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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 id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" 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>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &quot;<a class="code" href="zero__half__cuts_8h.html">ortools/sat/zero_half_cuts.h</a>&quot;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;functional&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2util_8h.html">ortools/sat/util.h</a>&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &quot;<a class="code" href="strong__integers_8h.html">ortools/util/strong_integers.h</a>&quot;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136"> 30</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136">ZeroHalfCutHelper::Reset</a>(<span class="keywordtype">int</span> size) {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> rows_.clear();</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> shifted_lp_values_.clear();</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> bound_parity_.clear();</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> col_to_rows_.clear();</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> col_to_rows_.resize(size);</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> tmp_marked_.resize(size);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>}</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a329f7f126c4f5e81cae82065d7fb96d0"> 39</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a329f7f126c4f5e81cae82065d7fb96d0">ZeroHalfCutHelper::ProcessVariables</a>(</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">const</span> std::vector&lt;double&gt;&amp; lp_values,</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; <a class="code hl_variable" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>,</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; <a class="code hl_variable" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a2f1661e59c567817452d568cfd59e136">Reset</a>(lp_values.size());</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// Shift all variables to their closest bound.</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> lp_values_ = lp_values;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; lp_values.size(); ++i) {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb_dist = lp_values[i] - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i]);</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub_dist = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i]) - lp_values_[i];</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">if</span> (lb_dist &lt; ub_dist) {</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> shifted_lp_values_.push_back(lb_dist);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> bound_parity_.push_back(<a class="code hl_variable" href="sat_2lp__utils_8cc.html#a561d7bf12fc7674b3fe0ad2ba2e175a0">lower_bounds</a>[i].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>() &amp; 1);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> shifted_lp_values_.push_back(ub_dist);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> bound_parity_.push_back(<a class="code hl_variable" href="sat_2lp__utils_8cc.html#a88215c8581662c40eec0fb8621c44af3">upper_bounds</a>[i].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>() &amp; 1);</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> }</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span>}</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7"> 60</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">ZeroHalfCutHelper::AddBinaryRow</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html">CombinationOfRows</a>&amp; binary_row) {</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// No point pushing an all zero row with a zero rhs.</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">if</span> (binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a6bf955ff7eba178a0dd6b9b2b8aaea33">cols</a>.empty() &amp;&amp; !binary_row.<a class="code hl_variable" 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>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a6bf955ff7eba178a0dd6b9b2b8aaea33">cols</a>) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> col_to_rows_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].push_back(rows_.size());</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> rows_.push_back(binary_row);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>}</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a5ee01a4c637125095a16a5c23bd227a3"> 69</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a5ee01a4c637125095a16a5c23bd227a3">ZeroHalfCutHelper::AddOneConstraint</a>(</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">const</span> glop::RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>,</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">const</span> std::vector&lt;std::pair&lt;glop::ColIndex, IntegerValue&gt;&gt;&amp; terms,</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> IntegerValue lb, IntegerValue ub) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">if</span> (terms.size() &gt; kMaxInputConstraintSize) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">double</span> activity = 0.0;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> IntegerValue magnitude(0);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html">CombinationOfRows</a> binary_row;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordtype">int</span> rhs_adjust = 0;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; term : terms) {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = term.first.value();</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> activity += <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(term.second) * lp_values_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> magnitude = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(magnitude, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(term.second));</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// Only consider odd coefficient.</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> ((term.second.value() &amp; 1) == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// Ignore column in the binary matrix if its lp value is almost zero.</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">if</span> (shifted_lp_values_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] &gt; 1e-2) {</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> binary_row.<a class="code hl_variable" 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 hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Because we work on the shifted variable, the rhs needs to be updated.</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> rhs_adjust ^= bound_parity_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> }</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// We ignore constraint with large coefficient, since there is little chance</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// to cancel them and because of that the efficacity of a generated cut will</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// be limited.