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 <span id="projectnumber">8.0</span>
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<div class="title">zero_half_cuts.cc</div> </div>
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<a href="zero__half__cuts_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="zero__half__cuts_8h.html">ortools/sat/zero_half_cuts.h</a>"</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">namespace </span>sat {</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
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<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136"> 19</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136">ZeroHalfCutHelper::Reset</a>(<span class="keywordtype">int</span> size) {</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  rows_.clear();</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  shifted_lp_values_.clear();</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  bound_parity_.clear();</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  col_to_rows_.clear();</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  col_to_rows_.resize(size);</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  tmp_marked_.resize(size);</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> }</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a329f7f126c4f5e81cae82065d7fb96d0"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a329f7f126c4f5e81cae82065d7fb96d0">ZeroHalfCutHelper::ProcessVariables</a>(</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">const</span> std::vector<double>& lp_values,</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">const</span> std::vector<IntegerValue>& <a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>,</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keyword">const</span> std::vector<IntegerValue>& <a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>) {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136">Reset</a>(lp_values.size());</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="comment">// Shift all variables to their closest bound.</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  lp_values_ = lp_values;</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < lp_values.size(); ++i) {</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> lb_dist = lp_values[i] - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i]);</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> ub_dist = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i]) - lp_values_[i];</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">if</span> (lb_dist < ub_dist) {</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  shifted_lp_values_.push_back(lb_dist);</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  bound_parity_.push_back(<a class="code" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>() & 1);</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  shifted_lp_values_.push_back(ub_dist);</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  bound_parity_.push_back(<a class="code" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>() & 1);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  }</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> }</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7"> 49</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">ZeroHalfCutHelper::AddBinaryRow</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html">CombinationOfRows</a>& binary_row) {</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// No point pushing an all zero row with a zero rhs.</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">if</span> (binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a6bf955ff7eba178a0dd6b9b2b8aaea33">cols</a>.empty() && !binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#ad672b27c7276e0a1588afb57c18afa11">rhs_parity</a>) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a6bf955ff7eba178a0dd6b9b2b8aaea33">cols</a>) {</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  col_to_rows_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].push_back(rows_.size());</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>  rows_.push_back(binary_row);</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> }</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
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<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#afbba3b7980ea3f2da0bbb57e1a0df4d6"> 58</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#afbba3b7980ea3f2da0bbb57e1a0df4d6">ZeroHalfCutHelper::AddOneConstraint</a>(</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">const</span> glop::RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>,</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">const</span> std::vector<std::pair<glop::ColIndex, IntegerValue>>& terms,</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  IntegerValue lb, IntegerValue ub) {</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">if</span> (terms.size() > kMaxInputConstraintSize) <span class="keywordflow">return</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">double</span> activity = 0.0;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  IntegerValue magnitude(0);</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html">CombinationOfRows</a> binary_row;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordtype">int</span> rhs_adjust = 0;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& term : terms) {</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = term.first.value();</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  activity += <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(term.second) * lp_values_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  magnitude = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(magnitude, <a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(term.second));</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// Only consider odd coefficient.</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">if</span> ((term.second.value() & 1) == 0) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// Ignore column in the binary matrix if its lp value is almost zero.</span></div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">if</span> (shifted_lp_values_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] > 1e-2) {</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a6bf955ff7eba178a0dd6b9b2b8aaea33">cols</a>.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// Because we work on the shifted variable, the rhs needs to be updated.</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  rhs_adjust ^= bound_parity_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// We ignore constraint with large coefficient, since there is little chance</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// to cancel them and because of that the efficacity of a generated cut will</span></div>
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|
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">// be limited.</span></div>
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|
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">if</span> (magnitude > kMaxInputConstraintMagnitude) <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// TODO(user): experiment with the best value. probably only tight rows are</span></div>
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|
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// best? and we could use the basis status rather than recomputing the</span></div>
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|
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">// activity for that.</span></div>
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|
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// TODO(user): Avoid adding duplicates and just randomly pick one. Note</span></div>
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|
