow">if</span> (added_positive_event && cut_events.size() > 1) {</div>
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<div class="line"><a name="l01906"></a><span class="lineno"> 1906</span>  <span class="comment">// Create cut.</span></div>
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<div class="line"><a name="l01907"></a><span class="lineno"> 1907</span>  <span class="keywordtype">bool</span> cut_generated = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l01908"></a><span class="lineno"> 1908</span>  <a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html">LinearConstraintBuilder</a> cut(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>,</div>
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<div class="line"><a name="l01909"></a><span class="lineno"> 1909</span>  IntegerValue(0));</div>
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<div class="line"><a name="l01910"></a><span class="lineno"> 1910</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(<a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>, IntegerValue(-1));</div>
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<div class="line"><a name="l01911"></a><span class="lineno"> 1911</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> Event& cut_event : cut_events) {</div>
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<div class="line"><a name="l01912"></a><span class="lineno"> 1912</span>  <span class="keywordflow">if</span> (cut_event.presence_literal == <a class="code" href="classoperations__research_1_1sat_1_1Literal.html">Literal</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a7ab45c5256e605ee3da3bf3abd1df2e1">kTrueLiteralIndex</a>)) {</div>
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<div class="line"><a name="l01913"></a><span class="lineno"> 1913</span>  cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">AddTerm</a>(cut_event.demand, IntegerValue(1));</div>
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|
<div class="line"><a name="l01914"></a><span class="lineno"> 1914</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l01915"></a><span class="lineno"> 1915</span>  cut_generated &= cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#a094a24aaf66d66b693e7e80a0222f040">AddLiteralTerm</a>(</div>
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<div class="line"><a name="l01916"></a><span class="lineno"> 1916</span>  cut_event.presence_literal,</div>
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<div class="line"><a name="l01917"></a><span class="lineno"> 1917</span>  integer_trail->LevelZeroLowerBound(cut_event.demand));</div>
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<div class="line"><a name="l01918"></a><span class="lineno"> 1918</span>  <span class="keywordflow">if</span> (!cut_generated) <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l01919"></a><span class="lineno"> 1919</span>  }</div>
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<div class="line"><a name="l01920"></a><span class="lineno"> 1920</span>  }</div>
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<div class="line"><a name="l01921"></a><span class="lineno"> 1921</span>  <span class="keywordflow">if</span> (cut_generated) {</div>
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<div class="line"><a name="l01922"></a><span class="lineno"> 1922</span>  <span class="comment">// Violation of the cut is checked by AddCut so we don't check</span></div>
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<div class="line"><a name="l01923"></a><span class="lineno"> 1923</span>  <span class="comment">// it here.</span></div>
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<div class="line"><a name="l01924"></a><span class="lineno"> 1924</span>  manager-><a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintManager.html#ad7adb503e78ae317a4406bdaca027494">AddCut</a>(cut.<a class="code" href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html#a8ef32d79f50eb45bb9305c8b436cf6c4">Build</a>(), <span class="stringliteral">"Cumulative"</span>, lp_values);</div>
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<div class="line"><a name="l01925"></a><span class="lineno"> 1925</span>  }</div>
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<div class="line"><a name="l01926"></a><span class="lineno"> 1926</span>  }</div>
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<div class="line"><a name="l01927"></a><span class="lineno"> 1927</span>  <span class="comment">// Remove the event.</span></div>
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<div class="line"><a name="l01928"></a><span class="lineno"> 1928</span>  <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a name="l01929"></a><span class="lineno"> 1929</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < cut_events.size(); ++i) {</div>
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<div class="line"><a name="l01930"></a><span class="lineno"> 1930</span>  <span class="keywordflow">if</span> (cut_events[i].interval_index == e.interval_index) {</div>
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<div class="line"><a name="l01931"></a><span class="lineno"> 1931</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l01932"></a><span class="lineno"> 1932</span>  }</div>
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<div class="line"><a name="l01933"></a><span class="lineno"> 1933</span>  cut_events[new_size] = cut_events[i];</div>
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<div class="line"><a name="l01934"></a><span class="lineno"> 1934</span>  new_size++;</div>
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<div class="line"><a name="l01935"></a><span class="lineno"> 1935</span>  }</div>
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<div class="line"><a name="l01936"></a><span class="lineno"> 1936</span>  cut_events.resize(new_size);</div>
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<div class="line"><a name="l01937"></a><span class="lineno"> 1937</span>  added_positive_event = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l01938"></a><span class="lineno"> 1938</span>  }</div>
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<div class="line"><a name="l01939"></a><span class="lineno"> 1939</span>  };</div>
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<div class="line"><a name="l01940"></a><span class="lineno"> 1940</span>  <span class="keywordflow">return</span> result;</div>
