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<div class="title">reduced_costs.h</div> </div>
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<a href="reduced__costs_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#ifndef OR_TOOLS_GLOP_REDUCED_COSTS_H_</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#define OR_TOOLS_GLOP_REDUCED_COSTS_H_</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include "<a class="code" href="basis__representation_8h.html">ortools/glop/basis_representation.h</a>"</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "<a class="code" href="parameters_8pb_8h.html">ortools/glop/parameters.pb.h</a>"</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="primal__edge__norms_8h.html">ortools/glop/primal_edge_norms.h</a>"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="status_8h.html">ortools/glop/status.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="update__row_8h.html">ortools/glop/update_row.h</a>"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="variables__info_8h.html">ortools/glop/variables_info.h</a>"</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="lp__data_8h.html">ortools/lp_data/lp_data.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="lp__types_8h.html">ortools/lp_data/lp_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="scattered__vector_8h.html">ortools/lp_data/scattered_vector.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="random__engine_8h.html">ortools/util/random_engine.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="stats_8h.html">ortools/util/stats.h</a>"</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</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="l00030"></a><span class="lineno"> 30</span> <span class="keyword">namespace </span>glop {</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="comment">// Maintains the reduced costs of the non-basic variables and some related</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// quantities.</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// Terminology:</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// - To each non-basic column 'a' of A, we can associate an "edge" in the</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// kernel of A equal to 1.0 on the index of 'a' and '-B^{-1}.a' on the basic</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// variables.</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// - 'B^{-1}.a' is called the "right inverse" of 'a'.</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// - The reduced cost of a column is equal to the scalar product of this</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// column's edge with the cost vector (objective_), and corresponds to the</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// variation in the objective function when we add this edge to the current</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// solution.</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// - The dual values are the "left inverse" of the basic objective by B.</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// That is 'basic_objective_.B^{-1}'</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// - The reduced cost of a column is also equal to the scalar product of this</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// column with the vector of the dual values.</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html"> 48</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html">ReducedCosts</a> {</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// Takes references to the linear program data we need.</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a1e008630c00effb02317870ad521356e">ReducedCosts</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>& matrix_, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& objective,</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowToColMapping</a>& basis,</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html">VariablesInfo</a>& variables_info,</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html">BasisFactorization</a>& basis_factorization,</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b">random_engine_t</a>* random);</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// If this is true, then the caller must re-factorize the basis before the</span></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// next call to GetReducedCosts().</span></div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#af507437729fd1e93677772e748ca1cfc">NeedsBasisRefactorization</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// Checks the precision of the entering variable choice now that the direction</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// is computed, and return true if we can continue with this entering column,</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// or false if this column is actually not good and ChooseEnteringColumn()</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// need to be called again.</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5c1aa768eb415af87f5d87c4cec7291e">TestEnteringReducedCostPrecision</a>(ColIndex entering_col,</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>& direction,</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>* reduced_cost);</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// Computes the current dual residual and infeasibility. Note that these</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// functions are not really fast (many scalar products will be computed) and</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="comment">// shouldn't be called at each iteration. They will return 0.0 if the reduced</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="comment">// costs need to be recomputed first and fail in debug mode.</span></div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a3ec5e60bd3a327da7d43d0d5ba21ab17">ComputeMaximumDualResidual</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#aa84a93c1b6159eaddded3370f434aae8">ComputeMaximumDualInfeasibility</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#ac94752dc73c0d1b2365347839237e8e0">ComputeSumOfDualInfeasibilities</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">// Updates any internal data BEFORE the given simplex pivot is applied to B.</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// Note that no updates are needed in case of a bound flip.