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// that we should also remove duplicate in a generic way.</span></div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tighteness_threshold = 1e-2;</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub) - activity < tighteness_threshold) {</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a369301d86d45f16328f26624cdfcfcba">multipliers</a> = {{<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, IntegerValue(1)}};</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a62a9f2c91b6d4f5f872718e2dfecd061">slack</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub) - activity;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#ad672b27c7276e0a1588afb57c18afa11">rhs_parity</a> = (ub.value() & 1) ^ rhs_adjust;</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">AddBinaryRow</a>(binary_row);</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (activity - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb) < tighteness_threshold) {</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a369301d86d45f16328f26624cdfcfcba">multipliers</a> = {{<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, IntegerValue(-1)}};</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a62a9f2c91b6d4f5f872718e2dfecd061">slack</a> = activity - <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  binary_row.<a class="code" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#ad672b27c7276e0a1588afb57c18afa11">rhs_parity</a> = (lb.value() & 1) ^ rhs_adjust;</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">AddBinaryRow</a>(binary_row);</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> }</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5"> 111</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5">ZeroHalfCutHelper::SymmetricDifference</a>(</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  std::function<<span class="keywordtype">bool</span>(<span class="keywordtype">int</span>)> extra_condition, <span class="keyword">const</span> std::vector<int>& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>,</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  std::vector<int>* <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) {</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> v : *<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) tmp_marked_[v] = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> v : <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) {</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">if</span> (tmp_marked_[v]) {</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  tmp_marked_[v] = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  tmp_marked_[v] = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// TODO(user): optim by doing that at the end?</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>->push_back(v);</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  }</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// Remove position that are not marked, and clear tmp_marked_.</span></div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> v : *<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) {</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">if</span> (tmp_marked_[v]) {</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">if</span> (extra_condition(v)) {</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  (*b)[new_size++] = v;</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  tmp_marked_[v] = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  }</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>  <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>->resize(new_size);</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> }</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="keywordtype">void</span> ZeroHalfCutHelper::ProcessSingletonColumns() {</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> singleton_col : singleton_cols_) {</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">if</span> (col_to_rows_[singleton_col].empty()) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  CHECK_EQ(col_to_rows_[singleton_col].size(), 1);</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = col_to_rows_[singleton_col][0];</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keyword">auto</span>& mutable_cols = rows_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].cols;</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : mutable_cols) {</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> == singleton_col) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  mutable_cols[new_size++] = <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  CHECK_LT(new_size, mutable_cols.size());</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  mutable_cols.resize(new_size);</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  col_to_rows_[singleton_col].clear();</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  rows_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].slack += shifted_lp_values_[singleton_col];</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  }</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  singleton_cols_.clear();</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> }</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// This is basically one step of a Gaussian elimination with the given pivot.</span></div>
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<div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b"> 159</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b">ZeroHalfCutHelper::EliminateVarUsingRow</a>(<span class="keywordtype">int</span> eliminated_col,</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">int</span> eliminated_row) {</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  CHECK_LE(rows_[eliminated_row].slack, 1e-6);</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  CHECK(!rows_[eliminated_row].cols.empty());</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="comment">// First update the row representation of the matrix.</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  tmp_marked_.resize(<a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(col_to_rows_.size(), rows_.size()));</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  DCHECK(std::all_of(tmp_marked_.begin(), tmp_marked_.end(),</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  [](<span class="keywordtype">bool</span> <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) { return !b; }));</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> other_row : col_to_rows_[eliminated_col]) {</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">if</span> (other_row == eliminated_row) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  col_to_rows_[eliminated_col][new_size++] = other_row;</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>  <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5">SymmetricDifference</a>([](<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> <span class="keyword">true</span>; }, rows_[eliminated_row].cols,</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  &rows_[other_row].cols);</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// Update slack & parity.</span></div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  rows_[other_row].rhs_parity ^= rows_[eliminated_row].rhs_parity;</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  rows_[other_row].slack += rows_[eliminated_row].slack;</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">// Update the multipliers the same way.</span></div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  {</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">auto</span>& mutable_multipliers = rows_[other_row].multipliers;</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  mutable_multipliers.insert(mutable_multipliers.end(),</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  rows_[eliminated_row].multipliers.begin(),</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  rows_[eliminated_row].multipliers.end());</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  std::sort(mutable_multipliers.begin(), mutable_multipliers.end());</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& entry : mutable_multipliers) {</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordflow">if</span> (new_size > 0 && entry == mutable_multipliers[new_size - 1]) {</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="comment">// Cancel both.</span></div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  --new_size;</div>