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<div class="line"><a name="l01941"></a><span class="lineno"> 1941</span> }</div>
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<div class="line"><a name="l01942"></a><span class="lineno"> 1942</span>  </div>
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<div class="line"><a name="l01943"></a><span class="lineno"> 1943</span> } <span class="comment">// namespace sat</span></div>
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<div class="line"><a name="l01944"></a><span class="lineno"> 1944</span> } <span class="comment">// namespace operations_research</span></div>
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</div><!-- fragment --></div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1Trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1Trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00233">sat_base.h:233</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBoundsProcessor_html_a011f5f336c989d356c5f06a5793473c1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a011f5f336c989d356c5f06a5793473c1">operations_research::sat::ImpliedBoundsProcessor::ClearCache</a></div><div class="ttdeci">void ClearCache() const</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00106">cuts.h:106</a></div></div>
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<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01858">expr_array.cc:1858</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntervalsRepository_html_a9ff1fffcff27fdd81aea09de59d0cb45"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntervalsRepository.html#a9ff1fffcff27fdd81aea09de59d0cb45">operations_research::sat::IntervalsRepository::EndVar</a></div><div class="ttdeci">IntegerVariable EndVar(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00079">intervals.h:79</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1CutGenerator_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1CutGenerator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::CutGenerator::vars</a></div><div class="ttdeci">std::vector< IntegerVariable > vars</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00041">cuts.h:41</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a021e695f54a13bd809c34b2f4ca87c37"><div class="ttname"><a href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a></div><div class="ttdeci">int64 min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00138">alldiff_cst.cc:138</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.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>
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<div class="ttc" id="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1KnapsackItem_html_a3ff84545f00a56ba7584b2a7f2cef69c"><div class="ttname"><a href="structoperations__research_1_1sat_1_1KnapsackItem.html#a3ff84545f00a56ba7584b2a7f2cef69c">operations_research::sat::KnapsackItem::profit</a></div><div class="ttdeci">double profit</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00264">cuts.h:264</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html_aab4a9c689632460b6b96f3d4bf22f86e"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html#aab4a9c689632460b6b96f3d4bf22f86e">operations_research::KnapsackSolverForCuts::Solve</a></div><div class="ttdeci">double Solve(TimeLimit *time_limit, bool *is_solution_optimal)</div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8cc_source.html#l00320">knapsack_solver_for_cuts.cc:320</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a228fe84d99348c2b62bb4f70a6371d9b"><div class="ttname"><a href="namespaceoperations__research.html#a228fe84d99348c2b62bb4f70a6371d9b">operations_research::CapSub</a></div><div class="ttdeci">int64 CapSub(int64 x, int64 y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00154">saturated_arithmetic.h:154</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acbbef9110caafe014de5510ddd26b45f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acbbef9110caafe014de5510ddd26b45f">operations_research::sat::CleanTermsAndFillConstraint</a></div><div class="ttdeci">void CleanTermsAndFillConstraint(std::vector< std::pair< IntegerVariable, IntegerValue >> *terms, LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00077">linear_constraint.cc:77</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7feb76be212dca01ffe7ba3a0391e118"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7feb76be212dca01ffe7ba3a0391e118">operations_research::sat::CreateAllDifferentCutGenerator</a></div><div class="ttdeci">CutGenerator CreateAllDifferentCutGenerator(const std::vector< IntegerVariable > &vars, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01627">cuts.cc:1627</a></div></div>
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<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#l00101">integer.h:101</a></div></div>
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<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>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5bdfb90b712b6e31c1078323edb2e0d5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bdfb90b712b6e31c1078323edb2e0d5">operations_research::sat::CanBeFilteredUsingCutLowerBound</a></div><div class="ttdeci">bool CanBeFilteredUsingCutLowerBound(const LinearConstraint &preprocessed_constraint, const gtl::ITIVector< IntegerVariable, double > &lp_values, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00275">cuts.cc:275</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html">operations_research::sat::ImpliedBoundsProcessor::SlackInfo</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00076">cuts.h:76</a></div></div>
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<div class="ttc" id="atime__limit_8h_html"><div class="ttname"><a href="time__limit_8h.html">time_limit.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a44bd0a015c444c2e2d58a002a09a1ea5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a44bd0a015c444c2e2d58a002a09a1ea5">operations_research::sat::GetFactorT</a></div><div class="ttdeci">IntegerValue GetFactorT(IntegerValue rhs_remainder, IntegerValue divisor, IntegerValue max_t)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00601">cuts.cc:601</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1RoundingOptions_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1RoundingOptions.html">operations_research::sat::RoundingOptions</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00198">cuts.h:198</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBounds_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBounds.html">operations_research::sat::ImpliedBounds</a></div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00077">implied_bounds.h:77</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_ab216763dccd16f5060d2fbcfb08173fb"><div class="ttname"><a href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">operations_research::CapProd</a></div><div class="ttdeci">int64 CapProd(int64 x, int64 y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00231">saturated_arithmetic.h:231</a></div></div>
