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<div class="title">update_row.cc</div> </div>
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<a href="update__row_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="update__row_8h.html">ortools/glop/update_row.h</a>"</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include "<a class="code" href="lp__data_2lp__utils_8h.html">ortools/lp_data/lp_utils.h</a>"</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</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="l00019"></a><span class="lineno"> 19</span> <span class="keyword">namespace </span>glop {</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  </div>
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<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a69f5823dcd3e25a2f39ddc339ad58679"> 21</a></span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#a69f5823dcd3e25a2f39ddc339ad58679">UpdateRow::UpdateRow</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>& matrix,</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>& transposed_matrix,</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</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="l00024"></a><span class="lineno"> 24</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="l00025"></a><span class="lineno"> 25</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="l00026"></a><span class="lineno"> 26</span>  : matrix_(matrix),</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  transposed_matrix_(transposed_matrix),</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  variables_info_(variables_info),</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  basis_(basis),</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  basis_factorization_(basis_factorization),</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  unit_row_left_inverse_(),</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  non_zero_position_list_(),</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  non_zero_position_set_(),</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  coefficient_(),</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  compute_update_row_(true),</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  num_operations_(0),</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  parameters_(),</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  stats_() {}</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
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<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#ab9adfea0e765ab447b8ce7730a6cd812"> 40</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#ab9adfea0e765ab447b8ce7730a6cd812">UpdateRow::Invalidate</a>() {</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  compute_update_row_ = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> }</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
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<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a985c788192edce2013ad59d4f0c934cf"> 45</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#a985c788192edce2013ad59d4f0c934cf">UpdateRow::IgnoreUpdatePosition</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> >= coefficient_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>()) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  coefficient_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = 0.0;</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> }</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
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<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a0c3551dfd558be8edc0bd8d565cfca30"> 51</a></span> <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#a0c3551dfd558be8edc0bd8d565cfca30">UpdateRow::GetUnitRowLeftInverse</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!compute_update_row_);</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">return</span> unit_row_left_inverse_;</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> }</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
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<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a2355c817cae2bbd316f28aea2e842761"> 56</a></span> <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#a2355c817cae2bbd316f28aea2e842761">UpdateRow::ComputeAndGetUnitRowLeftInverse</a>(</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  RowIndex leaving_row) {</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_update_row.html#ab9adfea0e765ab447b8ce7730a6cd812">Invalidate</a>();</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  basis_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98">TemporaryLeftSolveForUnitRow</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(leaving_row),</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  &unit_row_left_inverse_);</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">return</span> unit_row_left_inverse_;</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> }</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="keywordtype">void</span> UpdateRow::ComputeUnitRowLeftInverse(RowIndex leaving_row) {</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  basis_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b">LeftSolveForUnitRow</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(leaving_row),</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  &unit_row_left_inverse_);</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">// TODO(user): Refactorize if the estimated accuracy is above a threshold.</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="stats_8h.html#a3c3e6b102f0d91c523099325c98e1887">IF_STATS_ENABLED</a>(stats_.unit_row_left_inverse_accuracy.Add(</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(basis_[leaving_row],</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>) -</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  1.0));</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="stats_8h.html#a3c3e6b102f0d91c523099325c98e1887">IF_STATS_ENABLED</a>(stats_.unit_row_left_inverse_density.Add(</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#a6b36bbbcd695191600dab9b88487ff18">Density</a>(unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>())));</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>  </div>