|
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  mutable_multipliers[new_size++] = entry;</div>
|
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  }</div>
|
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  mutable_multipliers.resize(new_size);</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>  col_to_rows_[eliminated_col].resize(new_size);</div>
|
|
<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">// Then update the col representation of the matrix.</span></div>
|
|
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="comment">// Note that we remove from the col-wise representation any rows with a large</span></div>
|
|
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// slack.</span></div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  {</div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordtype">int</span> new_size = 0;</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> other_col : rows_[eliminated_row].cols) {</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">if</span> (other_col == eliminated_col) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> old_size = col_to_rows_[other_col].size();</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  rows_[eliminated_row].cols[new_size++] = other_col;</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5">SymmetricDifference</a>(</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  [<span class="keyword">this</span>](<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> rows_[i].slack < kSlackThreshold; },</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  col_to_rows_[eliminated_col], &col_to_rows_[other_col]);</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">if</span> (old_size != 1 && col_to_rows_[other_col].size() == 1) {</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  singleton_cols_.push_back(other_col);</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  rows_[eliminated_row].cols.resize(new_size);</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  </div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="comment">// Clear col.</span></div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  col_to_rows_[eliminated_col].clear();</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  rows_[eliminated_row].slack += shifted_lp_values_[eliminated_col];</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> std::vector<std::vector<std::pair<glop::RowIndex, IntegerValue>>></div>
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<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#af7012dee6abfab160a910241b61e1b1d"> 227</a></span> <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#af7012dee6abfab160a910241b61e1b1d">ZeroHalfCutHelper::InterestingCandidates</a>(<a class="code" href="structoperations__research_1_1sat_1_1_model_random_generator.html">ModelRandomGenerator</a>* random) {</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  std::vector<std::vector<std::pair<glop::RowIndex, IntegerValue>>> result;</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  </div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// Initialize singleton_cols_.</span></div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  singleton_cols_.clear();</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = 0; <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < col_to_rows_.size(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (col_to_rows_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].size() == 1) singleton_cols_.push_back(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  }</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  </div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="comment">// Process rows by increasing size, but randomize if same size.</span></div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  std::vector<int> to_process;</div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = 0; <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> < rows_.size(); ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) to_process.push_back(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  std::shuffle(to_process.begin(), to_process.end(), *random);</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  std::stable_sort(to_process.begin(), to_process.end(), [<span class="keyword">this</span>](<span class="keywordtype">int</span> <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, <span class="keywordtype">int</span> <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) {</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  return rows_[a].cols.size() < rows_[b].cols.size();</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  });</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  </div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : to_process) {</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  ProcessSingletonColumns();</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">if</span> (rows_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].cols.empty()) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keywordflow">if</span> (rows_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].slack > 1e-6) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">if</span> (rows_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].multipliers.size() > kMaxAggregationSize) <span class="keywordflow">continue</span>;</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">// Heuristic: eliminate the variable with highest shifted lp value.</span></div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordtype">int</span> eliminated_col = -1;</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordtype">double</span> max_lp_value = 0.0;</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : rows_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].cols) {</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">if</span> (shifted_lp_values_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] > max_lp_value) {</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  max_lp_value = shifted_lp_values_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  eliminated_col = <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  }</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">if</span> (eliminated_col == -1) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  </div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b">EliminateVarUsingRow</a>(eliminated_col, <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</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>  <span class="comment">// As an heuristic, we just try to add zero rows with an odd rhs and a low</span></div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">// enough slack.</span></div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : rows_) {</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.cols.empty() && <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.rhs_parity && <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.slack < kSlackThreshold) {</div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  result.push_back(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.multipliers);</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  }</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  }</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  VLOG(1) << <span class="stringliteral">"#candidates: "</span> << result.size() << <span class="stringliteral">" / "</span> << rows_.size();</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordflow">return</span> result;</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> }</div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  </div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> } <span class="comment">// namespace sat</span></div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> } <span class="comment">// namespace operations_research</span></div>