</span></div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// The arguments are in order:</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// - The index of the entering non-basic column of A.</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// - The index in B of the leaving basic variable.</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// - The 'direction', i.e. the right inverse of the entering column.</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a9a45fa5802a8fec70bec2fc6f9258056">UpdateBeforeBasisPivot</a>(ColIndex entering_col, RowIndex leaving_row,</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>& direction,</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html">UpdateRow</a>* update_row);</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="comment">// Once a pivot has been done, this need to be called on the column that just</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// left the basis before the next ChooseEnteringColumn(). On a bound flip,</span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// this must also be called with the variable that flipped.</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// In both cases, the variable should be dual-feasible by construction. This</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">// sets is_dual_infeasible_[col] to false and checks in debug mode that the</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// variable is indeed not an entering candidate.</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a74fea3dc78cd1ea3532f9959c4abfceb">SetAndDebugCheckThatColumnIsDualFeasible</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">// Sets the cost of the given non-basic variable to zero and updates its</span></div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">// reduced cost. Note that changing the cost of a non-basic variable only</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// impacts its reduced cost and not the one of any other variables.</span></div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// The current_cost pointer must be equal to the address of objective[col]</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// where objective is the DenseRow passed at construction.</span></div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a6601cb283594a187e1a513598f3a9b3d">SetNonBasicVariableCostToZero</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>* current_cost);</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// Sets the pricing parameters. This does not change the pricing rule.</span></div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#ae7202d055b6b172a8a1da4f5b136f9ea">SetParameters</a>(<span class="keyword">const</span> GlopParameters& <a class="code" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>);</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// Returns true if the current reduced costs are computed with maximum</span></div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// precision.</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5fa2e9840a56151a1bd964cb485d4fad"> 108</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5fa2e9840a56151a1bd964cb485d4fad">AreReducedCostsPrecise</a>() { <span class="keywordflow">return</span> are_reduced_costs_precise_; }</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="comment">// Returns true if the current reduced costs where just recomputed or will be</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">// on the next call to GetReducedCosts().</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5b05974f9610779eea6c8594ed42405c"> 112</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5b05974f9610779eea6c8594ed42405c">AreReducedCostsRecomputed</a>() {</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> recompute_reduced_costs_ || are_reduced_costs_recomputed_;</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  }</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">// Makes sure the next time the reduced cost are needed, they will be</span></div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// recomputed with maximum precision (i.e. from scratch with a basis</span></div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">// refactorization first).</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a4d2715d1aa0805cc72a6fdd909b575a2">MakeReducedCostsPrecise</a>();</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// Randomly perturb the costs. Both Koberstein and Huangfu recommend doing</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// that before the dual simplex starts in their Phd thesis.</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// The perturbation follows what is explained in Huangfu Q (2013) "High</span></div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// performance simplex solver", Ph.D, dissertation, University of Edinburgh,</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// section 3.2.3, page 58.</span></div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a30f0ce948222e17e5992ebd66493316e">PerturbCosts</a>();</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">// Shifts the cost of the given non-basic column such that its current reduced</span></div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="comment">// cost becomes 0.0. Actually, this shifts the cost a bit more, so that the</span></div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// reduced cost becomes slightly of the other sign.</span></div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// This is explained in Koberstein's thesis (section 6.2.2.3) and helps on</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// degenerate problems. As of july 2013, this allowed to pass dano3mip and</span></div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// dbic1 without cycling forever. Note that contrary to what is explained in</span></div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// the thesis, we do not shift any other variable costs. If any becomes</span></div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// infeasible, it will be selected and shifted in subsequent iterations.</span></div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a2dfd88b95d16c53f032f31e13ce8d233">ShiftCost</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  </div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">// Removes any cost shift and cost perturbation. This also lazily forces a</span></div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="comment">// recomputation of all the derived quantities. This effectively resets the</span></div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="comment">// class to its initial state.