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317 lines
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<div class="title">entering_variable.h</div> </div>
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<a href="entering__variable_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_ENTERING_VARIABLE_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_ENTERING_VARIABLE_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="reduced__costs_8h.html">ortools/glop/reduced_costs.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="status_8h.html">ortools/glop/status.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="update__row_8h.html">ortools/glop/update_row.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="variables__info_8h.html">ortools/glop/variables_info.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__data_8h.html">ortools/lp_data/lp_data.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="lp__types_8h.html">ortools/lp_data/lp_types.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="bitset_8h.html">ortools/util/bitset.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="random__engine_8h.html">ortools/util/random_engine.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="stats_8h.html">ortools/util/stats.h</a>"</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#if !SWIG</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>glop {</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="comment">// This class contains the primal and dual algorithms that choose the entering</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// column (i.e. variable) during a simplex iteration.</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// The goal of this component is, given a matrix A (matrix_), a subset of</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// columns (basis_) that form a basis B and a cost (objective_) associated to</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// each column of A, to choose a "good" non-basic column to enter the basis</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// B. Note that this choice does not depend on the current variable values</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// (except for the direction in which each variable is allowed to change given</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// by variable_status_).</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// Terminology:</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// - The entering edge is the edge we are following during a simplex step,</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// and we call "direction" the reverse of this edge restricted to the</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// basic variables, i.e. the right inverse of the entering column.</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// Papers:</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// - Ping-Qi Pan, "Efficient nested pricing in the simplex algorithm",</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// http://www.optimization-online.org/DB_FILE/2007/10/1810.pdf</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_entering_variable.html"> 53</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html">EnteringVariable</a> {</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// Takes references to the linear program data we need.</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#a89f8a547d5b7781ed931411543cc3178">EnteringVariable</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html">VariablesInfo</a>& variables_info, <a class="code" href="namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b">random_engine_t</a>* random,</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html">ReducedCosts</a>* reduced_costs,</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html">PrimalEdgeNorms</a>* primal_edge_norms);</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// Returns the index of a valid primal entering column (see</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// IsValidPrimalEnteringCandidate() for more details) or kInvalidCol if no</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// such column exists. This latter case means that the primal algorithm has</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// terminated: the optimal has been reached.</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  ABSL_MUST_USE_RESULT <a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#a47f0e702c155e2cf5c48d8a9a7d0b434">PrimalChooseEnteringColumn</a>(ColIndex* entering_col);</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// Dual optimization phase (i.e. phase II) ratio test.</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// Returns the index of the entering column given that we want to move along</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// the "update" row vector in the direction given by the sign of</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// cost_variation. Computes the smallest step that keeps the dual feasibility</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="comment">// for all the columns.</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  ABSL_MUST_USE_RESULT <a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#a5f7903563e698189cc516ed6a5496a9a">DualChooseEnteringColumn</a>(</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html">UpdateRow</a>& update_row, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> cost_variation,</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  std::vector<ColIndex>* bound_flip_candidates, ColIndex* entering_col,</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>* step);</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">// Dual feasibility phase (i.e. phase I) ratio test.</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// Similar to the optimization phase test, but allows a step that increases</span></div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// the infeasibility of an already infeasible column. The step magnitude is</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// the one that minimize the sum of infeasibilities when applied.</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  ABSL_MUST_USE_RESULT <a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#ab86e98881b35d34abe244a4dd776c7f6">DualPhaseIChooseEnteringColumn</a>(</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html">UpdateRow</a>& update_row, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> cost_variation,</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  ColIndex* entering_col, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>* step);</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</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="l00086"></a><span class="lineno"> 86</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.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="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// Sets the pricing rule.</span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#ad3a8fd026015306e23a8ed6889b48f18">SetPricingRule</a>(GlopParameters::PricingRule rule);</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// Stats related functions.