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<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#l00092">integer.h:92</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::LinearConstraint::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00053">linear_constraint.h:53</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo_html_ac11e010c276514d6402c772d0651f82f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#ac11e010c276514d6402c772d0651f82f">operations_research::sat::ImpliedBoundsProcessor::BestImpliedBoundInfo::slack_lp_value</a></div><div class="ttdeci">double slack_lp_value</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00110">cuts.h:110</a></div></div>
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<div class="ttc" id="alinear__constraint_8h_html"><div class="ttname"><a href="linear__constraint_8h.html">linear_constraint.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntegerTrail_html_aa68cc40c827bff2fb311040e2b848f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntegerTrail.html#aa68cc40c827bff2fb311040e2b848f9b">operations_research::sat::IntegerTrail::LevelZeroLowerBound</a></div><div class="ttdeci">IntegerValue LevelZeroLowerBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01267">integer.h:1267</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1Domain_html_a5919f86aede74172b7fea05ebdb58975"><div class="ttname"><a href="classoperations__research_1_1Domain.html#a5919f86aede74172b7fea05ebdb58975">operations_research::Domain::UnionWith</a></div><div class="ttdeci">Domain UnionWith(const Domain &domain) const</div><div class="ttdoc">Returns the union of D and domain.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00321">sorted_interval_list.cc:321</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntegerTrail_html_a9ab880b5e67213a0607c5c3935da9f08"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntegerTrail.html#a9ab880b5e67213a0607c5c3935da9f08">operations_research::sat::IntegerTrail::LevelZeroUpperBound</a></div><div class="ttdeci">IntegerValue LevelZeroUpperBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01272">integer.h:1272</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntervalsRepository_html_a275355fe7cb25fa05d65b021e5746b1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntervalsRepository.html#a275355fe7cb25fa05d65b021e5746b1e">operations_research::sat::IntervalsRepository::SizeVar</a></div><div class="ttdeci">IntegerVariable SizeVar(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00077">intervals.h:77</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearExpression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearExpression.html">operations_research::sat::LinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00165">linear_constraint.h:165</a></div></div>
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<div class="ttc" id="apack_8cc_html_ae42ca38a167164c07831993889216903"><div class="ttname"><a href="pack_8cc.html#ae42ca38a167164c07831993889216903">weight</a></div><div class="ttdeci">int64 weight</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1KnapsackItem_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1KnapsackItem.html">operations_research::sat::KnapsackItem</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00263">cuts.h:263</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1LinearConstraintManager_html_ad7adb503e78ae317a4406bdaca027494"><div class="ttname"><a href="classoperations__research_1_1sat_1_1LinearConstraintManager.html#ad7adb503e78ae317a4406bdaca027494">operations_research::sat::LinearConstraintManager::AddCut</a></div><div class="ttdeci">bool AddCut(LinearConstraint ct, std::string type_name, const gtl::ITIVector< IntegerVariable, double > &lp_solution, std::string extra_info="")</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00204">linear_constraint_manager.cc:204</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html_a0ee34e5c6fbf075def1a6c2f0c42d040"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.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>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo_html_a871eaa421116e3c7cd440b6299d0b74d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a871eaa421116e3c7cd440b6299d0b74d">operations_research::sat::ImpliedBoundsProcessor::BestImpliedBoundInfo::bool_var</a></div><div class="ttdeci">IntegerVariable bool_var</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00113">cuts.h:113</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector< IntegerVariable > NegationOf(const std::vector< IntegerVariable > &vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00042">integer.cc:42</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBoundsProcessor_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html">operations_research::sat::ImpliedBoundsProcessor</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00054">cuts.h:54</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntegerTrail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntegerTrail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00534">integer.h:534</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7ab45c5256e605ee3da3bf3abd1df2e1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7ab45c5256e605ee3da3bf3abd1df2e1">operations_research::sat::kTrueLiteralIndex</a></div><div class="ttdeci">const LiteralIndex kTrueLiteralIndex(-2)</div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo_html_a0ee34e5c6fbf075def1a6c2f0c42d040"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a0ee34e5c6fbf075def1a6c2f0c42d040">operations_research::sat::ImpliedBoundsProcessor::SlackInfo::lb</a></div><div class="ttdeci">IntegerValue lb</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00082">cuts.h:82</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntervalsRepository_html_a79cdaf1197909e0c2134d7ec44b8b159"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntervalsRepository.html#a79cdaf1197909e0c2134d7ec44b8b159">operations_research::sat::IntervalsRepository::StartVar</a></div><div class="ttdeci">IntegerVariable StartVar(IntervalVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00078">intervals.h:78</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7f1ac774d4646a83631f8117f4ea03f5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">operations_research::sat::PositiveVariable</a></div><div class="ttdeci">IntegerVariable PositiveVariable(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00145">integer.h:145</a></div></div>