</span></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#ab621f81a664a0dc316f158e526dd17d6">ClearAndRemoveCostShifts</a>();</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="comment">// Invalidates all internal structure that depends on the objective function.</span></div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a385e5d3d11acfdf7a24318aaba18589c">ResetForNewObjective</a>();</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">// Sets whether or not the bitset of the dual infeasible positions is updated.</span></div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#aaa112dadb998636c5ccca0cf93c044f0">MaintainDualInfeasiblePositions</a>(<span class="keywordtype">bool</span> maintain);</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="comment">// Invalidates the data that depends on the order of the column in basis_.</span></div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#ac51f5d5ea0bb75f2f55e836527c43f58">UpdateDataOnBasisPermutation</a>();</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">// Returns the current reduced costs. If AreReducedCostsPrecise() is true,</span></div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">// then for basic columns, this gives the error between 'c_B' and 'y.B' and</span></div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="comment">// for non-basic columns, this is the classic reduced cost. If it is false,</span></div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="comment">// then this is defined only for the columns in</span></div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="comment">// variables_info_.GetIsRelevantBitRow().</span></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="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a9f7d17ed171863f104fbb2a450f89251">GetReducedCosts</a>();</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// Returns the non-basic columns that are dual-infeasible. These are also</span></div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="comment">// the primal simplex possible entering columns.</span></div>
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<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html#af70031c242af71554d75db3743129d24"> 163</a></span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#af70031c242af71554d75db3743129d24">GetDualInfeasiblePositions</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="comment">// TODO(user): recompute if needed?</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(are_dual_infeasible_positions_maintained_);</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">return</span> is_dual_infeasible_;</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>  </div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">// Returns the dual values associated to the current basis.</span></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>& <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#aafa77a9d37843a7c27694231735465bc">GetDualValues</a>();</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">// Stats related functions.</span></div>
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<div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html#af9bc435481ae9e6e60d66a65d5394a7f"> 173</a></span>  std::string <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#af9bc435481ae9e6e60d66a65d5394a7f">StatString</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> stats_.StatString(); }</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">// Returns the current dual feasibility tolerance.</span></div>
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<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html#aa6a9551b792028d16dc7123c80f429d1"> 176</a></span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#aa6a9551b792028d16dc7123c80f429d1">GetDualFeasibilityTolerance</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">return</span> dual_feasibility_tolerance_;</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  }</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">// Does basic checking of an entering candidate. To be used in DCHECK().</span></div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a64f77679a598b14d2c5b6455921fb07b">IsValidPrimalEnteringCandidate</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) <span class="keyword">const</span>;</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>  <span class="comment">// Visible for testing.</span></div>
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<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a8404fd3cb963c1a9d62724f3bb86bc4a"> 184</a></span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a8404fd3cb963c1a9d62724f3bb86bc4a">GetCostPerturbations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cost_perturbations_; }</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="comment">// Statistics about this class.</span></div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">struct </span>Stats : <span class="keyword">public</span> <a class="code" href="classoperations__research_1_1_stats_group.html">StatsGroup</a> {</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  Stats()</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  : <a class="code" href="classoperations__research_1_1_stats_group.html">StatsGroup</a>(<span class="stringliteral">"ReducedCosts"</span>),</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  basic_objective_left_inverse_density(</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="stringliteral">"basic_objective_left_inverse_density"</span>, this),</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  reduced_costs_accuracy(<span class="stringliteral">"reduced_costs_accuracy"</span>, this),</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  cost_shift(<span class="stringliteral">"cost_shift"</span>, this) {}</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="classoperations__research_1_1_ratio_distribution.html">RatioDistribution</a> basic_objective_left_inverse_density;</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> reduced_costs_accuracy;</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <a class="code" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> cost_shift;</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  };</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  </div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="comment">// Small utility function to be called before reduced_costs_ and/or</span></div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="comment">// is_dual_infeasible_ are accessed.