</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_entering_variable.html#af9bc435481ae9e6e60d66a65d5394a7f"> 92</a></span>  std::string <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.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="l00093"></a><span class="lineno"> 93</span>  </div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// Recomputes the set of unused columns used during nested pricing.</span></div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// Visible for testing (the returns value is also there for testing).</span></div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>* <a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#a2a939bd2d3e5cb2dfdf1e03e75b4a548">ResetUnusedColumns</a>();</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>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// Dantzig selection rule: choose the variable with the best reduced cost.</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// If normalize is true, we normalize the costs by the column norms.</span></div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// If nested_pricing is true, we use nested pricing (see parameters.proto).</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">template</span> <<span class="keywordtype">bool</span> normalize, <span class="keywordtype">bool</span> nested_pricing></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">void</span> DantzigChooseEnteringColumn(ColIndex* entering_col);</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// Steepest edge rule: the reduced costs are normalized by the edges norm.</span></div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// Devex rule: the reduced costs are normalized by an approximation of the</span></div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// edges norm.</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">template</span> <<span class="keywordtype">bool</span> use_steepest_edge></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordtype">void</span> NormalizedChooseEnteringColumn(ColIndex* entering_col);</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">// Problem data that should be updated from outside.</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</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="l00113"></a><span class="lineno"> 113</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="namespaceoperations__research.html#a6743e8c90bbb85a1017486ed70c7d29b">random_engine_t</a>* random_;</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classoperations__research_1_1glop_1_1_reduced_costs.html">ReducedCosts</a>* reduced_costs_;</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html">PrimalEdgeNorms</a>* primal_edge_norms_;</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">// Internal data.</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  GlopParameters parameters_;</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  GlopParameters::PricingRule rule_;</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// Stats.</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</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="l00124"></a><span class="lineno"> 124</span>  Stats()</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  : <a class="code" href="classoperations__research_1_1_stats_group.html">StatsGroup</a>(<span class="stringliteral">"EnteringVariable"</span>),</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  num_perfect_ties(<span class="stringliteral">"num_perfect_ties"</span>, this) {}</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="classoperations__research_1_1_integer_distribution.html">IntegerDistribution</a> num_perfect_ties;</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>  Stats stats_;</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// This is used for nested pricing. It is denoted J in Ping-Qi Pan's paper.</span></div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="comment">// At a given step, it is true for the variable that should be considered for</span></div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// entering the basis.</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#aaf3efa52c50a245bf2fc964386a15d49">DenseBitRow</a> unused_columns_;</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// Temporary vector used to hold the best entering column candidates that are</span></div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// tied using the current choosing criteria. We actually only store the tied</span></div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// candidate #2, #3, ...; because the first tied candidate is remembered</span></div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="comment">// anyway.</span></div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  std::vector<ColIndex> equivalent_entering_choices_;</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="comment">// Store a column with its update coefficient and ratio.</span></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="comment">// This is used during the dual phase I & II ratio tests.</span></div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keyword">struct </span>ColWithRatio {</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  ColWithRatio(ColIndex _col, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> reduced_cost, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff_m)</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  : <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(_col), <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a>(reduced_cost / coeff_m), <a class="code" href="revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be">coeff_magnitude</a>(coeff_m) {}</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">// Returns false if "this" is before "other" in a priority queue.</span></div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordtype">bool</span> operator<(<span class="keyword">const</span> ColWithRatio& other)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">if</span> (<a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> == other.ratio) {</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">if</span> (<a class="code" href="revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be">coeff_magnitude</a> == other.coeff_magnitude) {</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">return</span> <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> > other.col;</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="keywordflow">return</span> <a class="code" href="revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be">coeff_magnitude</a> < other.coeff_magnitude;</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">return</span> <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a> > other.ratio;</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  }</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="revised__simplex_8cc.html#af01c50e388647c921aa7d9c77f2b72b2">ratio</a>;</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be">coeff_magnitude</a>;</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  };</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="comment">// Temporary vector used to hold breakpoints.