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<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>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a06e2118f6735d033f7f43a939abe558d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a06e2118f6735d033f7f43a939abe558d">operations_research::sat::ConvertToKnapsackForm</a></div><div class="ttdeci">void ConvertToKnapsackForm(const LinearConstraint &constraint, std::vector< LinearConstraint > *knapsack_constraints, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00373">cuts.cc:373</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1Domain_html"><div class="ttname"><a href="classoperations__research_1_1Domain.html">operations_research::Domain</a></div><div class="ttdoc">We call domain any subset of Int64 = [kint64min, kint64max].</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8h_source.html#l00081">sorted_interval_list.h:81</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a56f2839b344852506cb601bbf898c9b5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a56f2839b344852506cb601bbf898c9b5">operations_research::sat::LiftKnapsackCut</a></div><div class="ttdeci">bool LiftKnapsackCut(const LinearConstraint &constraint, const gtl::ITIVector< IntegerVariable, double > &lp_values, const std::vector< IntegerValue > &cut_vars_original_coefficients, const IntegerTrail &integer_trail, TimeLimit *time_limit, LinearConstraint *cut)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00157">cuts.cc:157</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1Model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1Model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00038">sat/model.h:38</a></div></div>
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<div class="ttc" id="apack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00508">pack.cc:508</a></div></div>
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<div class="ttc" id="asat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a562723a1a137cee8f869c1d7eb9641b0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a562723a1a137cee8f869c1d7eb9641b0">operations_research::sat::CreateSquareCutGenerator</a></div><div class="ttdeci">CutGenerator CreateSquareCutGenerator(IntegerVariable y, IntegerVariable x, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01236">cuts.cc:1236</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a28522d479617725f3539d537ebebcda3"><div class="ttname"><a href="namespaceoperations__research.html#a28522d479617725f3539d537ebebcda3">operations_research::SumOfKMinValueInDomain</a></div><div class="ttdeci">int64 SumOfKMinValueInDomain(const Domain &domain, int k)</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00535">sorted_interval_list.cc:535</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBounds_html_a1abcc20de9ebbf211ba0e97710b4be4d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBounds.html#a1abcc20de9ebbf211ba0e97710b4be4d">operations_research::sat::ImpliedBounds::GetImpliedBounds</a></div><div class="ttdeci">const std::vector< ImpliedBoundEntry > & GetImpliedBounds(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8cc_source.html#l00133">implied_bounds.cc:133</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1Trail_html_ad63c4461a1384629cb99413c6df8b9ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1Trail.html#ad63c4461a1384629cb99413c6df8b9ca">operations_research::sat::Trail::CurrentDecisionLevel</a></div><div class="ttdeci">int CurrentDecisionLevel() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00355">sat_base.h:355</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntegerTrail_html_af4303d31360f06c50729f156b1fbc2a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntegerTrail.html#af4303d31360f06c50729f156b1fbc2a9">operations_research::sat::IntegerTrail::InitialVariableDomain</a></div><div class="ttdeci">const Domain & InitialVariableDomain(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00632">integer.cc:632</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1KnapsackItem_html_a99108733d00274978a4979dc072bd513"><div class="ttname"><a href="structoperations__research_1_1sat_1_1KnapsackItem.html#a99108733d00274978a4979dc072bd513">operations_research::sat::KnapsackItem::weight</a></div><div class="ttdeci">double weight</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00265">cuts.h:265</a></div></div>
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<div class="ttc" id="arevised__simplex_8cc_html_af01c50e388647c921aa7d9c77f2b72b2"><div class="ttname"><a href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a></div><div class="ttdeci">Fractional ratio</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l01793">revised_simplex.cc:1793</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1Literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1Literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00064">sat_base.h:64</a></div></div>