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<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#ac9f13d2561598d3a04b409dd7b4e1f0c"> 78</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#ac9f13d2561598d3a04b409dd7b4e1f0c">UpdateRow::ComputeUpdateRow</a>(RowIndex leaving_row) {</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">if</span> (!compute_update_row_ && update_row_computed_for_ == leaving_row) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  compute_update_row_ = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  update_row_computed_for_ = leaving_row;</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  ComputeUnitRowLeftInverse(leaving_row);</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</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="keywordflow">if</span> (parameters_.use_transposed_matrix()) {</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// Number of entries that ComputeUpdatesRowWise() will need to look at.</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  EntryIndex num_row_wise_entries(0);</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// Because we are about to do an expensive matrix-vector product, we make</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// sure we drop small entries in the vector for the row-wise algorithm. We</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// also computes its non-zeros to simplify the code below.</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// TODO(user): So far we didn't generalize the use of drop tolerances</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// everywhere in the solver, so we make sure to not modify</span></div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// unit_row_left_inverse_ that is also used elsewhere. However, because of</span></div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">// that, we will not get the exact same result depending on the algortihm</span></div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">// used below because the ComputeUpdatesColumnWise() will still use these</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// small entries (no complexity changes).</span></div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> drop_tolerance = parameters_.drop_tolerance();</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  unit_row_left_inverse_filtered_non_zeros_.clear();</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">if</span> (unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.empty()) {</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">const</span> ColIndex size = unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>();</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(0); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < size; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">if</span> (std::abs(unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) > drop_tolerance) {</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  unit_row_left_inverse_filtered_non_zeros_.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  num_row_wise_entries += transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afe3d36f3ba4f04442fbb36f8726f8baf">ColumnNumEntries</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> e : unit_row_left_inverse_) {</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">if</span> (std::abs(e.coefficient()) > drop_tolerance) {</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  unit_row_left_inverse_filtered_non_zeros_.push_back(e.column());</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  num_row_wise_entries +=</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afe3d36f3ba4f04442fbb36f8726f8baf">ColumnNumEntries</a>(e.column());</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>  }</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>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">// Number of entries that ComputeUpdatesColumnWise() will need to look at.</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">const</span> EntryIndex num_col_wise_entries =</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  variables_info_.<a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html#a403cb41e08b5ffb338d004c85ca0853a">GetNumEntriesInRelevantColumns</a>();</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">// Note that the thresholds were chosen (more or less) from the result of</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// the microbenchmark tests of this file in September 2013.</span></div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// TODO(user): automate the computation of these constants at run-time?</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> row_wise = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(num_row_wise_entries.value());</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">if</span> (row_wise < 0.5 * <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(num_col_wise_entries.value())) {</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">if</span> (row_wise < 1.1 * <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>().value())) {</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  ComputeUpdatesRowWiseHypersparse();</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  num_operations_ += num_row_wise_entries.value();</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  ComputeUpdatesRowWise();</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  num_operations_ +=</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  num_row_wise_entries.value() + matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>().value();</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="keywordflow">else</span> {</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  ComputeUpdatesColumnWise();</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  num_operations_ +=</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  num_col_wise_entries.value() + matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>().value();</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  }</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  ComputeUpdatesColumnWise();</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  num_operations_ +=</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  variables_info_.<a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html#a403cb41e08b5ffb338d004c85ca0853a">GetNumEntriesInRelevantColumns</a>().value() +</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>().value();</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  }</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="stats_8h.html#a3c3e6b102f0d91c523099325c98e1887">IF_STATS_ENABLED</a>(stats_.update_row_density.Add(</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(non_zero_position_list_.size()) /</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>().value())));</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>  </div>
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<div class="line"><a name="l00152"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a3e7cad3b8c461fe473b1bd98b6a24156"> 152</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#a3e7cad3b8c461fe473b1bd98b6a24156">UpdateRow::ComputeUpdateRowForBenchmark</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& lhs,</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">const</span> std::string& algorithm) {</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a> = lhs;</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a3e037ab543673629f84850a85c761132">ComputeNonZeros</a>(lhs, &unit_row_left_inverse_filtered_non_zeros_);</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">if</span> (algorithm == <span class="stringliteral">"column"</span>) {</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  ComputeUpdatesColumnWise();</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (algorithm == <span class="stringliteral">"row"</span>) {</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  ComputeUpdatesRowWise();</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (algorithm == <span class="stringliteral">"row_hypersparse"</span>) {</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  ComputeUpdatesRowWiseHypersparse();</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(DFATAL) << <span class="stringliteral">"Unknown algorithm in ComputeUpdateRowForBenchmark(): '"</span></div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  << algorithm << <span class="stringliteral">"'"</span>;</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  }</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> }</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