</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">if</span> (magnitude &gt; kMaxInputConstraintMagnitude) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// TODO(user): experiment with the best value. probably only tight rows are</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// best? and we could use the basis status rather than recomputing the</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// activity for that.</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">//</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// TODO(user): Avoid adding duplicates and just randomly pick one. Note</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// that we should also remove duplicate in a generic way.</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">const</span> <span class="keywordtype">double</span> tighteness_threshold = 1e-2;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub) - activity &lt; tighteness_threshold) {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a369301d86d45f16328f26624cdfcfcba">multipliers</a> = {{<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, IntegerValue(1)}};</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a62a9f2c91b6d4f5f872718e2dfecd061">slack</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub) - activity;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#ad672b27c7276e0a1588afb57c18afa11">rhs_parity</a> = (ub.value() &amp; 1) ^ rhs_adjust;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">AddBinaryRow</a>(binary_row);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (activity - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb) &lt; tighteness_threshold) {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a369301d86d45f16328f26624cdfcfcba">multipliers</a> = {{<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, IntegerValue(-1)}};</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#a62a9f2c91b6d4f5f872718e2dfecd061">slack</a> = activity - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> binary_row.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_zero_half_cut_helper_1_1_combination_of_rows.html#ad672b27c7276e0a1588afb57c18afa11">rhs_parity</a> = (lb.value() &amp; 1) ^ rhs_adjust;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0cd2af6dbc5da51cd7cdd3b4219b66e7">AddBinaryRow</a>(binary_row);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span>}</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5"> 122</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5">ZeroHalfCutHelper::SymmetricDifference</a>(</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::function&lt;<span class="keywordtype">bool</span>(<span class="keywordtype">int</span>)&gt; extra_condition, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::vector&lt;int&gt;* <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> v : *<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) tmp_marked_[v] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> v : <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>) {</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">if</span> (tmp_marked_[v]) {</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> tmp_marked_[v] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> tmp_marked_[v] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// TODO(user): optim by doing that at the end?</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>-&gt;push_back(v);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> }</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> }</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// Remove position that are not marked, and clear tmp_marked_.</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> v : *<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">if</span> (tmp_marked_[v]) {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordflow">if</span> (extra_condition(v)) {</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> (*b)[new_size++] = v;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> }</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> tmp_marked_[v] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> }</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>-&gt;resize(new_size);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>}</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="keywordtype">void</span> ZeroHalfCutHelper::ProcessSingletonColumns() {</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> singleton_col : singleton_cols_) {</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">if</span> (col_to_rows_[singleton_col].empty()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(col_to_rows_[singleton_col].size(), 1);</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = col_to_rows_[singleton_col][0];</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">auto</span>&amp; mutable_cols = rows_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].cols;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : mutable_cols) {</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> == singleton_col) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> mutable_cols[new_size++] = <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> }</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(new_size, mutable_cols.size());</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> mutable_cols.resize(new_size);</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> col_to_rows_[singleton_col].clear();</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> rows_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].slack += shifted_lp_values_[singleton_col];</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> }</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> singleton_cols_.clear();</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span>}</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span><span class="comment">// This is basically one step of a Gaussian elimination with the given pivot.</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b"> 170</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b">ZeroHalfCutHelper::EliminateVarUsingRow</a>(<span class="keywordtype">int</span> eliminated_col,</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordtype">int</span> eliminated_row) {</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_define" href="base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c">CHECK_LE</a>(rows_[eliminated_row].slack, 1e-6);</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!rows_[eliminated_row].cols.empty());</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// First update the row representation of the matrix.