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<div class="ttc" id="aresource_8cc_html_a29fb0dd9484d890b12b280c41c150e20"><div class="ttname"><a href="resource_8cc.html#a29fb0dd9484d890b12b280c41c150e20">demand</a></div><div class="ttdeci">int64 demand</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00123">resource.cc:123</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo_html_a250583d63e8184c6f9f4deba1125e6bb"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a250583d63e8184c6f9f4deba1125e6bb">operations_research::sat::ImpliedBoundsProcessor::SlackInfo::terms</a></div><div class="ttdeci">std::vector< std::pair< IntegerVariable, IntegerValue > > terms</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00078">cuts.h:78</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.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>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1LinearConstraintBuilder_html_ad65ddc0d04d71006a9ebe3b9dcfe2ce6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.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>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBoundsProcessor_html_ab1b4642341faf5ff972b02f034d88f21"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#ab1b4642341faf5ff972b02f034d88f21">operations_research::sat::ImpliedBoundsProcessor::DebugSlack</a></div><div class="ttdeci">bool DebugSlack(IntegerVariable first_slack, const LinearConstraint &initial_cut, const LinearConstraint &cut, const std::vector< SlackInfo > &info)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01534">cuts.cc:1534</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa07b0782b25220bea452557728abe747"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa07b0782b25220bea452557728abe747">operations_research::sat::GetPreprocessedLinearConstraint</a></div><div class="ttdeci">LinearConstraint GetPreprocessedLinearConstraint(const LinearConstraint &constraint, const gtl::ITIVector< IntegerVariable, double > &lp_values, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00235">cuts.cc:235</a></div></div>
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<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>
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<div class="ttc" id="acp__model__solver_8cc_html_ac3cf9db02b23ea1455b5ae6955d03e47"><div class="ttname"><a href="cp__model__solver_8cc.html#ac3cf9db02b23ea1455b5ae6955d03e47">time_limit</a></div><div class="ttdeci">SharedTimeLimit * time_limit</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l02025">cp_model_solver.cc:2025</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#a6e2915dc7e5345d6959390b53f026c5f">operations_research::sat::ImpliedBoundsProcessor::SlackInfo::ub</a></div><div class="ttdeci">IntegerValue ub</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00083">cuts.h:83</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a99264812cf177270e521f226a5c012c3"><div class="ttname"><a href="namespaceoperations__research.html#a99264812cf177270e521f226a5c012c3">operations_research::CapAdd</a></div><div class="ttdeci">int64 CapAdd(int64 x, int64 y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00124">saturated_arithmetic.h:124</a></div></div>
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<div class="ttc" id="aintervals_8h_html"><div class="ttname"><a href="intervals_8h.html">intervals.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1TimeLimit_html"><div class="ttname"><a href="classoperations__research_1_1TimeLimit.html">operations_research::TimeLimit</a></div><div class="ttdoc">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same threa...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00105">time_limit.h:105</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1RoundingOptions_html_a01db407e90fac1c31c6705758a057908"><div class="ttname"><a href="structoperations__research_1_1sat_1_1RoundingOptions.html#a01db407e90fac1c31c6705758a057908">operations_research::sat::RoundingOptions::max_scaling</a></div><div class="ttdeci">IntegerValue max_scaling</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00199">cuts.h:199</a></div></div>
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<div class="ttc" id="anamespacegtl_html_a288a1dc92da5d3ad62d4bc4cec9e8b1d"><div class="ttname"><a href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a></div><div class="ttdeci">void STLSortAndRemoveDuplicates(T *v, const LessFunc &less_func)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00058">stl_util.h:58</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits< IntegerValue::ValueType >::max() - 1)</div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo_html_acd07f8397a2e61932c8ee17a4e300e23"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#acd07f8397a2e61932c8ee17a4e300e23">operations_research::sat::ImpliedBoundsProcessor::SlackInfo::offset</a></div><div class="ttdeci">IntegerValue offset</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00079">cuts.h:79</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1TimeLimit_html_a810d5f7aaf80cc09cf5a094e20c1aaca"><div class="ttname"><a href="classoperations__research_1_1TimeLimit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">operations_research::TimeLimit::LimitReached</a></div><div class="ttdeci">bool LimitReached()</div><div class="ttdoc">Returns true when the external limit is true, or the deterministic time is over the deterministic lim...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00532">time_limit.h:532</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html_afd53920302b4dcd6ef445bc52a001a5b"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html#afd53920302b4dcd6ef445bc52a001a5b">operations_research::KnapsackSolverForCuts::set_solution_upper_bound_threshold</a></div><div class="ttdeci">void set_solution_upper_bound_threshold(const double solution_upper_bound_threshold)</div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8h_source.html#l00330">knapsack_solver_for_cuts.h:330</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7fea62548e11ae728e506874f767bdd3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7fea62548e11ae728e506874f767bdd3">operations_research::sat::CreateLinMaxCutGenerator</a></div><div class="ttdeci">CutGenerator CreateLinMaxCutGenerator(const IntegerVariable target, const std::vector< LinearExpression > &exprs, const std::vector< IntegerVariable > &z_vars, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01724">cuts.cc:1724</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a0c9e8fab437ba44c91b0493a74cde263"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">operations_research::sat::AddProductTo</a></div><div class="ttdeci">bool AddProductTo(IntegerValue a, IntegerValue b, IntegerValue *result)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00121">integer.h:121</a></div></div>
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<div class="ttc" id="aknapsack__solver__for__cuts_8h_html"><div class="ttname"><a href="knapsack__solver__for__cuts_8h.html">knapsack_solver_for_cuts.h</a></div></div>