</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  std::vector<ColWithRatio> breakpoints_;</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>  DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1glop_1_1_entering_variable.html#a89f8a547d5b7781ed931411543cc3178">EnteringVariable</a>);</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>  </div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> } <span class="comment">// namespace glop</span></div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="preprocessor">#endif // SWIG</span></div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="preprocessor">#endif // OR_TOOLS_GLOP_ENTERING_VARIABLE_H_</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_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="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_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="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="aclassoperations__research_1_1glop_1_1_entering_variable_html_ab86e98881b35d34abe244a4dd776c7f6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#ab86e98881b35d34abe244a4dd776c7f6">operations_research::glop::EnteringVariable::DualPhaseIChooseEnteringColumn</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status DualPhaseIChooseEnteringColumn(const UpdateRow &update_row, Fractional cost_variation, ColIndex *entering_col, Fractional *step)</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00268">entering_variable.cc:268</a></div></div>
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<div class="ttc" id="arevised__simplex_8cc_html_a773239be94b6b64ba8fa2367b86776be"><div class="ttname"><a href="revised__simplex_8cc.html#a773239be94b6b64ba8fa2367b86776be">coeff_magnitude</a></div><div class="ttdeci">Fractional coeff_magnitude</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l01803">revised_simplex.cc:1803</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_status_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_status.html">operations_research::glop::Status</a></div><div class="ttdef"><b>Definition:</b> <a href="status_8h_source.html#l00024">status.h:24</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="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_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="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="aclassoperations__research_1_1glop_1_1_entering_variable_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html">operations_research::glop::EnteringVariable</a></div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8h_source.html#l00053">entering_variable.h:53</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="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="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#l01802">revised_simplex.cc:1802</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_integer_distribution_html"><div class="ttname"><a href="classoperations__research_1_1_integer_distribution.html">operations_research::IntegerDistribution</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00287">stats.h:287</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="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="aclassoperations__research_1_1glop_1_1_entering_variable_html_a47f0e702c155e2cf5c48d8a9a7d0b434"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#a47f0e702c155e2cf5c48d8a9a7d0b434">operations_research::glop::EnteringVariable::PrimalChooseEnteringColumn</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status PrimalChooseEnteringColumn(ColIndex *entering_col)</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00037">entering_variable.cc:37</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_entering_variable_html_a2a939bd2d3e5cb2dfdf1e03e75b4a548"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#a2a939bd2d3e5cb2dfdf1e03e75b4a548">operations_research::glop::EnteringVariable::ResetUnusedColumns</a></div><div class="ttdeci">DenseBitRow * ResetUnusedColumns()</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00380">entering_variable.cc:380</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_entering_variable_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::EnteringVariable::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &parameters)</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00372">entering_variable.cc:372</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="areduced__costs_8h_html"><div class="ttname"><a href="reduced__costs_8h.html">reduced_costs.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_entering_variable_html_af9bc435481ae9e6e60d66a65d5394a7f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#af9bc435481ae9e6e60d66a65d5394a7f">operations_research::glop::EnteringVariable::StatString</a></div><div class="ttdeci">std::string StatString() const</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8h_source.html#l00092">entering_variable.h:92</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="aclassoperations__research_1_1glop_1_1_entering_variable_html_ad3a8fd026015306e23a8ed6889b48f18"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#ad3a8fd026015306e23a8ed6889b48f18">operations_research::glop::EnteringVariable::SetPricingRule</a></div><div class="ttdeci">void SetPricingRule(GlopParameters::PricingRule rule)</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00376">entering_variable.cc:376</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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<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="aclassoperations__research_1_1glop_1_1_entering_variable_html_a89f8a547d5b7781ed931411543cc3178"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#a89f8a547d5b7781ed931411543cc3178">operations_research::glop::EnteringVariable::EnteringVariable</a></div><div class="ttdeci">EnteringVariable(const VariablesInfo &variables_info, random_engine_t *random, ReducedCosts *reduced_costs, PrimalEdgeNorms *primal_edge_norms)</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00025">entering_variable.cc:25</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="astatus_8h_html"><div class="ttname"><a href="status_8h.html">status.h</a></div></div>
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<div class="ttc" id="abitset_8h_html"><div class="ttname"><a href="bitset_8h.html">bitset.h</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="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="aclassoperations__research_1_1glop_1_1_entering_variable_html_a5f7903563e698189cc516ed6a5496a9a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_entering_variable.html#a5f7903563e698189cc516ed6a5496a9a">operations_research::glop::EnteringVariable::DualChooseEnteringColumn</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status DualChooseEnteringColumn(const UpdateRow &update_row, Fractional cost_variation, std::vector< ColIndex > *bound_flip_candidates, ColIndex *entering_col, Fractional *step)</div><div class="ttdef"><b>Definition:</b> <a href="entering__variable_8cc_source.html#l00089">entering_variable.cc:89</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html">operations_research::glop::PrimalEdgeNorms</a></div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00054">primal_edge_norms.h:54</a></div></div>
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