</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> tmp_marked_.resize(<a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(col_to_rows_.size(), rows_.size()));</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(std::all_of(tmp_marked_.begin(), tmp_marked_.end(),</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> [](<span class="keywordtype">bool</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) { return !b; }));</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> other_row : col_to_rows_[eliminated_col]) {</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">if</span> (other_row == eliminated_row) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> col_to_rows_[eliminated_col][new_size++] = other_row;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <a class="code hl_function" 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>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> &amp;rows_[other_row].cols);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">// Update slack &amp; parity.</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> rows_[other_row].rhs_parity ^= rows_[eliminated_row].rhs_parity;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> rows_[other_row].slack += rows_[eliminated_row].slack;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// Update the multipliers the same way.</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> {</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keyword">auto</span>&amp; mutable_multipliers = rows_[other_row].multipliers;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> mutable_multipliers.insert(mutable_multipliers.end(),</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> rows_[eliminated_row].multipliers.begin(),</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> rows_[eliminated_row].multipliers.end());</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> std::sort(mutable_multipliers.begin(), mutable_multipliers.end());</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; entry : mutable_multipliers) {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordflow">if</span> (new_size &gt; 0 &amp;&amp; entry == mutable_multipliers[new_size - 1]) {</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// Cancel both.</span></div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> --new_size;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> mutable_multipliers[new_size++] = entry;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> }</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> }</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> mutable_multipliers.resize(new_size);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> }</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> }</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> col_to_rows_[eliminated_col].resize(new_size);</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// Then update the col representation of the matrix.</span></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="comment">//</span></div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// Note that we remove from the col-wise representation any rows with a large</span></div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// slack.</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> other_col : rows_[eliminated_row].cols) {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">if</span> (other_col == eliminated_col) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">const</span> <span class="keywordtype">int</span> old_size = col_to_rows_[other_col].size();</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> rows_[eliminated_row].cols[new_size++] = other_col;</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a1cebbddb8d43bec60cbbae102bd6a6e5">SymmetricDifference</a>(</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> [<span class="keyword">this</span>](<span class="keywordtype">int</span> i) { <span class="keywordflow">return</span> rows_[i].slack &lt; kSlackThreshold; },</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> col_to_rows_[eliminated_col], &amp;col_to_rows_[other_col]);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordflow">if</span> (old_size != 1 &amp;&amp; col_to_rows_[other_col].size() == 1) {</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> singleton_cols_.push_back(other_col);</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> }</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> }</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> rows_[eliminated_row].cols.resize(new_size);</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> }</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="comment">// Clear col.</span></div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> col_to_rows_[eliminated_col].clear();</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> rows_[eliminated_row].slack += shifted_lp_values_[eliminated_col];</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span>}</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span>std::vector&lt;std::vector&lt;std::pair&lt;glop::RowIndex, IntegerValue&gt;&gt;&gt;</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#af7012dee6abfab160a910241b61e1b1d"> 238</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#af7012dee6abfab160a910241b61e1b1d">ZeroHalfCutHelper::InterestingCandidates</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model_random_generator.html">ModelRandomGenerator</a>* random) {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> std::vector&lt;std::vector&lt;std::pair&lt;glop::RowIndex, IntegerValue&gt;&gt;&gt; result;</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// Initialize singleton_cols_.</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> singleton_cols_.clear();</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = 0; <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> &lt; col_to_rows_.size(); ++<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordflow">if</span> (col_to_rows_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].size() == 1) singleton_cols_.push_back(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> }</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// Process rows by increasing size, but randomize if same size.</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> std::vector&lt;int&gt; to_process;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = 0; <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; rows_.size(); ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) to_process.push_back(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> std::shuffle(to_process.begin(), to_process.end(), *random);</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> std::stable_sort(to_process.begin(), to_process.end(), [<span class="keyword">this</span>](<span class="keywordtype">int</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keywordtype">int</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> return rows_[a].cols.size() &lt; rows_[b].cols.size();</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> });</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : to_process) {</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> ProcessSingletonColumns();</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keywordflow">if</span> (rows_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].cols.empty()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">if</span> (rows_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].slack &gt; 1e-6) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keywordflow">if</span> (rows_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].multipliers.size() &gt; kMaxAggregationSize) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// Heuristic: eliminate the variable with highest shifted lp value.