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</div><!-- fragment --></div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_af7012dee6abfab160a910241b61e1b1d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#af7012dee6abfab160a910241b61e1b1d">operations_research::sat::ZeroHalfCutHelper::InterestingCandidates</a></div><div class="ttdeci">std::vector< std::vector< std::pair< glop::RowIndex, IntegerValue > > > InterestingCandidates(ModelRandomGenerator *random)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00227">zero_half_cuts.cc:227</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a9d0c202d5fdd62f4fa2c613339ff168a"><div class="ttname"><a href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a></div><div class="ttdeci">int64 max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_a0cd2af6dbc5da51cd7cdd3b4219b66e7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">operations_research::sat::ZeroHalfCutHelper::AddBinaryRow</a></div><div class="ttdeci">void AddBinaryRow(const CombinationOfRows &binary_row)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00049">zero_half_cuts.cc:49</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_model_random_generator_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_model_random_generator.html">operations_research::sat::ModelRandomGenerator</a></div><div class="ttdef"><b>Definition:</b> <a href="sat_2util_8h_source.html#l00033">sat/util.h:33</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows_html_a62a9f2c91b6d4f5f872718e2dfecd061"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a62a9f2c91b6d4f5f872718e2dfecd061">operations_research::sat::ZeroHalfCutHelper::CombinationOfRows::slack</a></div><div class="ttdeci">double slack</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00075">zero_half_cuts.h:75</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows_html_ad672b27c7276e0a1588afb57c18afa11"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#ad672b27c7276e0a1588afb57c18afa11">operations_research::sat::ZeroHalfCutHelper::CombinationOfRows::rhs_parity</a></div><div class="ttdeci">int rhs_parity</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00072">zero_half_cuts.h:72</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_a1cebbddb8d43bec60cbbae102bd6a6e5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5">operations_research::sat::ZeroHalfCutHelper::SymmetricDifference</a></div><div class="ttdeci">void SymmetricDifference(std::function< bool(int)> extra_condition, const std::vector< int > &a, std::vector< int > *b)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00111">zero_half_cuts.cc:111</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html">operations_research::sat::ZeroHalfCutHelper::CombinationOfRows</a></div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00064">zero_half_cuts.h:64</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_af730895c6c6ef6e03caaf6251192dfd2"><div class="ttname"><a href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a></div><div class="ttdeci">int64 a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00042">constraint_solver/table.cc:42</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows_html_a6bf955ff7eba178a0dd6b9b2b8aaea33"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a6bf955ff7eba178a0dd6b9b2b8aaea33">operations_research::sat::ZeroHalfCutHelper::CombinationOfRows::cols</a></div><div class="ttdeci">std::vector< int > cols</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00069">zero_half_cuts.h:69</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1e30e51173c7e43a8c0b4668d5e3f050"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">operations_research::sat::IntTypeAbs</a></div><div class="ttdeci">IntType IntTypeAbs(IntType t)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00077">integer.h:77</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_a2f1661e59c567817452d568cfd59e136"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136">operations_research::sat::ZeroHalfCutHelper::Reset</a></div><div class="ttdeci">void Reset(int size)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00019">zero_half_cuts.cc:19</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_a329f7f126c4f5e81cae82065d7fb96d0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a329f7f126c4f5e81cae82065d7fb96d0">operations_research::sat::ZeroHalfCutHelper::ProcessVariables</a></div><div class="ttdeci">void ProcessVariables(const std::vector< double > &lp_values, const std::vector< IntegerValue > &lower_bounds, const std::vector< IntegerValue > &upper_bounds)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00028">zero_half_cuts.cc:28</a></div></div>
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<div class="ttc" id="azero__half__cuts_8h_html"><div class="ttname"><a href="zero__half__cuts_8h.html">zero_half_cuts.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aed77a1a7675c2f8568529a5a16247ec1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">operations_research::sat::ToDouble</a></div><div class="ttdeci">double ToDouble(IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00069">integer.h:69</a></div></div>
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<div class="ttc" id="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="amarkowitz_8cc_html_aea35f36ba98d5bbd8d033382f50c9e52"><div class="ttname"><a href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a></div><div class="ttdeci">RowIndex row</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00175">markowitz.cc:175</a></div></div>
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<div class="ttc" id="asat_2lp__utils_8cc_html_a561d7bf12fc7674b3fe0ad2ba2e175a0"><div class="ttname"><a href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a></div><div class="ttdeci">std::vector< double > lower_bounds</div><div class="ttdef"><b>Definition:</b> <a href="sat_2lp__utils_8cc_source.html#l00443">sat/lp_utils.cc:443</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_a0878d4f013921f646b839964ad02919b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b">operations_research::sat::ZeroHalfCutHelper::EliminateVarUsingRow</a></div><div class="ttdeci">void EliminateVarUsingRow(int col, int row)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00159">zero_half_cuts.cc:159</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_a344010e26426d6a13411648d988bc9b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a></div><div class="ttdeci">int64 b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00043">constraint_solver/table.cc:43</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_afbba3b7980ea3f2da0bbb57e1a0df4d6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#afbba3b7980ea3f2da0bbb57e1a0df4d6">operations_research::sat::ZeroHalfCutHelper::AddOneConstraint</a></div><div class="ttdeci">void AddOneConstraint(glop::RowIndex, const std::vector< std::pair< glop::ColIndex, IntegerValue >> &terms, IntegerValue lb, IntegerValue ub)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00058">zero_half_cuts.cc:58</a></div></div>
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<div class="ttc" id="asat_2lp__utils_8cc_html_a88215c8581662c40eec0fb8621c44af3"><div class="ttname"><a href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a></div><div class="ttdeci">std::vector< double > upper_bounds</div><div class="ttdef"><b>Definition:</b> <a href="sat_2lp__utils_8cc_source.html#l00444">sat/lp_utils.cc:444</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows_html_a369301d86d45f16328f26624cdfcfcba"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a369301d86d45f16328f26624cdfcfcba">operations_research::sat::ZeroHalfCutHelper::CombinationOfRows::multipliers</a></div><div class="ttdeci">std::vector< std::pair< glop::RowIndex, IntegerValue > > multipliers</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00066">zero_half_cuts.h:66</a></div></div>
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