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<div class="line"><a name="l00168"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a30fddb9e35865ba28420bd52538a183f"> 168</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_update_row.html#a30fddb9e35865ba28420bd52538a183f">UpdateRow::GetCoefficients</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> coefficient_; }</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"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#af8e957f1c8389089554ded7bd2b7b45f"> 170</a></span> <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246">ColIndexVector</a>& <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#af8e957f1c8389089554ded7bd2b7b45f">UpdateRow::GetNonZeroPositions</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">return</span> non_zero_position_list_;</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>  </div>
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<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#ae7202d055b6b172a8a1da4f5b136f9ea"> 174</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#ae7202d055b6b172a8a1da4f5b136f9ea">UpdateRow::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="l00175"></a><span class="lineno"> 175</span>  parameters_ = <a class="code" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>;</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> }</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// This is optimized for the case when the total number of entries is about</span></div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// the same as, or greater than, the number of columns.</span></div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keywordtype">void</span> UpdateRow::ComputeUpdatesRowWise() {</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">const</span> ColIndex num_cols = matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>();</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  coefficient_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0">AssignToZero</a>(num_cols);</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : unit_row_left_inverse_filtered_non_zeros_) {</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier = unit_row_left_inverse_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keyword">const</span> ColIndex pos = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i));</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  coefficient_[pos] += multiplier * transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  }</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  </div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  non_zero_position_list_.clear();</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> drop_tolerance = parameters_.drop_tolerance();</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : variables_info_.<a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1">GetIsRelevantBitRow</a>()) {</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">if</span> (std::abs(coefficient_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) > drop_tolerance) {</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  non_zero_position_list_.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  }</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>  </div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// This is optimized for the case when the total number of entries is smaller</span></div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// than the number of columns.</span></div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="keywordtype">void</span> UpdateRow::ComputeUpdatesRowWiseHypersparse() {</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keyword">const</span> ColIndex num_cols = matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>();</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  non_zero_position_set_.<a class="code" href="classoperations__research_1_1_bitset64.html#a039b0192ce008be5451bc87ca5eea65c">ClearAndResize</a>(num_cols);</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  coefficient_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(num_cols, 0.0);</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : unit_row_left_inverse_filtered_non_zeros_) {</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier = unit_row_left_inverse_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">const</span> ColIndex pos = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i));</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> v = multiplier * transposed_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">if</span> (!non_zero_position_set_.<a class="code" href="classoperations__research_1_1_bitset64.html#aa454a4099ee887726b8f5b4a8ed1a81d">IsSet</a>(pos)) {</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// Note that we could create the non_zero_position_list_ here, but we</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="comment">// prefer to keep the non-zero positions sorted, so using the bitset is</span></div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="comment">// a good alernative. Of course if the solution is really really sparse,</span></div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="comment">// then sorting non_zero_position_list_ will be faster.</span></div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  coefficient_[pos] = v;</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  non_zero_position_set_.<a class="code" href="classoperations__research_1_1_bitset64.html#a76e58f3dd327215d28ea8c48f8c86009">Set</a>(pos);</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  coefficient_[pos] += v;</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>  }</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  </div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// Only keep in non_zero_position_set_ the relevant positions.</span></div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  non_zero_position_set_.<a class="code" href="classoperations__research_1_1_bitset64.html#a85894bdc427b871f2140cc0fb1967aa5">Intersection</a>(variables_info_.