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<div class="ttc" id="asched__constraints_8cc_html_a7c8133c50ba59755e2162ad1a9478da7"><div class="ttname"><a href="sched__constraints_8cc.html#a7c8133c50ba59755e2162ad1a9478da7">start_max</a></div><div class="ttdeci">Rev< int64 > start_max</div><div class="ttdef"><b>Definition:</b> <a href="sched__constraints_8cc_source.html#l00242">sched_constraints.cc:242</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html_ad65ddc0d04d71006a9ebe3b9dcfe2ce6"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.html#ad65ddc0d04d71006a9ebe3b9dcfe2ce6">operations_research::sat::LinearConstraint::AddTerm</a></div><div class="ttdeci">void AddTerm(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00048">linear_constraint.h:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1LinearConstraintManager_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1LinearConstraintManager.html">operations_research::sat::LinearConstraintManager</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8h_source.html#l00040">linear_constraint_manager.h:40</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a89c3facce82a049661167dd92f7f21f7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a89c3facce82a049661167dd92f7f21f7">operations_research::sat::CanBeFilteredUsingKnapsackUpperBound</a></div><div class="ttdeci">bool CanBeFilteredUsingKnapsackUpperBound(const LinearConstraint &constraint, const gtl::ITIVector< IntegerVariable, double > &lp_values, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00321">cuts.cc:321</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acd00c99b5770a8f86418ce2c60c716b8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acd00c99b5770a8f86418ce2c60c716b8">operations_research::sat::CreatePositiveMultiplicationCutGenerator</a></div><div class="ttdeci">CutGenerator CreatePositiveMultiplicationCutGenerator(IntegerVariable z, IntegerVariable x, IntegerVariable y, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01140">cuts.cc:1140</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo_html_a6d2822d5e07c3716efcdf73a4ae5eafc"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a6d2822d5e07c3716efcdf73a4ae5eafc">operations_research::sat::ImpliedBoundsProcessor::BestImpliedBoundInfo::is_positive</a></div><div class="ttdeci">bool is_positive</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00111">cuts.h:111</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5d3aa6734674f8f81aac3895cde58d6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">operations_research::sat::MakeAllCoefficientsPositive</a></div><div class="ttdeci">void MakeAllCoefficientsPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00209">linear_constraint.cc:209</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab7b2c273b19bf885462dfa04611e4e62"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab7b2c273b19bf885462dfa04611e4e62">operations_research::sat::GetCoefficientOfPositiveVar</a></div><div class="ttdeci">IntegerValue GetCoefficientOfPositiveVar(const IntegerVariable var, const LinearExpression &expr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00341">linear_constraint.cc:341</a></div></div>
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<div class="ttc" id="agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00195">gurobi_interface.cc:195</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1f091a18daeedeeaff4aa22591757a0f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1f091a18daeedeeaff4aa22591757a0f">operations_research::sat::CanFormValidKnapsackCover</a></div><div class="ttdeci">bool CanFormValidKnapsackCover(const LinearConstraint &preprocessed_constraint, const gtl::ITIVector< IntegerVariable, double > &lp_values, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00355">cuts.cc:355</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac8ff64f6d85dd6e1708bf638df698b98"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac8ff64f6d85dd6e1708bf638df698b98">operations_research::sat::CreateOptionalIntervalCutGenerator</a></div><div class="ttdeci">CutGenerator CreateOptionalIntervalCutGenerator(IntegerVariable start, IntegerVariable size, IntegerVariable end, Literal presence, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01793">cuts.cc:1793</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4393db2c15b2f92d7ef16ce6b38c8150"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4393db2c15b2f92d7ef16ce6b38c8150">operations_research::sat::RemoveZeroTerms</a></div><div class="ttdeci">void RemoveZeroTerms(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00196">linear_constraint.cc:196</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html">operations_research::sat::ImpliedBoundsProcessor::BestImpliedBoundInfo</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00108">cuts.h:108</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html">operations_research::KnapsackSolverForCuts</a></div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8h_source.html#l00300">knapsack_solver_for_cuts.h:300</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8e30df8580d6914abba28f43b6e4e667"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8e30df8580d6914abba28f43b6e4e667">operations_research::sat::GetSuperAdditiveRoundingFunction</a></div><div class="ttdeci">std::function< IntegerValue(IntegerValue)> GetSuperAdditiveRoundingFunction(IntegerValue rhs_remainder, IntegerValue divisor, IntegerValue t, IntegerValue max_scaling)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00609">cuts.cc:609</a></div></div>
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<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>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo_html_a2c25b894240115eebb2e75e2d8491a79"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1BestImpliedBoundInfo.html#a2c25b894240115eebb2e75e2d8491a79">operations_research::sat::ImpliedBoundsProcessor::BestImpliedBoundInfo::bound_diff</a></div><div class="ttdeci">IntegerValue bound_diff</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00112">cuts.h:112</a></div></div>