</span></div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordtype">void</span> RecomputeReducedCostsAndPrimalEnteringCandidatesIfNeeded();</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">// All these Compute() functions fill the corresponding DenseRow using</span></div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="comment">// the current problem data.</span></div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordtype">void</span> ComputeBasicObjective();</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordtype">void</span> ComputeReducedCosts();</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordtype">void</span> ComputeBasicObjectiveLeftInverse();</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  </div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="comment">// Updates reduced_costs_ according to the given pivot. This adds a multiple</span></div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="comment">// of the vector equal to 1.0 on the leaving column and given by</span></div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="comment">// ComputeUpdateRow() on the non-basic columns. The multiple is such that the</span></div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="comment">// new leaving reduced cost is zero. If update_column_status is false, then</span></div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// is_dual_infeasible_ will not be updated.</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordtype">void</span> UpdateReducedCosts(ColIndex entering_col, ColIndex leaving_col,</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  RowIndex leaving_row, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> pivot,</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  UpdateRow* update_row);</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="comment">// Recomputes from scratch the is_dual_infeasible_ bit row. Note that an</span></div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="comment">// entering candidate is by definition a dual-infeasible variable.</span></div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordtype">void</span> ResetDualInfeasibilityBitSet();</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// Recomputes is_dual_infeasible_ but only for the given column indices.</span></div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> ColumnsToUpdate></div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordtype">void</span> UpdateEnteringCandidates(<span class="keyword">const</span> ColumnsToUpdate& cols);</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  </div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// Updates basic_objective_ according to the given pivot.</span></div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordtype">void</span> UpdateBasicObjective(ColIndex entering_col, RowIndex leaving_row);</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  </div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// Problem data that should be updated from outside.</span></div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">const</span> CompactSparseMatrix& matrix_;</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a>& objective_;</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ad73165f71f932e8ccc240d4db5097803">RowToColMapping</a>& basis_;</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">const</span> VariablesInfo& variables_info_;</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">const</span> BasisFactorization& basis_factorization_;</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b">random_engine_t</a>* random_;</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">// Internal data.</span></div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  GlopParameters parameters_;</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">mutable</span> Stats stats_;</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  </div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="comment">// Booleans to control what happens on the next ChooseEnteringColumn() call.</span></div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordtype">bool</span> must_refactorize_basis_;</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordtype">bool</span> recompute_basic_objective_left_inverse_;</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keywordtype">bool</span> recompute_basic_objective_;</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordtype">bool</span> recompute_reduced_costs_;</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// Indicates if we have computed the reduced costs with a good precision.</span></div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordtype">bool</span> are_reduced_costs_precise_;</div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordtype">bool</span> are_reduced_costs_recomputed_;</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  </div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="comment">// Values of the objective on the columns of the basis. The order is given by</span></div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="comment">// the basis_ mapping. It is usually denoted as 'c_B' in the literature .</span></div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> basic_objective_;</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">// Perturbations to the objective function. This may be introduced to</span></div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="comment">// counter degenerecency. It will be removed at the end of the algorithm.</span></div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> cost_perturbations_;</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="comment">// Reduced costs of the relevant columns of A.</span></div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> reduced_costs_;</div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  </div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="comment">// Left inverse by B of the basic_objective_. This is known as 'y' or 'pi' in</span></div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="comment">// the literature. Its scalar product with a column 'a' of A gives the value</span></div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="comment">// of the scalar product of the basic objective with the right inverse of 'a'.