</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="keywordtype">int</span> eliminated_col = -1;</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordtype">double</span> max_lp_value = 0.0;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : rows_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].cols) {</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">if</span> (shifted_lp_values_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] &gt; max_lp_value) {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> max_lp_value = shifted_lp_values_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> eliminated_col = <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> }</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> }</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keywordflow">if</span> (eliminated_col == -1) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a0878d4f013921f646b839964ad02919b">EliminateVarUsingRow</a>(eliminated_col, <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> }</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// As an heuristic, we just try to add zero rows with an odd rhs and a low</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// enough slack.</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : rows_) {</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.cols.empty() &amp;&amp; <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.rhs_parity &amp;&amp; <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.slack &lt; kSlackThreshold) {</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> result.push_back(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>.multipliers);</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> }</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> }</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;#candidates: &quot;</span> &lt;&lt; result.size() &lt;&lt; <span class="stringliteral">&quot; / &quot;</span> &lt;&lt; rows_.size();</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span>}</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> </div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span>} <span class="comment">// namespace operations_research</span></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<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>
<div class="ttc" id="abase_2logging_8h_html_a4bd2e815ca2f702a4b6aa744b1ff3b82"><div class="ttname"><a href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a></div><div class="ttdeci">#define CHECK_LT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00706">base/logging.h:706</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
<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#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae4db23f10f5d4aad6d735f5a74cd6f8c"><div class="ttname"><a href="base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c">CHECK_LE</a></div><div class="ttdeci">#define CHECK_LE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00705">base/logging.h:705</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00984">base/logging.h:984</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_random_generator_html"><div class="ttname"><a href="classoperations__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#l00115">sat/util.h:115</a></div></div>
<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#l00170">zero_half_cuts.cc:170</a></div></div>
<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 &amp;binary_row)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00060">zero_half_cuts.cc:60</a></div></div>
<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&lt; bool(int)&gt; extra_condition, const std::vector&lt; int &gt; &amp;a, std::vector&lt; int &gt; *b)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00122">zero_half_cuts.cc:122</a></div></div>
<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#l00030">zero_half_cuts.cc:30</a></div></div>
<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&lt; double &gt; &amp;lp_values, const std::vector&lt; IntegerValue &gt; &amp;lower_bounds, const std::vector&lt; IntegerValue &gt; &amp;upper_bounds)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00039">zero_half_cuts.cc:39</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_zero_half_cut_helper_html_a5ee01a4c637125095a16a5c23bd227a3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a5ee01a4c637125095a16a5c23bd227a3">operations_research::sat::ZeroHalfCutHelper::AddOneConstraint</a></div><div class="ttdeci">void AddOneConstraint(glop::RowIndex, const std::vector&lt; std::pair&lt; glop::ColIndex, IntegerValue &gt; &gt; &amp;terms, IntegerValue lb, IntegerValue ub)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00069">zero_half_cuts.cc:69</a></div></div>
<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&lt; std::vector&lt; std::pair&lt; glop::RowIndex, IntegerValue &gt; &gt; &gt; InterestingCandidates(ModelRandomGenerator *random)</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8cc_source.html#l00238">zero_half_cuts.cc:238</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
<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#l00183">markowitz.cc:183</a></div></div>
<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#l00182">markowitz.cc:182</a></div></div>
<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#l00085">integer.h:85</a></div></div>
<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#l00077">integer.h:77</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</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>
<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&lt; double &gt; lower_bounds</div><div class="ttdef"><b>Definition:</b> <a href="sat_2lp__utils_8cc_source.html#l00606">sat/lp_utils.cc:606</a></div></div>
<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&lt; double &gt; upper_bounds</div><div class="ttdef"><b>Definition:</b> <a href="sat_2lp__utils_8cc_source.html#l00607">sat/lp_utils.cc:607</a></div></div>
<div class="ttc" id="asat_2util_8h_html"><div class="ttname"><a href="sat_2util_8h.html">util.h</a></div></div>
<div class="ttc" id="astrong__integers_8h_html"><div class="ttname"><a href="strong__integers_8h.html">strong_integers.h</a></div></div>
<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#l00066">zero_half_cuts.h:66</a></div></div>
<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&lt; std::pair&lt; glop::RowIndex, IntegerValue &gt; &gt; multipliers</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00068">zero_half_cuts.h:68</a></div></div>
<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#l00077">zero_half_cuts.h:77</a></div></div>
<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&lt; int &gt; cols</div><div class="ttdef"><b>Definition:</b> <a href="zero__half__cuts_8h_source.html#l00071">zero_half_cuts.h:71</a></div></div>
<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#l00074">zero_half_cuts.h:74</a></div></div>
<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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