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<div class="ttc" id="arouting__search_8cc_html_ab66ad179c8a6fcf1adb958cb51f4c7cb"><div class="ttname"><a href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a></div><div class="ttdeci">int64 coefficient</div><div class="ttdef"><b>Definition:</b> <a href="routing__search_8cc_source.html#l00973">routing_search.cc:973</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1LinearConstraintBuilder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.html">operations_research::sat::LinearConstraintBuilder</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00082">linear_constraint.h:82</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa2ba15be9aeabce0142c726fbf880798"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa2ba15be9aeabce0142c726fbf880798">operations_research::sat::MakeAllVariablesPositive</a></div><div class="ttdeci">void MakeAllVariablesPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00220">linear_constraint.cc:220</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html_a496668ced432925ff3a7ec06e0d439eb"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html#a496668ced432925ff3a7ec06e0d439eb">operations_research::KnapsackSolverForCuts::set_node_limit</a></div><div class="ttdeci">void set_node_limit(const int64 node_limit)</div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8h_source.html#l00336">knapsack_solver_for_cuts.h:336</a></div></div>
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<div class="ttc" id="asched__constraints_8cc_html_a16edac3fa04d9ba10ff012b5fb8add05"><div class="ttname"><a href="sched__constraints_8cc.html#a16edac3fa04d9ba10ff012b5fb8add05">end_min</a></div><div class="ttdeci">Rev< int64 > end_min</div><div class="ttdef"><b>Definition:</b> <a href="sched__constraints_8cc_source.html#l00243">sched_constraints.cc:243</a></div></div>
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<div class="ttc" id="astl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html_a3bd66bb6693c84e8b758c0d8a18ed9e5"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html#a3bd66bb6693c84e8b758c0d8a18ed9e5">operations_research::KnapsackSolverForCuts::best_solution</a></div><div class="ttdeci">bool best_solution(int item_id) const</div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8h_source.html#l00341">knapsack_solver_for_cuts.h:341</a></div></div>
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<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 &constraint, const gtl::ITIVector< IntegerVariable, double > &values)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00116">linear_constraint.cc:116</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBoundsProcessor_html_a01eca8210872034b3bca100ad24ecb23"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a01eca8210872034b3bca100ad24ecb23">operations_research::sat::ImpliedBoundsProcessor::ProcessUpperBoundedConstraintWithSlackCreation</a></div><div class="ttdeci">void ProcessUpperBoundedConstraintWithSlackCreation(bool substitute_only_inner_variables, IntegerVariable first_slack, const gtl::ITIVector< IntegerVariable, double > &lp_values, LinearConstraint *cut, std::vector< SlackInfo > *slack_infos, std::vector< LinearConstraint > *implied_bound_cuts) const</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01391">cuts.cc:1391</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundEntry_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundEntry.html">operations_research::sat::ImpliedBoundEntry</a></div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00039">implied_bounds.h:39</a></div></div>
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<div class="ttc" id="asat_2lp__utils_8cc_html_a561d7bf12fc7674b3fe0ad2ba2e175a0"><div class="ttname"><a href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a></div><div class="ttdeci">std::vector< double > lower_bounds</div><div class="ttdef"><b>Definition:</b> <a href="sat_2lp__utils_8cc_source.html#l00288">sat/lp_utils.cc:288</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_abb2639c7a4188d2f2121f16ee217aca3"><div class="ttname"><a href="namespaceoperations__research.html#abb2639c7a4188d2f2121f16ee217aca3">operations_research::SumOfKMaxValueInDomain</a></div><div class="ttdeci">int64 SumOfKMaxValueInDomain(const Domain &domain, int k)</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00549">sorted_interval_list.cc:549</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearConstraint::vars</a></div><div class="ttdeci">std::vector< IntegerVariable > vars</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00042">linear_constraint.h:42</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a457076abfb3071fca80b8175363e3dfa"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a457076abfb3071fca80b8175363e3dfa">operations_research::sat::GetKnapsackUpperBound</a></div><div class="ttdeci">double GetKnapsackUpperBound(std::vector< KnapsackItem > items, const double capacity)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00303">cuts.cc:303</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a34b1d34844b9b1695dd45dfd9c33f663"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a34b1d34844b9b1695dd45dfd9c33f663">operations_research::sat::CreateCumulativeCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCumulativeCutGenerator(const std::vector< IntervalVariable > &intervals, const IntegerVariable capacity, const std::vector< IntegerVariable > &demands, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01823">cuts.cc:1823</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntegerRoundingCutHelper_html_a66c8e6dc26260b69dcdf7668925dc3aa"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntegerRoundingCutHelper.html#a66c8e6dc26260b69dcdf7668925dc3aa">operations_research::sat::IntegerRoundingCutHelper::ComputeCut</a></div><div class="ttdeci">void ComputeCut(RoundingOptions options, const std::vector< double > &lp_values, const std::vector< IntegerValue > &lower_bounds, const std::vector< IntegerValue > &upper_bounds, ImpliedBoundsProcessor *ib_processor, LinearConstraint *cut)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00692">cuts.cc:692</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1LinearConstraintBuilder_html_a8ef32d79f50eb45bb9305c8b436cf6c4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.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#l00108">linear_constraint.cc:108</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1CutGenerator_html_ac64771783f46031abe2052d745e8b0a7"><div class="ttname"><a href="structoperations__research_1_1sat_1_1CutGenerator.html#ac64771783f46031abe2052d745e8b0a7">operations_research::sat::CutGenerator::generate_cuts</a></div><div class="ttdeci">std::function< void(const gtl::ITIVector< IntegerVariable, double > &lp_values, LinearConstraintManager *manager)> generate_cuts</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00044">cuts.h:44</a></div></div>
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<div class="ttc" id="aclassgtl_1_1ITIVector_html"><div class="ttname"><a href="classgtl_1_1ITIVector.html">gtl::ITIVector< IntegerVariable, double ></a></div></div>