<a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1">GetIsRelevantBitRow</a>());</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  non_zero_position_list_.clear();</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> drop_tolerance = parameters_.drop_tolerance();</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zero_position_set_) {</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">// TODO(user): Since the solution is really sparse, maybe storing the</span></div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// non-zero coefficients contiguously in a vector is better than keeping</span></div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="comment">// them as they are. Note however that we will iterate only twice on the</span></div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="comment">// update row coefficients during an iteration.</span></div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordflow">if</span> (std::abs(coefficient_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) > drop_tolerance) {</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  non_zero_position_list_.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</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>  }</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> }</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  </div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// Note that we use the same algo as ComputeUpdatesColumnWise() here. The</span></div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// others version might be faster, but this is called only once per solve, so</span></div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment">// it shouldn't be too bad.</span></div>
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<div class="line"><a name="l00244"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_update_row.html#a7b39f45e976b642dac5b652e0a455e8f"> 244</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html#a7b39f45e976b642dac5b652e0a455e8f">UpdateRow::RecomputeFullUpdateRow</a>(RowIndex leaving_row) {</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!compute_update_row_);</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">const</span> ColIndex num_cols = matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>();</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> drop_tolerance = parameters_.drop_tolerance();</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  coefficient_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(num_cols, 0.0);</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  non_zero_position_list_.clear();</div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  </div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="comment">// Fills the only position at one in the basic columns.</span></div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  coefficient_[basis_[leaving_row]] = 1.0;</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  non_zero_position_list_.push_back(basis_[leaving_row]);</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="comment">// Fills the non-basic column.</span></div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : variables_info_.<a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html#a8e726c118c4449d9d3c5761e2853661a">GetNotBasicBitRow</a>()) {</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff =</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">if</span> (std::abs(coeff) > drop_tolerance) {</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  non_zero_position_list_.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  coefficient_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = coeff;</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>  }</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> }</div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  </div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="keywordtype">void</span> UpdateRow::ComputeUpdatesColumnWise() {</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&stats_);</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  </div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">const</span> ColIndex num_cols = matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>();</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> drop_tolerance = parameters_.drop_tolerance();</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  coefficient_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(num_cols, 0.0);</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  non_zero_position_list_.clear();</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : variables_info_.<a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1">GetIsRelevantBitRow</a>()) {</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="comment">// Coefficient of the column right inverse on the 'leaving_row'.</span></div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff =</div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, unit_row_left_inverse_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="comment">// Nothing to do if 'coeff' is (almost) zero which does happen due to</span></div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="comment">// sparsity. Note that it shouldn't be too bad to use a non-zero drop</span></div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="comment">// tolerance here because even if we introduce some precision issues, the</span></div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="comment">// quantities updated by this update row will eventually be recomputed.</span></div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">if</span> (std::abs(coeff) > drop_tolerance) {</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  non_zero_position_list_.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  coefficient_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = coeff;</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  }</div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  }</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>  </div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> } <span class="comment">// namespace glop</span></div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> } <span class="comment">// namespace operations_research</span></div>
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</div><!-- fragment --></div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="aclassoperations__research_1_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_strict_i_t_i_vector_html_a64b6b04f3a519d2c61d49daaa88bf06e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">operations_research::glop::StrictITIVector::resize</a></div><div class="ttdeci">void resize(IntType size)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00269">lp_types.h:269</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_bitset64_html_aa454a4099ee887726b8f5b4a8ed1a81d"><div class="ttname"><a href="classoperations__research_1_1_bitset64.html#aa454a4099ee887726b8f5b4a8ed1a81d">operations_research::Bitset64::IsSet</a></div><div class="ttdeci">bool IsSet(IndexType i) const</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00483">bitset.h:483</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a8e726c118c4449d9d3c5761e2853661a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a8e726c118c4449d9d3c5761e2853661a">operations_research::glop::VariablesInfo::GetNotBasicBitRow</a></div><div class="ttdeci">const DenseBitRow & GetNotBasicBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00119">variables_info.cc:119</a></div></div>