</span></div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="comment">// TODO(user): using the unit_row_left_inverse_, we can update the</span></div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// basic_objective_left_inverse_ at each iteration, this is not needed for the</span></div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="comment">// algorithm, but may gives us a good idea of the current precision of our</span></div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="comment">// estimates. It is also faster to compute the unit_row_left_inverse_ because</span></div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">// of sparsity.</span></div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  ScatteredRow basic_objective_left_inverse_;</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>  <span class="comment">// This is usually parameters_.dual_feasibility_tolerance() except when the</span></div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="comment">// dual residual error |y.B - c_B| is higher than it and we have to increase</span></div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="comment">// the tolerance.</span></div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> dual_feasibility_tolerance_;</div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  </div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="comment">// True for the columns that can enter the basis.</span></div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="comment">// TODO(user): Investigate using a list of ColIndex instead (but we need</span></div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// dynamic update and may lose the ordering of the indices).</span></div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#aaf3efa52c50a245bf2fc964386a15d49">DenseBitRow</a> is_dual_infeasible_;</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">// Indicates if the dual-infeasible positions are maintained or not.</span></div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordtype">bool</span> are_dual_infeasible_positions_maintained_;</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  </div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html#a1e008630c00effb02317870ad521356e">ReducedCosts</a>);</div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> };</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  </div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> } <span class="comment">// namespace glop</span></div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  </div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_GLOP_REDUCED_COSTS_H_</span></div>
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<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00884">base/logging.h:884</a></div></div>
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<div class="ttc" id="abasis__representation_8h_html"><div class="ttname"><a href="basis__representation_8h.html">basis_representation.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_bitset64_html"><div class="ttname"><a href="classoperations__research_1_1_bitset64.html">operations_research::Bitset64< ColIndex ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_double_distribution_html"><div class="ttname"><a href="classoperations__research_1_1_double_distribution.html">operations_research::DoubleDistribution</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00275">stats.h:275</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_ratio_distribution_html"><div class="ttname"><a href="classoperations__research_1_1_ratio_distribution.html">operations_research::RatioDistribution</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00263">stats.h:263</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_stats_group_html"><div class="ttname"><a href="classoperations__research_1_1_stats_group.html">operations_research::StatsGroup</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00131">stats.h:131</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html">operations_research::glop::BasisFactorization</a></div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8h_source.html#l00151">basis_representation.h:151</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">operations_research::glop::CompactSparseMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00288">sparse.h:288</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html">operations_research::glop::ReducedCosts</a></div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00048">reduced_costs.h:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a1e008630c00effb02317870ad521356e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a1e008630c00effb02317870ad521356e">operations_research::glop::ReducedCosts::ReducedCosts</a></div><div class="ttdeci">ReducedCosts(const CompactSparseMatrix &matrix_, const DenseRow &objective, const RowToColMapping &basis, const VariablesInfo &variables_info, const BasisFactorization &basis_factorization, random_engine_t *random)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00027">reduced_costs.cc:27</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a2dfd88b95d16c53f032f31e13ce8d233"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a2dfd88b95d16c53f032f31e13ce8d233">operations_research::glop::ReducedCosts::ShiftCost</a></div><div class="ttdeci">void ShiftCost(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00291">reduced_costs.cc:291</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a30f0ce948222e17e5992ebd66493316e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a30f0ce948222e17e5992ebd66493316e">operations_research::glop::ReducedCosts::PerturbCosts</a></div><div class="ttdeci">void PerturbCosts()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00240">reduced_costs.cc:240</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a385e5d3d11acfdf7a24318aaba18589c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a385e5d3d11acfdf7a24318aaba18589c">operations_research::glop::ReducedCosts::ResetForNewObjective</a></div><div class="ttdeci">void ResetForNewObjective()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00218">reduced_costs.cc:218</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a3ec5e60bd3a327da7d43d0d5ba21ab17"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a3ec5e60bd3a327da7d43d0d5ba21ab17">operations_research::glop::ReducedCosts::ComputeMaximumDualResidual</a></div><div class="ttdeci">Fractional ComputeMaximumDualResidual() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00113">reduced_costs.cc:113</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a4d2715d1aa0805cc72a6fdd909b575a2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a4d2715d1aa0805cc72a6fdd909b575a2">operations_research::glop::ReducedCosts::MakeReducedCostsPrecise</a></div><div