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<div class="ttc" id="arouting__flow_8cc_html_adf3be22c64f10c0783c0cf277e857adf"><div class="ttname"><a href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a></div><div class="ttdeci">int64 capacity</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00129">routing_flow.cc:129</a></div></div>
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<div class="ttc" id="aresource_8cc_html_af92a8383a05fdf586a52263d358f5ada"><div class="ttname"><a href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a></div><div class="ttdeci">IntervalVar * interval</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00098">resource.cc:98</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1CutGenerator_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1CutGenerator.html">operations_research::sat::CutGenerator</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00040">cuts.h:40</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntervalVar_html_afeafd91b6c39ca5733228cd0e3a78cab"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntervalVar.html#afeafd91b6c39ca5733228cd0e3a78cab">operations_research::sat::IntervalVar::StartVar</a></div><div class="ttdeci">IntVar StartVar() const</div><div class="ttdoc">Returns the start variable.</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8cc_source.html#l00296">cp_model.cc:296</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1IntervalsRepository_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1IntervalsRepository.html">operations_research::sat::IntervalsRepository</a></div><div class="ttdef"><b>Definition:</b> <a href="intervals_8h_source.html#l00045">intervals.h:45</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo_html_adb47ac0cff7c9dc4dc5f101d38a91185"><div class="ttname"><a href="structoperations__research_1_1sat_1_1ImpliedBoundsProcessor_1_1SlackInfo.html#adb47ac0cff7c9dc4dc5f101d38a91185">operations_research::sat::ImpliedBoundsProcessor::SlackInfo::lp_value</a></div><div class="ttdeci">double lp_value</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00084">cuts.h:84</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae3c495e2e05950c578b01976701f9b2a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">operations_research::sat::DivideByGCD</a></div><div class="ttdeci">void DivideByGCD(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00182">linear_constraint.cc:182</a></div></div>
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<div class="ttc" id="acuts_8h_html"><div class="ttname"><a href="cuts_8h.html">cuts.h</a></div></div>
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<div class="ttc" id="asat_2lp__utils_8cc_html_a88215c8581662c40eec0fb8621c44af3"><div class="ttname"><a href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a></div><div class="ttdeci">std::vector< double > upper_bounds</div><div class="ttdef"><b>Definition:</b> <a href="sat_2lp__utils_8cc_source.html#l00289">sat/lp_utils.cc:289</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac158f737c8653b1fc1bd294ea2d3412d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac158f737c8653b1fc1bd294ea2d3412d">operations_research::sat::CreateKnapsackCoverCutGenerator</a></div><div class="ttdeci">CutGenerator CreateKnapsackCoverCutGenerator(const std::vector< LinearConstraint > &base_constraints, const std::vector< IntegerVariable > &vars, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00422">cuts.cc:422</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1ImpliedBoundsProcessor_html_a19e26dd5481c4a596ad8e6458d13a25c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1ImpliedBoundsProcessor.html#a19e26dd5481c4a596ad8e6458d13a25c">operations_research::sat::ImpliedBoundsProcessor::ProcessUpperBoundedConstraint</a></div><div class="ttdeci">void ProcessUpperBoundedConstraint(const gtl::ITIVector< IntegerVariable, double > &lp_values, LinearConstraint *cut) const</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01303">cuts.cc:1303</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1LinearConstraintBuilder_html_a094a24aaf66d66b693e7e80a0222f040"><div class="ttname"><a href="classoperations__research_1_1sat_1_1LinearConstraintBuilder.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#l00047">linear_constraint.cc:47</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html_afa66a5ae5f09a131d7fdb338b8a212ba"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html#afa66a5ae5f09a131d7fdb338b8a212ba">operations_research::KnapsackSolverForCuts::GetUpperBound</a></div><div class="ttdeci">double GetUpperBound()</div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8h_source.html#l00319">knapsack_solver_for_cuts.h:319</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac8b530afe36cf1521c919ca43429926d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac8b530afe36cf1521c919ca43429926d">operations_research::sat::ConstraintIsTriviallyTrue</a></div><div class="ttdeci">bool ConstraintIsTriviallyTrue(const LinearConstraint &constraint, const IntegerTrail &integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00259">cuts.cc:259</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1KnapsackSolverForCuts_html_a902b91803b24fe467929767c65b6ee4f"><div class="ttname"><a href="classoperations__research_1_1KnapsackSolverForCuts.html#a902b91803b24fe467929767c65b6ee4f">operations_research::KnapsackSolverForCuts::Init</a></div><div class="ttdeci">void Init(const std::vector< double > &profits, const std::vector< double > &weights, const double capacity)</div><div class="ttdef"><b>Definition:</b> <a href="knapsack__solver__for__cuts_8cc_source.html#l00286">knapsack_solver_for_cuts.cc:286</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1LinearConstraint_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1LinearConstraint.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearConstraint::coeffs</a></div><div class="ttdeci">std::vector< IntegerValue > coeffs</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00043">linear_constraint.h:43</a></div></div>
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<div class="ttc" id="aintegral__types_8h_html_a74ea76ea27f48fb1b6e148e1577b3719"><div class="ttname"><a href="integral__types_8h.html#a74ea76ea27f48fb1b6e148e1577b3719">kint64max</a></div><div class="ttdeci">static const int64 kint64max</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00062">integral_types.h:62</a></div></div>
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