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<div class="ttc" id="astats_8h_html_a3c3e6b102f0d91c523099325c98e1887"><div class="ttname"><a href="stats_8h.html#a3c3e6b102f0d91c523099325c98e1887">IF_STATS_ENABLED</a></div><div class="ttdeci">#define IF_STATS_ENABLED(instructions)</div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00435">stats.h:435</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_accad43a85d781d53381cd53a9894b6ae"><div class="ttname"><a href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a></div><div class="ttdeci">#define LOG(severity)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00420">base/logging.h:420</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_a985c788192edce2013ad59d4f0c934cf"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a985c788192edce2013ad59d4f0c934cf">operations_research::glop::UpdateRow::IgnoreUpdatePosition</a></div><div class="ttdeci">void IgnoreUpdatePosition(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00045">update_row.cc:45</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_ac146d47daa294f7e6546c7569c9c881b"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">operations_research::glop::ScatteredVector::non_zeros</a></div><div class="ttdeci">std::vector< Index > non_zeros</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00062">scattered_vector.h:62</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">operations_research::glop::CompactSparseMatrix::num_rows</a></div><div class="ttdeci">RowIndex num_rows() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00344">sparse.h:344</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_aaef7fc778a29bb3bb3040c0423937f6e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">operations_research::glop::CompactSparseMatrix::EntryCoefficient</a></div><div class="ttdeci">Fractional EntryCoefficient(EntryIndex i) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00361">sparse.h:361</a></div></div>
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<div class="ttc" id="alp__data_2lp__utils_8h_html"><div class="ttname"><a href="lp__data_2lp__utils_8h.html">lp_utils.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a967a5c081ad4195a30c78dc2c0bcabf5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">operations_research::glop::StrictITIVector::size</a></div><div class="ttdeci">IntType size() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00276">lp_types.h:276</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_1glop_1_1_compact_sparse_matrix_html_a41741829541d089f1c4d34f190884813"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">operations_research::glop::CompactSparseMatrix::num_cols</a></div><div class="ttdeci">ColIndex num_cols() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00345">sparse.h:345</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a3e037ab543673629f84850a85c761132"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a3e037ab543673629f84850a85c761132">operations_research::glop::ComputeNonZeros</a></div><div class="ttdeci">void ComputeNonZeros(const StrictITIVector< IndexType, Fractional > &input, std::vector< IndexType > *non_zeros)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2lp__utils_8h_source.html#l00209">lp_data/lp_utils.h:209</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_ab9adfea0e765ab447b8ce7730a6cd812"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#ab9adfea0e765ab447b8ce7730a6cd812">operations_research::glop::UpdateRow::Invalidate</a></div><div class="ttdeci">void Invalidate()</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00040">update_row.cc:40</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a403cb41e08b5ffb338d004c85ca0853a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a403cb41e08b5ffb338d004c85ca0853a">operations_research::glop::VariablesInfo::GetNumEntriesInRelevantColumns</a></div><div class="ttdeci">EntryIndex GetNumEntriesInRelevantColumns() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00127">variables_info.cc:127</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="aclassoperations__research_1_1glop_1_1_update_row_html_a7b39f45e976b642dac5b652e0a455e8f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a7b39f45e976b642dac5b652e0a455e8f">operations_research::glop::UpdateRow::RecomputeFullUpdateRow</a></div><div class="ttdeci">void RecomputeFullUpdateRow(RowIndex leaving_row)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00244">update_row.cc:244</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a6b36bbbcd695191600dab9b88487ff18"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a6b36bbbcd695191600dab9b88487ff18">operations_research::glop::Density</a></div><div class="ttdeci">double Density(const DenseRow &row)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2lp__utils_8cc_source.html#l00106">lp_data/lp_utils.cc:106</a></div></div>
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<div class="ttc" id="astats_8h_html_a9995704aaaf45fc21e08c847551a8d04"><div class="ttname"><a href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a></div><div class="ttdeci">#define SCOPED_TIME_STAT(stats)</div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00436">stats.h:436</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a41b0509864e6eb62f0415975a914ba4b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b">operations_research::glop::BasisFactorization::LeftSolveForUnitRow</a></div><div class="ttdeci">void LeftSolveForUnitRow(ColIndex j, ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00364">basis_representation.cc:364</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a8fbc9efd86a3cc862a9079d86ab8b524"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">operations_research::glop::RowToColIndex</a></div><div class="ttdeci">ColIndex RowToColIndex(RowIndex row)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00048">lp_types.h:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_aedc46de5199e203b77de2eae2e4c100d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">operations_research::glop::CompactSparseMatrix::EntryRow</a></div><div class="ttdeci">RowIndex EntryRow(EntryIndex i) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00362">sparse.h:362</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_ac9f13d2561598d3a04b409dd7b4e1f0c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#ac9f13d2561598d3a04b409dd7b4e1f0c">operations_research::glop::UpdateRow::ComputeUpdateRow</a></div><div class="ttdeci">void ComputeUpdateRow(RowIndex leaving_row)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00078">update_row.cc:78</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_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< RowIndex, ColIndex ></a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a2b83a25cb4fd203c57a7155699fab246"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246">operations_research::glop::ColIndexVector</a></div><div class="ttdeci">std::vector< ColIndex > ColIndexVector</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00308">lp_types.h:308</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::UpdateRow::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &parameters)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00174">update_row.cc:174</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_row_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_row.html">operations_research::glop::ScatteredRow</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00192">scattered_vector.h:192</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a3de922485ca2c30f3e07d959dd97cdd0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0">operations_research::glop::StrictITIVector::AssignToZero</a></div><div class="ttdeci">void AssignToZero(IntType size)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00290">lp_types.h:290</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_a69f5823dcd3e25a2f39ddc339ad58679"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a69f5823dcd3e25a2f39ddc339ad58679">operations_research::glop::UpdateRow::UpdateRow</a></div><div class="ttdeci">UpdateRow(const CompactSparseMatrix &matrix, const CompactSparseMatrix &transposed_matrix, const VariablesInfo &variables_info, const RowToColMapping &basis, const BasisFactorization &basis_factorization)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00021">update_row.cc:21</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="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_afe3d36f3ba4f04442fbb36f8726f8baf"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afe3d36f3ba4f04442fbb36f8726f8baf">operations_research::glop::CompactSparseMatrix::ColumnNumEntries</a></div><div class="ttdeci">EntryIndex ColumnNumEntries(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00335">sparse.h:335</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_a30fddb9e35865ba28420bd52538a183f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a30fddb9e35865ba28420bd52538a183f">operations_research::glop::UpdateRow::GetCoefficients</a></div><div class="ttdeci">const DenseRow & GetCoefficients() const</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00168">update_row.cc:168</a></div></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="aclassoperations__research_1_1glop_1_1_variables_info_html_ac4385751c629a96a6d1ef5ac70af45e1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1">operations_research::glop::VariablesInfo::GetIsRelevantBitRow</a></div><div class="ttdeci">const DenseBitRow & GetIsRelevantBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00113">variables_info.cc:113</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_bitset64_html_a76e58f3dd327215d28ea8c48f8c86009"><div class="ttname"><a href="classoperations__research_1_1_bitset64.html#a76e58f3dd327215d28ea8c48f8c86009">operations_research::Bitset64::Set</a></div><div class="ttdeci">void Set(IndexType i)</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00493">bitset.h:493</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_a2355c817cae2bbd316f28aea2e842761"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a2355c817cae2bbd316f28aea2e842761">operations_research::glop::UpdateRow::ComputeAndGetUnitRowLeftInverse</a></div><div class="ttdeci">const ScatteredRow & ComputeAndGetUnitRowLeftInverse(RowIndex leaving_row)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00056">update_row.cc:56</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_a0c3551dfd558be8edc0bd8d565cfca30"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a0c3551dfd558be8edc0bd8d565cfca30">operations_research::glop::UpdateRow::GetUnitRowLeftInverse</a></div><div class="ttdeci">const ScatteredRow & GetUnitRowLeftInverse() const</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00051">update_row.cc:51</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_af8e957f1c8389089554ded7bd2b7b45f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#af8e957f1c8389089554ded7bd2b7b45f">operations_research::glop::UpdateRow::GetNonZeroPositions</a></div><div class="ttdeci">const ColIndexVector & GetNonZeroPositions() const</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00170">update_row.cc:170</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html_a3e7cad3b8c461fe473b1bd98b6a24156"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html#a3e7cad3b8c461fe473b1bd98b6a24156">operations_research::glop::UpdateRow::ComputeUpdateRowForBenchmark</a></div><div class="ttdeci">void ComputeUpdateRowForBenchmark(const DenseRow &lhs, const std::string &algorithm)</div><div class="ttdef"><b>Definition:</b> <a href="update__row_8cc_source.html#l00152">update_row.cc:152</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_compact_sparse_matrix_html_a60771349d1fcf262313b13a6a857c140"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">operations_research::glop::CompactSparseMatrix::Column</a></div><div class="ttdeci">::util::IntegerRange< EntryIndex > Column(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00358">sparse.h:358</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="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_abdd940ad64b555052b33e763b80aea26"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">operations_research::glop::CompactSparseMatrix::ColumnScalarProduct</a></div><div class="ttdeci">Fractional ColumnScalarProduct(ColIndex col, const DenseRow &vector) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00382">sparse.h:382</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_bitset64_html_a85894bdc427b871f2140cc0fb1967aa5"><div class="ttname"><a href="classoperations__research_1_1_bitset64.html#a85894bdc427b871f2140cc0fb1967aa5">operations_research::Bitset64::Intersection</a></div><div class="ttdeci">void Intersection(const Bitset64< IndexType > &other)</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00541">bitset.h:541</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_bitset64_html_a039b0192ce008be5451bc87ca5eea65c"><div class="ttname"><a href="classoperations__research_1_1_bitset64.html#a039b0192ce008be5451bc87ca5eea65c">operations_research::Bitset64::ClearAndResize</a></div><div class="ttdeci">void ClearAndResize(IndexType size)</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00438">bitset.h:438</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00495">base/logging.h:495</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="astructoperations__research_1_1glop_1_1_scattered_vector_html_ae0473e18a367af671dc3f08063c80da4"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">operations_research::glop::ScatteredVector::values</a></div><div class="ttdeci">StrictITIVector< Index, Fractional > values</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00057">scattered_vector.h:57</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a781d7728c278ae44bf265cf222479b98"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98">operations_research::glop::BasisFactorization::TemporaryLeftSolveForUnitRow</a></div><div class="ttdeci">void TemporaryLeftSolveForUnitRow(ColIndex j, ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00415">basis_representation.cc:415</a></div></div>
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