class="ttdeci">void MakeReducedCostsPrecise()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00232">reduced_costs.cc:232</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a5b05974f9610779eea6c8594ed42405c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5b05974f9610779eea6c8594ed42405c">operations_research::glop::ReducedCosts::AreReducedCostsRecomputed</a></div><div class="ttdeci">bool AreReducedCostsRecomputed()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00112">reduced_costs.h:112</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a5c1aa768eb415af87f5d87c4cec7291e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5c1aa768eb415af87f5d87c4cec7291e">operations_research::glop::ReducedCosts::TestEnteringReducedCostPrecision</a></div><div class="ttdeci">bool TestEnteringReducedCostPrecision(ColIndex entering_col, const ScatteredColumn &direction, Fractional *reduced_cost)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00058">reduced_costs.cc:58</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a5fa2e9840a56151a1bd964cb485d4fad"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a5fa2e9840a56151a1bd964cb485d4fad">operations_research::glop::ReducedCosts::AreReducedCostsPrecise</a></div><div class="ttdeci">bool AreReducedCostsPrecise()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00108">reduced_costs.h:108</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a64f77679a598b14d2c5b6455921fb07b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a64f77679a598b14d2c5b6455921fb07b">operations_research::glop::ReducedCosts::IsValidPrimalEnteringCandidate</a></div><div class="ttdeci">bool IsValidPrimalEnteringCandidate(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00516">reduced_costs.cc:516</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a6601cb283594a187e1a513598f3a9b3d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a6601cb283594a187e1a513598f3a9b3d">operations_research::glop::ReducedCosts::SetNonBasicVariableCostToZero</a></div><div class="ttdeci">void SetNonBasicVariableCostToZero(ColIndex col, Fractional *current_cost)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00206">reduced_costs.cc:206</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a74fea3dc78cd1ea3532f9959c4abfceb"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a74fea3dc78cd1ea3532f9959c4abfceb">operations_research::glop::ReducedCosts::SetAndDebugCheckThatColumnIsDualFeasible</a></div><div class="ttdeci">void SetAndDebugCheckThatColumnIsDualFeasible(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00200">reduced_costs.cc:200</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a8404fd3cb963c1a9d62724f3bb86bc4a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a8404fd3cb963c1a9d62724f3bb86bc4a">operations_research::glop::ReducedCosts::GetCostPerturbations</a></div><div class="ttdeci">const DenseRow & GetCostPerturbations() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00184">reduced_costs.h:184</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a9a45fa5802a8fec70bec2fc6f9258056"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a9a45fa5802a8fec70bec2fc6f9258056">operations_research::glop::ReducedCosts::UpdateBeforeBasisPivot</a></div><div class="ttdeci">void UpdateBeforeBasisPivot(ColIndex entering_col, RowIndex leaving_row, const ScatteredColumn &direction, UpdateRow *update_row)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00176">reduced_costs.cc:176</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_a9f7d17ed171863f104fbb2a450f89251"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#a9f7d17ed171863f104fbb2a450f89251">operations_research::glop::ReducedCosts::GetReducedCosts</a></div><div class="ttdeci">const DenseRow & GetReducedCosts()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00318">reduced_costs.cc:318</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_aa6a9551b792028d16dc7123c80f429d1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#aa6a9551b792028d16dc7123c80f429d1">operations_research::glop::ReducedCosts::GetDualFeasibilityTolerance</a></div><div class="ttdeci">Fractional GetDualFeasibilityTolerance() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00176">reduced_costs.h:176</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_aa84a93c1b6159eaddded3370f434aae8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#aa84a93c1b6159eaddded3370f434aae8">operations_research::glop::ReducedCosts::ComputeMaximumDualInfeasibility</a></div><div class="ttdeci">Fractional ComputeMaximumDualInfeasibility() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00141">reduced_costs.cc:141</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_aaa112dadb998636c5ccca0cf93c044f0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#aaa112dadb998636c5ccca0cf93c044f0">operations_research::glop::ReducedCosts::MaintainDualInfeasiblePositions</a></div><div class="ttdeci">void MaintainDualInfeasiblePositions(bool maintain)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00311">reduced_costs.cc:311</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_aafa77a9d37843a7c27694231735465bc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#aafa77a9d37843a7c27694231735465bc">operations_research::glop::ReducedCosts::GetDualValues</a></div><div class="ttdeci">const DenseColumn & GetDualValues()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00324">reduced_costs.cc:324</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_ab621f81a664a0dc316f158e526dd17d6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#ab621f81a664a0dc316f158e526dd17d6">operations_research::glop::ReducedCosts::ClearAndRemoveCostShifts</a></div><div class="ttdeci">void ClearAndRemoveCostShifts()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00302">reduced_costs.cc:302</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_ac51f5d5ea0bb75f2f55e836527c43f58"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#ac51f5d5ea0bb75f2f55e836527c43f58">operations_research::glop::ReducedCosts::UpdateDataOnBasisPermutation</a></div><div class="ttdeci">void UpdateDataOnBasisPermutation()</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00226">reduced_costs.cc:226</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_ac94752dc73c0d1b2365347839237e8e0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#ac94752dc73c0d1b2365347839237e8e0">operations_research::glop::ReducedCosts::ComputeSumOfDualInfeasibilities</a></div><div class="ttdeci">Fractional ComputeSumOfDualInfeasibilities() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00159">reduced_costs.cc:159</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::ReducedCosts::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &parameters)</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00214">reduced_costs.cc:214</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_af507437729fd1e93677772e748ca1cfc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#af507437729fd1e93677772e748ca1cfc">operations_research::glop::ReducedCosts::NeedsBasisRefactorization</a></div><div class="ttdeci">bool NeedsBasisRefactorization() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8cc_source.html#l00054">reduced_costs.cc:54</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_af70031c242af71554d75db3743129d24"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#af70031c242af71554d75db3743129d24">operations_research::glop::ReducedCosts::GetDualInfeasiblePositions</a></div><div class="ttdeci">const DenseBitRow & GetDualInfeasiblePositions() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00163">reduced_costs.h:163</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_reduced_costs_html_af9bc435481ae9e6e60d66a65d5394a7f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_reduced_costs.html#af9bc435481ae9e6e60d66a65d5394a7f">operations_research::glop::ReducedCosts::StatString</a></div><div class="ttdeci">std::string StatString() const</div><div class="ttdef"><b>Definition:</b> <a href="reduced__costs_8h_source.html#l00173">reduced_costs.h:173</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">operations_research::glop::StrictITIVector< ColIndex, Fractional ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html">operations_research::glop::UpdateRow</a></div><div class="ttdef"><b>Definition:</b> <a href="update__row_8h_source.html#l00038">update_row.h:38</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html">operations_research::glop::VariablesInfo</a></div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00029">variables_info.h:29</a></div></div>
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<div class="ttc" id="acp__model__fz__solver_8cc_html_a10a1eab179b472c030bdc2a2efef7219"><div class="ttname"><a href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a></div><div class="ttdeci">SatParameters parameters</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__fz__solver_8cc_source.html#l00108">cp_model_fz_solver.cc:108</a></div></div>
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<div class="ttc" id="alp__data_8h_html"><div class="ttname"><a href="lp__data_8h.html">lp_data.h</a></div></div>
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<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
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<div class="ttc" id="amarkowitz_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c"><div class="ttname"><a href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a></div><div class="ttdeci">ColIndex col</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00176">markowitz.cc:176</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a4dc8ae0f97c4110f3cc770715b2bbd12"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">operations_research::glop::DenseRow</a></div><div class="ttdeci">StrictITIVector< ColIndex, Fractional > DenseRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00299">lp_types.h:299</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">operations_research::glop::Fractional</a></div><div class="ttdeci">double Fractional</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00077">lp_types.h:77</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_aaf3efa52c50a245bf2fc964386a15d49"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aaf3efa52c50a245bf2fc964386a15d49">operations_research::glop::DenseBitRow</a></div><div class="ttdeci">Bitset64< ColIndex > DenseBitRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00323">lp_types.h:323</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ad73165f71f932e8ccc240d4db5097803"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ad73165f71f932e8ccc240d4db5097803">operations_research::glop::RowToColMapping</a></div><div class="ttdeci">StrictITIVector< RowIndex, ColIndex > RowToColMapping</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00342">lp_types.h:342</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="anamespaceoperations__research_html_a6743e8c90bbb85a1017486ed70c7d29b"><div class="ttname"><a href="namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b">operations_research::random_engine_t</a></div><div class="ttdeci">std::mt19937 random_engine_t</div><div class="ttdef"><b>Definition:</b> <a href="random__engine_8h_source.html#l00023">random_engine.h:23</a></div></div>
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<div class="ttc" id="aparameters_8pb_8h_html"><div class="ttname"><a href="parameters_8pb_8h.html">parameters.pb.h</a></div></div>
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<div class="ttc" id="aprimal__edge__norms_8h_html"><div class="ttname"><a href="primal__edge__norms_8h.html">primal_edge_norms.h</a></div></div>
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<div class="ttc" id="arandom__engine_8h_html"><div class="ttname"><a href="random__engine_8h.html">random_engine.h</a></div></div>
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<div class="ttc" id="ascattered__vector_8h_html"><div class="ttname"><a href="scattered__vector_8h.html">scattered_vector.h</a></div></div>
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<div class="ttc" id="astats_8h_html"><div class="ttname"><a href="stats_8h.html">stats.h</a></div></div>
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<div class="ttc" id="astatus_8h_html"><div class="ttname"><a href="status_8h.html">status.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_column_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_column.html">operations_research::glop::ScatteredColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00190">scattered_vector.h:191</a></div></div>
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<div class="ttc" id="aupdate__row_8h_html"><div class="ttname"><a href="update__row_8h.html">update_row.h</a></div></div>
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<div class="ttc" id="avariables__info_8h_html"><div class="ttname"><a href="variables__info_8h.html">variables_info.h</a></div></div>
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